ABSTRACT Do the geographic contexts in which disadvantaged children are raised influence whether they have difficulties in elementary school? We address this question by estimating Cox proportional hazard models with instrumental variable measures of context, using data for 410 low-income, Latino and African American children who lived in Denver public housing before age six. The Denver Housing Authority’s procedure for allocating families to dwellings mimics random assignment, thus offering an unusual natural experiment for measuring context effects isolated from geographic selection bias. We find that several socioeconomic and demographic contextual indicators are statistically and substantively important predictors of low-income, Latino and African American children’s difficulties in elementary school, though sometimes in nonlinear and interactive ways. Generally, the hazard of being assigned to special education classes, suspended or forced to repeat a grade is greater in neighborhoods with higher occupational prestige and percentages of immigrants and lower in those with higher percentages of African American residents. Abstract word count: 154 JEL codes: I21, R2, R29 Keywords: neighborhood effects, natural experiments, elementary school outcomes, instrumental variables 1 "Elementary School Difficulties of Low-Income, Latino and African American Youth: The Role of Geographic Context" INTRODUCTION Improving the educational outcomes for low-income, minority youth has been a longstanding goal of urban educational policy, given the importance of these outcomes in shaping future life chances (Newburger, Birch and Wachter, 2011; Tate, 2012). Though the importance of home environment is undeniable, increasing social scientific attention has been devoted to investigating the degree to which geographic context (“context” hereafter) also exerts a substantial, independent influence upon educational outcomes; for recent reviews, see: DeLuca and Dayton (2009); Johnson (2010); Sastry (2012); Niewenhuis and Hooimeijer (2014); Sharkey and Faber (2014). The investigation of context effects on educational outcomes is complicated by numerous significant empirical challenges; see: Galster (2008); Harding et al. (2011); Sharkey and Faber (2014). These principally include: (1) geographic selection bias; (2) limited variability of context experienced by low-income families; and (3) multidimensional heterogeneity of context.1 As amplified below, our study arguably meets all three challenges, through leveraging a natural experiment involving the Denver (CO) Housing Authority (DHA), which since 1969 has operated public housing units located in a wide range of neighborhoods throughout the City and County of Denver. Because the initial assignment of households on the DHA waiting list to dwellings (and, thus, to 1 Other challenges include measuring the timing and duration of exposure to a particular dimension of context, the appropriate geographic scale(s) of “context,” the measurement of various aspects of context (especially causal processes). and potential heterogeneity of contextual effects across different kinds of children. 2 associated geographic context) mimics a quasi-random process, this program represents an unusual opportunity for reducing geographic selection bias and observing the unusual combination of low-income children raised in high-quality spaces. We further control for potential geographic selection bias that may emerge post-DHA assignment by instrumenting for context experienced during elementary school with the characteristics associated with the place where the family was first offered a dwelling by DHA. We marshal census and administrative data in devising a wide array of indicators measuring context. In this study we analyze data from administrative sources and data we have collected from telephone surveys with Latino or African American current and former DHA tenants who were raising children when they lived in DHA housing. Our surveys provide retrospective information about academic performance and temporally corresponding characteristics of children, their caregivers2 and their households. Our research question involves identifying the magnitude of context effects: Are there significant differences in the hazards of low-income Latino and African American children encountering academic and behavioral difficulties during elementary school (i.e., special education assignment, repeating a grade, being suspended) that can be attributed to differences in their geographic environments, all else equal?3 Though secondary school outcomes are undoubtedly important, we are unapologetic in 2 We will use the term caregivers instead of parents in this paper because a substantial share of children in our study were not being raised by their biological parents. 3 More specifically, we answer this question in our study by focusing on low-income Latino and African American children whose families were assigned DHA housing before they were age six, who spent at least two years living in DHA housing and who were at least age 12 by the time of our Denver Housing Study survey. 3 our focus because the impact of early childhood context may produce lasting effects (Slavin, Karweit, and Wasik 1993; Bouchard 1997; Duncan et al. 1998; Shonkoff and Phillips 2000; Sampson, Sharkey, and Raudenbush, 2008). Framing our investigation in terms of urban policy, we are asking what happens to low-income Latino and African American students in elementary school when their families are assigned to public housing in radically different parts of Denver. HOW GEOGRAPHIC CONTEXT MIGHT AFFECT SCHOOL PERFORMANCE Our theoretical framework for studying links between geographic contexts and children and youths’ outcomes draws most heavily from accepted ecological models of human development. This perspective sees children’s development being shaped by the proximal (e.g., family) as well as distal (e.g., neighborhood, school) contexts in which children live and interact (e.g., Bronfenbrenner and Morris, 1998). Geographic context may affect children through a variety of causal mechanisms that can occur either through social, institutional, or biological processes; for extended discussions see Jencks and Mayer (1990), Duncan, Connell and Klebanov (1997), Gephart (1997), Sampson (2001), Dietz (2002), Sampson, Morenoff, and Gannon-Rowley (2002), Odis (2007), Johnson (2010); Harding et al. (2011), Galster (2012) and Sharkey and Faber (2014). The potential mechanisms relevant for school performance of young children include: peer influences; socialization and social control; violence and social disorder; institutional resources; environmental health; parental mediation; and school practices: Peer Influences: Children may develop and modify attitudes, values, behaviors and expectations about school as a result of interactions with proximate peers in 4 neighborhoods and schools (Anderson, 1990; Case and Katz, 1991). These peer effects may be transmitted among children in a contagion-like fashion (Crane, 1991; South, Baumer and Lutz, 2003). Socialization and Social Control: Children’s attitudes, values, behaviors and expectations about school may be shaped by local youth and/or adult role models in the environs and norms enforced by the residential and/or school community (Wilson, 1987; Klebanov, Brooks-Gunn and Duncan, 1994; Connell and Halpern-Felsher, 1997; McCoy, Roy, and Sirkman, 2013). Violence and Social Disorder: Exposure to violence in the neighborhood or school may lead to adverse physical responses (like ill health from stress), psychological responses (like post-traumatic stress syndrome) and inhibitions to speech communication, all of which impede academic performance (Massey, 2001; Hurt et al., 2001; Henrich et al., 2004; Ratner et al., 2006; Sampson, Sharkey and Raudenbush, 2008). Institutional Resources: Public and private institutions controlling services and facilities (especially schools, after-school tutoring, etc.) vary spatially in their quantity and quality of resources, thereby differentially affecting youths’ perceptions of the value of good school performance (Entwisle et al. 1997; Bennett, 2011). Variations in the physical, curricular, pedagogical and student-body quality of elementary schools is of obvious relevance here (Jargowsky and El Komi, 2011). Some components of local institutions may be endogenous to context. For example, neighborhoods may affect the socioeconomic and behavioral composition of local schools’ students to the extent that they are strongly linked to attendance zones, thereby shaping the peer influences to which 5 children will be exposed in the classroom (Feinstein and Symons, 1999; Hoxby, 2001; Lavy, Silva, and Weinhardt, 2009; Sykes and Musterd, 2011). Environment and Health: Geographically-based variations in exposure to ambient noise, toxins, lead, or other pollutants can affect mental and behavioral development and the severity of school absences due to asthma and other diseases, thereby affecting children’s academic performance (Aneshensel and Sucoff, 1996; Acevedo-Garcia et al. 2003). Parental Mediation: Variants of the foregoing mechanisms may also affect the physical and mental health, attitudes, behaviors, and resources of parents. These indirect contextual effects may be transmitted to children inasmuch as they affect the parents’ willingness and ability to assist, monitor, and enrich their children’s educational experiences (Connell and Halpern-Felsher, 1997; Furstenberg et al, 1999; Leventhal and Brooks-Gunn, 2000; Oh, 2005) or deter other behaviors that interfere with their school performance (Bellair and Roscigno, 2000). School Practices: Schools may have de jure and/or de facto practices about how certain types of students will be treated by teachers, staff and administrators. Some schools may be more prone to, for example, identify low-income students with developmental disabilities, assign them to special education classes, or reactive punitively to shortcomings in discipline (Oswald et al., 1999; Drame, 2002; Ferri and Connor, 2005; Tajalli and Garba, 2014). Though there is evidence to support several of the context effect mechanisms above, there is no agreement on which mechanism(s) may dominate for elementary school outcomes. Indeed, this remains a critical realm of future research (Harding et al. 6 2011; Galster, 2012; Sharkey and Faber, 2014).4 Below we will reflect on what our findings might imply for these causal processes. MEASURING THE INDEPENDENT, CAUSAL EFFECT OF CONTEXT: CHALLENGES AND RESPONSES IN THE EMPIRICAL LITERATURE From a developmental perspective it is clear theoretically that the academic performance of children will be jointly influenced by characteristics of: the children and their caregivers, households, schools and neighborhoods. Attempts to measure the causal contribution of neighborhood confront many difficult empirical questions, however. What are the appropriate neighborhood characteristics to measure? Can adequate variation in neighborhood context among low-income youth be obtained from nonexperimental datasets? Given that the analyst cannot, by definition, operationalize and measure all caregiver characteristics, what can be done to minimize potential bias from these omitted variables that may be strongly associated both with caregivers’ neighborhood selection process and the child’s school performance? No single study has addressed all of these questions satisfactorily; for a fuller discussion see Galster (2008, 2012); Johnson (2010); Niewenhuis and Hooimeijer (2012). Virtually all the U.S.-based work has used as indicators of context census tracts measures of socio-economic status (rates of poverty, female headship, welfare receipt, educational and occupational attainment) and, less often, ethnic and nativity composition as proxies for the underlying causal processes described above. Few studies have, however, also 4 Two other theoretical aspects about causal process that are beyond the scope of our review: contingency (Bennett, 2012; Galster, 2012; Small and Feldman, 2012; Francois, Overstreet and Cunningham, 2012; Sharkey and Faber, 2014) and nonlinear relationships (Crane, 1991; Galster, 2014; Galster, Andersson and Musterd, 2014). 7 operationalized the aforementioned exposure to violence, environmental health, or institutional mechanisms affecting school performance, and thus the specter of omitted variable bias must be acknowledged. Similarly, most studies either measure context of school or residential neighborhood (for exceptions, see: Cook et al., 2002; Owens, 2010; Sykes and Musterd, 2011; Carlson and Cowan, 2015). Moreover, few non-experimental studies have focused on potential context effects upon low-income minority youth (arguably the most relevant group from the perspective of urban policy) because of inadequate sample sizes and/or variation in neighborhood contexts (DeLuca and Dayton, 2009). Many studies have employed surveys that permit the statistical control of a wide range of parental and youth characteristics, though no survey can avoid with certainty the potential problem of geographic selection based on caregiver unobservables, of course. The vast majority of U.S.-based studies in this field5 have reported nontrivial partial correlations between various measures of the socioeconomic composition of neighborhood residents and several measures of school performance; cf. Datcher (1982), Corcoran et al. (1990), Crane (1991), Garner and Raudenbush (1991), Clark (1992), Duncan (1994), Duncan, Brooks-Gunn, and Klebanov (1994), Connell et al. (1995), Chase-Lansdale and Gordon 1996; Ensminger, Lamkin and Jacobson (1996), ChaseLansdale et al. (1997), Kohen et al. (2002), Ainsworth (2002), South, Baumer and Lutz (2003), Ceballo, McLoyd and Toyokawa (2004), Sampson, Sharkey and Raudenbush (2008), Bennett (2011) and Francois, Overstreet and Cunningham (2012). Recent metaanalysis of the international literature by Niewenhuis and Hooimeijer (2014) and a review 5 For an exception, see Plotnick and Hoffman (1995). The European-based evidence is considerably more mixed in conclusions; cf. Kauppinen (2007), Nicoletti and Rabe (2010) and Niewenhuis and Hooimeijer (2014). 8 of the U.S. literature by Sharkey and Faber (2014) conclude that there can be nontrivial neighborhood effects on school outcomes.6 The causal interpretation of context-educational performance relationships measured by these studies is subject to challenge, however, due to potential geographic selection bias.7 There have been several types of methodological responses to this challenge in the education-context effects literature: Propensity Score Matching: Outcomes for children receiving some neighborhood “treatment” are compared to those for a synthetic sample of non-treated matched via a probability model of their similar likelihoods of being treated (e.g., Harding, 2003) Sibling Models Based on Longitudinal Data: The biases from unobserved, timeinvariant caregiver characteristics are eliminated by measuring differences in educational outcomes and neighborhood experiences between two siblings (e.g., Aaronson, 1998). Fixed-Effect Models Based on Longitudinal Data: Unobserved, time-invariant characteristics of caregivers that may affect both neighborhood selection and their children’s educational outcomes are measured by dummy variables (e.g., Vartanian and Gleason, 1999; Jargowsky and El Komi, 2011).8 6 They conclude that the strength of the relationship is contingent on outcome, youth and context being investigated, however. 7 The basic issue is that caregivers may have certain (unmeasured) behaviors, values, and skills related to their children’s school performance and move to / remain in certain types of neighborhoods as a consequence of these same attributes. Any observed statistical relationship between their children’s neighborhood conditions and school outcomes may therefore be biased because of this systematic spatial selection process, even if all the parents’ and children’s observable characteristics are controlled (Manski 1995, 2000; Duncan et al. 1997; Duncan and Raudenbush 1999, Dietz 2002). The direction of the bias has been the subject of debate, with Jencks and Mayer (1990) and Tienda (1991) arguing that measures of neighborhood impacts are biased upwards, and Brooks-Gunn, Duncan, and Aber (1997) arguing the opposite. Gennetian, Ludwig, and Sanbonmatsu (2011) show that these biases can be substantial enough to seriously distort conclusions about the magnitude and direction of neighborhood effects. 8 Here we do not consider the techniques related to fixed-effects that have been employed in the voluminous literature related to peer effects, such as value-added modeling, since they are not directly related to controlling for geographic selection. For the seminal example, see Hanushek (1971); Reardon and Raudenbush (2009) provide a critique; Rothstein (2010) provides a recent application. 9 Instrumental Variables for Neighborhood Characteristics: Proxy variables for neighborhood characteristics are devised that only vary according to attributes exogenous to the individual children and their caregivers (e.g., Duncan, Connell, and Klebanov, 1997; Crowder and South, 2003; Galster et al. 2007). Timing of Events: Weinhardt (2014) has argued that youth moving into deprived social housing-dominated neighborhoods after taking a school achievement test are likely to share common unobservable characteristics with youth moving into the same places before taking the test, so the short-term effect of the neighborhood can be measured by comparing the two groups’ outcomes. Sharkey and Sampson (2010) and Sharkey et al. (2012, 2014) address the selection bias problem by exploiting the variation in the timing of local homicides compared to interview assessments for a sample of children in families that have previously selected the same neighborhood. Carlson and Cowan (2015) take advantage of the institution of an open-enrollment system. Natural Quasi-Experiments: Observations are produced by idiosyncratic interventions, such as the Gautreaux and Yonkers public housing desegregation programs (e.g., Rosenbaum, 1995; Fauth, Leventhal, and Brooks-Gunn, 2007; DeLuca et al. 2010), public housing revitalization programs (Jacob, 2004; Clampet-Lundquist, 2007) or inclusionary zoning (Schwartz, 2010; Casciano and Massey, 2012) that create exogenous variation in contexts for assisted tenants.9 Random Assignment Experiments: Data are produced by an experimental design whereby households are randomly assigned to different neighborhoods; the only relevant example here is the Moving To Opportunity (MTO) demonstration (Ludwig, Ladd and 9 Often there is still room for some geographic selection by participants and/or by program staff in these programs, however. 10 Duncan, 2001; Leventhal and Brooks-Gunn, 2004; Leventhal, Fauth and Brooks-Gunn, 2005; Kling, Liebman and Katz, 2007; Ludwig et al. 2008; Sanbonmatsu et al. 2011). Unfortunately, there is no consensus about the unbiased magnitude of context effects on educational outcomes from this set of studies that attempt to overcome selection bias (Burdick-Will et al., 2010; Niewenhuis and Hooimeijer, 2014; Sharkey and Faber, 2014). The studies noted above that use the first five, non-experimental methods for overcoming selection bias find strong residential neighborhood effects on educational outcomes, with one exception (Weinhardt, 2014). Similarly, the natural quasiexperiments provide only one example of no effect: Jacob (2004). The only randomassignment experiment in the field, however, identified generally small effects on educational outcomes (Ludwig, Ladd and Duncan, 2001; Kling, Liebman and Katz, 2007; Sanbonmatsu et al. 2006; 2011), though results from Chicago and Baltimore may be more substantial (Sharkey and Faber, 2014). However, MTO-based studies’ conclusions regarding context effects have been challenged for many reasons (cf. Sanbonmatsu et al. 2006; Clampet-Lundquist and Massey, 2008; Sampson, 2008; Briggs, Ferryman, Popkin, and Rendon; 2008, DeLuca and Dayton, 2009; Burdick-Will et al., 2010; Briggs, Popkin and Goering, 2010; Galster, 2011).10 Thus, the existing literature has not provided definitive evidence about the potential educational benefits to low-income, Latino and African American children from 10 The debate focuses on four domains. First, although MTO randomly assigns participants to treatment groups, it neither randomly assigns characteristics of neighborhoods initially occupied by voucher-holders (except maximum poverty rates for the experimental group) nor characteristics of neighborhoods in which participants in all three groups may move subsequently. Thus, there remains considerable question about the degree to which geographic selection on unobservables persists. Second, MTO may not create adequate duration of exposure to contextual conditions by any group at any location to observe much treatment effect. Third, MTO overlooks the potentially long-lasting and indelible developmental effects upon adult experimental group participants who spent their childhoods in disadvantaged places. Fourth, it appears that even experimental MTO movers rarely moved out of predominantly minority-occupied neighborhoods near those of concentrated disadvantage and achieved only modest changes in school quality. 11 residence in geographic contexts that vary on multiple dimensions. Our study aims to shed light on this crucial urban issue by leveraging a natural experiment related to the Housing Authority of the City and County of Denver (DHA). As explained below, our unique contribution is that we simultaneously address all three empirical challenges above. We use the DHA allocation process to introduce exogenous variation into household location; low-income, minority children are quasi-randomly assigned to a wide variety of neighborhoods throughout Denver County. We further control for potential geographic selection after initial assignment by using instrumental variables for contextual characteristics experienced during elementary school. THE NATURAL EXPERIMENT INVOLVING PUBLIC HOUSING IN DENVER In addition to its large-scale, conventional public housing developments, the DHA has operated since 1969 a program providing approximately 1,500 low-income families with opportunities to live in scattered-site, single-family and small-scale, multi-family units. These units are located in a wide range of neighborhoods throughout the congruent City and County of Denver, whereas the modestly scaled, well-maintained conventional developments are typically located in less-advantaged neighborhoods. The generally high-quality public housing dwellings located in a majority of neighborhoods, wellmanaged by a consistently high-performing housing authority, distinguishes the situation in Denver from those in the MTO sites and in other cities with more problematic public housing contexts. The wide variety of neighborhood conditions that DHA offered tenants in our study are shown in the middle panel of Table 1 and maps in online Appendix C. In comparing neighborhoods where DHA dwellings are located to Denver County as a whole (cf. middle and right-hand panels in Table 1) it is clear that while, on average, 12 DHA units are in less-advantaged, greater-minority, higher-crime areas, there is substantial variation in all indicators. [Table 1 about here] From 1987 onwards, as applicants (who met certain basic eligibility criteria) came to the top of the public housing waiting list they were offered a vacant DHA unit (in either conventional or scattered-site programs) with the number of bedrooms appropriate for their family size and gender of children. If they did not accept this unit they were offered the next similarly sized unit that became available (typically after a nontrivial wait). Applicants who did not accept this second unit dropped to the bottom of the queue, creating a wait of a year or more. Evaluating the Randomness of Initial Assignment As detailed in Appendix A [intended as online], we conducted a variety of statistical tests to ascertain whether the initial assignment of households to a DHA dwelling unit (and neighborhood thereby) mimicked random assignment of household to neighborhood. These tests not only involve conventional “balancing tests” of correlations between observable tenant and neighborhood characteristics but also an original test for ascertaining whether typically unobserved tenant characteristics were uncorrelated with neighborhood characteristics. We concluded that, conditioned on ethnicity (which we control in our models), the DHA allocation process produced a quasirandom initial assignment of households across neighborhood characteristics. The quasi-randomness of this initial DHA assignment potentially erodes over time, however, as some residents selectively leave their initial locations while others selectively stay. Thus, three potential sources of geographic selection based on 13 parent/caregiver unobservables might arise after initial assignment. First, DHA households can voluntarily transfer between scattered-site and conventional public housing developments. This occurred rarely, however, as documented in Appendix A. Second, a substantial part of our information comes from households no longer residing in DHA housing, and their subsequent locations were likely not randomly chosen.11 A third potential source of selection relates to those who do not move out of their DHA housing for an extended period. Perhaps their unwillingness or inability to move out of DHA is related to some unobservable caregiver characteristics that also may be connected to the educational outcomes being investigated. Identification Strategy The aforementioned potentials for geographic selection in the natural experiment led us to adopt an identification strategy that employs the year and contextual characteristics associated with the dwelling first offered by the DHA to a household when it rose to the top of the waiting list. We would argue that the offered spatial characteristics and the year of such offer provide valid instruments for the actual context experienced by children during elementary school. There is no plausible reason why the offer of a place or its timing should: (1) influence a child’s educational outcomes other than through its influence on actual geographic context experienced; or (2) be related to unobservable characteristics of the caregiver related to neighborhood preferences and the child’s educational performance. We would further argue that the offered spatial characteristics likely provide strong instruments for the actual characteristics experienced by children during elementary school because (as noted above) three-quarters of households ended up residing in the neighborhood first offered and a majority of them 11 Slightly more than one-third of all caregivers interviewed in the study were former DHA residents. 14 were still residing there when we interviewed them to gather information about their children’s educational outcomes. The timing of the offer may also be a strong instrument for characteristics that evinced clear overall trends during the study period, such as rising densities of immigrants and Latinos, and declining percentages of dwellings built before 1940 and crime rates. As we demonstrate later, these claims are verified empirically. A complimentary way to describe our approach is in terms of an “intent to treat” analysis. DHA could be viewed as offering to the waiting list household a “treatment” consisting of a bundle of geographically attached attributes: dwelling, residential neighborhood, school, environment, public service package, etc. Most accept this treatment but some hold out for another package they deem preferable to that originally offered. Others may subsequently move from the initially occupied DHA context. Regardless, our identification strategy can be thought of as a way to evaluate causally the impact of DHA’s public housing program (having both conventional and scattered-site components) on minority children’s elementary school performance. Generality The use of natural experiments inevitably raises questions about the generality of results. We believe that our findings can fairly be generalized to low-income, Latino and African American families who apply for and remain on the waiting list long enough to obtain public housing. As such, it may not be fully generalizable to the population of minority families who obtain subsidized rental housing (like vouchers), and certainly may not be to the larger population of minority families who qualify for housing assistance. Nevertheless, it is similar to--yet considerably more general than--the populations forming the samples for the oft-cited MTO-based scholarly studies noted above. 15 DATA COLLECTION IN DENVER Denver Child Study Survey of Current and Former DHA Households Most information we analyze here come from the Denver Child Study survey that we developed and fielded during 2006-2008. Study eligibility criteria were: (1) presence of children in the home between ages 0 and 18 years when they moved into DHA; (2) family remained in DHA housing for at least two years; (3) family first entered DHA in 1987 or later (when DHA’s current quasi-random assignment process came into operation); and (4) were of Latino or African American ethnicity. We estimate an overall participation rate of 56.5 percent, with most non-participation due to our inability to locate the household; less than six (6) percent refused to participate once contacted. Further details of this survey, are presented in Appendix B [intended as online]. Our team successfully completed 710 interviews with the primary caregivers of eligible households whose surveys subsequently passed our rigorous data verification and reliability checks. The 410 children analyzed here come from 246 of these households and meet the following criteria: (1) were assigned to DHA housing before they were age six; (2) spent at least two years living in DHA housing; (3) were at least age 12 by the time of our survey; and (4) had complete information on all relevant variables. We emphasize that in all cases analyzed here, assignment to DHA housing preceded the elementary school period during which outcomes were measured. Caregiver and Household Characteristics Our Denver Child Study survey collected information on a wide variety of caregiver and household characteristics that we employed as controls; those ultimately employed are listed in Table 2. Covariates included: whether the caregiver was born outside of the U.S., proportion of the elementary school period that both parents were 16 cohabiting, whether the caregiver had attained a high school diploma or higher, the cumulative number of household moves the child had experienced and the natural logarithm of average household income while the child was in elementary school. Our survey also asked questions that permitted us to measure a series of stressful household events from which we created an annual average “household economic stressors index” (scaled 0-5) experienced while the child was in elementary school. Caregivers were asked whether and when they experienced any of the following events for each residence: a. Unemployed a month or more?; b. Have a major illness or injury?; c. Have too little money to buy enough food for your family?; d. Have your electricity, gas, or phone service cut off?; or e. Get evicted from your home? This index was incremented by one for each of the above circumstances experienced by the household. Previous research has indicated that acute economic shock to a household can have seriously disruptive effects on children’s’ mental and physical health that, in turn, can impair a variety of outcomes over the longer term (Shonkoff et al., 2012). The survey also asked questions that permitted us to estimate the presence of depressive symptomatology exhibited in primary caregivers at the time of survey (CES-D).12 Because we employ Cox Proportional Hazard models, the temporal measurement of the aforementioned time-varying characteristics depended on the year when each child first experienced the particular time-varying educational outcome being investigated (if ever). 13 Cohabiting, income and stressor variables were measured as averages from age 6 until the first occurrence of the given outcome, or until age 11 if the outcome did not 12 We use a dummy variable indicating whether the parent exhibited sub-clinical or clinical depressive symptomatology (score at least 16 on the CES-D scale); details are available in Appendix B. 13 The exception was the CES-D scale, which was only measured once at time of survey and is intended as a control for respondent affect at that time. 17 occur by then. The cumulative number of lifetime moves and education of caregiver were measured at first occurrence of the given outcome, or at age 11 if the outcome did not occur by then. We believe that this battery of characteristics adequately controls for household role modeling, child supervision, parenting behavior, attitudes, norms, and economic resources that shape students in ways that would affect their educational performance (Hotz and Pantano, 2014). Indeed, these covariates are conventionally employed in educational outcome models (e.g., Crowder and South, 2003). In preliminary models we experimented with a much wider range of covariates. Given our relatively modest sample sizes, however, we omitted from our reported models covariates that never proved statistically significant in preliminary trials.14 [Table 2 about here] Denver Child Study caregiver and household characteristics as portrayed in Table 2 clearly reflect their disadvantaged circumstances. While their child was in elementary school their average annual income was below $11,700 and both parents were cohabiting only 33 percent of the years. Over half the caregivers had no high school diploma; 17 percent were immigrants. Caregivers often faced economic challenges: 1.26 incidents of acute financial crisis while their children were in elementary school, on average annually. Compared to most low-income households they were remarkably stable, however, due to the low turnover among DHA tenants: children had moved only 1.28 times in their lives by the first instance of the given elementary school outcome (or age 11). 14 In preliminary models our additional caregiver controls included measures of: disability, fertility and employment history, alcohol and drug use, and whether the household had health insurance. We also assessed caregiver gender, but since virtually all were female this was not included as a covariate. In preliminary models we also controlled for birth order of the child and family size, but such did not prove predictive. 18 Child Characteristics The Denver Child Study survey asked caregivers to supply information about all of their children with whom they had lived in DHA public housing for at least two years. The only characteristics that proved important were our gender/ethnicity dummy control variables; see Table 2. Our analysis sample consists of 28 percent Latinas, 29 percent Latinos, 21 percent African American girls and 22 percent African American boys. We ascertain difficulties in elementary school on the basis of the Denver Child Study survey caregiver responses. It was beyond the scope of this study to gather data from school administrative records. Placement in special education classes was based on the question, “Has __ [child] __ ever been classified by school personnel as needing special education? [If yes, at what age?].” Twelve percent of our sample had experienced such special education placements during elementary school, with the mean age of first placement at 7.8 years old. Grade repetition was determined on the basis of the question “Has __ [child] __ ever repeated a grade? [If yes, which grade(s) was/were repeated?]?” Nine (9) percent of our sample repeated at least one grade during elementary school, with an average age of 8.4 years at time of first repetition. Disciplinary problems were measured by caregivers’ responses to the question, “Was __ [child] __ ever suspended from elementary school [If yes, during which grades?].”15 In our sample seven (7) percent of students had been suspended, with a mean age at the first such disciplinary action of 9.4 years. We note that caregiver reports of student outcomes are common in the vast neighborhood effects literature that employs PSID or NLSY data; see the meta-analysis 15 There were too few expulsions during primary school to model this outcome. 19 by Nieuwenhuis and Hooimeijer (2014). Nevertheless, we recognize the potential shortcomings of our school performance indicators. They are subject to recall error by the caregiver survey respondent, though we intentionally chose outcomes for which this likely would be minimal.16 They cannot distinguish unambiguously among outcomes that are produced by the student’s academic abilities and behaviors and those that are produced by school programs, facilities, policies and actions by teachers, counselors and administrators. As illustration, a student may be sufficiently under-achieving to warrant repeating a grade but is not required to do so because of an institutional culture of social promotions in the school. Geographic Context Indicators We used census tract level data from the 1980, 1990 and 2000 censuses. We employed the Neighborhood Change Data Base (a Geolytics proprietary product) for this information because it adjusts data to account for potential changes in tract boundaries between decennial censuses. For estimates of non-census year data, we used linear interpolation or extrapolation. We gathered indicators that have been widely employed in prior research on neighborhood effects,17 including percentages of: households moving in during the prior year, female-headed households, families below the poverty line, unemployed adults, non-Hispanic African American population, Hispanic population, foreign-born population, homes that are renter-occupied, homes built before 1940, and mean occupational prestige based on the General Social Survey prestige score weighted by the observed proportional distribution of occupations of employees in the tract. Given 16 Random recall errors would drive down the statistical significance of measured neighborhood effects, however. 17 Cf. Carlson and Cowan (2015). Our neighborhood indicators are measured as averages for the elementary school period. 20 high correlations among several of these variables, we conducted a principal component analysis that consistently across census years produced a single component comprised of the roughly equally weighted sum of census tract percentages of: poor, unemployed, renters, and female householders. We call this our neighborhood social vulnerability index. We also acquired data on geographic context from the Denver-based Piton Foundation’s Neighborhood Facts Database, which provided small area-based, annually measured information culled from Denver administrative databases that are not provided by the Census. In this study, we used violent crimes and property crimes reported to police per 1,000 population that were averaged over the child’s elementary school years. These crime data are aggregated by the Piton Foundation to 77 named neighborhood areas consisting of two census tracts, on average, and thus are measured at a larger spatial scale than our census-based data. To get a sense of the sorts of places where children in this study resided when attending elementary school, we present the mean characteristics of their geographic context in the left-hand panels of Table 1. We emphasize again, however, that it is the substantial variation around the mean that gives our study unusual power, and provides implicit testimony to the effectiveness of the DHAs scattered-site program; cf. the middle panels of Table 1. Table 1 indicates that our average child experienced during elementary school many census tract indicators suggesting moderately deprived contexts compared to Denver: mean social vulnerability index of about 142 (while the minimum value was 44), and modest occupational prestige (mean 36 while the minimum value was 32). The average tract was ethnically diverse: 18 percent African American, 53 percent 21 Latino and 29 percent other (Anglo and Asian), but neighborhoods varied from virtually none to almost all of one group or another. Further, 19 percent of the average neighborhood’s residents were foreign-born (3 percent minimum). Thirty percent of the housing stock was built before 1940, on average (minimum zero). In our children’s Piton neighborhoods, mean violent crime rates were 14 per thousand population (one minimum) and property crime rates were 77 per thousand population (15 minimum). The multiple geographic attributes we employ raises the specter of multicollinearity, however. As shown in Appendix Table 1, most of our indicators are indeed correlated to a statistically significant degree. Preliminary diagnostic regressions revealed, however, that the conventional Variance Inflation Factor limit (5.0) was exceeded only by the percentage of Latino residents.18 With the exclusion of this indicator from our analyses we can be confident that our findings were not unduly influenced by multicollinearity. Despite the fact that we employ more contextual indicators than virtually all prior studies, we acknowledge that we have only indirect and incomplete measures of the various potential causal mechanisms that might connect geographic context and elementary school outcomes, as discussed above and in Galster (2008). Our two crime measures serve as rather direct measures of violence and disorder. The concentration of old housing serves as a proxy for interior environmental deficits. Our neighborhood social vulnerability index, occupational prestige score, ethnic and nativity composition percentages serve as proxies for aspects of the peer effect and socialization / social control mechanisms, but they likely are also correlated with other mechanisms such as the quality of the natural environment and local institutions and public services such as 18 The VIF for percentage Latino was about 8 across our outcomes. 22 schools. Unfortunately, our study has no measures of the school environment, which other work has identified as an important conduit of context effects (Cook et al., 2002; Owens, 2010; Sykes and Musterd, 2011; Carlson and Cowan, 2015).19 It is therefore essential to consider how our lack of information about local school quality shapes the validity and interpretation of our results as measures of residential neighborhood or more general context effects. We believe that our estimates of the magnitude of geographic context effects remain valid and unbiased, though we cannot distinguish impacts arising from the residential neighborhood and the associated local school. Consider two possibilities of how school and residential neighborhood characteristics might be correlated. First, school characteristics might be strongly linked to geography (i.e., via rigidly applied school attendance zones), just as numerous other spatial attributes (Galster, 2001; Owens, 2010). Indeed, this is part of the institutional resources mechanism we discussed above: neighborhood embodies a “bundle” of contextual attributes, one of which is the local school. If school quality indeed were correlated with socio-demographic, physical and/or safety characteristics of the surrounding neighborhood, then an educational outcome model like ours could not distinguish whether, for example, the apparent effect from neighborhood occupational prestige on the hazard of a particular educational outcome transpired due to social processes among neighbors or its associated variations in school practices and resources. 19 Our research project had insufficient resources to access school administrative records for surveyed students or to generate aggregate measures of school quality or composition of student body. Such would have required doing so retrospectively to 1988 when our oldest students began elementary school. Few studies of neighborhood effects on educational outcomes have tried to control for school characteristics; see Cook et al. (2002), Owens (2010), Sykes and Musterd (2011), Sanbonmatsu et al., (2011), Jargowsky and El Komi (2011), and Carlson and Cowan (2015). 23 Nonetheless, we see this as a limitation of interpreting unambiguously how the context effect occurs, not whether it occurs. Indeed, this case is likely in our study since 91 percent of surveyed students attended the neighborhood elementary school.20 Second, the geographic link between school characteristics and neighborhood characteristics might be weak if caregivers can send their children to schools other than those servicing the neighborhood, whether they might be public magnet or charter schools, open-enrollment systems in nearby public school systems, or parochial school options. In such a situation, our educational outcome model indeed would have omitted school variables of likely importance. Yet, such would not bias the estimate of the effect of the neighborhood indicators included in the model because, by construction in this hypothetical, the school and neighborhood variables are not correlated.21 A final consideration is that school selection may be a joint process with residential neighborhood selection. Obviously, if households move out of DHA, caregivers can potentially select a neighborhood because it has a good local school associated with it (1st case above). Less obviously, they may still select it if they can opt into another school if the neighborhood does not have a good local school (2nd case above). This could cause a potential econometric problem of neighborhood and school selection based on caregiver unobservable characteristics. We believe that our identification approach overcomes the potential confounding effects of this joint selection process. If the “treatment” that DHA provides is the initial offer of a quasi-randomly As Carlson and Cowan (2015: 40) note, “In a context where school assignment rules produce an inextricable link between students’ school and neighborhood environments, the analytic approach…[of]…examining one context without explicitly accounting for the other—is unproblematic. In an important sense, these neighborhoods and schools are truly extensions of one another and can validly be treated as such analytically.” 21 In our case this proves to be the case, as explained below. When we control for whether children attended the local elementary school or not, there were virtually no differences in our estimates of neighborhood effects. 20 24 assigned dwelling/neighborhood/school, then subsequent selection of neighborhood/school packages can be viewed as a potential effect of the treatment. Thus, our model can be seen as producing unbiased, reduced-form estimates of context effects working (invisibly by us) through potential residential neighborhood and/or school characteristics, some of which may be selected endogenously in response to the DHA geographic “treatment” offered. ANALYTICAL APPROACH Cox Proportional Hazard Specification Our analytical approach models the timing of a particular elementary school outcome at time t for an individual ij with covariate vector χ using a Cox proportional hazards model:22 λ(t|χij) = λ0(t) exp(β1χ1ij + … + βnχnij ) = λ0(t) exp(χij β) where λ(t|χij ) is the observed time of outcome (or the censoring time of age 11) for youth ij and λ0(t) is the baseline hazard. We intentionally omit from our models any variables describing children’s mental and physical health, exposure to violence or risky behaviors, inasmuch as many of these may themselves be affected by context. In this fashion we avoid “over-controlling” and thus minimizing the apparent influence of geographic context. We can therefore interpret our models as akin to yielding “reduced form” estimates of the degree to which neighborhood variables correlate with elementary school difficulties through unspecified intervening causal pathways. 22 For these outcomes global chi-square tests failed to reject the null hypothesis that the hazards were proportional across groups, thus we estimate a Cox hazard instead of accelerated failure time model here. 25 We test for nonlinear effects using a spline specification. Each continuous context indicator X is supplemented by a corresponding spline variable that takes on the value of X less its mean for values greater than the mean and zero otherwise. A statistically significant spline coefficient indicates that the slope differs across above- and below-mean ranges. Instrumental Variables The results of our first-stage OLS regressions of elementary school context variables on the above instruments (and all the covariates in our second-stage model) are presented in Table 3. Results were encouraging: the R-squares ranged from .33 to .52 and all chi-square statistics were highly significant. Characteristics of the context first offered by DHA proved to be strong instruments for their corresponding characteristics during our children’s elementary school period, and often for other characteristics as well. Calendar year at time of first offer also was a strong instrument for all but the percentage of African American residents and the property crime rate. We thus can place confidence in the IV estimates reported below. [Table 3 about here] RESULTS Core Cox Proportional Hazard IV Models We present in Table 4 estimated parameters for Cox proportional hazard models where non-dichotomous predictors are normalized to aid cross-variable comparability of coefficients, and all neighborhood indicators are IV estimates. Overall the models perform satisfactorily using chi-square and log pseudo-likelihood criteria. Consider first results for covariates. The most consistent finding was that children who moved more evinced inferior elementary school outcomes in all three 26 measures, a result confirmed by other studies (see review in Ziol-Guest and McKenna, 2014). Children who moved one standard deviation more often during early childhood would be predicted to have a 45 percent greater hazard of being placed in special education, a 49 percent greater hazard of repeating a grade, and a 127 percent greater hazard of being suspended. Higher average household income was associated with fewer academic difficulties in elementary school, also as expected. Children whose families had a standard deviation-higher income during childhood would be predicted to have a 33 percent smaller hazard of being placed in special education and a 51 percent smaller hazard of repeating a grade. A standard deviation-higher number of average household stressors during childhood was associated with a doubling of the hazard of being suspended. Finally, Latinas were rarely suspended; their hazard was 98 percent lower than that of African American boys. Surprisingly, caregiver nativity, education, and cohabitation status were not strongly related to our three elementary school outcomes.23 More importantly for our research question, Wald chi-square tests of the null hypothesis that all seven neighborhood indicators were zero in each individual model could be rejected for the suspension outcome at p<.01, for special education at p<.02, and for repeating a grade at p<.08; the first two remained statistically significant even when a Bonferroni correction was applied.24 There were four coefficients of neighborhood variables that were significant at p<.05 or better across the models. A Bonferroni test of 23 The review 13 social experiments by Duncan, Gennetian and Morris (2007-08) also revealed, however, similar patterns of insignificance as predictors of educational outcomes. We also note that caregiver reporting of educational outcomes does not appear to be affected by their depressive symptomatology. 24 Bonferroni corrections to critical values for statistical inference are suggested when so many parameters are estimated across multiple models that some statistically significant results might emerge by chance. In this Bonferroni test the null is rejected if any of the three chi-square statistics associated with the three estimated equations is significant with a p value less than the selected alpha level divided by the number of equations (tests). In our case, the critical value was .05/3 = .017, a threshold that was met by the chi-square values associated with all but the repeat grade outcome. 27 the null hypothesis that all 21 neighborhood coefficients across the three outcomes jointly equaled zero was rejected at p<.05.25 We conclude that the observed pattern of several statistically significant coefficients of context variables was unlikely to have occurred by chance. Thus, we have confidence in presenting the individually statistically significant results; more holistic interpretation and discussion follows our robustness checks. [Table 4 about here] The nativity composition of the neighborhood proved a strong predictor of two outcomes. A child spending elementary school in a neighborhood having a standard deviation-higher average percentage of foreign-born residents would be predicted to have a 84 percent greater hazard of repeating a grade and a 175 percent greater hazard of being suspended. Ethnic composition was related to placement in special education classes. A child spending elementary school in a neighborhood having a standard deviation-higher average percentage of African American residents would be predicted to have a 70 percent smaller hazard of such placement. Finally, the occupational prestige score was positively related to placement in special education classes. A child spending elementary school in a neighborhood having a standard deviation-higher average prestige would be predicted to have a 51 percent greater hazard. We were surprised by the lack of statistical significance of other neighborhood indicators. In the case of our social vulnerability index, we think this is likely due to the idiosyncrasies of Denver where concentrated disadvantage (especially among African Americans) is rare. Neither measure of crime proved predictive; we think this is likely 25 In this Bonferroni test the null is rejected if any t-statistic associated with the 21 coefficients estimated across equations is significant with a p value less than the selected alpha level divided by the number of coefficients (tests). In our case, the critical value was .05/21 = .0024, a threshold that was met by the p value associated by the coefficient of percentage of foreign born residents in the suspension equation. For an analogous application in a neighborhood effects test, see Kling, Liebman and Katz (2007). 28 due to the larger geographic scale (on average, two census tracts) at which these indicators are measured, not because exposure to violence is not an important aspect of developmental context. Finally, we must note that even the strongest instrumental variable estimates add additional imprecision, tending to drive our contextual coefficients toward insignificance. Robustness Tests We explored several extensions of the core model to explore how robust the results in Table 4 were to alternative specifications. First, to probe differences in exposure to the DHA-assigned context, we experimented with two sorts of interaction terms allowing the impact of a context indicator to vary: (1) with child age at initial DHA assignment; and (2) with years a child spent in DHA during elementary school. These experiments revealed three interesting patterns, all of which indicated interaction effects that countered (but did not completely offset) the main effects noted above.26 Both the negative relationship between percentage of African American residents and the hazard of special education placement as well as the positive relationship between percentage of foreign-born residents and the hazard of being suspended were attenuated in absolute magnitude. The younger the child when first resided in DHA housing, the smaller the hazard though the main effects persisted whenever the child entered DHA. The positive relationship between average neighborhood occupational prestige and the hazard of special education placement fell to virtually nil if the child spent all of elementary school residing in DHA housing. Implications of these interactions are discussed below. 26 Detailed results are available from the authors. 29 Second, we conducted investigations employing spline regressions and uncovered some noteworthy non-linear relationships.27 Regarding the hazard of special education placement, the positive relationship with occupational prestige score demonstrates considerable diminishing returns at above-mean levels of prestige. The negative relationship with percentage African American only appertains at above-average percentages, suggesting a threshold point (Galster, 2014). Moreover, the percentage of foreign born evinced a positive relationship, but only for below-average ranges of this percentage, suggesting that this strong nonlinearity cloaked this relationship in the core model. Regarding the hazard of suspension, the positive relationship with percentage of foreign born residents persisted over all ranges, but an unusual nonlinear relationship emerged that was not seen in the core model. Occupational prestige was associated with lower hazards of suspension at below-average levels of prestige, but just the opposite at above-average levels. Explanations and implications of these nonlinear findings are discussed below. Finally, we considered how robust relationships would be when attending a neighborhood elementary school is controlled. As discussed earlier, families may make neighborhood and school selections jointly or independently, depending on the availability of non-local school options. We wished to test whether controlling for this selection altered our estimates of context effects; were they to do so it would imply that our identification strategy failed to remove bias. Reassuringly, we found that a dummy denoting that the child attended the neighborhood school (91 percent did) was never statistically significant and coefficients of neighborhood indicators were never altered. 27 Detailed results are available from the authors. 30 DISCUSSION We have identified several aspects of geographic context that are strongly associated with the hazards of low-income Latino and African American children having difficulties in elementary school. Because in our analysis residential neighborhood and school dimensions of context are so closely linked, however, our discussion will offer alternative (not mutually exclusive) interpretations of potential causal processes associated with these two dimensions that may underlie the statistical relationships observed. In each case the processes associated with residential neighborhood context will relate to the likelihood that the child objectively displays the problematic performance (e.g., low scores on standardized tests) or behavior (e.g., violent acts). The processes associated with schools will relate both to the likelihood that an administrative decision will be rendered (e.g., assignment to special education, suspension, or grade repetition) given a particular student’s performance or behavior, and to the possibility that a student’s performance will be altered by differences in school climate, resources and student body. Nativity Composition The hazard for low-income, minority children being assigned to special education classes, suspended, or required to repeat a grade generally is directly related to the share of immigrants in their geographic context, controlling for the nativity of their caregivers.28 The fact that the majority of such immigrants in Denver originate from Mexico likely is significant for interpreting these results. From a residential context perspective, immigrant-dense neighborhoods may offer our Denver Child Study children access to adults and extended family and friendship networks that better monitor 28 Complementary results were found by Tajalli and Garba (2014). 31 neighborhood children’s behavior as well as enhance their sense of neighborhood safety and security – both of which may foster environments that are more conducive to student learning and academic success. However, if these same networks of adult neighbors, family members and student peers themselves have limited English proficiency, low levels of literacy in either or both English and Spanish, and/or low levels of educational attainment, children residing in such neighborhood contexts are particularly vulnerable to not being cognitively ready for elementary school. Children who may only be exposed to adults and student peers with limited formal education also may be lacking the role modeling of social skills and behaviors necessary for learning. Lack of school readiness either cognitively or socially greatly increases the likelihood of being placed into special education classes and being retained in grade (Farran, 2000). Concern about school readiness has been the catalyst for the development of early childhood interventions such as Early Head Start, Head Start, and neighborhood learning communities for caregivers, grandparents, neighbors and friends of at-risk, disadvantaged young children.29 This mechanism is supported by our finding that the effect of foreign-born neighbors is strongest for children who first occupied DHA housing earlier in their childhoods, presumably during these critical formative years of cognitive, social, behavioral, and language development. From a school context perspective, immigrant-dense neighborhoods will translate into immigrant-rich classrooms. Immigrant elementary school students may provide fewer positive social externalities for their classmates (e.g., American cultural capital) and may indeed divert teachers’ attention from native-born students. Our findings also may be the result of schools in immigrant-dense areas diverting limited curricular 29 See, for example, Shonkoff and Meisels (2000) for an overview of these programs and their outcomes. 32 resources to compensatory or English as a Second Language classes, to the detriment of other students. Moreover, these schools may systematically be associated with faculties whose social and pedagogic practices within the classroom tend to make them more likely to view aggressive or non-normative behaviors by all students as sufficient grounds for labelling them and exacting penalties (Drame, 2002). Occupational Prestige The hazard of being assigned to special education classes is substantially lower in the least-prestigious areas of Denver, compared to places with above-average prestige (among which there is no variation), but this relationship disappears if the child has spent all of elementary school residing in DHA housing. From the perspective of schools, this finding suggests that low-income, minority children may appear to perform less-well by some relativistic indicators (e.g., grades) when they are initially exposed to a more competitive group of (higher-status) students, resulting in increased hazards for special education designation.30 The longer they persist in the same neighborhood and school, however, the better they apparently adapt to the new local culture and their performance improves to the point where they are indistinguishable from other students’. The academic and cultural learning that takes place in such higher-prestige contexts likely occurs jointly in school and residential spheres, abetted by peer interactions, greater parental involvement in schools that spills over to enhanced levels of cohesion with other 30 Analogous adaptation-to-school processes were observed in the Gautreaux and MTO program evaluations; see Briggs, Popkin and Goering (2010: 176) and Sanbonmatsu et al. (2011). Compounding this effect may be the oft-observed designation of minority students in predominantly white schools as mentally or emotionally retarded; see reviews in Oswald et al. (1999) and Ferri and Connor (2005). Such designations may be “objective” or based on prejudices of administrators in schools serving more prestigious neighborhoods. 33 neighborhood parents, and collective pro-educational norms in both (Casiano and Massey, 2012). It is in places with average levels of occupational prestige, however, that our Denver Child Study sample demonstrates the lowest hazard of suspension. We think that this is explicable by considering the interplay of countervailing factors: one related to the probability of children evincing disciplinary problems and the other related to the probability that school personnel will view a given breach of discipline as so egregious as to warrant suspension. Suspension hazards are highest in the lowest-prestige areas both because there are the greatest synergisms among peers generating many disciplinary problems and there is the least tolerance among teachers of such behaviors (Drame, 2002). Suspension hazards may also be elevated in the highest-prestige communities if the generic behaviors and modes of social interaction of the (relatively rare) low-income, minority students are labelled by school staff as deviant and heavily sanctioned (Briggs, Popkin and Goering, 2010: 176; Tajalli and Garba, 2014). Ethnic Composition The hazard for low-income, minority children being assigned to special education classes is lowest in places where the percentage of African American residents is highest, though this relationship weakens the older the child was when first occupying DHA housing and is only manifested for above-average ranges of this ethnic concentration. We think that this result can be explained primarily through the school aspect of context. Heavily African American neighborhoods translate into similarly composed elementary school student bodies, meaning that our Denver Child Study children will be less distinguishable physically, culturally and socioeconomically. This also likely means 34 a shift in school context and climate that reduces the hazard of class or cultural bias in assignment to special education, i.e., White teachers singling out the exceptional minority student and/or views about children’s behavior at school (Drame, 2002). Additionally, what may be at play here (and in the results regarding occupational prestige) is a change in students’ perceptions about themselves and their academic abilities relative to their student peers. As described in detail in Owens (2010), relative deprivation theory posits that minority students from lower SES backgrounds and neighborhoods are less likely to compare themselves and their abilities favorably with student peers from more advantaged backgrounds and neighborhoods. When lowincome, minority students attend schools in more advantaged, White neighborhoods, they metaphorically have become “small frogs in a big pond.” When this occurs, there is a heightened risk that these less advantaged students begin to feel incompetent as well as incapable of competing with their more advantaged and perceived higher ability peers. This sense of incompetence may dampen motivations and lead not only to lower academic expectations but actually to lower academic performance (see Espenshade, Hale and Chung, 2005). However, if these same students attend schools with peers from similar SES backgrounds and neighborhoods, they have the opportunity to become “big frogs in the small pond” of a less advantaged, primarily minority school. Although these schools may be under-resourced, attending such schools with similar-ability or lowerability peers has long been associated with higher academic performance (see for example, Davis, 1966; Owens, 2010) because of this “big frog” effect. 35 Implications for Urban Policy Our findings related to neighborhood occupational prestige and African American composition hold important implications for policies aimed at enhancing opportunity as well as socioeconomic mixing of neighborhoods and schools. On the one hand, if lowincome, minority students are able to claim their status as “big frogs” within their local neighborhood schools, we need to enhance opportunities to strengthen the “ponds” in which they learn. This may include working with students, parents and school personnel to redefine the normative expectations for academic performance for the entire student body and to change the local school and neighborhood climate to one that encourages academic excellence for all. In order for this to occur, however, these schools need to be equipped with the educational resources and personnel that will enable such schools and their student bodies to flourish and serves as the foundation for the bipartisan Strong Start for America’s Children Act (S. 1697/H.R. 3461) currently being deliberated in the U.S. Congress. On the other hand, if we continue to believe in expanding the educational options available to low-income, minority students through the promotion of social mixing in both schools and neighborhoods, we need to look at the ways in which we promote such mixing across different groups of students, classrooms and neighborhoods. While the extant evidence suggests the potential benefits of ethnic and socioeconomic diversity on children’s educational attainment (for recent reviews, see Michelson and Bottia, 2010; Kalenberg, 2012), merely physically changing the neighborhoods where low-income, minority children live and/or the schools they attend is insufficient to eliminate the deleterious effects associated with coming from less favorable neighborhood contexts. 36 Just as we need to consider carefully how we integrate low-income, minority families into the larger social fabric and networks operating in more advantaged neighborhoods when they move to new residential locations, social mixing at the school level must specifically address the processes whereby these students are integrated into their new classrooms and schools. How do schools actively incorporate and engage students in these new settings? How do schools encourage the involvement of their parents? Critical to successful integration is the recognition of all involved of the positive contributions that all children can make in enhancing their school environment. Caveats In closing, several shortcomings of our study should be acknowledged. The first is that, as noted above, we have no measures of school resources or environment. We do not think that this biases our results for contextual indicators (because virtually all children analyzed attend neighborhood schools), but unfortunately it inhibits the parsing of distinct influences from the residential neighborhood and school components of context. Second, we recognize that Denver may not be a generalizable location in which to study context effects, inasmuch as it has below-average levels of ethnic segregation and concentrated poverty (Iceland, Weinberg and Steinmetz, 2002; Jargowsky, 2013). Third, we have not investigated contextual impacts at the transitional point between childhood and adolescence, a period where Graber and Brooks-Gunn (1996) have claimed context has a stronger impact. Finally, we have not attempted to probe statistically the potential paths through which context may affect elementary school performance via exposure to violence, risky behaviors, nutrition, and health, which might 37 reveal more about underlying causal mechanisms. These latter shortcomings will be addressed in future work. CONCLUSION Researchers and policymakers have struggled with the daunting challenges of estimating the true causal impact of geographic context on elementary school performance. An innovative public housing program instituted by the Denver Housing Authority provides a unique opportunity to explore this issue because the DHA mimics a random assignment to a wide range of locations for families with children who apply for DHA housing. 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Max. 142.3 36.1 17.8 52.6 19.4 29.8 13.9 77.3 53.5 2.6 19.1 19.5 8.9 18.6 8.3 42.0 44.1 31.6 0.6 5.6 2.6 0.2 1.1 14.6 278.7 47.3 82.5 85.3 55.1 75.2 48.6 237.4 For Sample Households^^ Mean Std. Dev. Min. Max. 163.4 35.1 15.6 55.2 16.2 31.5 15.0 97.7 58.8 3.1 17.8 18.4 8.6 19.1 10.0 56.8 18.8 30.3 0.0 4.6 0.0 0.0 0.8 2.2 284.4 46.9 91.6 86.5 45.1 75.0 51.1 357.3 ^ Average measured during ages 6-11 (or from age 6 through age of outcome if occurred) for 410 children in Table 1 ^^ Measured for year of offer of first dwelling by DHA For Denver, 2000 Mean Std. Dev. 96.7 41.0 11.5 28.9 15.8 25.1 5.6 46.8 42.0 4.4 16.7 24.6 10.8 25.7 6.7 43.6 18 Table 2. Descriptive Statistics for Denver Child Study Children and their Households Mean Std. Dev. Outcomes During Elementary School 0.12 Placement in Special Education 7.84 Age When First Placed in Special Education 0.09 Repeated a Grade 8.42 Age When First Repeated a Grade 0.07 Suspended from School 9.42 Age When First Suspended Covariates Race/Ethnicity of Child (omitted=African American Male) 0.28 Latina Female 0.29 Latino Male 0.21 African American Female 0.25 Caregiver has Depressive Symptomatology^^^ 0.17 Caregiver is Immigrant 0.48 Caregiver has HS Diploma or Better^ 0.33 Proportion Residing with Two Parents^^ 6.91 Household Income (natural logarithm)^^ 1.26 Household Economic Stressor Scale^^ 1.28 Cumulative Number of Household Moves^ Max Min 0.33 1.69 0.29 1.95 0.25 1.30 0 6 0 6 0 6 1 11 1 11 1 11 0.45 0.45 0.41 0.43 0.37 0.50 0.41 4.24 1.14 1.17 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 10.75 5 7 N = 410 children in 246 families; source: Denver Child Study ^ At the time that outcome for focal child first occurred, or age 11 if never ^^ Average during ages 6-11 (or from age 6 through age of outcome if occurred) ^^^ At time of survey Table 3. First Stage OLS Regression Results for Generating Instruments Exogenous Predictors Social Vulnerability Covariates in Second Stage Coeff. Std. Error Race/Ethnicity of Child (omitted=African American Male) Latina Female 1.47 (6.33) Latino Male 0.32 (6.38) African American Female -6.68 (4.47) Caregiver has Depressive Symptomatology^^^ 7.92 (5.29) Caregiver is Immigrant -2.17 (7.07) Caregiver has HS Diploma or Better^ -3.93 (4.71) Proportion Residing with Two Parents^^ -5.31 (5.82) Natural Log of Household Income^^ -0.38 (0.57) Household Economic Stressor Scale^^ -2.27 (2.29) Cumulative # of Household Moves^ -1.35 (1.84) Timing of DHA First Offer offer1988 -1.85 (11.1) offer1989 -1.22 (12.8) offer1990 -3.73 (9.96) offer1991 0.044 (15.0) offer1992 -27.0* (11.7) offer1993 -10.6 (16.4) offer1994 2.18 (10.8) offer1995 -10.9 (9.69) offer1996 19.3 (12.0) offer1997 11.1 (11.4) offer1998 10.1 (11.6) offer1999 15.8 (12.3) offer2000 17.5 (11.3) offer2001-2003 24.5* (11.4) Neighborhood of DHA First Offer Social Vulnerability Index 0.37*** (0.065) Percent Foreign Born -0.31 (0.37) Percent African American -0.18 (0.13) Percent Dwellings Built Pre-1940 -0.12 (0.13) Occupational Prestige Score -0.56 (1.04) Property Crime Rate 0.052 (0.068) Violent Crime Rate 0.83* (0.33) Constant 100.7* (45.4) r-sq 0.37 Dependent Variables: Average Neighborhood Conditions During Elementary School % Foreign Born % African American % Dwellings Built Pre-1940 Occupational Prestige Property Crime Rate Violent Crime Rate Coeff. Std. Error Coeff. Std. Error Coeff. Std. Error Coeff. Std. Error Coeff. Std. Error Coeff. Std. Error 3.27** 3.32** 0.66 0.10 3.13** -0.63 -2.29* 0.10 0.82* -0.33 (1.02) (1.05) (0.85) (0.86) (1.09) (0.83) (0.89) (0.096) (0.38) (0.30) -11.7*** -12.4*** 0.96 -0.071 -1.47 1.87 -0.71 0.041 -0.18 -0.97 (2.27) (2.14) (1.86) (2.19) (1.74) (1.71) (1.66) (0.18) (0.86) (0.62) 0.37 1.50 2.76 -1.04 1.42 -4.00* -2.15 0.060 0.054 -0.46 (2.24) (2.31) (1.81) (2.03) (1.95) (1.85) (1.95) (0.19) (0.81) (0.62) -0.70* -0.73* 0.20 -0.46 0.022 -0.054 0.79** -0.012 0.10 0.094 (0.31) (0.32) (0.29) (0.24) (0.34) (0.26) (0.30) (0.030) (0.11) (0.092) -4.77 -1.53 -4.04 11.5* -7.93 -5.02 3.92 0.011 -2.76 -0.56 (5.45) (5.72) (4.30) (4.97) (5.77) (3.79) (4.76) (0.46) (1.95) (1.70) -2.16* -2.29* 0.28 1.70 -2.07* -0.67 1.31 -0.10 -0.041 -0.27 (1.03) (1.03) (0.90) (0.90) (0.90) (0.76) (1.01) (0.10) (0.32) (0.28) -2.26 0.77 2.49 -1.79 6.89** 9.78 1.95 1.30 2.89 2.68 2.09 1.02 7.23** 0.46 (1.62) (1.67) (1.59) (1.53) (2.43) (5.05) (1.68) (1.87) (2.25) (1.97) (1.86) (2.24) (2.45) (2.82) 4.91 -0.48 2.31 -1.66 -5.93 -4.00 -2.40 -2.46 -3.68 -4.44 -5.82 -4.05 -2.91 -1.07 (3.45) (4.42) (4.27) (4.33) (3.38) (5.00) (2.74) (3.49) (3.45) (2.77) (3.24) (3.24) (3.28) (3.78) 4.43 0.58 3.44 -1.40 1.89 11.7** 2.89 2.36 -2.91 0.56 -0.66 2.01 -2.47 0.052 (3.63) (4.81) (4.08) (4.54) (4.73) (3.95) (3.23) (3.61) (3.76) (3.89) (4.48) (4.63) (3.85) (4.98) -0.032 -0.66 -0.20 0.24 0.0032 -0.046 -0.14 0.057 -0.99 -0.69 -0.69 -0.60 -0.89 -1.77* (0.61) (0.56) (0.51) (0.72) (0.61) (0.76) (0.52) (0.46) (0.51) (0.53) (0.72) (0.61) (0.91) (0.75) -5.98 -3.73 -8.04 -4.57 -23.1 -19.2 -6.01 -7.59 9.77 -6.20 1.83 3.23 4.74 11.3 (9.25) (10.2) (9.11) (12.1) (12.9) (9.82) (9.53) (7.86) (11.8) (8.58) (8.39) (9.26) (10.7) (10.8) 1.45 1.30 0.65 -0.94 -3.37* -2.03 -0.74 -1.92 1.40 -0.87 0.093 0.54 0.13 3.86 (1.82) (1.90) (1.59) (1.85) (1.65) (1.89) (1.51) (1.55) (1.74) (1.56) (1.93) (1.66) (1.66) (2.82) -0.0084 0.54*** -0.0028 0.0064 -0.23 -0.0028 0.086 15.0* 0.40 (0.011) (0.088) (0.023) (0.023) (0.17) (0.0098) (0.049) (7.25) 0.037 0.043 0.60*** -0.043 0.60 -0.011 -0.15 -6.23 0.52 (0.028) (0.11) (0.050) (0.049) (0.48) (0.025) (0.15) (18.8) 0.053* 0.13 0.0064 0.50*** 0.63 -0.047* 0.16 -17.2 0.37 (0.027) (0.13) (0.047) (0.056) (0.54) (0.023) (0.12) (21.6) -0.0023 0.018 0.0037 0.016* 0.44*** 0.0013 -0.030 20.9*** 0.33 (0.0038) (0.022) (0.0082) (0.0066) (0.072) (0.0036) (0.016) (2.94) -0.094 -0.32 -0.10 -0.081 0.14 0.43*** 0.66* 54.0 0.38 (0.057) (0.29) (0.14) (0.12) (0.85) (0.060) (0.29) (34.6) -0.0035 -0.0040 -0.030 0.025 0.10 0.023* 0.39*** 4.10 0.42 (0.010) (0.051) (0.020) (0.024) (0.21) (0.010) (0.063) (8.41) Clustered standard errors in parentheses; * p<.05; ** p<.01; *** p<.001 ^ At the time that outcome (in this case, special education) for focal child first occurred, or age 11 if never ^^ Average during ages 6-11 (or from age 6 through age of outcome if occurred) ^^^ At time of survey 1 Table 4. Cox Proportional Hazard IV Models of Elementary School Outcomes Special Education Std. Hazard Covariates Coeff. Error Ratio Race/Ethnicity of Child (omitted=African American Male) Latina Female -0.75 (0.65) 0.472 Latino Male -0.69 (0.66) 0.502 African American Female -0.93 (0.61) 0.395 Caregiver has Depressive Symptomatology^^^ 0.41 (0.34) 1.507 Caregiver is Immigrant -0.76 (0.56) 0.468 Caregiver has HS Diploma or Better^ 0.36 (0.39) 1.433 Proportion Residing with Two Parents^^ -0.12 (0.18) 0.887 Natural Log of Household Income^^ -0.42** (0.14) 0.657 Household Economic Stressor Scale^^ 0.40 (0.21) 1.492 Cumulative # of Household Moves^ 0.37** (0.12) 1.448 Neighborhood Characteristics (IVs) Social Vulnerability Index 0.44 (0.33) 1.553 Occupational Prestige Score 0.41* (0.20) 1.507 Percent African American -1.21* (0.47) 0.298 Percent Foreign Born 0.16 (0.17) 1.174 Percent Dwellings Built Pre-1940 -0.16 (0.26) 0.852 Violent Crime Rate -0.41 (0.52) 0.664 Property Crime Rate 0.22 (0.39) 1.246 Observations 409 N_family clusters 245 Chi-sq [coeffs. of all vars.=0] 78.5*** Chi-sq [coeffs. of neigh'd. vars.=0] 16.3* log pseudolikelihood -116.7 Repeated a Grade Suspended from School Std. Hazard Std. Hazard Coeff. Error Ratio Coeff. Error Ratio -0.27 (1.11) -0.41 (1.13) 0.26 (0.60) -0.039 (0.47) -1.12 (0.67) 0.81 (0.44) -0.040 (0.23) -0.72*** (0.19) -0.18 (0.27) 0.40* (0.16) 0.763 0.664 1.297 0.962 0.326 2.248 0.961 0.487 0.835 1.492 -3.83** -1.57 -0.47 0.75 -0.35 0.90 0.48 -0.31 0.73** 0.82*** (1.44) (1.09) (0.42) (0.41) (0.76) (0.60) (0.32) (0.20) (0.27) (0.16) 0.022 0.208 0.625 2.117 0.705 2.460 1.616 0.733 2.075 2.270 -0.65 0.057 -0.59 0.61* -0.16 0.27 0.39 402 241 56.8*** 12.9 -193.8 0.522 1.059 0.554 1.840 0.852 1.310 1.477 0.77 0.11 -0.19 1.01** 0.89 -1.07 0.85 410 246 80.4*** 19.4** -66.4 (0.41) (0.58) (0.49) (0.34) (0.53) (0.62) (0.57) 2.160 1.116 0.827 2.746 2.435 0.343 2.340 (0.51) (0.38) (0.55) (0.27) (0.27) (0.40) (0.40) Clustered standard errors in parentheses; * p<.05; ** p<.01; *** p<.001 ^ At the time that outcome (in this case, special education) for focal child 1st occurred, or age 11 if never ^^ Average during ages 6-11 (or from age 6 through age of outcome if occurred) ^^^ At time of survey 2 Appendix Table 1. Pearsonian Correlations among Indicators of Geographic Context 1. Social Vulnerability Index 2. Percentage of Foreign Born Residents 3. Percentage of African American Residents 4. Percentage of Latino Residents 5. Percentage of Dwellings Built Pre-1940 6. Occupational Prestige Score 7. Property Crime Rate (per 1,000 population) 8. Violent Crime Rate (per 1,000 population) 1 2 3 1 -0.2500* 0.1629* 0.2104* -0.0552 -0.5008* 0.7850* 0.8880* 1 -0.0331 0.7034* 0.1135 -0.3820* -0.2670* -0.0629 1 -0.2872* -0.0549 -0.1455 0.0960 0.1637* 4 5 6 7 1 0.0193 1 -0.6593* 0.3587* 1 0.1037 0.0497 -0.2146* 1 0.3328* -0.0318 -0.5310* 0.7054* * p <.05 ^ Measured at year of dropping out, or at age 18 if never (or time of survey if < 18 then) 8 1 3 APPENDIX A. INVESTIGATING QUASI-RANDOM ASSIGNMENT IN OUR DHA NATURAL EXPERIMENT Introduction Although often advocated (e.g., Oakes 2004), some question whether natural experiments can be leveraged to draw convincing implications about causal neighborhood effects. The main reservation from doing so has been the lack of assurance that they in fact produce a quasi-random assignment of households, and thus convincingly avoid geographic selection bias. This appendix uses our natural experiment involving public housing in Denver and investigates whether it convincingly produced an essentially random allocation of households across neighborhoods. Methods of Analyzing Randomness of Initial Assignment A few investigations of neighborhood effects employing natural experiments have probed the degree to which quasi-random assignment was achieved. Three methods have been employed. First, the allocation processes employed in the natural experiments are described in detail in an effort to uncover points at which non-random selections could occur (e.g., Oreopoulos, 2003; Edin, Fredricksson and Åslund, 2003; Jacob, 2004; Lyle, 2007; Piil Damm, 2009; 2014). Second, the sample of individuals analyzed is divided across two or more locations and their mean characteristics are compared statistically. Third, regression is used to assess whether there are any nonzero realtionships between individual characteristics and neighborhood characteristics. We employ all three strategies here and present a fourth, original approach involving Monte Carlo simulation. Possibilities for Tenant Self-Selections and Staff Selections in the Denver HousingAuthority Allocation Process First, we explore the possibility of selection arising because the tenant can potentially choose between two DHA units that may be located in quite different neighborhoods. Our independent evaluation of DHA records showed that: 69.5 percent accepted their first offer from DHA, 18.8% accepted their second offer; 7.9 percent ended up rejecting both offers and taking a third offer later (after returning to the bottom of the wait list); 3.8 percent rejected three or more offers before being placed. Perhaps more revealing than acceptance rates is probing whether applicants ended up in neighborhoods they would have selected on their own. Before their initial assignment to a DHA dwelling, clients were asked by DHA whether they had any geographic location preferences. DHA administrative data show that 42.5 percent of the clients in our sample did not articulate any locational preference, approximately one-third expressed general geographical areas (i.e., Southwest Denver) while the remaining 23.5 percent provided responses that ranged from specific addresses to specific DHA developments (i.e., North Lincoln Campus of Learners). In order to assess whether those who stated a preference were assigned to a housing unit in their specified area, a number of different approaches were taken. For those who specified a particular address, we checked to see if that address was the DHA unit to which the client was initially assigned. For those who specified a preference for a particular DHA development, we used the unit number reported by DHA (which has an abbreviation of the development embedded in it) to assess whether the initial DHA unit was located within that development. For those who 4 specified a preference for a particular neighborhood, we relied on our survey data to determine whether the original DHA unit was in the specified neighborhood. Lastly, initially assigned DHA units were mapped to identify where within the Denver metropolitan area they were located for those who specified a preference for a particular part of the metro area. Once these assessments were made, we were able to calculate frequencies and percentages for those who specified a geographic preference and got it (N=190; 25.8 percent) and those who specified a geographic preference but didn’t get a housing unit that met that preference (N=233; 31.7 percent). If the vast majority of households in our sample had a strong geographic preference and were granted this preference by the DHA assignment process, one would challenge the process as one producing a quasi-random assignment. However, our analyses indicate to the contrary that the vast majority of the respondents to our survey (74.2 percent) were either instances where there was no geographic preference articulated, or where the client’s stated preference was not honored. Since we are unable to ascertain the geographic location of all potential DHA unit vacancies that arose during the times that each client was assigned to their initial unit, we are unable to perform any formal statistical tests to determine whether the frequencies we obtained for those who were assigned their expressed preference were any different than what would be expected by chance. A second potential source of selection can arise from the actions of the DHA staff. If staff have multiple vacancies to consider at one time they may make dwelling offers on the basis of observable characteristics of the applicants at the top of the waiting list. Though our interviews with DHA staff uncovered no suggestions that this occurred, we nevertheless must acknowledge this possibility. In sum, a close examination of the DHA dwelling allocation process leaves substantial room for selection. A non-trivial share of DHA applicants did not accept their first offer from DHA (30.5 percent) and ended up in a neighborhood they said they preferred (26 percent). It may also be possible that DHA staff practiced some selection in their dwelling offers, though we have no direct evidence of this. Comparisons of Individual Characteristics Across Space A second way we test the randomness of the DHA assignment process is by ascertaining the degree to which there are any systematic patterns of where individuals with particular characteristics end up residing in their first DHA units. In other words, we investigate whether certain types of households end up disproportionately allocated to particular places, whether it be due to DHA practices and/or to choices made by applicants regarding, for instance, refusing first options. We parse space in two ways: across DHA housing developments and by census tracts. In both variants we examine a wide range of individual characteristics—26 variables in all—measuring attributes that are typically gathered in surveys used in neighborhood effects research and many others that are not (but we have acquired through our aforementioned survey). These individual characteristics are listed in columns of Exhibit A-1.31 Our method involves regressing each individual characteristic on a series of dummy variables. In one variant these dummies signify different DHA developments; in the 31 Note that in our study we consider only Latino and African American residents of DHA, thus we measure only African American ethnic status, with Latino ethnicity being the reference group. 5 other they signify census tracts.32 We stratify these regressions by family size (zero or one child; two children; three or more children) because there is a distinct geographic pattern in Denver of where public housing units of various bedroom configurations are located. Our test of quasi-random assignment is whether the place-based dummy variables denoting where DHA households were originally placed are significantly different from zero.33 If they are, we reject the null hypothesis of random assignment of applicants to DHA dwellings. 32 The scattered-site DHA developments are not identified in their allocation process by individual address but rather by broader geographic area encompassing several census tracts (though we are aware of the tract of each development). This produces the seemingly anomalous situation shown in Exhibits A-1 and A-2 where apparently many more tracts are represented than “developments.” 33 Here the number of children in the household refers to the number of eligible children for our study and not the total number of all children in the household. So, it is possible for households with 0-1 eligible children to have other siblings with the same father. Exhibit A-1A. Relationships Between DHA Resident Characteristics and DHA Developments: Households with 0-1 Child P/C is single parent (1=yes, 0=no) P/C employment P/C received TANF P/C receiving Food P/C had checking P/C had health status at time of P/C disability status at P/C hourly wage at at time of DHA Stamps at time of account at time of insurance at time of DHA move-in time of survey (1=yes; time of DHA move-in move-in (1=yes, DHA move-in (1=yes, DHA move-in (1=yes, DHA move-in (1=employed, 0=not 0=no) 0=no) 0=no) 0=no) (1=yes, 0=no) employed) Coeff. -0.111 -0.500 -0.100 -7.78e-16 -1.03e-15 -0.240 -0.278 -0.167 -0.111 -3.08e-16 -7.88e-16 -0.333 -0.227 -0.154 -9.83e-16 -1.000 -0.200 -0.355 -0.250 -0.316 Coeff. -1.133 -0.300 -0.200 0.200 -0.133 -1.080 -0.106 -0.467 -0.522 -0.800 -0.800 -0.467 -0.300 -1.031 -0.300 -0.800 -0.400 -0.284 -0.250 -0.116 DHA Development Arrowhead Townhouses Columbine Homes Curtis Park Home FHA Repossessed East Goldsmith Village South Lincoln North Lincoln COL Quigg Newton Homes Sun Valley Annex Pacific Place T Bean Tower (Elderly & Disabled) Platte Valley Homes Westridge Homes Westwood Homes Stapleton Homes Thomas Connole (Elderly & Dis.) East Village Combined Devel-Disp Housing S. Combined Devel-Disp Housing E. Combined Devel-Disp Housing W. Observations F-Test p value Pseudo R ² Note: P/C = Parent or Caregiver; reference group = Arapaho Cts. bold = p <.05 261 0.898 0.590 0.0696 P value 0.638 0.052 0.667 1.000 1.000 0.248 0.170 0.416 0.604 1.000 1.000 0.282 0.280 0.490 1.000 0.032 0.456 0.083 0.239 0.139 261 0.917 0.566 0.0710 P value 0.113 0.698 0.775 0.886 0.886 0.086 0.863 0.450 0.419 0.568 0.568 0.617 0.636 0.126 0.779 0.568 0.621 0.645 0.696 0.857 Coeff. -2.653 -4.701 -2.984 6.466 -0.251 -6.033 -0.594 -8.084 -10.08 -13.78 -13.78 -7.451 -5.520 -6.469 -6.284 -13.78 -7.034 -4.886 -2.848 -1.142 261 1.491 0.0850 0.111 P value 0.607 0.402 0.556 0.524 0.970 0.184 0.893 0.071 0.032 0.175 0.175 0.271 0.229 0.185 0.417 0.175 0.230 0.274 0.538 0.806 Coeff. -0.0889 -0.200 -8.31e-15 -0.200 -0.200 -8.12e-15 -0.117 -0.133 -0.0889 -0.200 -0.200 -0.200 -0.0182 0.108 -0.200 0.800 0.600 -0.103 0.1000 -0.0421 261 1.842 0.0175 0.133 P value 0.652 0.351 1.000 0.606 0.439 1.000 0.490 0.435 0.619 0.606 0.606 0.439 0.917 0.563 0.499 0.040 0.008 0.545 0.572 0.813 Coeff. -1.156 -0.267 0.1000 -0.600 -0.267 -1.000 -0.294 -0.333 -0.156 -0.600 -0.600 0.400 -0.191 -0.369 -0.100 -0.600 -0.600 -0.342 -0.350 -0.337 261 0.930 0.550 0.0719 P value 0.062 0.691 0.869 0.621 0.741 0.066 0.577 0.533 0.781 0.621 0.621 0.621 0.728 0.526 0.914 0.621 0.391 0.521 0.527 0.545 Coeff. -1.044 -0.267 0.200 -0.600 0.0667 -0.760 -0.0167 0.0333 0.0111 -0.600 -0.600 0.400 0.0364 -0.754 0.400 0.400 -0.400 0.0129 -0.150 -0.0737 261 0.891 0.599 0.0691 P value 0.146 0.732 0.776 0.670 0.943 0.228 0.978 0.957 0.986 0.670 0.670 0.670 0.954 0.265 0.710 0.776 0.622 0.983 0.815 0.909 Coeff. -0.956 0.1000 -7.11e-15 -0.400 0.600 -0.880 0.1000 -0.0667 -0.289 -0.400 -0.400 -0.400 -0.127 -0.862 -0.400 -0.400 0.200 -0.271 0.200 0.232 261 0.985 0.481 0.0759 P value 0.215 0.905 1.000 0.791 0.552 0.194 0.879 0.920 0.679 0.791 0.791 0.692 0.852 0.236 0.729 0.791 0.819 0.684 0.772 0.739 Coeff. -0.911 -0.133 -9.46e-15 0.200 -0.467 -0.640 -0.0778 -0.133 -0.189 -0.800 -0.800 -0.133 0.0182 -0.646 0.200 0.200 -0.200 -0.0581 0.0500 -0.116 261 0.531 0.952 0.0424 P value 0.209 0.865 1.000 0.888 0.623 0.315 0.900 0.832 0.774 0.574 0.574 0.888 0.977 0.345 0.854 0.888 0.808 0.926 0.939 0.859 Exhibit A-1A. Relationships Between DHA Resident Characteristics and DHA Developments: Households with 0-1 Child (continued) P/C had too little P/C had difficulty money for food at paying all bills at time of DHA move- time of DHA movein (1=yes, 0=no) in (1=yes, 0=no) Frequency that P/C drank alcohol since becoming a parent Frequency that P/C smoked marijuana since becoming a parent Number of years Number of years P/C ever seen a during childhood that during childhood that psychiatrist (1=yes, P/C lived in public P/C lived in a home 0=no) housing owned by parents P/C born in the United States (1=yes; 0=no) Spanish language interview (1=yes; 0=no) DHA Development Arrowhead Townhouses Columbine Homes Curtis Park Home FHA Repossessed East Goldsmith Village South Lincoln North Lincoln COL Quigg Newton Homes Sun Valley Annex Pacific Place T Bean Tower (Elderly & Disabled) Platte Valley Homes Westridge Homes Westwood Homes Stapleton Homes Thomas Connole (Elderly & Dis.) East Village Combined Devel-Disp Housing S. Combined Devel-Disp Housing E. Combined Devel-Disp Housing W. Observations F-Test p value Pseudo R ² Note: P/C = Parent or Caregiver; reference group = Arapaho Cts. bold = p <.05 Coeff. -0.756 0.133 0.400 0.800 0.467 -0.720 -0.0889 0.0333 0.0778 -0.200 -0.200 0.133 0.164 -0.508 0.300 -0.200 0.200 0.0903 -1.55e-15 0.274 261 0.713 0.812 0.0561 P value 0.327 0.873 0.597 0.597 0.644 0.288 0.893 0.960 0.911 0.895 0.895 0.895 0.811 0.485 0.795 0.895 0.819 0.892 1.000 0.693 Coeff. -1.378 -0.267 -1.200 -0.600 -0.267 -0.960 -0.267 -0.133 -0.656 -0.600 -0.600 -0.267 -0.100 -0.908 -0.600 0.400 -0.600 -0.213 -0.250 -0.547 261 0.676 0.848 0.0534 P value 0.128 0.786 0.177 0.735 0.821 0.227 0.730 0.865 0.423 0.735 0.735 0.821 0.901 0.287 0.658 0.821 0.558 0.785 0.757 0.501 Coeff. 0.533 0.0333 -0.300 5.200 -3.467 -0.200 -0.189 -0.333 -0.356 1.200 0.200 1.867 -0.527 0.200 1.700 -0.800 0.400 0.0387 -0.350 0.0421 261 1.117 0.333 0.0851 P value 0.649 0.979 0.794 0.025 0.025 0.846 0.851 0.743 0.738 0.602 0.931 0.224 0.613 0.856 0.334 0.728 0.763 0.970 0.739 0.968 Coeff. 0.889 0.667 0.200 -7.48e-15 0.333 0.280 0.194 -0.300 0.111 1.000 1.000 -5.18e-15 -0.0455 0.769 -6.33e-15 -6.35e-15 0.600 0.194 1.000 0.421 261 0.573 0.929 0.0456 P value 0.356 0.524 0.832 1.000 0.791 0.741 0.813 0.719 0.899 0.597 0.597 1.000 0.958 0.397 1.000 1.000 0.583 0.816 0.247 0.627 Coeff. 0.356 0.300 0.400 -0.200 0.467 8.05e-15 0.0778 0.267 0.0222 -0.200 0.800 0.467 0.209 0.108 -0.200 -0.200 0.200 -0.00645 0.150 0.168 261 1.169 0.283 0.0888 P value 0.177 0.294 0.122 0.698 0.176 1.000 0.729 0.242 0.926 0.698 0.122 0.176 0.371 0.664 0.612 0.698 0.502 0.977 0.524 0.477 Coeff. -0.689 10.37 -0.500 -5.800 -5.800 1.120 -1.244 -0.200 4.700 -5.800 -5.800 3.200 0.336 -2.492 -0.300 -5.800 -2.000 0.458 -3.200 -3.905 261 1.315 0.170 0.0987 P value 0.887 0.050 0.916 0.543 0.362 0.793 0.764 0.962 0.286 0.543 0.543 0.615 0.938 0.586 0.967 0.543 0.716 0.913 0.462 0.372 Coeff. -6.889 -20.00 -9.300 7.000 -4.667 -14.96 -7.139 -9.900 -8.611 -20.00 -8.000 -7.000 -9.864 -6.077 4.500 7.000 -10.40 -5.968 -6.050 -7.053 261 1.436 0.106 0.107 P value 0.287 0.005 0.144 0.581 0.581 0.009 0.197 0.078 0.142 0.116 0.528 0.408 0.087 0.319 0.642 0.581 0.157 0.286 0.297 0.226 Coeff. 0.0889 0.200 0.100 0.200 -0.133 0.120 0.0889 0.133 0.144 0.200 0.200 0.200 0.109 0.0462 0.200 -0.800 -0.200 0.135 0.100 0.200 261 1.179 0.273 0.0895 P value 0.580 0.252 0.526 0.526 0.526 0.395 0.518 0.338 0.321 0.526 0.526 0.342 0.445 0.761 0.407 0.012 0.273 0.329 0.487 0.168 Coeff. 1.58e-15 1.84e-15 0.100 1.51e-15 1.75e-15 0.0800 0.0278 0.0667 1.56e-15 1.37e-15 1.51e-15 1.49e-15 0.0909 1.56e-15 1.47e-15 1.47e-15 0.200 1.25e-15 0.0500 0.0526 261 0.525 0.954 0.0419 P value 1.000 1.000 0.374 1.000 1.000 0.427 0.777 0.502 1.000 1.000 1.000 1.000 0.372 1.000 1.000 1.000 0.124 1.000 0.626 0.610 Exhibit A-1A. Relationships Between DHA Resident Characteristics and DHA Developments: Households with 0-1 Child (continued) Biological father always lived in household with child(ren) (1=yes; 0=no) Parent have HS Parent have any Parent's age at time P/C African American diploma at time of higher education at of DHA move-in (1=yes; 0=no) DHA move-in (1=yes; time of DHA move0=no) in (1=yes; 0=no) Kids share same biological dad (1=yes; 0=no) Parent Depressive Symptomatology Scale at time of interview Parenting Efficacy Scale at time of interview Parenting Beliefs Scale at time of interview DHA Development Arrowhead Townhouses Columbine Homes Curtis Park Home FHA Repossessed East Goldsmith Village South Lincoln North Lincoln COL Quigg Newton Homes Sun Valley Annex Pacific Place T Bean Tower (Elderly & Disabled) Platte Valley Homes Westridge Homes Westwood Homes Stapleton Homes Thomas Connole (Elderly & Dis.) East Village Combined Devel-Disp Housing S. Combined Devel-Disp Housing E. Combined Devel-Disp Housing W. Observations F-Test p value Pseudo R ² Note: P/C = Parent or Caregiver; reference group = Arapaho Cts. bold = p <.05 Coeff. -0.0889 0.133 -0.100 -0.200 -0.200 0.0800 -0.0611 -0.167 -0.0889 -0.200 -0.200 -0.200 -0.109 -0.0462 -0.200 -0.200 -3.54e-15 -0.0387 -3.49e-15 0.0105 261 0.619 0.897 0.0491 P value 0.657 0.540 0.611 0.611 0.446 0.649 0.721 0.337 0.624 0.611 0.611 0.446 0.540 0.807 0.506 0.611 1.000 0.823 1.000 0.953 Coeff. 5.756 6.200 0.900 11.20 11.87 5.680 4.561 4.300 0.311 30.20 17.20 12.20 3.609 8.123 5.200 29.20 15.00 1.910 7.850 9.095 261 1.677 0.0378 0.123 P value 0.338 0.342 0.879 0.343 0.132 0.282 0.375 0.408 0.954 0.011 0.145 0.122 0.499 0.152 0.564 0.014 0.028 0.713 0.146 0.094 Coeff. 0.289 -0.433 0.100 -0.600 0.0667 -0.240 -0.0722 -0.267 -0.156 0.400 0.400 0.400 -0.327 -0.138 0.400 -0.600 3.03e-15 -0.342 0.250 -0.337 261 2.800 0.000108 0.189 P value 0.269 0.127 0.697 0.243 0.845 0.296 0.747 0.239 0.511 0.436 0.436 0.243 0.159 0.574 0.308 0.243 1.000 0.131 0.286 0.153 Coeff. 0.133 -0.0333 0.100 -0.200 -0.200 0.360 0.217 0.233 0.0778 -0.200 0.800 -0.200 0.0727 -0.123 0.800 -0.200 6.26e-15 0.123 0.100 0.116 261 1.260 0.207 0.0950 P value 0.611 0.907 0.697 0.697 0.560 0.118 0.334 0.304 0.743 0.697 0.121 0.560 0.755 0.618 0.043 0.697 1.000 0.588 0.670 0.624 Coeff. -0.200 -0.200 -0.100 -0.200 0.133 -0.120 -0.0889 -0.167 -0.144 -0.200 -0.200 0.133 -0.0182 0.185 -0.200 -0.200 -4.03e-15 -0.135 0.0500 -0.0947 261 1.165 0.286 0.0885 P value 0.267 0.306 0.571 0.571 0.571 0.448 0.564 0.285 0.376 0.571 0.571 0.571 0.909 0.277 0.459 0.571 1.000 0.384 0.756 0.559 Coeff. -0.0444 0.0667 -0.300 0.400 0.0667 0.0800 0.178 0.133 -0.0444 0.400 0.400 0.0667 0.0364 0.0154 0.400 0.400 0.200 0.110 0.150 0.189 261 0.787 0.729 0.0615 P value 0.865 0.814 0.242 0.435 0.845 0.727 0.426 0.555 0.851 0.435 0.435 0.845 0.875 0.950 0.307 0.435 0.499 0.627 0.522 0.421 Coeff. -0.0667 -6.233 5.100 -8.400 -3.400 1.600 -1.844 2.033 -1.067 8.600 8.600 3.933 -1.309 -0.785 -6.900 10.60 6.400 -1.787 -2.850 -1.453 261 0.955 0.518 0.0737 P value 0.990 0.295 0.343 0.435 0.635 0.739 0.694 0.668 0.830 0.424 0.424 0.583 0.788 0.879 0.401 0.325 0.303 0.706 0.562 0.768 Coeff. -0.0889 0.467 -0.300 -4.200 0.467 -1.040 -1.256 -1.667 -1.811 -3.200 1.800 -2.200 -1.291 0.0308 1.800 -11.20 -3.600 -1.232 -2.150 -1.095 261 1.209 0.247 0.0915 P value 0.962 0.819 0.871 0.257 0.850 0.530 0.436 0.307 0.289 0.387 0.627 0.373 0.441 0.986 0.524 0.003 0.093 0.449 0.204 0.519 Coeff. -1.911 0.367 -1.100 3.200 -3.133 -0.920 -0.828 -1.400 -0.578 -0.800 2.200 0.533 0.473 -0.415 0.700 -7.800 -2.600 -0.574 -1.750 -0.221 261 0.865 0.632 0.0672 P value 0.332 0.864 0.570 0.409 0.225 0.595 0.623 0.412 0.746 0.836 0.570 0.836 0.787 0.823 0.813 0.045 0.245 0.736 0.322 0.901 Exhibit A-1B. Relationships Between DHA Resident Characteristics and DHA Developments: Households with 2 Children P/C is single parent (1=yes, 0=no) P/C employment P/C receiving status at time of DHA P/C disability status at P/C received TANF at P/C hourly wage at Food Stamps at move-in time of survey (1=yes; time of DHA move-in time of DHA move-in time of DHA move(1=employed, 0=not 0=no) (1=yes, 0=no) in (1=yes, 0=no) employed) P/C had checking account at time of DHA move-in (1=yes, 0=no) P/C had health insurance at time of DHA move-in (1=yes, 0=no) DHA Development Arrowhead Townhouses Columbine Homes Curtis Park Homes FHA Repossessed East Goldsmith Village South Lincoln North Lincoln COL 220 Quigg Newton Homes Sun Valley Annex Pacific Place Platte Valley Homes Westridge Homes Westwood Homes Stapleton Homes East Village Combined Devel-Disp Hsing S. Combined Devel-Disp Hsing E. Combined Devel-Disp Hsing W. Observations F-Test p value Pseudo R ² Note: P/C = Parent or Caregiver; reference group = Arapaho Cts. bold = p <.05 Coeff. 0.333 0.333 0.0476 0.333 0.333 0.175 -0.0370 0.333 0.222 0.0833 0.333 -3.83e-15 0.0333 0.0333 0.333 0.333 0.0769 0.194 0.121 244 0.699 0.818 0.0560 P value 0.383 0.298 0.858 0.491 0.491 0.500 0.884 0.491 0.395 0.758 0.298 1.000 0.904 0.904 0.383 0.383 0.759 0.440 0.631 Coeff. 0.667 0.417 -0.476 0.667 -0.333 -0.386 0.444 -0.333 0.111 0.333 -1.833 1.16e-14 -0.133 0.167 -4.333 0.667 0.0256 0.500 0.212 244 2.087 0.00616 0.150 P value 0.600 0.695 0.591 0.678 0.836 0.655 0.600 0.836 0.898 0.710 0.085 1.000 0.884 0.856 0.001 0.600 0.975 0.550 0.800 Coeff. 9.167 4.542 0.792 17.17 -7.333 0.227 8.220 -7.333 0.146 3.164 5.042 -2.233 -3.933 0.552 -0.583 8.167 3.107 8.579 1.736 244 2.329 0.00184 0.165 P value 0.266 0.509 0.890 0.100 0.481 0.968 0.135 0.481 0.979 0.586 0.464 0.726 0.507 0.926 0.943 0.321 0.565 0.114 0.749 Coeff. 3.61e-15 0.500 0.143 4.17e-15 4.18e-15 0.0526 0.0741 4.58e-15 0.167 4.70e-15 4.33e-15 0.500 0.100 0.100 0.500 4.62e-15 0.128 0.139 0.0909 244 1.193 0.265 0.0919 P value 1.000 0.043 0.486 1.000 1.000 0.793 0.706 1.000 0.407 1.000 1.000 0.029 0.637 0.637 0.090 1.000 0.507 0.473 0.640 Coeff. 0.167 0.417 -0.476 -0.333 -0.333 0.140 0.0370 -0.333 0.167 0.250 0.167 -1.333 0.267 0.367 0.667 -0.333 -0.282 -2.55e-16 -0.0606 244 0.899 0.584 0.0709 P value 0.874 0.637 0.517 0.803 0.803 0.845 0.958 0.803 0.817 0.737 0.850 0.104 0.726 0.630 0.527 0.752 0.684 1.000 0.931 Coeff. 0.167 0.417 0.452 -0.333 -0.333 0.404 0.333 -0.333 0.333 0.417 0.417 0.500 0.267 0.467 0.167 -0.333 -0.128 0.0556 0.242 244 0.578 0.920 0.0467 P value 0.857 0.590 0.483 0.776 0.776 0.522 0.589 0.776 0.598 0.524 0.590 0.485 0.689 0.484 0.857 0.718 0.833 0.927 0.691 Coeff. 0.500 2.73e-14 -0.286 1.000 2.82e-14 -0.158 0.630 2.87e-14 0.222 0.333 -2.000 0.167 0.300 0.200 -4.500 0.500 0.154 0.556 0.333 244 2.352 0.00164 0.166 P value 0.685 1.000 0.739 0.521 1.000 0.851 0.443 1.000 0.792 0.702 0.053 0.861 0.736 0.822 0.000 0.685 0.849 0.493 0.682 Coeff. 2.46e-14 -0.250 -0.714 2.38e-14 2.38e-14 -0.842 -0.333 -1.000 -0.278 -0.333 -2.500 -0.500 -0.400 -0.1000 -5.000 -0.500 -0.410 -0.278 -0.242 244 1.840 0.0200 0.135 P value 1.000 0.816 0.425 1.000 1.000 0.335 0.697 0.538 0.751 0.713 0.021 0.615 0.666 0.914 0.000 0.697 0.626 0.742 0.775 Exhibit A-1B. Relationships Between DHA Resident Characteristics and DHA Developments: Households with 2 Children (continued) P/C had too little P/C had difficulty Frequency that P/C money for food at paying all bills at time drank alcohol since time of DHA move-in of DHA move-in becoming a parent (1=yes, 0=no) (1=yes, 0=no) Frequency that P/C smoked marijuana since becoming a parent P/C ever seen a psychiatrist (1=yes, 0=no) Number of years during childhood that P/C lived in public housing Number of years during childhood that P/C lived in a home owned by parents P/C born in the United States (1=yes; 0=no) Spanish language interview (1=yes; 0=no) DHA Development Arrowhead Townhouses Columbine Homes Curtis Park Homes FHA Repossessed East Goldsmith Village South Lincoln North Lincoln COL 220 Quigg Newton Homes Sun Valley Annex Pacific Place Platte Valley Homes Westridge Homes Westwood Homes Stapleton Homes East Village Combined Devel-Disp Hsing S. Combined Devel-Disp Hsing E. Combined Devel-Disp Hsing W. Observations F-Test p value Pseudo R ² Note: P/C = Parent or Caregiver; reference group = Arapaho Cts. bold = p <.05 Coeff. -0.167 -0.667 -1.024 0.333 -0.667 -0.772 -0.259 0.333 -0.556 -0.333 -2.417 -0.333 -0.0667 -0.567 -5.167 -0.167 -0.436 -0.194 -0.303 244 2.138 0.00481 0.153 P value 0.893 0.521 0.237 0.832 0.671 0.361 0.754 0.832 0.512 0.704 0.021 0.729 0.941 0.527 0.000 0.893 0.593 0.812 0.712 Coeff. 3.167 2.667 2.381 2.667 2.667 2.246 2.815 3.667 1.833 3.083 0.917 2.833 3.267 2.767 -1.833 2.667 2.974 3.167 2.879 244 1.514 0.0821 0.114 P value 0.082 0.080 0.061 0.246 0.246 0.070 0.021 0.111 0.140 0.017 0.546 0.045 0.013 0.035 0.312 0.142 0.013 0.008 0.017 Coeff. -0.500 1.000 0.571 -1.000 -7.26e-14 -0.474 -0.481 -1.000 -0.722 -0.667 0.750 -0.833 -1.000 -1.500 0.500 -1.000 -1.051 -0.528 -1.061 244 0.447 0.979 0.0365 P value 0.846 0.642 0.749 0.758 1.000 0.786 0.778 0.758 0.680 0.713 0.727 0.675 0.589 0.418 0.846 0.697 0.533 0.755 0.532 Coeff. -0.500 2.500 0.429 5.000 -1.82e-15 -0.842 -0.778 -1.000 -0.667 -0.667 -0.750 0.333 -1.100 -0.400 -0.500 -0.500 -0.564 -0.778 -0.394 244 1.044 0.411 0.0814 P value 0.804 0.138 0.760 0.050 1.000 0.539 0.562 0.694 0.628 0.639 0.656 0.831 0.448 0.783 0.804 0.804 0.669 0.557 0.767 Coeff. 0.167 0.667 0.0238 0.667 0.667 0.0351 0.222 -0.333 0.222 -0.167 -0.0833 -4.96e-15 0.0667 0.0667 0.167 -0.333 0.0513 0.222 -0.0303 244 1.226 0.238 0.0942 P value 0.710 0.077 0.939 0.241 0.241 0.909 0.458 0.557 0.469 0.600 0.824 1.000 0.837 0.837 0.710 0.458 0.862 0.452 0.919 Coeff. 1.34e-13 11.25 6.000 1.27e-13 16.00 6.579 2.630 1.22e-13 2.833 6.333 6.000 2.833 3.800 5.800 5.500 1.21e-13 5.077 1.944 4.394 244 0.952 0.520 0.0747 P value 1.000 0.057 0.222 1.000 0.073 0.171 0.575 1.000 0.556 0.204 0.309 0.604 0.455 0.254 0.435 1.000 0.273 0.675 0.345 Coeff. 17.83 -1.917 4.262 10.33 -8.667 -2.193 5.296 10.33 4.556 2.667 -1.917 -0.833 7.933 4.033 -8.667 3.833 3.513 3.361 0.758 244 0.879 0.609 0.0694 P value 0.106 0.835 0.578 0.458 0.533 0.769 0.470 0.458 0.544 0.732 0.835 0.922 0.317 0.611 0.431 0.727 0.626 0.642 0.917 Coeff. 7.02e-15 6.93e-15 -0.143 6.36e-15 6.37e-15 6.04e-15 -0.259 5.98e-15 -0.222 -0.167 -0.250 5.69e-15 -0.1000 -0.300 5.97e-15 -0.500 -0.0769 -0.139 -0.182 244 0.874 0.616 0.0690 P value 1.000 1.000 0.525 1.000 1.000 1.000 0.229 1.000 0.314 0.465 0.355 1.000 0.667 0.198 1.000 0.122 0.716 0.513 0.394 Coeff. 4.22e-15 4.24e-15 0.0714 4.46e-15 4.45e-15 4.67e-15 0.0370 4.67e-15 0.167 0.0833 0.250 4.77e-15 0.100 4.69e-15 4.68e-15 4.69e-15 0.0256 0.0556 0.152 244 0.744 0.771 0.0593 P value 1.000 1.000 0.655 1.000 1.000 1.000 0.808 1.000 0.287 0.607 0.193 1.000 0.545 1.000 1.000 1.000 0.865 0.713 0.317 11 Exhibit A-1B. Relationships Between DHA Resident Characteristics and DHA Developments: Households with 2 Children (continued) Biological father always lived in household with child(ren) (1=yes; 0=no) Parent's age at time of DHA move-in P/C African American (1=yes; 0=no) Parent have HS Parent have any diploma at time of higher education at DHA move-in (1=yes; time of DHA move-in 0=no) (1=yes; 0=no) Kids share same biological dad (1=yes; 0=no) Parent Depressive Symptomatology Scale at time of interview Parenting Efficacy Parenting Beliefs Scale at time of Scale at time of interview interview DHA Development Arrowhead Townhouses Columbine Homes Curtis Park Homes FHA Repossessed East Goldsmith Village South Lincoln North Lincoln COL 220 Quigg Newton Homes Sun Valley Annex Pacific Place Platte Valley Homes Westridge Homes Westwood Homes Stapleton Homes East Village Combined Devel-Disp Hsing S. Combined Devel-Disp Hsing E. Combined Devel-Disp Hsing W. Observations F-Test p value Pseudo R ² Note: P/C = Parent or Caregiver; reference group = Arapaho Cts. bold = p <.05 Coeff. 1.15e-14 1.14e-14 0.286 1.10e-14 1.10e-14 0.158 0.148 1.07e-14 1.01e-14 0.167 1.14e-14 0.167 0.100 0.200 1.06e-14 1.06e-14 0.205 0.167 0.182 244 0.522 0.951 0.0424 P value 1.000 1.000 0.222 1.000 1.000 0.489 0.507 1.000 1.000 0.482 1.000 0.521 0.679 0.408 1.000 1.000 0.351 0.450 0.411 Coeff. -4.833 -7.583 -9.619 -6.333 -11.33 -10.07 -7.222 -3.333 -8.111 -10.42 -5.583 -4.833 -10.33 -7.733 -8.333 4.167 -4.333 -5.076 -4.606 243 1.044 0.411 0.0817 P value 0.554 0.267 0.092 0.540 0.273 0.071 0.185 0.747 0.147 0.072 0.414 0.445 0.080 0.190 0.308 0.610 0.419 0.346 0.393 Coeff. -0.500 -0.500 -0.214 5.98e-15 5.99e-15 -0.526 -0.370 -1.000 -0.722 -0.750 -1.000 3.89e-15 -0.800 -0.400 5.07e-15 -0.500 -0.795 -0.111 -0.970 244 7.950 1.31e-16 0.403 P value 0.174 0.105 0.403 1.000 1.000 0.036 0.131 0.032 0.004 0.004 0.001 1.000 0.003 0.132 1.000 0.174 0.001 0.646 0.000 Coeff. 1.000 0.250 0.500 1.70e-14 1.70e-14 0.316 0.111 1.000 0.167 0.167 0.250 0.167 0.500 0.400 1.63e-14 1.61e-14 0.385 0.361 0.212 244 1.481 0.0938 0.112 P value 0.015 0.465 0.080 1.000 1.000 0.257 0.683 0.054 0.550 0.564 0.465 0.598 0.091 0.175 1.000 1.000 0.152 0.180 0.432 Coeff. -0.333 -0.0833 -0.262 -0.333 -0.333 -0.281 -0.185 -0.333 -0.278 -0.250 -0.333 -0.167 -0.133 -0.333 -0.333 -0.333 -0.256 -0.167 -0.212 244 0.503 0.960 0.0409 P value 0.248 0.730 0.193 0.361 0.361 0.153 0.336 0.361 0.159 0.221 0.168 0.456 0.521 0.110 0.248 0.248 0.176 0.380 0.266 Coeff. 1.000 0.250 0.286 1.000 1.33e-14 0.316 0.407 1.000 0.333 0.417 0.250 0.167 0.400 0.200 1.33e-14 1.000 0.385 0.472 0.424 244 1.014 0.446 0.0792 P value 0.025 0.502 0.357 0.076 1.000 0.297 0.170 0.076 0.273 0.186 0.502 0.628 0.213 0.533 1.000 0.025 0.188 0.108 0.149 Coeff. 12.17 12.92 3.881 -4.333 13.67 2.140 6.815 -0.333 4.000 6.583 -3.083 2.500 9.267 3.167 2.667 -1.333 3.923 3.306 4.333 244 0.980 0.486 0.0767 P value 0.151 0.069 0.510 0.685 0.202 0.710 0.227 0.975 0.489 0.271 0.663 0.703 0.129 0.604 0.752 0.875 0.480 0.553 0.438 Coeff. 0.333 -5.917 -2.952 -0.667 0.333 -2.246 -3.481 -5.667 -1.833 -2.167 -1.167 -1.167 -4.067 -2.367 -5.667 -3.167 -3.077 -3.528 -2.061 244 0.954 0.517 0.0749 P value 0.921 0.037 0.209 0.876 0.938 0.328 0.122 0.184 0.426 0.363 0.679 0.655 0.095 0.330 0.093 0.347 0.165 0.112 0.355 Coeff. -7.833 -1.333 -2.619 -4.333 -1.333 -1.386 -0.889 0.667 -1.333 -0.500 -2.583 -2.500 0.867 -1.433 -3.833 -0.833 -1.590 -3.111 -0.667 244 1.135 0.318 0.0878 P value 0.030 0.658 0.297 0.342 0.770 0.572 0.711 0.884 0.588 0.844 0.392 0.371 0.739 0.581 0.288 0.817 0.501 0.190 0.779 Exhibit A-1C. Relationships Between DHA Resident Characteristics and DHA Developments: Households with 3+ Children P/C is single parent (1=yes, 0=no) P/C employment status at time of DHA P/C disability status P/C hourly wage at move-in at time of survey time of DHA move-in (1=employed, 0=not (1=yes; 0=no) employed) P/C received TANF at time of DHA move-in (1=yes, 0=no) P/C receiving P/C had checking Food Stamps at account at time of time of DHA moveDHA move-in in (1=yes, 0=no) (1=yes, 0=no) P/C had health insurance at time of DHA move-in (1=yes, 0=no) DHA Development Arrowhead Townhouses Columbine Homes Curtis Park Homes FHA Repossessed East Goldsmith Village South Lincoln North Lincoln COL Quigg Newton Homes Sun Valley Annex Pacific Place Platte Valley Homes Westridge Homes Westwood Homes Stapleton Homes East Village Combined Devel-Disp Hsing S. Combined Devel-Disp Hsing E. Combined Devel-Disp Hsing W. Observations F-Test p value Pseudo R ² Note: P/C = Parent or Caregiver; reference group = Arapaho Cts. bold = p <.05 Coeff. 0.250 0.250 0.0682 0.250 0.250 5.54e-15 -0.150 -0.0658 -0.125 0.250 -0.250 -0.114 0.107 -0.0833 0.250 -0.132 0.00758 -0.00926 203 0.575 0.914 0.0533 P value 0.627 0.386 0.800 0.627 0.627 1.000 0.562 0.795 0.657 0.530 0.530 0.672 0.710 0.812 0.627 0.586 0.975 0.970 Coeff. 1.000 0.429 0.455 1.000 1.000 0.437 0.200 0.474 0.625 0.500 -4.500 0.727 -1.000 0.333 -2.31e-14 0.647 0.576 0.630 203 2.884 0.000169 0.220 P value 0.443 0.558 0.505 0.443 0.443 0.502 0.760 0.460 0.382 0.621 0.000 0.286 0.172 0.708 1.000 0.294 0.351 0.314 Coeff. 18.75 7.407 7.409 22.50 20.00 7.734 15.88 8.752 12.09 9.500 -1.30e-13 12.40 4.819 5.383 -4.42e-14 12.27 10.54 11.64 203 1.479 0.101 0.126 P value 0.077 0.211 0.180 0.034 0.059 0.144 0.003 0.093 0.038 0.246 1.000 0.025 0.416 0.455 1.000 0.015 0.036 0.022 Coeff. -3.82e-15 -3.45e-15 0.0909 -3.79e-15 -3.79e-15 0.125 0.0667 0.158 -3.53e-15 -3.58e-15 -3.59e-15 0.182 0.143 0.333 -3.57e-15 0.0882 0.121 0.0370 203 0.452 0.974 0.0424 P value 1.000 1.000 0.604 1.000 1.000 0.456 0.693 0.339 1.000 1.000 1.000 0.300 0.447 0.147 1.000 0.578 0.445 0.818 Coeff. -0.750 -0.179 -1.295 -0.750 -0.750 -0.125 -1.617 -0.329 -1.375 -0.750 -0.250 -0.205 -0.464 -0.417 -0.750 -0.279 -0.356 -0.231 203 1.202 0.263 0.105 P value 0.631 0.838 0.113 0.631 0.631 0.873 0.041 0.668 0.109 0.535 0.836 0.802 0.596 0.696 0.631 0.705 0.630 0.757 Coeff. P value 0.250 0.833 -0.0357 0.957 -0.205 0.741 0.250 0.833 0.250 0.833 0.188 0.752 -1.283 0.032 -0.171 0.769 -7.89e-16 1.000 -0.250 0.785 0.250 0.785 0.0682 0.912 -0.179 0.788 -0.0833 0.918 0.250 0.833 -0.103 0.854 -0.235 0.675 -0.0463 0.935 Coeff. 4.70e-15 0.143 -0.727 1.000 1.000 0.188 4.85e-15 0.105 0.625 0.500 4.49e-15 0.182 -1.286 0.333 1.000 0.676 0.455 0.370 203 1.169 0.291 0.103 203 1.525 0.0852 0.130 P value 1.000 0.850 0.303 0.459 0.459 0.781 1.000 0.874 0.398 0.632 1.000 0.796 0.090 0.718 0.459 0.290 0.477 0.567 Coeff. 0.750 0.464 0.386 -0.250 0.750 0.500 -0.250 0.539 0.375 -0.250 -0.250 0.477 -1.107 0.0833 0.750 0.544 0.417 0.528 203 1.359 0.157 0.117 P value 0.523 0.481 0.528 0.831 0.523 0.394 0.672 0.351 0.560 0.783 0.783 0.436 0.094 0.917 0.523 0.327 0.454 0.348 Exhibit A-1C. Relationships Between DHA Resident Characteristics and DHA Developments: Households with 3+ Children (continued) P/C had too little P/C had difficulty Frequency that P/C money for food at paying all bills at time drank alcohol since time of DHA moveof DHA move-in becoming a parent in (1=yes, 0=no) (1=yes, 0=no) Frequency that P/C smoked marijuana since becoming a parent P/C ever seen a psychiatrist (1=yes, 0=no) Number of years during childhood that P/C lived in public housing Number of years during childhood that P/C lived in a home owned by parents P/C born in the United States (1=yes; 0=no) Spanish language interview (1=yes; 0=no) DHA Development Arrowhead Townhouses Columbine Homes Curtis Park Homes FHA Repossessed East Goldsmith Village South Lincoln North Lincoln COL Quigg Newton Homes Sun Valley Annex Pacific Place Platte Valley Homes Westridge Homes Westwood Homes Stapleton Homes East Village Combined Devel-Disp Hsing S. Combined Devel-Disp Hsing E. Combined Devel-Disp Hsing W. Observations F-Test p value Pseudo R ² Note: P/C = Parent or Caregiver; reference group = Arapaho Cts. bold = p <.05 Coeff. -0.250 0.464 0.477 0.750 0.750 -0.0625 -0.583 0.118 0.625 0.250 0.250 0.295 -1.393 0.0833 -0.250 0.0735 0.0530 0.157 203 1.534 0.0822 0.131 P value 0.828 0.471 0.427 0.514 0.514 0.913 0.314 0.834 0.321 0.779 0.779 0.622 0.032 0.915 0.828 0.892 0.922 0.775 Coeff. -0.250 0.179 -0.795 0.750 0.750 -0.562 -0.383 -0.461 0.375 0.250 -0.250 0.386 -1.393 -2.917 0.750 -0.515 -0.371 0.269 203 0.721 0.787 0.0659 P value 0.916 0.893 0.522 0.752 0.752 0.636 0.749 0.694 0.773 0.892 0.892 0.756 0.296 0.074 0.752 0.647 0.742 0.814 Coeff. 1.92e-14 1.286 0.0909 1.93e-14 1.000 -0.250 0.667 0.263 0.625 2.500 2.03e-14 -0.545 1.857 2.333 2.000 -0.382 -0.0909 0.963 203 0.852 0.637 0.0769 P value 1.000 0.420 0.951 1.000 0.725 0.860 0.641 0.851 0.688 0.257 1.000 0.713 0.244 0.230 0.482 0.776 0.946 0.480 Coeff. -6.57e-15 -0.429 -0.364 -6.47e-15 1.000 -5.91e-15 -0.467 0.895 0.375 3.000 -6.14e-15 -0.727 1.286 -2.667 -6.07e-15 -0.941 0.455 0.630 203 1.086 0.369 0.0960 P value 1.000 0.789 0.808 1.000 0.727 1.000 0.746 0.525 0.811 0.177 1.000 0.626 0.423 0.173 1.000 0.487 0.737 0.646 Coeff. -0.250 0.179 0.114 -0.250 0.750 0.0625 0.417 0.329 0.125 0.250 -0.250 -0.0682 0.179 0.417 -0.250 0.103 0.205 0.0463 203 0.990 0.473 0.0883 P value 0.649 0.563 0.692 0.649 0.174 0.820 0.133 0.225 0.678 0.557 0.557 0.812 0.563 0.268 0.649 0.692 0.432 0.861 Coeff. -13.50 -6.071 -5.955 -13.50 -13.50 -9.375 -8.700 -8.342 -10.12 -6.000 -13.50 -8.682 -7.786 -7.167 12.50 -10.76 -11.50 -7.093 203 1.279 0.206 0.111 P value 0.139 0.235 0.211 0.139 0.139 0.040 0.059 0.064 0.043 0.395 0.057 0.069 0.128 0.250 0.170 0.013 0.008 0.105 Coeff. 8.000 1.286 6.545 22.00 4.000 7.750 5.867 5.684 7.250 8.500 4.000 12.73 8.143 16.67 22.00 10.18 10.58 5.407 203 0.879 0.604 0.0792 P value 0.549 0.863 0.348 0.100 0.764 0.246 0.382 0.387 0.321 0.411 0.699 0.069 0.277 0.068 0.100 0.108 0.095 0.398 Coeff. 3.25e-15 -0.143 3.52e-15 3.21e-15 3.18e-15 -0.187 -0.133 -0.263 2.85e-15 2.86e-15 2.82e-15 -0.273 -0.143 2.92e-15 2.82e-15 -0.206 -0.152 -0.185 203 0.530 0.941 0.0493 P value 1.000 0.542 1.000 1.000 1.000 0.370 0.526 0.202 1.000 1.000 1.000 0.212 0.542 1.000 1.000 0.298 0.444 0.356 Coeff. P value -2.92e-16 1.000 0.143 0.375 -5.00e-16 1.000 -3.69e-16 1.000 -3.81e-16 1.000 0.187 0.192 -6.40e-16 1.000 0.211 0.137 -6.93e-16 1.000 -7.06e-16 1.000 -7.14e-16 1.000 0.0909 0.544 -6.44e-16 1.000 -9.54e-16 1.000 -6.52e-16 1.000 0.0294 0.828 0.0606 0.655 0.0741 0.590 203 0.823 0.671 0.0745 ExhibitA-1C. Relationships Between DHA Resident Characteristics and DHA Developments: Households with 3+ Children (continued) Biological father always lived in Parent's age at time household with of DHA move-in child(ren) (1=yes; 0=no) Parent have HS P/C African diploma at time of American (1=yes; DHA move-in (1=yes; 0=no) 0=no) Parent have any Kids share same higher education at biological dad time of DHA move(1=yes; 0=no) in (1=yes; 0=no) Parent Depressive Parenting Efficacy Parenting Beliefs Symptomatology Scale at time of Scale at time of Scale at time of interview interview interview DHA Development Arrowhead Townhouses Columbine Homes Curtis Park Homes FHA Repossessed East Goldsmith Village South Lincoln North Lincoln COL Quigg Newton Homes Sun Valley Annex Pacific Place Platte Valley Homes Westridge Homes Westwood Homes Stapleton Homes East Village Combined Devel-Disp Hsing S. Combined Devel-Disp Hsing E. Combined Devel-Disp Hsing W. Observations F-Test p value Pseudo R ² Note: P/C = Parent or Caregiver; reference group = Arapaho Cts. bold = p <.05 Coeff. -0.250 -0.107 -0.0682 -0.250 0.750 -0.188 0.150 -0.145 0.250 0.250 -0.250 -0.0682 -0.107 0.417 -0.250 0.162 -0.00758 0.120 203 1.349 0.162 0.117 P value 0.613 0.699 0.792 0.613 0.130 0.448 0.547 0.552 0.356 0.514 0.514 0.792 0.699 0.218 0.613 0.489 0.974 0.611 Coeff. 3.250 12.25 2.795 4.250 7.250 6.687 4.250 6.566 8.125 13.25 3.750 9.068 1.393 13.58 11.25 9.515 7.098 8.139 203 1.183 0.279 0.104 P value 0.729 0.021 0.568 0.650 0.439 0.154 0.368 0.155 0.114 0.069 0.605 0.065 0.791 0.035 0.230 0.033 0.111 0.071 Coeff. -1.28e-14 -0.571 -9.76e-15 -1.16e-14 -1.15e-14 -0.500 -0.467 -0.895 -0.375 -1.000 -9.39e-15 -0.545 -0.857 -1.02e-14 -1.39e-14 -0.647 -0.303 -0.963 203 5.652 1.47e-10 0.356 P value 1.000 0.031 1.000 1.000 1.000 0.034 0.050 0.000 0.146 0.007 1.000 0.027 0.001 1.000 1.000 0.004 0.174 0.000 Coeff. -2.63e-15 0.571 0.455 -2.46e-15 -2.54e-15 0.375 0.200 0.316 0.375 -1.50e-15 0.500 0.273 0.143 0.333 1.000 0.412 0.394 0.370 203 0.705 0.803 0.0645 P value 1.000 0.061 0.110 1.000 1.000 0.168 0.464 0.238 0.208 1.000 0.235 0.336 0.639 0.369 0.066 0.110 0.126 0.155 Coeff. P value -5.40e-15 1.000 -5.08e-15 1.000 -5.63e-15 1.000 -5.38e-15 1.000 -5.34e-15 1.000 0.125 0.417 0.0667 0.667 0.0526 0.728 -5.19e-15 1.000 -5.19e-15 1.000 -5.19e-15 1.000 0.182 0.258 -5.13e-15 1.000 -4.91e-15 1.000 -5.22e-15 1.000 0.0294 0.840 0.152 0.299 0.148 0.315 Coeff. P value -6.77e-15 1.000 0.143 0.625 0.273 0.317 -6.64e-15 1.000 1.000 0.056 0.375 0.151 0.400 0.129 0.316 0.219 0.125 0.662 -6.01e-15 1.000 -6.04e-15 1.000 0.273 0.317 0.429 0.144 -6.34e-15 1.000 -6.05e-15 1.000 0.529* 0.033 0.303 0.221 0.259 0.300 Coeff. -3.250 8.321 7.659 13.75 20.75 2.687 -1.383 2.803 2.625 3.250 2.250 -0.886 -0.250 8.417 -3.250 1.956 -0.0682 0.194 203 0.627 0.876 0.0578 203 1.101 0.354 0.0972 203 1.111 0.344 0.0981 P value 0.763 0.170 0.175 0.204 0.056 0.619 0.799 0.598 0.657 0.698 0.788 0.875 0.967 0.255 0.763 0.702 0.989 0.970 Coeff. 3.500 -1.643 0.500 -4.500 -5.500 0.688 1.033 0.974 0.250 1.46e-14 0.500 0.318 1.786 -0.167 2.500 0.206 0.773 0.352 203 0.715 0.793 0.0654 P value 0.337 0.422 0.793 0.218 0.132 0.706 0.573 0.587 0.900 1.000 0.859 0.867 0.383 0.947 0.493 0.905 0.654 0.840 Coeff. 0.750 -1.679 -2.795 -9.250 -2.250 -1.438 -1.983 -1.197 -0.250 0.250 -4.750 -2.068 -3.679 -2.250 0.750 -0.779 -1.311 -2.028 203 0.740 0.767 0.0675 P value 0.865 0.498 0.227 0.037 0.611 0.515 0.373 0.582 0.918 0.942 0.166 0.371 0.139 0.456 0.865 0.709 0.531 0.339 15 Results of these tests using DHA development dummies are presented in Exhibit A-1(AC), those using census tract dummies in Exhibit A-2(A-C). Exhibit A-1shows that there were few statistically significant differences in individual characteristics across the various DHA developments: of 1,482 coefficients across all family size strata only 72 (5%) were so.34 A similar aggregate portrait emerges from Exhibit A-2: of 3,640 coefficients across all family size strata only 202 (5.5%) were significant.35 Examination of individual characteristics reveals, however, that African Americans with two or more children were not proportionally distributed across all DHA developments or census tracts where such developments were located.36 We cannot be sure whether any systematic actions by the DHA and/or African American applicants to DHA produced this result, but the outcome was clearly inconsistent with quasi-random assignment across developments or neighborhoods. The second notable revelation was that DHA residents with disabilities (most of whom had two or fewer children) were also allocated nonrandomly to a relatively few developments, producing a distinct profile for their census tract characteristics. This is not surprising, inasmuch as certain DHA developments are designed especially for elderly and disabled residents and other, scattered-site developments are rendered off-limits to the disabled because of expectations of tenant contributions to dwelling and grounds maintenance. Conditioning on ethnic and disability status, however, we think this evidence offers a compelling case that DHA allocations were quasi-random across developments and neighborhoods because only three (3) percent of the remaining coefficients proved statistically significant in both Exhibits A-1and A-2 there was no pattern to these coefficients. This percentage could have been generated by chance even if true random assignment had been undertaken. 34 The percentages across the 0-1 child, 2 children, 3+ children strata were 3%, 6%, 6%, respectively. The percentages across the 0-1 child, 2 children, 3+ children strata were 4%, 6%, 6%, respectively. 36 Seventeen of the 37 DHA site coefficients were significantly different from zero for the African American characteristic combining both family size strata; the corresponding figure for the 97 tract coefficients was 44. 35 Exhibit A-2A. Relationships Between DHA Resident Characteristics and Census Tracts: Households with 0-1 Child P/C is single parent (1=yes, 0=no) Census Tract 2.0100 2.0200 3.0100 3.0200 5.0200 7.0100 7.0200 8.0000 9.0200 9.0300 9.0400 10.0000 11.0100 14.0100 15.0000 16.0000 18.0000 19.0000 21.0000 23.0000 24.0300 31.0200 35.0000 36.0200 37.0200 37.0300 40.0300 41.0100 41.0200 41.0300 41.0400 43.0100 44.0400 45.0100 45.0200 46.0100 46.0200 50.0100 51.0200 54.0000 55.0300 68.0900 83.0300 Coeff. -2.46e-14 -0.267 -1.000 -0.667 -0.500 -2.46e-14 -0.190 -0.0645 -2.45e-14 -1.000 -2.45e-14 -0.500 -0.0625 -2.47e-14 -0.333 -0.0667 -2.44e-14 -0.305 -2.45e-14 -2.44e-14 -0.167 -1.000 -2.43e-14 -2.43e-14 -2.43e-14 -0.500 -2.44e-14 -2.44e-14 -2.43e-14 -0.333 -0.500 -0.500 -2.48e-14 -0.333 -0.200 -1.000 -1.000 -1.000 -1.000 -2.46e-14 -0.333 -2.49e-14 -1.000 Observations F-Test p value Pseudo R ² Note: P/C = Parent or Caregiver; reference group is Tract 1.0200 bold = p <.05 261 1.524 0.0276 0.232 P value 1.000 0.524 0.082 0.155 0.314 1.000 0.646 0.875 1.000 0.082 1.000 0.254 0.881 1.000 0.476 0.873 1.000 0.455 1.000 1.000 0.689 0.082 1.000 1.000 1.000 0.314 1.000 1.000 1.000 0.476 0.314 0.314 1.000 0.476 0.633 0.082 0.082 0.082 0.045 1.000 0.435 1.000 0.082 P/C employment status at time of DHA P/C hourly wage at move-in time of DHA move-in (1=employed, 0=not employed) Coeff. -1.000 -0.733 -1.000 -0.333 8.11e-15 -0.333 -0.476 -0.613 6.88e-15 6.67e-15 6.62e-15 -0.500 -0.625 -1.000 -0.667 -0.333 -1.000 -0.695 5.87e-15 -0.500 -1.000 -1.000 5.30e-15 -0.500 -1.000 -0.500 4.81e-15 4.92e-15 -1.000 -0.333 4.70e-15 -1.000 -0.333 -0.333 -1.200 8.40e-15 8.34e-15 8.66e-15 -0.500 -1.000 -0.556 -0.333 4.36e-15 261 0.242 1.000 0.0458 P value 0.604 0.602 0.604 0.832 1.000 0.832 0.733 0.658 1.000 1.000 1.000 0.734 0.656 0.604 0.672 0.813 0.549 0.613 1.000 0.764 0.475 0.604 1.000 0.764 0.604 0.764 1.000 1.000 0.604 0.832 1.000 0.549 0.832 0.832 0.394 1.000 1.000 1.000 0.764 0.604 0.699 0.832 1.000 Coeff. -17.00 -12.11 -17.00 -10.67 2.350 -2.000 -8.343 -11.32 5.000 2.000 1.500 -7.917 -10.90 -17 -12.00 -5.205 -17.00 -5.769 2.000 -9.500 -8.504 -17.00 -1.000 -7.750 -17.00 -8.325 7.000 0.250 -17.00 -1.250 1.450 -17.00 -4.763 -3.000 -10.66 3.000 1.000 4.000 -7.775 -17 -9.111 -3.467 17.00 261 1.352 0.0853 0.211 P value 0.190 0.201 0.190 0.314 0.834 0.850 0.374 0.225 0.700 0.877 0.908 0.424 0.249 0.190 0.257 0.582 0.131 0.533 0.877 0.398 0.367 0.190 0.938 0.490 0.190 0.458 0.589 0.985 0.190 0.906 0.897 0.131 0.653 0.777 0.261 0.817 0.938 0.758 0.489 0.190 0.346 0.743 0.190 P/C disability status at time of survey (1=yes; 0=no) Coeff. -1.000 -0.933 -5.22e-14 -1.000 -1.000 -1.000 -0.810 -0.935 -1.000 -1.000 -5.37e-14 -1.000 -0.938 -1.000 -1.000 -0.800 -0.500 -0.881 -1.000 -0.500 -0.722 -5.51e-14 -1.000 -1.000 -5.52e-14 -0.500 -1.000 -1.000 -1.000 -0.667 -1.000 -5.60e-14 -0.667 -1.000 -0.733 -1.000 -1.000 -5.18e-14 -1.000 -1.000 -0.889 -1.000 -1.000 261 1.709 0.00711 0.253 P value 0.042 0.009 1.000 0.013 0.019 0.013 0.023 0.008 0.042 0.042 1.000 0.008 0.009 0.042 0.013 0.026 0.238 0.012 0.042 0.238 0.043 1.000 0.042 0.019 1.000 0.238 0.042 0.042 0.042 0.096 0.019 1.000 0.096 0.013 0.041 0.042 0.042 1.000 0.019 0.042 0.015 0.013 0.042 P/C receiving Food P/C received TANF Stamps at time of at time of DHA moveDHA move-in (1=yes, in (1=yes, 0=no) 0=no) Coeff. -1.000 -0.867 -7.97e-15 -1.000 -1.000 -0.667 -0.571 -0.581 -8.65e-15 -1.000 -1.000 -0.667 -0.688 -1.000 -0.333 -0.333 -0.500 -0.983 -9.41e-15 -9.48e-15 -1.111 -1.000 -9.87e-15 -1.000 -1.00e-14 -1.000 -1.000 -1.000 -1.03e-14 -1.000 -1.000 -1.000 -1.000 -1.000 -0.733 -1.000 -1.000 -1.000 -1.000 -1.000 -0.889 -0.667 -1.000 261 0.306 1.000 0.0572 P value 0.547 0.474 1.000 0.460 0.486 0.623 0.634 0.626 1.000 0.547 0.547 0.599 0.570 0.547 0.806 0.783 0.728 0.406 1.000 1.000 0.357 0.547 1.000 0.486 1.000 0.486 0.547 0.547 1.000 0.460 0.486 0.486 0.460 0.460 0.545 0.547 0.547 0.547 0.486 0.547 0.472 0.623 0.547 Coeff. -1.000 -0.600 -3.06e-14 -0.667 -0.500 -0.333 -0.333 -0.419 -3.04e-14 -1.000 -3.03e-14 -0.667 -0.250 -1.000 -3.14e-14 -0.267 -0.500 -0.712 -3.01e-14 -0.500 -1.000 -3.00e-14 -2.98e-14 -0.500 -3.00e-14 -1.000 -3.01e-14 -3.01e-14 -3.02e-14 -1.000 -0.500 -0.500 -1.000 -0.667 -1.000 -3.05e-14 -1.000 -3.06e-14 -0.500 -1.000 -0.444 -0.333 -3.05e-14 261 0.260 1.000 0.0489 P value 0.605 0.671 1.000 0.672 0.765 0.833 0.811 0.762 1.000 0.605 1.000 0.651 0.859 0.605 1.000 0.850 0.765 0.605 1.000 0.765 0.476 1.000 1.000 0.765 1.000 0.550 1.000 1.000 1.000 0.526 0.765 0.765 0.526 0.672 0.478 1.000 0.605 1.000 0.765 0.605 0.757 0.833 1.000 P/C had checking account at time of DHA move-in (1=yes, 0=no) Coeff. 9.19e-14 0.333 1.000 0.333 1.000 1.000 0.238 0.0323 1.000 1.000 1.000 0.500 0.375 9.18e-14 9.19e-14 0.400 9.19e-14 0.102 1.000 9.24e-14 -0.111 9.26e-14 9.27e-14 0.500 9.27e-14 1.000 1.000 9.26e-14 1.000 0.667 1.000 0.500 0.667 0.333 -0.400 9.19e-14 9.18e-14 1.000 9.18e-14 9.18e-14 0.333 1.000 1.000 261 0.287 1.000 0.0538 P value 1.000 0.826 0.630 0.844 0.579 0.556 0.874 0.983 0.630 0.630 0.630 0.753 0.804 1.000 1.000 0.792 1.000 0.945 0.630 1.000 0.941 1.000 1.000 0.781 1.000 0.579 0.630 1.000 0.630 0.694 0.579 0.781 0.694 0.844 0.792 1.000 1.000 0.630 1.000 1.000 0.830 0.556 0.630 P/C had health insurance at time of DHA move-in (1=yes, 0=no) Coeff. -1.000 -0.333 -1.84e-14 -0.333 -1.85e-14 -1.79e-14 -0.190 -0.355 -1.000 -1.90e-14 -1.90e-14 -0.333 -0.375 -1.000 -1.88e-14 -0.200 -1.85e-14 -0.508 -1.98e-14 -1.98e-14 -0.778 -2.01e-14 -2.00e-14 -2.02e-14 -2.02e-14 -2.02e-14 -2.03e-14 -2.03e-14 -2.03e-14 -1.95e-14 -2.05e-14 -0.500 -0.667 -0.667 -0.867 -1.83e-14 -1.000 -1.82e-14 -1.82e-14 -1.000 -0.111 -0.667 -2.06e-14 261 0.216 1.000 0.0411 P value 0.605 0.813 1.000 0.833 1.000 1.000 0.892 0.798 0.605 1.000 1.000 0.821 0.790 0.605 1.000 0.887 1.000 0.712 1.000 1.000 0.580 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.765 0.673 0.673 0.540 1.000 0.605 1.000 1.000 0.605 0.939 0.673 1.000 Exhibit A-2A. Relationships Between DHA Resident Characteristics and Census Tracts: Households with 0-1 Child (cont.) P/C had too little P/C had difficulty money for food at time paying all bills at time of DHA move-in of DHA move-in (1=yes, 0=no) (1=yes, 0=no) Census Tract 2.0100 2.0200 3.0100 3.0200 5.0200 7.0100 7.0200 8.0000 9.0200 9.0300 9.0400 10.0000 11.0100 14.0100 15.0000 16.0000 18.0000 19.0000 21.0000 23.0000 24.0300 31.0200 35.0000 36.0200 37.0200 37.0300 40.0300 41.0100 41.0200 41.0300 41.0400 43.0100 44.0400 45.0100 45.0200 46.0100 46.0200 50.0100 51.0200 54.0000 55.0300 68.0900 83.0300 Coeff. 3.54e-14 0.333 1.000 0.667 0.500 0.333 0.333 0.290 3.43e-14 1.000 1.000 0.333 0.250 1.000 0.333 0.467 0.500 -0.186 3.63e-14 3.64e-14 -0.111 3.62e-14 3.62e-14 3.62e-14 3.62e-14 3.62e-14 3.61e-14 1.000 3.61e-14 0.667 0.500 3.61e-14 0.333 0.333 -0.267 3.55e-14 1.000 1.000 3.59e-14 3.60e-14 0.333 0.667 3.60e-14 Observations F-Test p value Pseudo R ² 261 0.259 1.000 0.0488 Note: P/C = Parent or Caregiver; reference group is Tract 1.0200 bold = p <.05 P value 1.000 0.825 0.628 0.692 0.780 0.843 0.823 0.845 1.000 0.628 0.628 0.832 0.868 0.628 0.843 0.757 0.780 0.899 1.000 1.000 0.941 1.000 1.000 1.000 1.000 1.000 1.000 0.628 1.000 0.692 0.780 1.000 0.843 0.843 0.859 1.000 0.628 0.628 1.000 1.000 0.828 0.692 1.000 Coeff. 9.63e-14 0.467 9.63e-14 0.667 1.000 0.667 0.524 0.0645 9.63e-14 1.000 9.62e-14 0.333 0.438 9.65e-14 0.333 -0.200 1.000 0.0508 9.65e-14 9.65e-14 -0.333 1.000 9.65e-14 9.64e-14 1.000 9.65e-14 9.64e-14 1.000 1.000 0.333 9.64e-14 0.500 0.333 -2.333 -0.267 1.000 9.64e-14 1.000 9.65e-14 9.66e-14 0.556 0.333 1.000 261 0.383 1.000 0.0706 P value 1.000 0.789 1.000 0.732 0.628 0.732 0.762 0.970 1.000 0.675 1.000 0.855 0.801 1.000 0.864 0.909 0.628 0.976 1.000 1.000 0.847 0.675 1.000 1.000 0.675 1.000 1.000 0.675 0.675 0.864 1.000 0.809 0.864 0.232 0.878 0.675 1.000 0.675 1.000 1.000 0.755 0.864 0.675 Frequency that P/C drank alcohol since becoming a parent Coeff. 4.03e-14 0.133 4.06e-14 1.667 -4.000 1.333 0.238 0.548 4.20e-14 8.000 2.000 0.833 0.750 3.94e-14 2.000 0.600 0.500 0.678 4.32e-14 3.000 1.500 4.38e-14 4.38e-14 0.500 4.43e-14 4.45e-14 4.47e-14 1.000 4.46e-14 2.000 1.000 -3.500 0.333 1.667 1.000 4.00e-14 2.000 3.97e-14 3.96e-14 2.000 1.444 -2.667 1.000 261 1.299 0.117 0.205 P value 1.000 0.950 1.000 0.484 0.114 0.575 0.910 0.793 1.000 0.006 0.493 0.708 0.724 1.000 0.401 0.778 0.843 0.744 1.000 0.235 0.479 1.000 1.000 0.843 1.000 1.000 1.000 0.731 1.000 0.401 0.692 0.166 0.889 0.484 0.638 1.000 0.493 1.000 1.000 0.493 0.506 0.263 0.731 Frequency that P/C smoked marijuana since becoming a parent Coeff. 7.87e-14 -0.200 7.87e-14 7.88e-14 0.500 0.333 -0.0952 0.161 7.88e-14 4.000 7.88e-14 0.667 -0.312 7.81e-14 7.86e-14 0.133 0.500 0.203 7.66e-14 5.000 0.667 7.63e-14 7.63e-14 0.500 7.63e-14 7.64e-14 7.63e-14 2.000 7.64e-14 7.74e-14 7.63e-14 3.000 7.87e-14 0.667 0.667 7.86e-14 7.86e-14 7.85e-14 7.85e-14 1.000 0.444 0.333 1.000 261 0.777 0.837 0.133 P value 1.000 0.911 1.000 1.000 0.813 0.867 0.957 0.927 1.000 0.103 1.000 0.721 0.861 1.000 1.000 0.940 0.813 0.907 1.000 0.019 0.708 1.000 1.000 0.813 1.000 1.000 1.000 0.414 1.000 1.000 1.000 0.158 1.000 0.739 0.709 1.000 1.000 1.000 1.000 0.683 0.807 0.867 0.683 P/C ever seen a psychiatrist (1=yes, 0=no) Coeff. 2.98e-14 0.467 1.000 3.08e-14 2.99e-14 0.333 0.429 0.258 1.000 1.000 3.03e-14 0.500 0.375 2.99e-14 0.333 0.467 0.500 0.237 1.000 0.500 0.556 3.11e-14 3.11e-14 0.500 3.11e-14 3.12e-14 3.12e-14 3.12e-14 3.13e-14 0.667 3.13e-14 3.13e-14 0.667 0.667 0.267 1.000 2.99e-14 2.99e-14 2.99e-14 2.99e-14 0.222 0.667 3.15e-14 261 0.972 0.526 0.162 P value 1.000 0.342 0.138 1.000 1.000 0.544 0.379 0.593 0.138 0.138 1.000 0.331 0.444 1.000 0.544 0.342 0.391 0.621 0.138 0.391 0.256 1.000 1.000 0.391 1.000 1.000 1.000 1.000 1.000 0.225 1.000 1.000 0.225 0.225 0.587 0.138 1.000 1.000 1.000 1.000 0.657 0.225 1.000 Number of years during childhood that P/C lived in a home owned by parents P value Coeff. P value 1.000 1.17e-12 1.000 0.565 7.533 0.536 0.345 1.17e-12 1.000 1.000 9.000 0.509 1.000 25.00 0.085 1.000 22.00 0.107 0.484 10.62 0.379 0.377 12.42 0.301 1.000 25.00 0.135 1.000 22.00 0.188 1.000 18.00 0.281 0.096 1.12e-12 1.000 0.680 10.19 0.402 1.000 1.17e-12 1.000 0.222 25.33 0.064 0.555 13.80 0.258 1.000 7.000 0.628 0.496 10.20 0.391 0.271 17.00 0.309 1.000 13.50 0.350 0.579 12.06 0.320 1.000 27.00 0.107 1.000 27.00 0.107 0.413 13.50 0.350 0.238 1.19e-12 1.000 1.000 8.500 0.556 1.000 27.00 0.107 1.000 10.00 0.549 1.000 1.20e-12 1.000 0.630 18.00 0.187 0.388 15.00 0.300 1.000 21.00 0.147 1.000 15.00 0.271 0.748 7.000 0.607 0.630 12.07 0.322 1.000 27.00 0.107 1.000 21.00 0.209 1.000 16.00 0.338 1.000 5.500 0.703 1.000 1.17e-12 1.000 0.432 14.00 0.261 1.000 15.33 0.261 1.000 27.00 0.107 Number of years during childhood that P/C lived in public housing Coeff. 2.31e-13 5.333 12.00 2.02e-13 2.33e-13 1.98e-13 6.429 8.065 2.41e-13 2.41e-13 2.41e-13 16.17 3.813 2.28e-13 12.67 5.467 2.28e-13 6.169 14.00 2.43e-13 5.111 2.48e-13 2.48e-13 9.000 15.00 2.50e-13 2.51e-13 2.51e-13 2.51e-13 5.000 9.500 2.52e-13 2.14e-13 3.333 4.467 2.30e-13 2.31e-13 2.29e-13 2.30e-13 2.29e-13 7.444 2.18e-13 2.56e-13 261 0.773 0.843 0.133 261 0.981 0.511 0.163 P/C born in the United States (1=yes; 0=no) Coeff. -2.37e-14 -0.133 -2.37e-14 -2.35e-14 -2.37e-14 -2.35e-14 -0.0952 -0.0645 -2.38e-14 -2.38e-14 -2.39e-14 -2.31e-14 -2.36e-14 -2.36e-14 -2.36e-14 -0.133 -2.36e-14 -0.102 -2.37e-14 -2.37e-14 -0.167 -1.000 -2.37e-14 -2.38e-14 -2.37e-14 -2.37e-14 -1.000 -2.38e-14 -2.38e-14 -0.333 -2.38e-14 -0.500 -2.36e-14 -2.36e-14 -0.133 -2.36e-14 -2.36e-14 -2.36e-14 -2.36e-14 -2.36e-14 -2.37e-14 -0.333 -2.38e-14 261 0.865 0.709 0.146 P value 1.000 0.660 1.000 1.000 1.000 1.000 0.751 0.829 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.660 1.000 0.731 1.000 1.000 0.580 0.017 1.000 1.000 1.000 1.000 0.017 1.000 1.000 0.325 1.000 0.165 1.000 1.000 0.660 1.000 1.000 1.000 1.000 1.000 1.000 0.325 1.000 Spanish language interview (1=yes; 0=no) Coeff. -1.36e-15 0.133 -1.36e-15 -1.22e-15 -1.36e-15 -1.22e-15 0.0952 -1.62e-15 1.000 -1.35e-15 -1.34e-15 -1.18e-15 -1.43e-15 -1.31e-15 -1.25e-15 0.0667 -1.34e-15 0.0508 -1.27e-15 -1.26e-15 0.0556 -1.25e-15 -1.24e-15 -1.23e-15 -1.25e-15 -1.23e-15 -1.23e-15 -1.23e-15 -1.23e-15 0.333 -1.22e-15 -1.22e-15 -1.27e-15 -1.31e-15 -1.24e-15 -1.35e-15 -1.34e-15 -1.34e-15 -1.33e-15 -1.34e-15 -1.31e-15 -8.30e-16 -1.21e-15 261 0.905 0.643 0.152 P value 1.000 0.525 1.000 1.000 1.000 1.000 0.647 1.000 0.001 1.000 1.000 1.000 1.000 1.000 1.000 0.751 1.000 0.804 1.000 1.000 0.790 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.156 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 Exhibit A-2A. Relationships Between DHA Resident Characteristics and Census Tracts: Households with 0-1 Child (cont.) Biological father always lived in household with child(ren) (1=yes; 0=no) Census Tract 2.0100 2.0200 3.0100 3.0200 5.0200 7.0100 7.0200 8.0000 9.0200 9.0300 9.0400 10.0000 11.0100 14.0100 15.0000 16.0000 18.0000 19.0000 21.0000 23.0000 24.0300 31.0200 35.0000 36.0200 37.0200 37.0300 40.0300 41.0100 41.0200 41.0300 41.0400 43.0100 44.0400 45.0100 45.0200 46.0100 46.0200 50.0100 51.0200 54.0000 55.0300 68.0900 83.0300 Coeff. 3.92e-14 0.0667 1.000 0.333 3.92e-14 3.93e-14 0.0952 0.0323 3.90e-14 3.90e-14 3.90e-14 0.333 3.94e-14 3.90e-14 3.92e-14 0.133 3.87e-14 0.220 3.86e-14 3.86e-14 0.111 3.84e-14 1.000 3.85e-14 1.000* 3.85e-14 3.85e-14 3.85e-14 3.85e-14 0.333 3.85e-14 0.500 3.91e-14 0.667 0.200 3.91e-14 1.000 3.90e-14 0.500 3.90e-14 0.111 4.00e-14 1.000 Observations F-Test p value Pseudo R ² 261 1.513 0.0299 0.231 Note: P/C = Parent or Caregiver; reference group is Tract 1.0200 bold = p <.05 P value 1.000 0.849 0.038 0.396 1.000 1.000 0.784 0.926 1.000 1.000 1.000 0.364 1.000 1.000 1.000 0.704 1.000 0.520 1.000 1.000 0.750 1.000 0.038 1.000 0.038 1.000 1.000 1.000 1.000 0.396 1.000 0.230 1.000 0.090 0.569 1.000 0.038 1.000 0.230 1.000 0.756 1.000 0.038 Parent's age at time of DHA move-in Coeff. 19.00 5.867 24.00 14.33 3.500 7.333 0.619 -2.194 -3.000 -7.000 5.03e-13 3.000 -1.750 16.00 0.667 -2.600 25.00 0.576 -7.000 -2.500 6.833 26.00 -3.000 27.00 -6.000 13.00 3.000 -6.000 -9.000 2.667 4.500 2.000 6.333 -5.000 3.733 -8.000 7.000 -1.000 -3.500 27.00 -0.111 8.667 12.00 261 1.829 0.00277 0.266 P value 0.195 0.583 0.102 0.231 0.783 0.540 0.953 0.835 0.838 0.633 1.000 0.789 0.870 0.275 0.956 0.808 0.050 0.956 0.633 0.844 0.521 0.077 0.838 0.034 0.682 0.306 0.838 0.682 0.539 0.823 0.723 0.875 0.596 0.676 0.727 0.585 0.633 0.946 0.783 0.066 0.992 0.469 0.413 Parent have HS Parent have any Kids share same P/C African American diploma at time of higher education at biological dad (1=yes; (1=yes; 0=no) DHA move-in (1=yes; time of DHA move-in 0=no) 0=no) (1=yes; 0=no) Coeff. 3.94e-14 0.200 3.92e-14 3.87e-14 0.500 1.000 0.286 0.387 3.86e-14 3.86e-14 3.86e-14 0.167 0.438 4.01e-14 0.667 0.667 4.05e-14 0.458 1.000 1.000 0.833 4.22e-14 1.000 1.000 1.000 0.500 1.000 1.000 1.000 0.333 1.000 1.000 1.000 3.97e-14 0.400 3.94e-14 3.95e-14 1.000 1.000 1.000 0.111 0.667 4.23e-14 261 1.938 0.00113 0.277 P value 1.000 0.677 1.000 1.000 0.380 0.063 0.548 0.413 1.000 1.000 1.000 0.740 0.362 1.000 0.215 0.166 1.000 0.329 0.129 0.080 0.082 1.000 0.129 0.080 0.129 0.380 0.129 0.129 0.129 0.535 0.080 0.080 0.063 1.000 0.405 1.000 1.000 0.129 0.080 0.129 0.821 0.215 1.000 Coeff. -1.000 -0.533 -1.000 -1.000 -0.500 -0.667 -0.714 -0.742 -1.000 -1.000 -1.000 -0.833 -0.563 -9.49e-14 -0.333 -0.733 -0.500 -0.508 -1.000 -1.000 -0.722 -1.000 -1.000 -0.500 -9.88e-14 -9.90e-14 -1.000 -1.000 -1.000 -1.000 -0.500 -0.500 -1.000 -0.333 -0.933 -1.000 -9.52e-14 -1.000 -0.500 -1.000 -0.667 -1.000 -1.000 261 1.093 0.333 0.178 P value 0.134 0.273 0.134 0.067 0.386 0.221 0.139 0.122 0.134 0.134 0.134 0.102 0.247 1.000 0.540 0.132 0.386 0.285 0.134 0.084 0.136 0.134 0.134 0.386 1.000 1.000 0.134 0.134 0.134 0.067 0.386 0.386 0.067 0.540 0.056 0.134 1.000 0.134 0.386 0.134 0.180 0.067 0.134 Coeff. 2.20e-14 0.0667 2.20e-14 2.20e-14 2.19e-14 0.333 0.190 0.0323 2.19e-14 2.19e-14 2.19e-14 2.19e-14 2.21e-14 2.19e-14 2.21e-14 0.133 2.18e-14 0.102 2.18e-14 2.18e-14 0.111 2.18e-14 2.18e-14 0.500 2.18e-14 2.18e-14 2.19e-14 2.18e-14 2.18e-14 0.333 0.500 2.18e-14 0.667 0.333 0.333 2.20e-14 2.20e-14 1.000 2.20e-14 2.20e-14 0.111 0.333 2.18e-14 261 1.055 0.390 0.173 P value 1.000 0.842 1.000 1.000 1.000 0.372 0.565 0.922 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.689 1.000 0.755 1.000 1.000 0.738 1.000 1.000 0.207 1.000 1.000 1.000 1.000 1.000 0.372 0.207 1.000 0.075 0.372 0.318 1.000 1.000 0.029 1.000 1.000 0.744 0.372 1.000 Coeff. -3.11e-14 -0.267 -1.000 -3.12e-14 -3.09e-14 -3.12e-14 -0.381 -0.419 -3.08e-14 -1.000 -1.000 -0.333 -0.188 -3.14e-14 -0.333 -0.600 -3.13e-14 -0.288 -3.15e-14 -0.500 -0.333 -3.15e-14 -1.000 -3.16e-14 -3.15e-14 -3.16e-14 -1.000 -1.000 -3.16e-14 -3.26e-14 -0.500 -3.16e-14 -3.14e-14 -0.333 -0.400 -3.12e-14 -3.12e-14 -3.13e-14 -3.13e-14 -3.13e-14 -0.222 -0.333 -3.17e-14 261 0.944 0.576 0.158 P value 1.000 0.580 0.130 1.000 1.000 1.000 0.425 0.376 1.000 0.130 0.130 0.508 0.696 1.000 0.536 0.214 1.000 0.540 1.000 0.382 0.487 1.000 0.130 1.000 1.000 1.000 0.130 0.130 1.000 1.000 0.382 1.000 1.000 0.536 0.407 1.000 1.000 1.000 1.000 1.000 0.651 0.536 1.000 Parent Depressive Symptomatology Scale at time of interview Coeff. 1.51e-13 11.87 31.00 5.000 5.000 15.00 8.571 9.516 5.000 18.00 1.57e-13 4.167 12.19 5.000 17.33 13.80 5.500 10.02 1.000 9.500 13.28 21.00 -1.000 2.500 -1.000 4.500 5.000 21.00 30.00 3.333 1.87e-13 11.00 7.667 6.667 8.800 10.00 7.000 8.000 4.500 19.00 11.89 7.000 4.000 261 0.928 0.603 0.155 P value 1.000 0.245 0.027 0.661 0.679 0.189 0.396 0.343 0.720 0.198 1.000 0.696 0.231 0.720 0.129 0.176 0.649 0.314 0.943 0.432 0.191 0.133 0.943 0.836 0.943 0.709 0.720 0.133 0.032 0.770 1.000 0.363 0.501 0.558 0.388 0.473 0.616 0.566 0.709 0.174 0.253 0.539 0.774 Parenting Efficacy Scale at time of interview Coeff. 1.000 -0.667 -5.000 1.333 -2.000 -1.667 -0.238 -0.581 -2.000 -2.000 3.000 1.667 0.437 3.000 0.333 1.000 -2.500 -0.0169 3.000 0.500 -0.111 -10.00 3.000 3.000 3.000 -1.000 -2.000 2.000 -10.00 -0.333 2.500 -3.500 -4.000 2.000 0.733 2.000 -4.000 1.000 3.000 -2.000 1.111 1.667 -7.000 261 1.290 0.123 0.204 P value 0.832 0.846 0.288 0.728 0.623 0.664 0.944 0.864 0.671 0.671 0.524 0.643 0.898 0.524 0.931 0.771 0.539 0.996 0.524 0.902 0.974 0.034 0.524 0.462 0.524 0.806 0.671 0.671 0.034 0.931 0.539 0.391 0.298 0.603 0.831 0.671 0.395 0.832 0.462 0.671 0.751 0.664 0.138 Parenting Beliefs Scale at time of interview Coeff. 7.000 3.400 7.000 3.667 4.500 1.667 4.429 2.548 2.000 -1.000 7.000 4.167 1.375 4.000 5.333 3.067 2.500 3.068 1.000 1.500 2.333 -4.000 7.000 -3.000 5.000 5.000 3.000 7.000 3.04e-13 1.333 3.05e-13 2.000 5.333 4.333 3.533 5.000 4.000 2.90e-13 7.000 3.000 3.222 0.667 2.000 261 0.964 0.540 0.160 P value 0.161 0.351 0.161 0.368 0.298 0.682 0.220 0.477 0.688 0.841 0.161 0.274 0.705 0.423 0.191 0.400 0.563 0.388 0.841 0.728 0.520 0.423 0.161 0.487 0.316 0.247 0.547 0.161 1.000 0.743 1.000 0.643 0.191 0.288 0.332 0.316 0.423 1.000 0.106 0.547 0.386 0.870 0.688 Exhibit A-2B. Relationships Between DHA Resident Characteristics and Census Tracts: Households with 2 Children P/C is single parent (1=yes, 0=no) Census Tract 2.0200 3.0100 4.0100 4.0200 5.0200 7.0100 7.0200 8.0000 9.0200 9.0300 9.0500 10.0000 11.0100 11.0200 13.0100 13.0200 14.0200 14.0300 15.0000 16.0000 18.0000 19.0000 21.0000 23.0000 24.0300 31.0100 35.0000 36.0100 36.0200 36.0300 37.0300 41.0100 41.0200 41.0300 41.0400 42.0100 42.0200 43.0100 43.0400 44.0300 44.0400 45.0100 45.0200 46.0200 47.0000 48.0200 50.0100 54.0000 55.0300 68.0900 69.0100 83.0300 85.3400 Coeff. -0.167 3.29e-15 3.00e-15 2.96e-15 2.89e-15 -0.500 -0.267 -0.250 -0.500 -0.500 -1.000 3.04e-15 3.71e-15 -0.500 -1.000 -1.000 -0.250 -1.000 2.81e-15 -0.278 3.47e-15 -0.277 2.93e-15 2.90e-15 -0.111 2.96e-15 -0.143 2.96e-15 2.97e-15 4.07e-15 2.96e-15 3.94e-15 2.91e-15 4.14e-15 2.95e-15 2.94e-15 -1.000 -1.000 -0.500 -0.500 2.96e-15 3.38e-15 -0.308 2.97e-15 2.94e-15 2.97e-15 -0.500 -0.250 -0.200 2.91e-15 2.96e-15 2.93e-15 2.92e-15 Observations F-Test p value Pseudo R ² 244 0.932 0.610 0.206 Note: P/C = Parent or Caregiver; reference group is Tract 1.0200 bold = p <.05 P value 0.601 1.000 1.000 1.000 1.000 0.231 0.396 0.419 0.231 0.167 0.051 1.000 1.000 0.231 0.051 0.051 0.489 0.051 1.000 0.372 1.000 0.359 1.000 1.000 0.733 1.000 0.669 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.051 0.051 0.231 0.231 1.000 1.000 0.332 1.000 1.000 1.000 0.231 0.448 0.567 1.000 1.000 1.000 1.000 P/C employment status at time of DHA move-in (1=employed, 0=not employed) Coeff. -0.583 -0.667 -3.72e-14 -3.71e-14 -0.500 -0.500 -0.733 -0.400 -0.500 -0.500 -3.64e-14 -0.250 -0.429 -0.500 -1.000 -1.000 -0.250 -3.61e-14 -5.000 -1.056 -0.667 -0.574 -1.000 -3.71e-14 -0.333 -3.70e-14 -0.286 -0.500 -0.500 -3.57e-14 -3.72e-14 -3.57e-14 -3.68e-14 -3.56e-14 -3.69e-14 -3.71e-14 -3.70e-14 -3.72e-14 -0.500 -3.71e-14 -3.72e-14 -0.143 -0.462 -1.000 -3.62e-14 -1.000 -0.500 -2.750 -0.200 -1.000 -3.59e-14 -1.000 -3.61e-14 244 0.861 0.735 0.194 P value 0.604 0.620 1.000 1.000 0.734 0.734 0.508 0.714 0.734 0.695 1.000 0.845 0.717 0.734 0.579 0.579 0.845 1.000 0.001 0.337 0.620 0.589 0.497 1.000 0.772 1.000 0.809 0.734 0.734 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.734 1.000 1.000 0.904 0.680 0.579 1.000 0.579 0.734 0.019 0.871 0.579 1.000 0.579 1.000 P/C hourly wage at time of DHA move-in Coeff. -12.13 -12.00 0.900 0.500 -7.750 -9.500 -13.97 -8.889 -18.50 -10.37 -1.250 -6.625 -8.190 -9.425 -18.50 -18.50 -4.398 8.500 -11.75 -10.96 -12.50 -6.530 -18.50 -5.075 -7.989 6.500 -2.757 -7.000 -8.000 0.333 1.100 -3.390 6.000 2.833 1.500 0.500 -0.480 -1.250 -8.250 2.375 -0.500 -3.214 -10.67 -18.50 -18.50 -18.50 -7.500 -9.937 -4.400 -18.50 9.500 -18.50 1.500 244 1.267 0.127 0.261 P value 0.086 0.154 0.936 0.965 0.400 0.303 0.045 0.194 0.046 0.194 0.912 0.406 0.268 0.306 0.102 0.102 0.581 0.451 0.203 0.111 0.138 0.326 0.046 0.524 0.268 0.564 0.709 0.447 0.385 0.968 0.922 0.687 0.595 0.736 0.894 0.965 0.966 0.912 0.370 0.796 0.965 0.663 0.128 0.102 0.102 0.102 0.415 0.173 0.568 0.102 0.400 0.102 0.894 P/C disability status at time of survey (1=yes; 0=no) Coeff. 0.0833 3.44e-15 3.01e-15 1.000 3.39e-15 0.500 0.133 0.100 3.40e-15 3.38e-15 3.41e-15 0.500 0.286 3.37e-15 3.13e-15 3.07e-15 3.12e-15 3.10e-15 0.500 0.111 3.38e-15 0.0638 3.35e-15 3.16e-15 0.333 3.11e-15 3.56e-15 3.10e-15 0.500 3.30e-15 3.07e-15 0.333 3.27e-15 3.26e-15 3.21e-15 3.14e-15 3.10e-15 1.000 0.500 3.08e-15 1.000 3.68e-15 0.154 3.15e-15 1.000 1.000 3.31e-15 3.24e-15 3.22e-15 3.29e-15 3.14e-15 3.13e-15 3.20e-15 244 1.555 0.0168 0.302 P value 0.722 1.000 1.000 0.008 1.000 0.104 0.564 0.660 1.000 1.000 1.000 0.061 0.246 1.000 1.000 1.000 1.000 1.000 0.104 0.627 1.000 0.773 1.000 1.000 0.165 1.000 1.000 1.000 0.104 1.000 1.000 0.235 1.000 1.000 1.000 1.000 1.000 0.008 0.104 1.000 0.008 1.000 0.509 1.000 0.008 0.008 1.000 1.000 1.000 1.000 1.000 1.000 1.000 P/C received TANF at P/C receiving Food time of DHA move-in Stamps at time of DHA (1=yes, 0=no) move-in (1=yes, 0=no) Coeff. 0.583 -1.59e-15 -8.42e-16 1.000 -1.27e-15 -8.29e-16 0.533 0.600 0.500 0.500 -1.48e-15 0.750 0.286 -1.16e-15 -6.77e-16 1.000 0.250 -6.14e-16 1.000 -2.09e-15 0.333 0.383 0.500 0.500 -0.667 1.000 0.286 0.500 0.500 -2.52e-15 -9.69e-16 0.333 -1.07e-15 0.333 -1.04e-15 -1.03e-15 -9.44e-16 1.000 0.500 -9.93e-16 1.000 0.286 0.538 1.000 -7.03e-16 -7.14e-16 0.500 -0.750 0.200 -1.19e-15 -6.83e-16 -1.07e-15 -7.22e-16 244 0.396 1.000 0.0994 P value 0.536 1.000 1.000 0.509 1.000 1.000 0.566 0.513 0.686 0.640 1.000 0.483 0.773 1.000 1.000 0.509 0.815 1.000 0.418 1.000 0.767 0.668 0.686 0.640 0.490 0.509 0.773 0.686 0.686 1.000 1.000 0.767 1.000 0.767 1.000 1.000 1.000 0.509 0.686 1.000 0.509 0.773 0.566 0.509 1.000 1.000 0.686 0.443 0.846 1.000 1.000 1.000 1.000 Coeff. 0.167 -0.167 -0.500 0.500 -2.82e-14 -2.83e-14 0.167 0.200 0.500 -2.82e-14 0.500 0.250 0.0714 0.500 0.500 0.500 -0.250 -0.500 -2.82e-14 0.222 -0.167 0.160 -2.81e-14 0.250 0.0556 0.500 0.0714 0.500 -2.83e-14 -3.167 -0.500 0.167 -0.500 0.167 0.500 0.500 0.500 -0.500 0.500 -0.500 0.500 -0.0714 0.192 0.500 -0.500 0.500 -2.85e-14 -1.250 0.1000 -0.500 0.500 0.500 -0.500 244 1.068 0.365 0.230 P value 0.825 0.854 0.680 0.680 1.000 1.000 0.823 0.785 0.613 1.000 0.680 0.770 0.928 0.613 0.680 0.680 0.770 0.680 1.000 0.763 0.854 0.823 1.000 0.770 0.943 0.680 0.928 0.613 1.000 0.001 0.680 0.854 0.680 0.854 0.680 0.680 0.680 0.680 0.613 0.613 0.680 0.928 0.798 0.680 0.680 0.680 1.000 0.111 0.904 0.680 0.680 0.680 0.680 P/C had checking account at time of DHA move-in (1=yes, 0=no) Coeff. -0.417 0.167 0.500 0.500 -0.500 -0.500 -0.300 -0.100 -0.500 0.250 -0.500 -0.500 0.0714 0.500 -0.500 -0.500 0.250 0.500 -5.000 -0.722 -0.167 -0.223 -0.500 0.250 -0.167 0.500 0.0714 -0.500 0.500 -0.500 0.500 -0.167 0.500 0.167 0.500 0.500 -0.500 -0.500 0.500 -0.500 0.500 -0.357 -0.346 -0.500 -0.500 0.500 -0.500 -2.500 0.1000 -0.500 -0.500 0.500 0.500 244 1.022 0.445 0.222 P value 0.700 0.897 0.773 0.773 0.724 0.724 0.778 0.924 0.724 0.838 0.773 0.683 0.950 0.724 0.773 0.773 0.838 0.773 0.001 0.494 0.897 0.827 0.724 0.838 0.880 0.773 0.950 0.724 0.724 0.699 0.773 0.897 0.773 0.897 0.773 0.773 0.773 0.773 0.724 0.724 0.773 0.753 0.748 0.773 0.773 0.773 0.724 0.026 0.933 0.773 0.773 0.773 0.773 P/C had health insurance at time of DHA move-in (1=yes, 0=no) Coeff. -0.417 -0.333 -1 2.87e-15 -0.500 -0.500 -0.267 -0.250 3.14e-15 -0.250 -1.000 -0.250 -0.143 2.93e-15 2.98e-15 2.91e-15 -0.250 -1.000 -5.000 -0.556 -0.333 -0.532 -0.500 -0.250 -0.333 2.91e-15 -0.286 -0.500 -0.500 -0.333 2.89e-15 -0.333 2.94e-15 2.60e-15 2.93e-15 2.87e-15 -1 2.88e-15 2.85e-15 -1.000 2.91e-15 -0.143 -0.0769 3.06e-15 2.88e-15 3.24e-15 -1.000 -2.500 -0.200 2.87e-15 3.21e-15 3.17e-15 3.21e-15 244 0.763 0.876 0.175 P value 0.714 0.806 0.584 1.000 0.737 0.737 0.812 0.821 1.000 0.846 0.584 0.846 0.905 1.000 1.000 1.000 0.846 0.584 0.001 0.617 0.806 0.621 0.737 0.846 0.775 1.000 0.811 0.737 0.737 0.806 1.000 0.806 1.000 1.000 1.000 1.000 0.584 1.000 1.000 0.502 1.000 0.905 0.946 1.000 1.000 1.000 0.502 0.035 0.873 1.000 1.000 1.000 1.000 Exhibit A-2B. Relationships Between DHA Resident Characteristics and Census Tracts: Households with 2 Children (cont.) P/C had too little money for food at time of DHA move-in (1=yes, 0=no) Census Tract 2.0200 3.0100 4.0100 4.0200 5.0200 7.0100 7.0200 8.0000 9.0200 9.0300 9.0500 10.0000 11.0100 11.0200 13.0100 13.0200 14.0200 14.0300 15.0000 16.0000 18.0000 19.0000 21.0000 23.0000 24.0300 31.0100 35.0000 36.0100 36.0200 36.0300 37.0300 41.0100 41.0200 41.0300 41.0400 42.0100 42.0200 43.0100 43.0400 44.0300 44.0400 45.0100 45.0200 46.0200 47.0000 48.0200 50.0100 54.0000 55.0300 68.0900 69.0100 83.0300 85.3400 Coeff. 0.0833 0.667 1.000 1.000 -4.02e-14 -4.11e-14 0.600 0.450 -4.04e-14 0.250 -4.02e-14 -4.13e-14 0.286 0.500 -4.06e-14 -4.07e-14 0.250 -4.06e-14 -4.500 -0.167 0.333 0.191 0.500 0.250 0.444 1.000 0.429 1.000 -4.06e-14 -4.11e-14 -4.11e-14 0.333 1.000 1.000 1.000 1.000 -4.09e-14 -4.10e-14 0.500 0.500 1.000 0.429 0.308 -4.05e-14 -4.07e-14 1.000 0.500 -1.875 0.800 -4.07e-14 -4.06e-14 1.000 -4.05e-14 Observations F-Test p value Pseudo R ² 244 0.923 0.625 0.205 Note: P/C = Parent or Caregiver; reference group is Tract 1.0200 bold = p <.05 P value 0.939 0.610 0.568 0.568 1.000 1.000 0.578 0.672 1.000 0.840 1.000 1.000 0.803 0.727 1.000 1.000 0.840 1.000 0.002 0.876 0.799 0.853 0.727 0.840 0.691 0.568 0.709 0.485 1.000 1.000 1.000 0.799 0.568 0.444 0.568 0.568 1.000 1.000 0.727 0.727 0.568 0.709 0.777 1.000 1.000 0.568 0.727 0.099 0.504 1.000 1.000 0.568 1.000 P/C had difficulty paying all bills at time of DHA move-in (1=yes, 0=no) Coeff. -1.833 0.500 0.500 -0.500 -0.500 0.500 0.0333 -0.200 0.500 -0.250 -0.500 -0.500 -0.214 -1.49e-15 -0.500 0.500 0.250 0.500 -5.000 -1.167 -3.500 -0.372 -4.500 -0.250 -0.278 0.500 0.214 -1.46e-15 -0.500 -0.500 0.500 0.167 -0.500 0.167 0.500 -0.500 -0.500 0.500 -1.48e-15 -1.33e-15 0.500 0.0714 -0.192 -0.500 0.500 0.500 -1.05e-15 -2.375 0.1000 -0.500 0.500 -0.500 0.500 244 0.908 0.653 0.202 P value 0.242 0.789 0.842 0.842 0.807 0.807 0.983 0.895 0.807 0.888 0.842 0.778 0.896 1.000 0.842 0.842 0.888 0.842 0.015 0.445 0.062 0.801 0.029 0.888 0.862 0.842 0.896 1.000 0.807 0.789 0.842 0.929 0.842 0.929 0.842 0.842 0.842 0.842 1.000 1.000 0.842 0.965 0.902 0.842 0.842 0.842 1.000 0.143 0.953 0.842 0.842 0.842 0.842 Frequency that P/C drank alcohol since becoming a parent Coeff. -1.250 -0.833 -1.500 -10.50 1.05e-13 1.500 -1.433 -2.350 -5.500 -3.750 0.500 0.500 -0.929 -1.500 -0.500 -1.500 -0.250 -0.500 1.05e-13 -0.111 -1.167 -0.968 -0.500 -0.500 -1.278 -1.500 -2.071 1.000 2.000 -1.167 2.500 -1.500 -1.500 -1.500 -1.500 -10.50 -1.500 -1.500 0.500 0.500 -1.500 -0.929 -1.500 -1.500 -10.50 2.500 -1.000 1.05e-13 -1.300 -0.500 -1.500 -0.500 0.500 244 1.389 0.0571 0.279 P value 0.536 0.730 0.643 0.001 1.000 0.570 0.471 0.231 0.038 0.102 0.877 0.827 0.661 0.570 0.877 0.643 0.913 0.877 1.000 0.955 0.629 0.612 0.850 0.827 0.536 0.643 0.329 0.705 0.449 0.629 0.440 0.534 0.643 0.534 0.643 0.001 0.643 0.643 0.850 0.850 0.643 0.661 0.455 0.643 0.001 0.440 0.705 1.000 0.556 0.877 0.643 0.877 0.877 Frequency that P/C smoked marijuana since becoming a parent Coeff. -0.333 0.500 -1.500 0.500 -1.500 -0.500 -1.567 -1.500 -1.000 -0.500 -1.500 2.000 -2.643 -1.500 -0.500 -1.500 0.250 -0.500 -1.000 -0.222 -1.500 -1.266 -1.500 -0.500 -0.389 -1.500 -2.214 -1.000 2.000 -1.167 -1.500 -1.500 4.500 -1.500 -1.500 -1.500 -1.500 -1.500 -5.500 -1.000 4.500 -1.214 -0.962 -1.500 0.500 -0.500 -1.000 -1.000 -1.300 -0.500 -1.500 -0.500 -0.500 244 0.952 0.572 0.210 P value 0.844 0.805 0.581 0.854 0.499 0.822 0.349 0.363 0.652 0.795 0.581 0.299 0.139 0.499 0.854 0.581 0.897 0.854 0.652 0.893 0.459 0.430 0.499 0.795 0.823 0.581 0.214 0.652 0.368 0.565 0.581 0.459 0.099 0.459 0.581 0.581 0.581 0.581 0.014 0.652 0.099 0.495 0.569 0.581 0.854 0.854 0.652 0.569 0.484 0.854 0.581 0.854 0.854 P/C ever seen a psychiatrist (1=yes, 0=no) Coeff. 0.500 0.667 1.000 1.000 -2.33e-14 0.500 0.400 0.300 0.500 -2.35e-14 1.000 1.000 0.571 -2.36e-14 -2.39e-14 1.000 0.250 -2.38e-14 0.500 0.333 0.667 0.468 -2.35e-14 0.250 0.333 1.000 0.429 1.000 1.000 0.333 -2.31e-14 0.667 1.000 0.667 1.000 1.000 -2.31e-14 1.000 1.000 -2.32e-14 -2.31e-14 0.143 0.385 1.000 -2.38e-14 -2.39e-14 -2.38e-14 0.500 0.400 1.000 -2.39e-14 1.000 -2.39e-14 244 1.127 0.277 0.239 P value 0.182 0.137 0.096 0.096 1.000 0.308 0.278 0.409 0.308 1.000 0.096 0.019 0.146 1.000 1.000 0.096 0.556 1.000 0.308 0.361 0.137 0.186 1.000 0.556 0.384 0.096 0.276 0.042 0.042 0.456 1.000 0.137 0.096 0.137 0.096 0.096 1.000 0.096 0.042 1.000 1.000 0.716 0.302 0.096 1.000 1.000 1.000 0.197 0.329 0.096 1.000 0.096 1.000 Number of years during childhood that P/C lived in public housing Coeff. 3.417 6.333 -2.52e-13 12.00 -2.66e-13 -2.52e-13 7.800 5.050 10.000 -2.66e-13 -2.70e-13 11.25 -2.93e-13 -2.64e-13 -2.52e-13 19.00 15.50 -2.52e-13 5.500 5.222 5.333 3.830 7.500 -2.57e-13 1.889 -2.55e-13 3.143 -2.56e-13 -2.62e-13 11.33 -2.53e-13 4.667 -2.62e-13 -2.88e-13 -2.58e-13 -2.56e-13 -2.55e-13 -2.54e-13 -2.54e-13 -2.54e-13 -2.53e-13 -2.90e-13 5.385 19.00* -2.51e-13 -2.53e-13 -2.68e-13 7.000 3.600 16.00 -2.52e-13 -2.56e-13 11.00 244 0.977 0.525 0.214 P value 0.562 0.369 1.000 0.205 1.000 1.000 0.181 0.378 0.196 1.000 1.000 0.094 1.000 1.000 1.000 0.046 0.021 1.000 0.476 0.365 0.450 0.492 0.332 1.000 0.754 1.000 0.612 1.000 1.000 0.109 1.000 0.508 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.359 0.046 1.000 1.000 1.000 0.252 0.577 0.092 1.000 1.000 0.245 Number of years during childhood that P/C lived in a home owned by parents Coeff. -0.333 -2.500 -9.500 12.50 -9.500 10.000 3.367 3.600 4.000 10.50 -9.500 -2.750 8.786 9.500 14.50 -9.500 -9.500 9.500 -9.500 2.000 -9.500 2.351 -9.500 9.000 4.389 15.50 5.214 4.000 2.000 -9.500 -9.500 3.833 9.500 1.167 4.500 7.500 -9.500 -9.500 9.500 -9.500 17.50 2.071 5.654 -9.500 -9.500 6.500 -9.500 3.500 0.300 -9.500 3.500 3.500 -9.500 244 0.847 0.758 0.191 P value 0.971 0.822 0.525 0.403 0.436 0.412 0.714 0.691 0.743 0.321 0.525 0.795 0.369 0.436 0.332 0.525 0.369 0.525 0.436 0.826 0.394 0.789 0.436 0.394 0.645 0.300 0.594 0.743 0.870 0.394 0.525 0.731 0.525 0.917 0.763 0.616 0.525 0.525 0.436 0.436 0.242 0.832 0.542 0.525 0.525 0.663 0.436 0.717 0.977 0.525 0.815 0.815 0.525 P/C born in the United States (1=yes; 0=no) Coeff. 0.333 0.167 0.500 0.500 0.500 -1.06e-14 0.433 0.300 0.500 -9.60e-15 0.500 0.500 0.214 -9.66e-15 0.500 0.500 0.500 0.500 0.500 0.389 0.500 0.351 0.500 0.500 0.389 0.500 0.0714 0.500 0.500 0.500 0.500 0.500 0.500 0.167 0.500 0.500 -0.500 0.500 0.500 0.500 0.500 0.500 0.269 0.500 0.500 0.500 0.500 0.375 0.300 0.500 0.500 0.500 0.500 244 0.649 0.967 0.153 P value 0.234 0.618 0.265 0.265 0.173 1.000 0.117 0.270 0.173 1.000 0.265 0.116 0.466 1.000 0.265 0.265 0.116 0.265 0.173 0.155 0.136 0.185 0.173 0.116 0.175 0.265 0.808 0.173 0.173 0.136 0.265 0.136 0.265 0.618 0.265 0.265 0.265 0.265 0.173 0.173 0.265 0.090 0.333 0.265 0.265 0.265 0.173 0.196 0.328 0.265 0.265 0.265 0.265 Spanish language interview (1=yes; 0=no) Coeff. -0.417 -0.167 -0.500 -0.500 -0.500 2.22e-14 -0.433 -0.400 -0.500 -0.250 -0.500 -0.500 -0.214 2.32e-14 -0.500 -0.500 -0.500 -0.500 -0.500 -0.444 -0.500 -0.479 -0.500 -0.500 -0.500 -0.500 -0.357 -0.500 -0.500 -0.500 -0.500 -0.500 -0.500 -0.500 -0.500 -0.500 0.500 -0.500 -0.500 -0.500 -0.500 -0.500 -0.500 -0.500 -0.500 -0.500 -0.500 -0.375 -0.500 -0.500 -0.500 -0.500 -0.500 244 1.016 0.456 0.221 P value 0.029 0.462 0.101 0.101 0.045 1.000 0.021 0.031 0.045 0.245 0.101 0.021 0.282 1.000 0.101 0.101 0.021 0.101 0.045 0.017 0.028 0.008 0.045 0.021 0.011 0.101 0.074 0.045 0.045 0.028 0.101 0.028 0.101 0.028 0.101 0.101 0.101 0.101 0.045 0.045 0.101 0.013 0.009 0.101 0.101 0.101 0.045 0.057 0.017 0.101 0.101 0.101 0.101 21 Exhibit A-2B. Relationships Between DHA Resident Characteristics and Census Tracts: Households with 2 Children (cont.) Census Tract 2.0200 3.0100 4.0100 4.0200 5.0200 7.0100 7.0200 8.0000 9.0200 9.0300 9.0500 10.0000 11.0100 11.0200 13.0100 13.0200 14.0200 14.0300 15.0000 16.0000 18.0000 19.0000 21.0000 23.0000 24.0300 31.0100 35.0000 36.0100 36.0200 36.0300 37.0300 41.0100 41.0200 41.0300 41.0400 42.0100 42.0200 43.0100 43.0400 44.0300 44.0400 45.0100 45.0200 46.0200 47.0000 48.0200 50.0100 54.0000 55.0300 68.0900 69.0100 83.0300 85.3400 Biological father always lived in household with child(ren) (1=yes; 0=no) Coeff. P value 1.27e-14 1.000 1.30e-14 1.000 1.42e-14 1.000 1.42e-14 1.000 1.34e-14 1.000 1.43e-14 1.000 0.133 0.616 0.100 0.703 0.500 0.158 0.250 0.414 1.000 0.022 1.45e-14 1.000 1.27e-14 1.000 0.500 0.158 1.43e-14 1.000 1.44e-14 1.000 0.500 0.103 1.000 0.022 1.30e-14 1.000 0.222 0.399 1.30e-14 1.000 0.149 0.559 1.35e-14 1.000 1.39e-14 1.000 1.23e-14 1.000 1.41e-14 1.000 0.143 0.614 0.500 0.158 1.37e-14 1.000 1.27e-14 1.000 1.42e-14 1.000 1.26e-14 1.000 1.37e-14 1.000 0.333 0.302 1.39e-14 1.000 1.40e-14 1.000 1.000 0.022 1.41e-14 1.000 0.500 0.158 1.41e-14 1.000 1.42e-14 1.000 0.143 0.614 0.154 0.566 1.42e-14 1.000 1.43e-14 1.000 1.000 0.022 0.500 0.158 0.250 0.371 0.400 0.177 1.37e-14 1.000 1.43e-14 1.000 1.000 0.022 1.43e-14 1.000 Coeff. -5.417 -2.167 -11.50 0.500 -6.000 4.000 -4.167 -8.650 -10.50 -1.000 3.500 -4.750 -4.357 3.500 11.50 -15.50 5.750 -2.500 -5.500 -5.611 -3.500 -5.585 3.000 -2.000 -0.389 -2.500 -4.000 2.500 -3.500 -2.500 12.50 -4.833 -3.500 -1.500 1.500 1.500 0.500 -9.500 -10.00 -0.500 4.500 1.214 -5.577 2.500 7.500 12.50 -1.500 -1.750 3.700 -8.500 -7.500 -5.500 -13.50 Observations F-Test p value Pseudo R ² 244 1.178 0.213 0.247 243 0.915 0.641 0.204 Note: P/C = Parent or Caregiver; reference group is Tract 1.0200 bold = p <.05 Parent's age at time of DHA move-in P value 0.433 0.793 0.300 0.964 0.507 0.658 0.541 0.198 0.246 0.898 0.752 0.544 0.548 0.699 0.300 0.163 0.463 0.821 0.543 0.405 0.672 0.393 0.740 0.798 0.956 0.821 0.588 0.782 0.699 0.762 0.260 0.558 0.752 0.856 0.892 0.892 0.964 0.391 0.269 0.956 0.685 0.867 0.417 0.821 0.498 0.260 0.868 0.807 0.625 0.443 0.498 0.620 0.224 P/C African American (1=yes; 0=no) Coeff. 0.250 3.63e-15 3.48e-15 1.000 4.86e-15 3.55e-15 0.133 0.250 4.95e-15 4.77e-15 4.46e-15 0.500 0.143 5.09e-15 6.17e-15 6.10e-15 0.250 1.000 1.000 0.833 2.69e-15 0.553 4.92e-15 1.000 0.778 1.000 0.714 1.000 1.000 0.667 1.000 1.000 1.000 1.000 1.000 1.000 3.37e-15 1.000 1.000 1.000 1.000 3.94e-15 0.538 5.87e-15 6.03e-15 5.90e-15 1.000 5.70e-15 0.200 1.000 1.000 1.000 5.95e-15 244 3.164 4.14e-09 0.469 P value 0.427 1.000 1.000 0.049 1.000 1.000 0.667 0.413 1.000 1.000 1.000 0.162 0.665 1.000 1.000 1.000 0.484 0.049 0.016 0.007 1.000 0.064 1.000 0.006 0.017 0.049 0.032 0.016 0.016 0.077 0.049 0.008 0.049 0.008 0.049 0.049 1.000 0.049 0.016 0.016 0.049 1.000 0.086 1.000 1.000 1.000 0.016 1.000 0.562 0.049 0.049 0.049 1.000 Parent have HS diploma at time of DHA move-in (1=yes; 0=no) Coeff. 0.167 0.333 3.52e-15 1.000 1.97e-15 3.54e-15 0.400 0.250 1.52e-15 0.500 1.61e-15 0.250 0.143 0.500 1.000 1.000 0.750 1.000 1.23e-15 0.389 5.80e-16 0.213 0.500 0.750 0.222 3.21e-15 0.143 0.500 0.500 1.000* 3.30e-15 0.333 2.52e-15 0.667 2.87e-15 3.13e-15 3.23e-15 3.31e-15 3.36e-15 0.500 3.43e-15 0.143 0.308 3.50e-15 3.65e-15 1.000 0.500 0.375 0.200 2.57e-15 3.64e-15 3.14e-15 1.000 244 1.044 0.406 0.226 P value 0.631 0.421 1.000 0.073 1.000 1.000 0.242 0.458 1.000 0.204 1.000 0.525 0.695 0.271 0.073 0.073 0.057 0.073 1.000 0.251 1.000 0.516 0.271 0.057 0.531 1.000 0.695 0.271 0.271 0.017 1.000 0.421 1.000 0.109 1.000 1.000 1.000 1.000 1.000 0.271 1.000 0.695 0.372 1.000 1.000 0.073 0.271 0.296 0.598 1.000 1.000 1.000 0.073 Parent have any higher education at time of DHA move-in (1=yes; 0=no) Coeff. -1.93e-14 0.333 -1.97e-14 -1.97e-14 -1.94e-14 -1.97e-14 0.133 0.1000 -1.94e-14 0.250 1.000 0.250 0.143 -1.94e-14 -1.98e-14 -1.98e-14 -1.98e-14 -1.98e-14 -1.92e-14 0.111 0.333 0.0851 -1.94e-14 -1.96e-14 0.111 1.000 0.143 0.500 0.500 -1.94e-14 -1.97e-14 0.333 -1.95e-14 -1.94e-14 1.000 -1.96e-14 -1.96e-14 -1.96e-14 -1.97e-14 -1.96e-14 -1.97e-14 0.286 -1.92e-14 -1.97e-14 -1.98e-14 -1.98e-14 -1.95e-14 -1.96e-14 -1.93e-14 -1.95e-14 1.000 -1.97e-14 -1.97e-14 244 1.173 0.219 0.247 P value 1.000 0.230 1.000 1.000 1.000 1.000 0.560 0.657 1.000 0.343 0.008 0.343 0.558 1.000 1.000 1.000 1.000 1.000 1.000 0.624 0.230 0.698 1.000 1.000 0.640 0.008 0.558 0.101 0.101 1.000 1.000 0.230 1.000 1.000 0.008 1.000 1.000 1.000 1.000 1.000 1.000 0.242 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.008 1.000 1.000 Kids share same biological dad (1=yes; 0=no) Coeff. -0.333 0.167 -0.500 -0.500 0.500 -0.500 0.0333 -0.200 -1.09e-15 -1.29e-15 -0.500 -0.250 0.0714 -1.28e-15 -0.500 -0.500 -1.46e-15 -0.500 -0.500 -0.278 -0.167 -0.138 -0.500 0.500 -0.0556 -0.500 0.0714 -0.500 -0.500 -0.167 0.500 0.167 0.500 -0.167 0.500 0.500 0.500 -0.500 -0.500 -1.17e-15 -0.500 0.0714 -0.192 0.500 -0.500 -0.500 -1.06e-15 -0.125 -0.100 -0.500 0.500 -0.500 0.500 244 0.964 0.549 0.212 P value 0.373 0.709 0.404 0.404 0.307 0.307 0.928 0.582 1.000 1.000 0.404 0.555 0.856 1.000 0.404 0.404 1.000 0.404 0.307 0.447 0.709 0.695 0.307 0.239 0.885 0.404 0.856 0.307 0.307 0.709 0.404 0.709 0.404 0.709 0.404 0.404 0.404 0.404 0.307 1.000 0.404 0.856 0.605 0.404 0.404 0.404 1.000 0.747 0.807 0.404 0.404 0.404 0.404 Parent Depressive Symptomatology Scale at time of interview Coeff. 7.750 10.33 5.000 3.000 -3.000 14.50 11.27 6.150 4.500 -3.750 27.00 14.25 1.429 12.50 8.000 7.000 1.250 1.000 4.000 4.167 2.333 5.915 4.500 8.250 5.889 -3.000 4.143 7.500 14.00 3.000 14.00 3.333 -3.000 -1.667 25.00 8.000 -5.000 11.00 4.500 -2.000 -4.000 2.429 4.923 13.00 4.000 5.000 -3.500 5.375 12.40 15.00 -1.000 -3.000 -5.000 244 1.045 0.404 0.226 P value 0.271 0.220 0.658 0.790 0.745 0.117 0.105 0.368 0.625 0.638 0.017 0.075 0.847 0.176 0.478 0.535 0.875 0.929 0.664 0.544 0.781 0.374 0.625 0.302 0.414 0.790 0.575 0.416 0.130 0.721 0.215 0.692 0.790 0.843 0.028 0.478 0.658 0.330 0.625 0.828 0.723 0.742 0.482 0.250 0.723 0.658 0.704 0.461 0.109 0.185 0.929 0.790 0.658 Parenting Efficacy Scale at time of interview Coeff. -0.750 1.667 -12.00 -3.000 0.500 0.500 -1.800 -0.600 9.63e-14 1.000 -1.000 -4.250 0.857 1.500 1.000 1.000 0.750 2.000 -4.000 -0.611 -1.667 -1.489 -2.500 -0.250 0.222 2.000 -3.286 -6.000 -5.000 -0.667 -2.000 -2.667 1.000 -0.667 -3.000 2.000 2.000 -8.000 -2.000 2.000 -3.000 -1.000 -1.308 -6.000 9.45e-14 2.000 1.500 -0.250 -2.400 2.000 -8.000 1.000 -6.000 244 1.033 0.426 0.224 P value 0.789 0.619 0.008 0.505 0.892 0.892 0.515 0.825 1.000 0.753 0.824 0.182 0.771 0.683 0.824 0.824 0.813 0.656 0.276 0.823 0.619 0.574 0.496 0.937 0.938 0.656 0.265 0.103 0.174 0.842 0.656 0.426 0.824 0.842 0.505 0.656 0.656 0.076 0.586 0.586 0.505 0.734 0.639 0.183 1.000 0.656 0.683 0.931 0.435 0.656 0.076 0.824 0.183 Parenting Beliefs Scale at time of interview Coeff. -1.750 1.000 -6.000 -1.000 -0.500 -0.500 0.933 -1.050 -1.500 0.250 -4.000 -1.000 1.143 -4.500 -2.000 -1.000 -4.250 -3.000 -3.500 -1.778 -0.333 -0.851 3.000 -5.750 -3.333 1.000 -5.286 -3.500 -3.000 -3.000 -2.000 -1.667 -4.000 -1.000 -4.000 -1.000 -12.00 -5.000 3.000 2.000 1.15e-13 0.571 -0.923 -5.000 2.000 1.11e-13 1.000 -0.750 -2.000 -1.000 3.000 3.000 1.000 244 1.066 0.369 0.229 P value 0.561 0.781 0.214 0.836 0.899 0.899 0.753 0.719 0.703 0.942 0.407 0.769 0.717 0.254 0.678 0.836 0.214 0.534 0.375 0.545 0.926 0.765 0.446 0.093 0.280 0.836 0.095 0.375 0.446 0.404 0.678 0.643 0.407 0.781 0.407 0.836 0.014 0.301 0.446 0.612 1.000 0.856 0.758 0.301 0.678 1.000 0.800 0.810 0.544 0.836 0.534 0.534 0.836 Exhibit A-2C. Relationships Between DHA Resident Characteristics and Census Tracts: Households with 3+ Children P/C is single parent (1=yes, 0=no) Census Tract 3.0100 5.0200 6.0000 7.0200 8.0000 9.0200 9.0300 9.0400 9.0500 10.0000 11.0100 11.0200 13.0100 14.0200 14.0300 15.0000 16.0000 19.0000 21.0000 23.0000 24.0300 35.0000 36.0100 36.0200 41.0100 41.0300 41.0400 42.0200 43.0400 44.0300 44.0400 45.0100 45.0200 46.0200 47.0000 48.0200 50.0100 2.0000 54.0000 55.0300 68.0900 83.1100 83.1200 119.0200 Coeff. 0.389 -0.611 0.389 0.0812 -0.0111 0.389 -0.111 0.139 0.389 0.264 0.189 0.389 0.389 0.103 -0.611 -0.111 0.158 0.124 0.389 0.389 0.189 0.189 0.389 0.0253 0.389 -0.111 0.389 0.389 0.389 0.389 0.389 -0.278 0.0556 0.389 0.389 0.389 -0.611 -0.611 0.0556 0.389 0.389 -0.111 0.389 0.389 Observations F-Test p value Pseudo R ² Note: P/C = Parent or Caregiver; reference group is Tract 2.0200 bold = p <.05 203 0.647 0.954 0.153 P value 0.268 0.206 0.421 0.635 0.946 0.421 0.751 0.593 0.268 0.187 0.427 0.268 0.421 0.622 0.206 0.669 0.356 0.365 0.421 0.268 0.427 0.427 0.421 0.888 0.136 0.751 0.268 0.421 0.421 0.421 0.421 0.344 0.772 0.421 0.421 0.421 0.206 0.206 0.772 0.421 0.421 0.751 0.421 0.421 P/C employment status at time of DHA move-in (1=employed, 0=not employed) Coeff. 0.556 0.556 -0.444 0.325 0.222 0.556 0.0556 0.306 0.556 0.0556 -0.0444 0.0556 0.556 0.413 -0.444 -0.194 -0.0598 -0.150 0.556 0.556 -2.044 0.356 0.556 -0.0808 0.306 0.556 0.556 -0.444 -0.444 -0.444 -0.444 -0.444 -1.111 -0.444 -0.444 0.556 -0.444 0.556 0.333 0.556 0.556 0.0556 0.556 0.556 203 0.628 0.964 0.149 P value 0.571 0.681 0.742 0.498 0.629 0.681 0.955 0.674 0.571 0.921 0.947 0.955 0.681 0.481 0.742 0.789 0.900 0.695 0.681 0.571 0.002 0.593 0.681 0.872 0.674 0.571 0.571 0.742 0.742 0.742 0.742 0.588 0.040 0.742 0.742 0.681 0.742 0.681 0.535 0.681 0.681 0.955 0.681 0.681 P/C hourly wage at time of DHA move-in Coeff. 8.686 6.401 -7.849 5.418 4.327 11.34 2.401 5.526 15.15 0.601 0.351 1.651 14.15 9.794 -7.849 -3.811 -1.580 2.824 16.15 10.15 -4.099 4.001 18.15 -0.548 2.929 17.15 12.90 -7.849 -7.849 -7.849 -7.849 -7.849 -1.768 -7.849 -7.849 10.25 -7.849 15.15 4.568 15.15 12.15 1.151 8.151 16.15 203 1.476 0.0433 0.291 P value 0.205 0.497 0.406 0.106 0.179 0.230 0.726 0.277 0.028 0.877 0.940 0.809 0.135 0.018 0.406 0.453 0.636 0.292 0.088 0.139 0.377 0.389 0.056 0.876 0.564 0.013 0.061 0.406 0.406 0.406 0.406 0.171 0.637 0.406 0.406 0.278 0.406 0.109 0.224 0.109 0.199 0.866 0.388 0.088 P/C disability status at time of survey (1=yes; 0=no) Coeff. -0.167 -0.167 -0.167 -0.0128 -0.167 -0.167 -0.167 -0.167 0.333 -0.167 -0.167 -0.167 0.833 -0.0238 -0.167 0.333 -0.0897 -0.0784 -0.167 -0.167 -0.167 0.0333 -0.167 0.0152 -0.167 -0.167 -0.167 -0.167 -0.167 -0.167 -0.167 -0.167 -0.0556 -0.167 -0.167 -0.167 -0.167 -0.167 -0.0556 -0.167 -0.167 -0.167 -0.167 -0.167 203 0.697 0.919 0.163 P value 0.460 0.592 0.592 0.907 0.117 0.592 0.460 0.320 0.141 0.196 0.277 0.460 0.008 0.860 0.592 0.048 0.416 0.375 0.592 0.460 0.277 0.828 0.592 0.896 0.320 0.460 0.460 0.592 0.592 0.592 0.592 0.378 0.653 0.592 0.592 0.592 0.592 0.592 0.653 0.592 0.592 0.460 0.592 0.592 P/C received TANF at time of DHA movein (1=yes, 0=no) Coeff. 0.111 0.611 0.611 0.150 -1.122 -0.389 -0.389 -0.389 0.611 0.111 0.211 0.611 0.611 0.183 0.611 -0.139 -0.697 -0.0948 0.611 -0.389 -0.189 0.211 -0.389 0.0657 0.111 -0.389 -0.389 0.611 0.611 0.611 -0.389 -0.389 -0.167 0.611 0.611 0.611 -0.389 -0.389 -0.167 0.611 -0.389 0.111 -0.389 -0.389 203 0.332 1.000 0.0847 P value 0.922 0.696 0.696 0.787 0.036 0.804 0.732 0.644 0.591 0.864 0.784 0.591 0.696 0.788 0.696 0.869 0.210 0.831 0.696 0.732 0.806 0.784 0.804 0.910 0.895 0.732 0.732 0.696 0.696 0.696 0.804 0.682 0.789 0.696 0.696 0.696 0.804 0.804 0.789 0.696 0.804 0.922 0.804 0.804 P/C receiving Food Stamps at time of DHA move-in (1=yes, 0=no) Coeff. 0.444 0.444 0.444 0.291 0.178 0.444 -0.556 -0.306 0.444 0.0694 0.244 0.444 0.444 0.159 0.444 -0.0556 0.0598 -0.232 -0.556 -0.0556 0.244 0.244 0.444 0.0808 -0.0556 -0.556 -0.0556 0.444 0.444 -0.556 -0.556 0.111 -0.111 0.444 -0.556 0.444 0.444 -0.556 7.63e-16 0.444 0.444 -0.0556 -0.556 -0.556 203 0.202 1.000 0.0532 P value 0.612 0.713 0.713 0.497 0.665 0.713 0.526 0.638 0.612 0.889 0.681 0.612 0.713 0.762 0.713 0.932 0.889 0.498 0.645 0.949 0.681 0.681 0.713 0.857 0.932 0.526 0.949 0.713 0.713 0.645 0.645 0.879 0.817 0.713 0.645 0.713 0.713 0.645 1.000 0.713 0.713 0.949 0.645 0.645 P/C had checking account at time of DHA move-in (1=yes, 0=no) Coeff. -0.167 -0.167 -0.167 0.141 0.433 -0.167 0.333 0.583 0.333 0.0833 -0.167 -0.167 0.833 0.405 -0.167 0.0833 -0.782 -0.0784 0.833 0.833 0.0333 0.0333 -0.167 0.379 0.0833 0.833 0.833 -0.167 0.833 -0.167 0.833 -0.167 -1.056 -0.167 0.833 0.833 0.833 0.833 0.611 0.833 0.833 0.333 -0.167 0.833 203 0.549 0.989 0.133 P value 0.864 0.901 0.901 0.766 0.341 0.901 0.731 0.418 0.731 0.880 0.800 0.864 0.533 0.485 0.901 0.908 0.100 0.836 0.533 0.391 0.960 0.960 0.901 0.447 0.908 0.391 0.391 0.901 0.533 0.901 0.533 0.837 0.048 0.901 0.533 0.533 0.533 0.533 0.251 0.533 0.533 0.731 0.901 0.533 P/C had health insurance at time of DHA move-in (1=yes, 0=no) Coeff. 0.278 0.278 0.278 0.0470 -0.122 0.278 -0.722 0.278 -0.722 0.0278 0.278 0.278 0.278 0.135 0.278 -0.472 -0.261 -0.310 0.278 -0.222 -0.122 0.0778 0.278 0.00505 -0.222 0.278 -0.222 0.278 0.278 -0.722 0.278 -0.0556 -1.278 0.278 0.278 0.278 0.278 -0.722 0.0556 0.278 0.278 -0.722 0.278 0.278 203 0.424 0.999 0.106 P value 0.744 0.813 0.813 0.910 0.759 0.813 0.396 0.659 0.396 0.954 0.630 0.744 0.813 0.791 0.813 0.454 0.530 0.351 0.813 0.794 0.832 0.893 0.813 0.991 0.724 0.744 0.794 0.813 0.813 0.538 0.813 0.938 0.007 0.813 0.813 0.813 0.813 0.538 0.905 0.813 0.813 0.396 0.813 0.813 Exhibit A-2C. Relationships Between DHA Resident Characteristics and Census Tracts: Households with 3+ Children (cont.) P/C had too little money for food at time of DHA move-in (1=yes, 0=no) Census Tract 3.0100 5.0200 6.0000 7.0200 8.0000 9.0200 9.0300 9.0400 9.0500 10.0000 11.0100 11.0200 13.0100 14.0200 14.0300 15.0000 16.0000 19.0000 21.0000 23.0000 24.0300 35.0000 36.0100 36.0200 41.0100 41.0300 41.0400 42.0200 43.0400 44.0300 44.0400 45.0100 45.0200 46.0200 47.0000 48.0200 50.0100 2.0000 54.0000 55.0300 68.0900 83.1100 83.1200 119.0200 Coeff. 0.722 -0.278 -0.278 0.261 0.389 0.722 0.222 -0.278 0.222 0.472 0.522 -0.278 0.722 -0.135 -0.278 -0.0278 0.261 -0.278 0.722 0.222 0.122 0.122 -0.278 -0.00505 0.222 -0.278 0.222 -0.278 -0.278 -0.278 -0.278 -0.278 -1.056 0.722 -0.278 -0.278 0.722 0.722 0.0556 -0.278 0.722 0.222 0.722 -0.278 Observations F-Test p value Pseudo R ² 203 0.511 0.995 0.124 Note: P/C = Parent or Caregiver; reference group is Tract 2.0200 bold = p <.05 P value 0.384 0.808 0.808 0.520 0.318 0.528 0.789 0.652 0.789 0.319 0.354 0.738 0.528 0.785 0.808 0.964 0.520 0.392 0.528 0.789 0.828 0.828 0.808 0.991 0.718 0.738 0.789 0.808 0.808 0.808 0.808 0.689 0.021 0.528 0.808 0.808 0.528 0.528 0.903 0.808 0.528 0.789 0.528 0.808 P/C had difficulty paying all bills at time of DHA movein (1=yes, 0=no) Coeff. 1.111 0.111 1.111 0.803 0.511 1.111 0.611 0.111 0.611 0.611 0.311 0.611 1.111 0.111 1.111 -4.139 -0.274 -0.0654 0.111 0.611 0.311 0.711 1.111 0.657 0.611 0.111 0.611 0.111 0.111 -8.889 0.111 -2.889 -1.667 1.111 0.111 0.111 1.111 0.111 0.556 0.111 1.111 0.111 1.111 0.111 203 1.359 0.0887 0.275 P value 0.461 0.957 0.593 0.276 0.470 0.593 0.685 0.921 0.685 0.477 0.761 0.685 0.593 0.902 0.593 0.000 0.710 0.912 0.957 0.685 0.761 0.487 0.593 0.397 0.585 0.941 0.685 0.957 0.957 0.000 0.957 0.023 0.045 0.593 0.957 0.957 0.593 0.957 0.501 0.957 0.593 0.941 0.593 0.957 Frequency that P/C drank alcohol since becoming a parent Coeff. 0.889 -0.111 -0.111 -0.419 0.222 1.889 0.389 2.639 -0.111 1.139 0.489 2.889 1.889 0.0317 -0.111 1.639 -0.188 0.0948 -0.111 -0.111 0.689 0.289 -0.111 -0.202 -2.111 -0.111 0.389 -0.111 -0.111 0.889 -0.111 -3.111 1.889 -0.111 -9.111 0.889 1.889 -0.111 -0.444 -0.111 0.889 0.389 0.889 1.889 203 0.876 0.690 0.196 P value 0.641 0.966 0.966 0.653 0.804 0.473 0.838 0.064 0.954 0.296 0.706 0.131 0.473 0.978 0.966 0.248 0.840 0.899 0.966 0.954 0.595 0.823 0.966 0.837 0.137 0.954 0.838 0.966 0.966 0.735 0.966 0.053 0.072 0.966 0.001 0.735 0.473 0.966 0.671 0.966 0.735 0.838 0.735 0.473 Frequency that P/C smoked marijuana since becoming a parent Coeff. -0.833 -0.833 -0.833 -1.372 -0.633 -0.833 -0.833 0.417 -0.833 -1.208 0.167 2.667 -9.833 -0.833 -0.833 -2.833 -1.218 -1.010 -0.833 -0.833 -0.633 0.567 -0.833 -1.015 0.167 -0.833 -0.333 -0.833 -0.833 2.167 -0.833 -3.833 0.389 -0.833 -0.833 -0.833 -9.833 -0.833 -1.056 -0.833 0.167 -0.333 0.167 0.167 203 1.061 0.386 0.228 P value 0.661 0.751 0.751 0.141 0.478 0.751 0.661 0.768 0.661 0.266 0.897 0.162 0.000 0.464 0.751 0.046 0.191 0.176 0.751 0.661 0.623 0.660 0.751 0.299 0.906 0.661 0.861 0.751 0.751 0.409 0.751 0.017 0.709 0.751 0.751 0.751 0.000 0.751 0.312 0.751 0.949 0.861 0.949 0.949 P/C ever seen a psychiatrist (1=yes, 0=no) Coeff. -1.77e-15 -0.500 -0.500 -0.269 -0.100 -0.500 -1.85e-15 -0.500 -0.500 -1.79e-15 -0.100 -1.59e-15 0.500 -0.0714 0.500 0.250 -0.269 -1.50e-15 0.500 -0.500 -0.300 0.1000 0.500 -0.136 -1.59e-15 -1.63e-15 -0.500 -0.500 0.500 -0.500 -0.500 -0.167 -0.167 -0.500 -0.500 -0.500 -0.500 -0.500 -0.0556 -0.500 0.500 0.500 0.500 -0.500 203 0.855 0.723 0.192 P value 1.000 0.331 0.331 0.140 0.567 0.331 1.000 0.072 0.181 1.000 0.692 1.000 0.331 0.748 0.331 0.366 0.140 1.000 0.331 0.181 0.236 0.692 0.331 0.476 1.000 1.000 0.181 0.331 0.331 0.331 0.331 0.593 0.414 0.331 0.331 0.331 0.331 0.331 0.785 0.331 0.331 0.181 0.331 0.331 Number of years Number of years during childhood that during childhood that P/C born in the United P/C lived in public P/C lived in a home States (1=yes; 0=no) housing owned by parents Coeff. 1.056 21.56 -5.444 -0.291 -2.911 -5.444 1.056 1.056 5.556 1.056 -5.444 2.056 -5.444 -5.444 15.56 4.056 2.940 -0.121 -5.444 -5.444 3.156 -3.044 -5.444 -2.263 -5.444 -5.444 -5.444 -5.444 -5.444 -5.444 -5.444 -5.444 -1.000 -5.444 18.56 6.556 -5.444 -5.444 0.222 -5.444 -5.444 -5.444 -5.444 -5.444 203 0.920 0.617 0.204 P value 0.865 0.012 0.524 0.923 0.317 0.524 0.865 0.818 0.370 0.765 0.196 0.740 0.524 0.143 0.070 0.378 0.332 0.960 0.524 0.380 0.453 0.469 0.524 0.477 0.237 0.380 0.380 0.524 0.524 0.524 0.524 0.294 0.768 0.524 0.031 0.443 0.524 0.524 0.948 0.524 0.524 0.380 0.524 0.524 Coeff. 0.333 -12.67 12.33 2.333 -1.733 14.33 8.333 -5.917 -7.667 -7.167 -3.467 -12.67 14.33 3.048 -12.67 6.333 -2.359 -1.196 -12.67 14.33 -1.067 -3.467 6.333 1.061 -5.917 14.33 0.833 14.33 -12.67 6.333 14.33 5.333 1.778 -12.67 -12.67 -12.67 14.33 14.33 7.667 14.33 -3.667 13.33 14.33 14.33 203 1.153 0.261 0.243 P value 0.969 0.292 0.304 0.583 0.671 0.233 0.339 0.360 0.379 0.150 0.557 0.147 0.233 0.558 0.292 0.327 0.579 0.725 0.292 0.101 0.857 0.557 0.597 0.812 0.360 0.101 0.924 0.233 0.292 0.597 0.233 0.464 0.709 0.292 0.292 0.292 0.233 0.233 0.109 0.233 0.760 0.127 0.233 0.233 Coeff. -0.222 0.278 -0.722 0.0470 0.144 -0.722 0.278 0.278 0.278 0.153 0.278 0.278 0.278 -0.151 0.278 0.278 0.278 0.131 -0.722 -0.222 0.278 0.278 0.278 0.0960 0.278 -0.222 0.278 0.278 0.278 0.278 0.278 -0.389 0.167 0.278 0.278 0.278 0.278 -0.722 0.278 0.278 0.278 -0.222 0.278 0.278 203 1.323 0.109 0.269 P value 0.400 0.445 0.048 0.715 0.244 0.048 0.293 0.157 0.293 0.310 0.122 0.293 0.445 0.339 0.445 0.157 0.032 0.206 0.048 0.400 0.122 0.122 0.445 0.479 0.157 0.400 0.293 0.445 0.445 0.445 0.445 0.079 0.249 0.445 0.445 0.445 0.445 0.048 0.056 0.445 0.445 0.400 0.445 0.445 Spanish language interview (1=yes; 0=no) Coeff. 0.278 -0.222 -0.222 -0.145 -0.222 -0.222 -0.222 -0.222 -0.222 -0.0972 -0.222 -0.222 -0.222 -0.222 -0.222 -0.222 -0.222 -0.134 -0.222 -0.222 -0.222 -0.222 -0.222 -0.131 -0.222 -0.222 -0.222 -0.222 -0.222 -0.222 -0.222 0.444 -0.222 -0.222 -0.222 -0.222 -0.222 -0.222 -0.222 -0.222 -0.222 0.278 -0.222 -0.222 203 0.989 0.500 0.216 P value 0.145 0.396 0.396 0.119 0.013 0.396 0.243 0.116 0.243 0.370 0.086 0.243 0.396 0.052 0.396 0.116 0.018 0.073 0.396 0.243 0.086 0.086 0.396 0.179 0.116 0.243 0.243 0.396 0.396 0.396 0.396 0.006 0.034 0.396 0.396 0.396 0.396 0.396 0.034 0.396 0.396 0.145 0.396 0.396 Exhibit A-2C. Relationships Between DHA Resident Characteristics and Census Tracts: Households with 3+ Children (cont.) Biological father always lived in household with child(ren) (1=yes; 0=no) Census Tract 3.0100 5.0200 6.0000 7.0200 8.0000 9.0200 9.0300 9.0400 9.0500 10.0000 11.0100 11.0200 13.0100 14.0200 14.0300 15.0000 16.0000 19.0000 21.0000 23.0000 24.0300 35.0000 36.0100 36.0200 41.0100 41.0300 41.0400 42.0200 43.0400 44.0300 44.0400 45.0100 45.0200 46.0200 47.0000 48.0200 50.0100 2.0000 54.0000 55.0300 68.0900 83.1100 83.1200 119.0200 Coeff. 0.833 -0.167 -0.167 0.0641 0.233 -0.167 0.333 0.333 -0.167 0.0833 0.0333 -0.167 -0.167 0.262 0.833 0.333 0.0641 0.0392 -0.167 -0.167 -0.167 0.0333 -0.167 0.0152 0.0833 0.333 -0.167 0.833 -0.167 -0.167 -0.167 0.500 0.167 0.833 -0.167 0.833 -0.167 0.833 -0.0556 0.833 0.833 0.333 0.833 0.833 Observations F-Test p value Pseudo R ² 203 1.179 0.231 0.247 Note: P/C = Parent or Caregiver; reference group is Tract 2.0200 bold = p <.05 P value 0.012 0.713 0.713 0.689 0.131 0.713 0.311 0.172 0.612 0.656 0.881 0.612 0.713 0.183 0.067 0.172 0.689 0.760 0.713 0.612 0.454 0.881 0.713 0.928 0.732 0.311 0.612 0.067 0.713 0.713 0.713 0.070 0.354 0.067 0.713 0.067 0.713 0.067 0.757 0.067 0.067 0.311 0.067 0.067 Parent have HS Parent have any Parent's age at time P/C African American diploma at time of higher education at of DHA move-in (1=yes; 0=no) DHA move-in (1=yes; time of DHA move-in 0=no) (1=yes; 0=no) Coeff. 0.833 7.333 1.333 2.872 2.200 7.333 5.833 -2.167 9.333 6.083 -0.667 1.833 1.333 4.905 7.333 4.583 -3.205 -0.225 11.33 -0.167 -2.067 -2.667 6.333 3.788 5.333 8.333 -1.167 -2.667 9.333 1.333 7.333 5.000 -4.667 -1.667 -0.667 2.333 2.333 8.333 4.667 11.33 1.333 -18.17 2.333 2.333 203 0.988 0.502 0.216 P value 0.895 0.399 0.878 0.351 0.457 0.399 0.355 0.643 0.140 0.092 0.876 0.771 0.878 0.194 0.399 0.328 0.299 0.927 0.193 0.979 0.629 0.533 0.466 0.243 0.255 0.187 0.853 0.759 0.284 0.878 0.399 0.344 0.178 0.848 0.939 0.788 0.788 0.338 0.178 0.193 0.878 0.004 0.788 0.788 Coeff. -0.111 -0.111 -0.111 0.274 0.489 -0.111 -0.111 -0.111 -0.111 0.264 -0.111 -0.111 -0.111 0.175 -0.111 0.889 0.889 0.418 -0.111 -0.111 0.889 0.489 0.889 0.434 0.889 0.889 0.889 0.889 0.889 0.889 0.889 -0.111 0.111 -0.111 -0.111 0.889 0.889 0.889 -4.56e-15 -0.111 0.889 0.389 0.889 -0.111 203 3.075 0.000000153 0.461 P value 0.719 0.794 0.794 0.072 0.001 0.794 0.719 0.628 0.719 0.136 0.596 0.719 0.794 0.345 0.794 0.000 0.000 0.001 0.794 0.719 0.000 0.021 0.038 0.007 0.000 0.005 0.005 0.038 0.038 0.038 0.038 0.668 0.512 0.794 0.794 0.038 0.038 0.038 1.000 0.794 0.038 0.210 0.038 0.794 Coeff. 0.167 -0.333 -0.333 -0.0256 4.61e-16 0.667 0.167 0.167 -0.333 0.167 0.0667 0.167 -0.333 0.0952 -0.333 0.167 0.0513 -0.0392 -0.333 -0.333 0.0667 -0.133 0.667 0.0303 0.167 0.167 0.167 0.667 0.667 -0.333 -0.333 -0.333 4.64e-16 -0.333 0.667 -0.333 -0.333 0.667 0.111 -0.333 -0.333 0.167 -0.333 -0.333 203 0.562 0.986 0.135 P value 0.657 0.520 0.520 0.889 1.000 0.199 0.657 0.549 0.375 0.436 0.793 0.657 0.520 0.671 0.520 0.549 0.780 0.789 0.520 0.375 0.793 0.601 0.199 0.875 0.549 0.657 0.657 0.199 0.199 0.520 0.520 0.289 1.000 0.520 0.199 0.520 0.520 0.199 0.589 0.520 0.520 0.657 0.520 0.520 Coeff. -0.0556 -0.0556 -0.0556 0.0983 -0.0556 -0.0556 -0.0556 0.444 -0.0556 -0.0556 -0.0556 0.444 -0.0556 -0.0556 -0.0556 -0.0556 -0.0556 0.0327 -0.0556 0.444 -0.0556 0.144 -0.0556 -0.0556 -0.0556 0.444 -0.0556 -0.0556 -0.0556 -0.0556 0.944 0.278 -0.0556 -0.0556 -0.0556 -0.0556 -0.0556 -0.0556 -0.0556 0.944 -0.0556 -0.0556 0.944 -0.0556 203 2.076 0.000555 0.366 P value 0.760 0.824 0.824 0.268 0.514 0.824 0.760 0.001 0.760 0.591 0.652 0.015 0.824 0.609 0.824 0.680 0.531 0.645 0.824 0.015 0.652 0.242 0.824 0.551 0.680 0.015 0.760 0.824 0.824 0.824 0.000 0.069 0.576 0.824 0.824 0.824 0.824 0.824 0.576 0.000 0.824 0.760 0.000 0.824 Kids share same biological dad (1=yes; 0=no) Coeff. -0.389 -0.389 -0.389 -0.0812 -0.122 -0.389 -0.389 -0.139 -0.389 -0.264 -0.189 0.111 0.611 0.468 0.611 -0.139 -0.158 -0.00654 -0.389 -0.389 -0.389 -0.389 0.611 -0.0253 0.111 0.111 -0.389 -0.389 -0.389 -0.389 0.611 0.278 0.0556 -0.389 0.611 -0.389 -0.389 0.611 -0.167 0.611 0.611 -0.389 -0.389 -0.389 203 1.168 0.242 0.245 P value 0.258 0.411 0.411 0.628 0.448 0.411 0.258 0.585 0.258 0.178 0.417 0.746 0.197 0.023 0.197 0.585 0.346 0.961 0.411 0.258 0.096 0.096 0.197 0.886 0.662 0.746 0.258 0.411 0.411 0.411 0.197 0.334 0.767 0.411 0.197 0.411 0.411 0.197 0.375 0.197 0.197 0.258 0.411 0.411 Parent Depressive Symptomatology Scale at time of interview Coeff. -2.222 -3.222 18.78 -3.607 1.844 -8.222 -2.222 -5.222 -2.222 4.778 -0.622 17.28 13.78 -3.937 1.778 9.028 0.932 -0.399 10.78 -6.222 -0.222 3.778 -4.222 0.141 -6.222 -9.722 4.278 -3.222 3.778 -7.222 -7.222 -5.222 -2.556 0.778 -7.222 -10.22 -4.222 -11.22 3.222 -11.22 18.78 -7.222 -8.222 7.778 203 1.035 0.425 0.224 P value 0.758 0.746 0.060 0.306 0.586 0.408 0.758 0.329 0.758 0.246 0.899 0.018 0.167 0.361 0.858 0.093 0.791 0.888 0.279 0.389 0.964 0.440 0.671 0.970 0.245 0.179 0.553 0.746 0.704 0.468 0.468 0.387 0.518 0.938 0.468 0.304 0.671 0.260 0.415 0.260 0.060 0.317 0.408 0.434 Parenting Efficacy Scale at time of interview Coeff. 1.333 3.333 -7.667 0.0256 -0.333 -0.667 2.333 0.0833 1.333 -1.667 2.133 0.333 -4.667 1.190 -0.667 -0.667 0.872 0.627 -2.667 1.833 0.933 0.733 -2.667 0.333 1.083 3.333 -0.667 3.333 3.333 -2.667 1.333 2.667 0.444 -9.667 1.333 2.333 1.333 3.333 -0.444 3.333 -5.667 -0.167 -2.667 3.333 203 1.021 0.448 0.221 P value 0.578 0.313 0.021 0.982 0.767 0.840 0.330 0.963 0.578 0.223 0.190 0.889 0.159 0.406 0.840 0.707 0.456 0.503 0.419 0.444 0.566 0.652 0.419 0.786 0.542 0.165 0.781 0.313 0.313 0.419 0.686 0.184 0.735 0.004 0.686 0.480 0.686 0.313 0.735 0.313 0.087 0.944 0.419 0.313 Parenting Beliefs Scale at time of interview Coeff. 1.444 -0.0556 -1.056 0.406 0.678 2.944 -4.056 2.194 -0.0556 0.319 2.544 1.944 2.944 1.087 -0.0556 -0.0556 0.0214 0.621 -1.056 1.444 0.544 3.144 1.944 2.308 2.194 -7.556 -5.056 -5.056 4.944 0.944 -5.056 -0.0556 -0.389 0.944 -1.056 2.944 -5.056 -5.056 3.389 4.944 -0.0556 -0.0556 1.944 1.944 203 0.954 0.559 0.210 P value 0.622 0.989 0.794 0.776 0.622 0.466 0.167 0.313 0.985 0.848 0.201 0.507 0.466 0.534 0.989 0.980 0.988 0.588 0.794 0.622 0.784 0.115 0.630 0.126 0.313 0.011 0.085 0.211 0.221 0.815 0.211 0.982 0.808 0.815 0.794 0.466 0.211 0.211 0.036 0.221 0.989 0.985 0.630 0.630 Relationships between Individual Characteristics and Neighborhood Characteristics Even if (as we have found) there were non-random assignments to DHA developments or neighborhoods on the basis of ethnic or disability status, it would not necessarily follow that there would be a strong relationship between these statuses and a wide variety of neighborhood characteristics. Thus, our third investigative strategy involves the use of continuously measured neighborhood characteristics instead of dummy variables to probe their potential systematic co-variation with characteristics of individual DHA families. Specifically, we employed the same individual characteristics as above and 12 characteristics of census tracts’ population and housing (percentages of: femaleheaded households, poor families and individuals, unemployed adults, those with only elementary school education, those with college degrees, employees in professional/technical occupations, non-Latino African American population, Latino population, foreign-born population, housing vacancy rate, homes built prior to 1940, homes that are owner-occupied) conventionally used in neighborhood effect studies. We employed multivariate regression (again stratified by family size) to estimate the statistical associations between 27 individual and 12 neighborhood characteristics. As before, a quasi-random assignment would be reflected in coefficients approximating zero and an insignificant F-test for the regression as a whole. Results are shown in Exhibit A-3A-C. Overall, of the 36 regressions, 26 exhibited insignificant F-tests. More convincingly, of the 972 regression estimates, 900 (92 percent) yielded coefficients that were statistically insignificant. Across the three familysize strata the percentages of insignificant coefficients were 91, 93 and 92, respectively, suggesting that generally the outcomes corresponded to quasi-random assignment. Further examination is required, however, to ascertain if there was any systematic sorting by a particular household characteristic as revealed by that characteristic garnering the bulk of the statistically significant coefficients. Exhibit A-3A. Relationships Between DHA Resident and Neighborhood Characteristics: Households with 0-1 Child Characteristics of DHA Resident Percent female Percent of residents Percent of residents Percent foreign born headed households 25+ with LT 9th 25+ with Bachelor's in neighborhood in neighborhood grade education degree or more Neighborhood poverty rate Percent Black residents in neighborhood Percent Hispanic residents in neighborhood Neighborhood unemployment rate Neighborhood vacancy rate Neighborhood Percent homes built homeownership before 1940 in rate neighborhood Coeff./OR P value Coeff./OR P value Coeff./OR P value Coeff./OR P value Coeff./OR P value Coeff./OR P value Coeff./OR P value Coeff./OR P value Coeff./OR P value Coeff./OR P value Coeff./OR P value P/C is single parent (1=yes, 0=no) P/C employment status at time of DHA move-in (1=employed, 0=not employed) P/C hourly wage at time of DHA move-in P/C disability status at time of survey (1=yes; 0=no) P/C received TANF at time of DHA move-in (1=yes, 0=no) P/C receiving Food Stamps at time of DHA move-in (1=yes, 0=no) P/C had checking account at time of DHA move-in (1=yes, 0=no) P/C had health insurance at time of DHA move-in (1=yes, 0=no) P/C had too little money for food at time of DHA move-in (1=yes, 0=no) P/C had difficulty paying all bills at time of DHA move-in (1=yes, 0=no) Frequency that P/C drank alcohol since becoming a parent Frequency that P/C smoked marijuana since becoming a parent P/C ever seen a psychiatrist (1=yes, 0=no) Number of years during childhood that P/C lived in public housing Number of years during childhood that P/C lived in a home owned by parents P/C born in the United States (1=yes; 0=no) Spanish language interview (1=yes; 0=no) Biological father always lived in household with child(ren) (1=yes; 0=no) Parent's age at time of DHA move-in Year that P/C moved into first randomly assigned unit P/C African American (1=yes; 0=no) Parent have HS diploma at time of DHA move-in (1=yes; 0=no) Parent have any higher education at time of DHA move-in (1=yes; 0=no) Kids share same biological dad (1=yes; 0=no) Parent Depressive Symptomatology Scale at time of interview Parenting Efficacy Scale at time of interview Parenting Beliefs Scale at time of interview Note: P/C = Parent or Caregiver; OR = odds ratios for dichotomous outcomes; all neighborhood characteristics measured at time of first DHA move-in N=265 bold = p<.05 1.011 0.991 0.100 0.992 1.016 1.002 0.992 0.999 0.996 0.990 -0.036 0.018 0.997 -0.072 -0.025 1.003 0.996 0.986 0.084 0.100 1.004 1.005 0.975 0.986 0.029 -0.130 -0.267 0.160 0.156 0.177 0.396 0.016 0.743 0.222 0.846 0.526 0.119 0.493 0.026 0.650 0.401 0.856 0.791 0.786 0.140 0.678 0.594 0.548 0.419 0.025 0.035 0.847 0.094 0.023 1.045 0.974 -0.111 0.964 1.049 1.012 0.960 0.975 0.993 0.990 0.113 0.011 1.008 -0.188 0.120 1.035 0.977 0.969 0.450 -0.407 0.979 1.007 0.971 0.953 0.355 -0.169 -0.002 0.007 0.067 0.356 0.050 0.003 0.405 0.005 0.139 0.654 0.477 0.158 0.425 0.610 0.149 0.581 0.145 0.485 0.106 0.137 0.149 0.137 0.661 0.160 0.004 0.116 0.179 0.991 0.975 1.005 0.049 1.033 0.969 0.986 1.028 1.012 1.003 1.009 -0.111 -0.002 0.998 0.276 -0.307 0.967 1.005 1.017 -0.332 0.098 1.016 0.993 1.016 1.040 -0.223 0.070 -0.124 0.023 0.652 0.664 0.005 0.017 0.159 0.010 0.333 0.760 0.363 0.131 0.871 0.883 0.010 0.107 0.015 0.827 0.186 0.247 0.722 0.126 0.507 0.260 0.008 0.303 0.561 0.522 1.028 0.993 0.033 1.008 0.970 0.997 1.005 0.978 1.001 1.029 0.033 -0.015 1.008 0.024 0.061 1.032 0.988 0.995 -0.132 0.341 1.005 1.002 1.062 1.033 0.238 0.027 0.154 0.098 0.575 0.733 0.631 0.043 0.807 0.715 0.142 0.946 0.038 0.615 0.163 0.569 0.824 0.721 0.227 0.730 0.774 0.595 0.118 0.692 0.858 0.001 0.038 0.183 0.794 0.340 1.015 0.993 -0.053 0.990 1.026 1.007 0.988 0.996 0.994 0.992 0.003 0.014 0.998 -0.187 0.142 1.001 0.994 0.991 -0.004 -0.149 1.000 1.006 0.977 0.979 0.068 -0.096 -0.028 0.064 0.249 0.486 0.280 0.000 0.311 0.064 0.633 0.377 0.223 0.949 0.095 0.774 0.011 0.290 0.928 0.717 0.353 0.985 0.419 0.990 0.406 0.030 0.003 0.652 0.229 0.834 1.012 1.005 0.014 1.013 1.009 0.998 1.011 1.016 1.005 0.984 -0.015 0.007 1.009 0.058 -0.108 0.998 1.008 0.990 0.057 0.014 1.056 0.992 1.011 0.998 -0.035 -0.043 -0.109 0.276 0.512 0.743 0.195 0.275 0.833 0.190 0.144 0.511 0.080 0.605 0.129 0.250 0.197 0.129 0.876 0.656 0.448 0.603 0.891 0.000 0.365 0.323 0.782 0.669 0.330 0.106 1.012 0.991 0.001 0.982 1.007 1.002 0.986 0.987 0.994 1.003 0.031 -0.005 1.002 -0.061 0.075 1.017 1.000 0.992 0.041 0.001 0.978 1.010 0.990 0.990 0.101 0.008 0.065 0.082 0.162 0.973 0.019 0.293 0.799 0.024 0.092 0.363 0.587 0.272 0.298 0.755 0.183 0.317 0.077 0.985 0.339 0.714 0.989 0.001 0.160 0.264 0.158 0.211 0.860 0.367 1.010 1.013 -0.155 0.953 1.069 1.030 0.992 1.007 0.975 0.989 0.012 0.008 0.993 -0.238 0.329 0.975 1.023 1.007 -0.224 0.157 0.989 1.034 0.938 0.946 0.126 -0.070 0.283 0.663 0.482 0.304 0.066 0.001 0.115 0.682 0.731 0.208 0.551 0.910 0.668 0.717 0.147 0.217 0.431 0.614 0.795 0.577 0.676 0.559 0.093 0.034 0.007 0.678 0.672 0.275 1.022 1.015 -0.230 1.020 1.175 1.051 0.947 1.035 1.009 0.934 0.045 0.028 1.052 -0.147 -0.155 0.972 1.007 0.985 0.220 -0.906 1.033 0.999 0.859 0.893 -0.086 -0.118 -0.132 0.465 0.561 0.057 0.562 0.000 0.060 0.042 0.251 0.747 0.013 0.616 0.049 0.051 0.309 0.507 0.489 0.910 0.673 0.521 0.000 0.203 0.956 0.003 0.000 0.741 0.398 0.561 0.985 1.006 -0.006 0.997 0.984 0.998 1.005 1.005 1.004 1.002 0.021 -0.008 1.002 0.082 -0.064 1.004 1.009 1.009 0.079 -0.023 0.994 0.995 1.010 1.008 -0.115 0.075 0.040 0.022 0.277 0.897 0.699 0.009 0.671 0.339 0.448 0.450 0.733 0.510 0.148 0.781 0.095 0.437 0.699 0.486 0.263 0.517 0.838 0.273 0.377 0.251 0.178 0.194 0.113 0.622 0.997 1.007 -0.016 1.015 1.016 1.005 1.005 1.011 0.997 0.991 0.039 0.003 1.012 -0.081 -0.029 0.993 1.022 1.006 0.030 -0.109 1.008 1.010 0.990 1.001 0.002 -0.001 -0.023 0.695 0.280 0.724 0.107 0.029 0.505 0.492 0.146 0.626 0.215 0.206 0.585 0.092 0.097 0.730 0.538 0.215 0.545 0.804 0.327 0.215 0.155 0.337 0.855 0.984 0.984 0.778 Exhibit A-3B. Relationships Between DHA Resident and Neighborhood Characteristics: Households with 2 Children Characteristics of DHA Resident P/C is single parent (1=yes, 0=no) P/C employment status at time of DHA move-in (1=employed, 0=not employed) P/C hourly wage at time of DHA move-in P/C disability status at time of survey (1=yes; 0=no) P/C received TANF at time of DHA move-in (1=yes, 0=no) P/C receiving Food Stamps at time of DHA move-in (1=yes, 0=no) P/C had checking account at time of DHA move-in (1=yes, 0=no) P/C had health insurance at time of DHA move-in (1=yes, 0=no) P/C had too little money for food at time of DHA move-in (1=yes, 0=no) P/C had difficulty paying all bills at time of DHA move-in (1=yes, 0=no) Frequency that P/C drank alcohol since becoming a parent Frequency that P/C smoked marijuana since becoming a parent P/C ever seen a psychiatrist (1=yes, 0=no) Number of years during childhood that P/C lived in public housing Number of years during childhood that P/C lived in a home owned by parents P/C born in the United States (1=yes; 0=no) Spanish language interview (1=yes; 0=no) Biological father always lived in household with child(ren) (1=yes; 0=no) Parent's age at time of DHA move-in Year that P/C moved into first randomly assigned unit P/C African American (1=yes; 0=no) Parent have HS diploma at time of DHA move-in (1=yes; 0=no) Parent have any higher education at time of DHA move-in (1=yes; 0=no) Kids share same biological dad (1=yes; 0=no) Parent Depressive Symptomatology Scale at time of interview Parenting Efficacy Scale at time of interview Parenting Beliefs Scale at time of interview Note: P/C = Parent or Caregiver; OR = odds ratios for dichotomous outcomes; all neighborhood characteristics measured at time of first DHA move-in N=216 bold = p<.05 Percent female Percent of residents Percent of residents Percent foreign born Neighborhood poverty headed households 25+ with LT 9th grade 25+ with Bachelor's in neighborhood rate in neighborhood education degree or more Percent Black residents in neighborhood Percent Hispanic residents in neighborhood Neighborhood unemployment rate Neighborhood vacancy rate Neighborhood homeownership rate Percent homes built before 1940 in neighborhood Coeff./OR P value Coeff./OR P value Coeff./OR P value Coeff./OR P value Coeff./OR P value Coeff./OR P value Coeff./OR P value Coeff./OR P value Coeff./OR P value Coeff./OR P value Coeff./OR P value 1.003 0.754 1.001 0.960 1.005 0.721 1.011 0.508 0.997 0.713 1.019 0.090 0.997 0.746 0.982 0.467 0.984 0.586 1.003 0.728 1.003 0.692 1.007 0.316 0.965 0.023 1.018 0.157 0.970 0.018 0.997 0.629 1.032 0.001 0.979 0.003 0.987 0.547 0.993 0.792 1.007 0.231 1.001 0.906 -0.067 0.630 0.120 0.542 -0.558 0.454 0.027 0.841 0.004 0.981 -0.124 0.007 0.103 0.204 0.177 0.576 0.709 0.234 0.070 0.447 0.120 0.271 1.004 0.671 1.007 0.747 1.008 0.616 0.992 0.698 1.007 0.524 1.007 0.454 0.996 0.687 0.988 0.688 1.042 0.240 0.986 0.134 0.991 0.370 1.016 0.023 1.048 0.003 0.960 0.005 0.996 0.738 1.025 0.001 0.997 0.653 1.013 0.045 1.064 0.004 1.081 0.002 0.985 0.018 1.000 0.962 1.009 0.231 1.005 0.726 0.992 0.503 1.002 0.857 1.010 0.162 1.010 0.199 1.002 0.815 1.034 0.121 1.011 0.662 0.994 0.299 1.003 0.619 1.002 0.793 0.958 0.007 1.024 0.040 0.970 0.029 0.996 0.546 1.013 0.076 0.980 0.002 0.978 0.313 0.988 0.640 1.003 0.671 1.004 0.519 0.992 0.304 0.997 0.854 0.997 0.787 0.992 0.559 0.996 0.585 1.001 0.898 0.995 0.487 0.990 0.665 1.057 0.083 1.004 0.573 0.992 0.268 1.008 0.269 0.984 0.294 1.014 0.226 0.998 0.851 1.007 0.344 1.016 0.028 0.988 0.056 1.022 0.311 1.010 0.702 0.992 0.172 1.001 0.906 0.992 0.234 0.961 0.010 1.013 0.252 1.002 0.894 0.989 0.141 0.995 0.531 0.988 0.054 0.985 0.487 0.945 0.036 1.003 0.579 0.994 0.371 -0.063 0.374 0.122 0.192 -0.565 0.079 0.057 0.408 -0.041 0.619 -0.026 0.534 0.050 0.267 -0.070 0.686 -0.002 0.995 0.058 0.199 0.021 0.753 -0.044 0.565 0.148 0.094 -0.642 0.028 0.077 0.251 -0.015 0.868 -0.019 0.657 0.058 0.198 -0.029 0.874 -0.107 0.777 0.042 0.404 0.035 0.602 0.998 0.806 0.991 0.544 1.006 0.616 0.998 0.851 0.998 0.755 1.006 0.403 0.997 0.602 1.004 0.865 0.992 0.743 1.005 0.445 0.999 0.932 -0.301 0.287 -0.468 0.238 1.648 0.293 -0.327 0.212 -0.453 0.092 -0.048 0.787 -0.173 0.373 -0.761 0.225 1.291 0.353 0.217 0.257 -0.298 0.203 -0.415 0.038 0.123 0.764 0.612 0.697 0.109 0.691 -0.349 0.201 -0.126 0.406 0.080 0.672 -0.260 0.689 -0.051 0.971 0.146 0.434 -0.103 0.676 1.007 0.494 0.993 0.754 1.000 0.987 1.012 0.528 1.005 0.633 1.018 0.176 0.991 0.351 1.010 0.727 1.011 0.763 0.993 0.420 0.989 0.221 0.973 0.095 1.026 0.408 1.001 0.958 1.007 0.776 0.984 0.280 0.942 0.065 1.019 0.197 0.961 0.346 0.996 0.935 1.009 0.438 1.022 0.103 0.981 0.070 0.971 0.155 1.011 0.447 0.984 0.392 0.988 0.220 0.993 0.523 0.989 0.185 0.987 0.654 1.017 0.617 1.014 0.090 0.991 0.341 0.157 0.424 -0.345 0.169 0.570 0.613 -0.273 0.069 0.081 0.722 -0.021 0.855 -0.102 0.439 0.083 0.863 1.304 0.093 -0.007 0.959 0.018 0.921 0.163 0.472 0.296 0.347 -0.591 0.649 0.262 0.176 0.244 0.307 0.100 0.433 0.073 0.641 0.375 0.471 -1.595 0.055 -0.185 0.184 0.101 0.617 1.016 0.025 0.968 0.032 1.024 0.042 0.983 0.172 1.009 0.211 1.097 0.000 0.969 0.000 1.041 0.052 1.066 0.011 0.998 0.678 1.025 0.000 0.994 0.403 0.992 0.625 0.999 0.926 1.007 0.601 0.993 0.375 1.016 0.028 0.990 0.154 0.980 0.365 1.001 0.981 1.009 0.190 1.001 0.931 1.000 0.986 1.022 0.375 0.997 0.881 1.052 0.005 0.995 0.680 1.012 0.239 1.009 0.384 0.980 0.539 0.914 0.066 0.999 0.895 1.002 0.863 1.000 0.979 0.997 0.839 1.008 0.465 1.009 0.473 0.995 0.465 1.007 0.337 0.999 0.932 0.977 0.283 0.989 0.657 1.002 0.793 1.006 0.346 0.025 0.951 -0.219 0.704 2.283 0.250 -0.055 0.889 0.130 0.770 -0.135 0.543 0.012 0.964 0.782 0.363 0.520 0.789 -0.193 0.467 0.104 0.766 -0.029 0.656 0.096 0.258 -0.533 0.038 0.042 0.498 -0.018 0.808 -0.010 0.791 0.035 0.398 -0.062 0.682 -0.020 0.950 0.043 0.307 0.018 0.748 -0.014 0.913 -0.019 0.919 -0.277 0.699 -0.068 0.580 0.007 0.961 -0.095 0.104 0.041 0.634 0.102 0.732 0.928 0.025 0.064 0.455 0.081 0.450 Exhibit A-3C. Relationships Between DHA Resident and Neighborhood Characteristics: Households with 3+ Children Characteristics of DHA Resident P/C is single parent (1=yes, 0=no) P/C employment status at time of DHA move-in (1=employed, 0=not employed) P/C hourly wage at time of DHA move-in P/C disability status at time of survey (1=yes; 0=no) P/C received TANF at time of DHA move-in (1=yes, 0=no) P/C receiving Food Stamps at time of DHA move-in (1=yes, 0=no) P/C had checking account at time of DHA move-in (1=yes, 0=no) P/C had health insurance at time of DHA move-in (1=yes, 0=no) P/C had too little money for food at time of DHA move-in (1=yes, 0=no) P/C had difficulty paying all bills at time of DHA move-in (1=yes, 0=no) Frequency that P/C drank alcohol since becoming a parent Frequency that P/C smoked marijuana since becoming a parent P/C ever seen a psychiatrist (1=yes, 0=no) Number of years during childhood that P/C lived in public housing Number of years during childhood that P/C lived in a home owned by parents P/C born in the United States (1=yes; 0=no) Spanish language interview (1=yes; 0=no) Biological father always lived in household with child(ren) (1=yes; 0=no) Parent's age at time of DHA move-in Year that P/C moved into first randomly assigned unit P/C African American (1=yes; 0=no) Parent have HS diploma at time of DHA move-in (1=yes; 0=no) Parent have any higher education at time of DHA move-in (1=yes; 0=no) Kids share same biological dad (1=yes; 0=no) Parent Depressive Symptomatology Scale at time of interview Parenting Efficacy Scale at time of interview Parenting Beliefs Scale at time of interview Note: P/C = Parent or Caregiver; OR = odds ratios for dichotomous outcomes; all neighborhood characteristics measured at time of first DHA move-in N=265 bold = p<.05 Percent female Percent of residents Percent of residents Percent foreign born Neighborhood poverty headed households 25+ with LT 9th grade 25+ with Bachelor's in neighborhood rate in neighborhood education degree or more Percent Black residents in neighborhood Percent Hispanic residents in neighborhood Neighborhood unemployment rate Neighborhood vacancy rate Neighborhood homeownership rate Percent homes built before 1940 in neighborhood Coeff./OR P value Coeff./OR P value Coeff./OR P value Coeff./OR P value Coeff./OR P value Coeff./OR P value Coeff./OR P value Coeff./OR P value Coeff./OR P value Coeff./OR P value Coeff./OR P value 1.002 0.807 0.997 0.864 0.997 0.872 1.007 0.644 0.999 0.936 1.010 0.240 0.999 0.886 0.996 0.884 1.013 0.679 0.999 0.917 1.002 0.767 0.996 0.621 1.006 0.757 0.997 0.816 1.028 0.056 0.994 0.418 1.002 0.803 1.001 0.875 0.970 0.177 0.928 0.013 0.999 0.852 0.995 0.466 -0.054 0.562 0.127 0.579 -0.315 0.428 0.125 0.215 -0.060 0.469 -0.098 0.519 0.115 0.113 -0.110 0.633 -0.322 0.148 0.059 0.368 0.023 0.765 0.992 0.530 1.045 0.174 0.952 0.215 1.001 0.960 0.999 0.911 0.990 0.456 1.016 0.245 1.035 0.334 1.033 0.466 1.010 0.364 1.014 0.235 1.004 0.557 1.010 0.578 1.004 0.773 0.984 0.244 1.012 0.130 0.991 0.218 1.004 0.585 1.035 0.128 1.030 0.298 0.991 0.204 1.003 0.724 1.010 0.238 1.025 0.191 0.995 0.732 1.008 0.587 1.016 0.070 0.992 0.267 1.010 0.198 1.047 0.060 0.969 0.292 0.985 0.036 1.011 0.154 0.999 0.888 0.952 0.010 1.034 0.037 0.993 0.613 0.991 0.279 1.012 0.100 0.977 0.002 0.960 0.088 0.928 0.020 1.003 0.647 0.982 0.018 0.992 0.336 0.994 0.742 1.028 0.155 1.034 0.033 0.991 0.261 0.990 0.160 1.008 0.274 0.973 0.249 0.911 0.003 1.001 0.862 1.001 0.943 1.004 0.600 1.011 0.554 1.000 0.985 0.990 0.480 1.005 0.535 0.999 0.858 0.997 0.720 1.002 0.930 1.000 0.995 0.995 0.481 0.997 0.722 1.000 0.990 1.015 0.431 0.986 0.388 1.022 0.118 0.998 0.782 1.003 0.698 1.003 0.673 1.007 0.758 0.954 0.125 0.996 0.593 1.001 0.846 -0.003 0.905 -0.004 0.936 -0.028 0.761 -0.009 0.709 -0.001 0.979 -0.015 0.663 0.009 0.592 0.031 0.556 -0.007 0.889 0.005 0.717 0.001 0.946 0.008 0.225 -0.019 0.243 0.003 0.926 -0.004 0.644 0.005 0.371 0.008 0.485 -0.002 0.744 0.023 0.149 -0.004 0.828 -0.004 0.380 0.002 0.677 1.000 0.990 1.006 0.729 0.975 0.137 0.974 0.061 1.004 0.637 0.997 0.649 1.003 0.639 1.028 0.223 1.028 0.324 1.003 0.692 0.999 0.925 -0.017 0.867 -0.316 0.175 0.657 0.099 -0.245 0.009 -0.011 0.906 0.014 0.931 -0.143 0.056 -0.017 0.946 0.236 0.332 0.037 0.594 0.033 0.684 0.058 0.500 -0.213 0.310 -0.070 0.854 0.075 0.437 0.033 0.673 -0.076 0.595 -0.001 0.989 0.063 0.770 -0.283 0.177 -0.084 0.158 -0.129 0.049 1.008 0.478 1.016 0.520 0.981 0.249 0.988 0.491 1.011 0.352 1.003 0.784 0.998 0.860 1.018 0.564 1.081 0.086 0.986 0.142 1.003 0.753 0.995 0.770 0.983 0.623 0.996 0.890 0.987 0.642 0.988 0.467 0.988 0.498 1.014 0.388 1.015 0.734 0.953 0.441 1.021 0.155 1.004 0.776 0.985 0.088 0.961 0.047 1.020 0.189 0.988 0.444 0.983 0.065 0.991 0.284 0.986 0.068 0.944 0.027 0.963 0.251 1.010 0.210 0.980 0.014 -0.523 0.024 0.577 0.364 -0.622 0.582 0.516 0.055 -0.417 0.052 -0.933 0.011 0.301 0.145 -1.267 0.029 -1.362 0.018 0.212 0.241 -0.288 0.164 -0.171 0.193 0.118 0.726 -0.611 0.289 0.422 0.000 -0.154 0.194 -0.306 0.152 0.236 0.017 -0.296 0.376 -0.721 0.016 0.063 0.517 -0.077 0.494 1.026 0.001 0.975 0.153 1.020 0.193 0.966 0.016 1.023 0.004 1.053 0.000 0.967 0.000 1.064 0.007 1.097 0.002 0.986 0.041 1.013 0.076 0.990 0.192 0.973 0.146 1.040 0.015 1.002 0.897 0.987 0.112 0.999 0.855 0.995 0.541 0.979 0.363 0.938 0.042 1.012 0.102 1.004 0.539 0.974 0.123 0.994 0.859 1.017 0.444 1.038 0.113 0.979 0.195 1.011 0.367 0.996 0.780 0.957 0.324 0.957 0.445 1.008 0.553 1.004 0.782 0.989 0.167 0.976 0.205 1.003 0.821 1.019 0.183 0.991 0.263 0.995 0.508 1.000 0.990 0.989 0.626 0.929 0.024 1.008 0.279 0.992 0.273 -0.164 0.245 -0.228 0.522 -0.044 0.945 0.127 0.432 -0.162 0.197 -0.208 0.376 -0.043 0.719 -0.600 0.072 -0.491 0.159 0.063 0.544 -0.121 0.305 0.000 0.995 0.017 0.909 -0.050 0.846 -0.011 0.866 -0.009 0.866 0.122 0.192 -0.010 0.839 0.030 0.838 0.144 0.324 0.034 0.421 0.101 0.018 -0.121 0.119 -0.314 0.099 0.646 0.045 0.028 0.762 -0.123 0.073 -0.188 0.143 -0.018 0.796 -0.144 0.478 -0.249 0.213 0.069 0.228 0.034 0.616 29 Only two individual characteristics had a frequency of statistically significant coefficients that were greater than average: African-American DHA tenant (15 percent) and household wages (14 percent). It is noteworthy that although disability status generated a non-random assignment to particular developments due to DHA rules (as shown in Exhibit A-1) this apparently did not produce a strong association with particular neighborhood characteristics because the locations where the disabled were assigned evinced considerable variation. Of course, geographic selection bias arises to the extent that individual household characteristics that are not observed (or controlled statistically) are correlated with both neighborhood characteristics and child outcomes. In this regard it is revealing to separate the individual characteristics listed in Exhibit A-3 into the first 15 (which were not observable to DHA officials because they were gleaned from our household survey) and the last 12 (which likely were). Ninety-five percent of the former set’s coefficients were not statistically significant, whereas only 88 percent of the later set’s were. This is consistent with the notion that, although DHA’s assignment process may not have produced a completely random assignment across neighborhood characteristics based on household characteristics that DHA staff could observe, it nevertheless likely produced such based on household characteristics that they could not observe. We therefore conclude that this third piece of evidence suggests the DHA allocation process produced a quasi-random assignment across geography, with the possible exception of two individual characteristics observable by the DHA—African-American ethnicity and household wages—that are easily controlled in our analyses. Even more importantly, we conclude that the DHA allocation process produced a quasi-random assignment across geography in terms of individual characteristics not observable by the DHA (but observable to us from our survey). This gives us some confidence that any additional household characteristics we do not observe in our study are similarly quasi-randomly allocated across neighborhood characteristics. Relationships between Typically Unobserved Individual Characteristics and Neighborhood Characteristics using Monte Carlo Simulation Recall that the key issue at hand is whether DHA’s assignment of public housing tenants to neighborhoods effectively removes the correlation between unobservable (i.e., cannot be controlled statistically) parental characteristics that might affect both characteristics of location chosen and individual outcomes being investigated. We investigated this by examining the degree to which a variety of characteristics of parents/caregivers in our sample that typically are not observed in neighborhood effect studies were correlated with multiple characteristics of their neighborhoods at the time of initial assignment by DHA. The intuition guiding our analysis is as follows. An actual random assignment of DHA applicants to DHA dwellings will likely produce by chance a few non-zero pairwise correlations between DHA household characteristics and neighborhood characteristics. A Monte Carlo simulation repeating such random assignments will generate bootstrapped standard errors and distributions of such correlations for each pair. This provides the benchmark against which we will compare the actual pairwise correlations between DHA household characteristics and neighborhood characteristics. If the pattern of the actual correlations does not differ significantly from that produced by the simulation, we will fail to reject the null hypothesis that the DHA assignment process yielded a quasi-random geographic assignment of households according to their unobserved characteristics. In particular, we implemented this strategy as follows. We considered here the unobserved (by DHA and typically in other studies) characteristics of parents (listed in Exhibit A-4) and the characteristics of census tracts considered above. For each of the three aforementioned family 30 sizes of DHA tenants we calculated the Pearsonian correlation between each pairwise combination of parental characteristics and neighborhood characteristics observed when the DHA first assigned our sample households to their DHA units. As a comparative benchmark for these correlations we conducted Monte Carlo simulations in which each sample household was, indeed, randomly assigned to one of the DHA units (for the appropriate family size) with its associated bundle of neighborhood characteristics that we observed whenever the initial assignment of household in our study actually occurred.37 In each iteration after all households were randomly assigned we calculated correlations for all pairwise combinations of parental characteristics and neighborhood characteristics. We used 10,000 repetitions of these simulations to produce distributions for all pairwise combinations of parental characteristics and neighborhood characteristics and associated bootstrapped standard errors. This allowed us to estimate: (1) for each correlation a 95 percent confidence interval, and (2) across all pairwise correlations how many significantly different from zero would be expected by chance when produced by a random assignment process. The results are reported in Exhibit A-4. The parental characteristics are listed in the rows and the three family-size strata in the columns. The cells show for how many of the possible neighborhood characteristics the initial DHA assignment produced an actual correlation with the given parental characteristic that was significantly different from zero at the 5 percent level (twotailed test); the actual correlation coefficient and the neighborhood characteristic involved are reported in these cases. The exhibit shows that for families with no or one child and families with two children, only eight (5 percent of possible correlations) were statistically different from zero; the corresponding figure for families with three or more children was 12 (8 percent of possible correlations). Our simulations showed that in over 98 percent and 95 percent of the cases, respectively, a larger number of statistically significant correlations were produced by a random assignment. This strongly indicated that the relatively rare non-zero correlations we observed from initial DHA allocations of tenants to neighborhoods (shown in Exhibit A-4) were consistent with those that would have been generated by a pure process of random assignment. These results suggest that the DHA natural experiment likely removes the correlation between parental characteristics (which we do not observe and cannot control in our Denver study) that may potentially affect both initial DHA neighborhood characteristics and subsequent individual outcomes. 37 The programming and execution of these simulations was conducted by Dr. Albert Anderson of PDQ Inc., whose contribution we gratefully acknowledge. 31 Exhibit A-4. Simulation Results: Number of Statistically Significant Correlations between Typically Unobserved Household Characteristics and Neighborhood Characteristics Household Characteristic Families with 0-1 Families with 2 Families with 3+ Child Children Children Ever not enough food for family 0 1 (%black=.14) 0 while reside in this location Ever unable to pay all bills while 2 (%foreign-born 2 (%elem. school 1 (%vacant = -.12) reside in this location = .13; %vacant = ed. = -.17; -.16) %vacant = -.14) Frequency of alcohol use since 2 (%unemployed 0 1 (%black = -.09) becoming parent = -.16; %owner =.13) Frequency of marijuana use since 1 (%black = .17) 0 0 becoming parent Frequency of drug use since 1 (%black = .13) 0 0 becoming parent Ever seen psychologist, 0 0 0 psychiatrist or counselor Did your parents ever live in 1 (%female 0 1 (%foreign born = public housing when you were heads = .22) .18) growing up Did your parents ever own their 0 3 (%elem. school 0 home when you were growing up = .26; %college = -.26; %own = .20) Born in U.S. 1 (%college = 0 0 .16;) Primary language is Spanish 0 0 0 Father of child always lived in 0 0 5 (%female heads = home while child growing up -.11; %elementary school = -.10; %poor = -.10; %own = .09; %pre-1940 homes= -.12) Parental depression (CESD) 0 1 (%Latino = .13) 2 (%elem. school = scale .13; %Latino=.13) Parental self-efficacy scale 0 0 0 Parental beliefs & practices scale 0 1 (%Latino = 2 (%college = -.09; .21) %black = -.12) Source: authors’ calculations based on Monte Carlo simulations of Denver Child Study survey data; statistically significant household-neighborhood characteristic correlations shown parenthetically 32 Conclusion Natural experiments involving residential placements under the auspices of some public program offer potentially powerful vehicles for measuring neighborhood effects because they can rupture the association between unobserved characteristics of the individuals being studied and characteristics of their neighborhood. In this appendix we have investigated the extent to which a natural experiment involving public housing in Denver offers such potential. Our analysis of the Denver Housing Authority’s dwelling allocation procedures revealed considerable room for tenant self-selection and/or DHA staff selection to enter. Nevertheless, we found that the initial occupancy mimicked a quasi-random assignment process to DHA dwellings or neighborhoods, with the exception of ethnicity and disability status. Only African American ethnicity (and to a lesser degree, household wages) exhibited above-average frequencies of associations with neighborhood conditions, however. This suggests that, conditioned on ethnicity and wages, the DHA allocation process produced a quasi-random initial assignment across neighborhood characteristics. The empirical implication is that models estimating neighborhood effects using the current data must control for ethnicity and wages to avoid geographic selection bias. We, in fact, do so in all analyses conducted in this report. Even more importantly, two sorts of analyses indicate that the DHA allocation process produced a quasi-random assignment across neighborhood conditions in terms of individual characteristics not observable by the DHA (but observable to us from our survey). This gives us some confidence that any additional household characteristics we do not observe in our study are similarly quasi-randomly allocated across neighborhood characteristics. References Cited in Appendix A but not in Main Text Jacob, Brian. 2004. “Public Housing, Housing Vouchers, and Student Achievement: Evidence from Public Housing Demolitions in Chicago,” American Economic Review 94: 233-58. Lyle, David. 2007. Estimating and Interpreting Peer and Role Model Effects from Randomly Assigned Social Groups at West Point,” The Review of Economics and Statistics 89(2): 289– 299. Oakes, J. Michael. 2004. “The (Mis)estimation of Neighborhood Effects: Causal Inference for a Practicable Social Epidemiology,” Social Science and Medicine 58: 1929–1952. 33 Appendix B: Details of Denver Child Study Survey, Other Data Sources and Construction of Variables Denver Child Study Household Survey We developed and fielded during 2006-2008 the Denver Child Study telephone survey (conducted in person for about 20 percent of sample who had no landline phones) that collected retrospective and current information about the household, adults and children. Detailed information related to multiple domains of outcomes was gathered for all eligible children associated with each household. Each household’s residential mobility history was obtained so it could be associated with neighborhood developmental context for children. Study eligibility criteria were: (1) presence of children in the home between ages 0 and 18 years when they moved into DHA; (2) family remained in DHA housing for at least two years; (3) family first entered DHA in 1987 or later (when DHA’s current quasi-random assignment process came into operation); and (4) were of Latino or African American ethnicity. Attempts to recruit participants for the study were made by mail, phone and in person, in both English and Spanish when appropriate. Compensation for participation took the form of either cash or gift card. We estimate an overall participation rate of 56.5 percent (85 percent for those still residing in DHA), with most non-participation due to our inability to locate the household; less than six (6) percent refused to participate once contacted. Our team successfully completed 710 interviews with the primary caregivers of eligible households whose surveys subsequently passed our rigorous data verification and reliability checks. Children and youth analyzed in our study were current or past members of these 710 households who spent two or more years residing in DHA housing before reaching age 19. Variables Measuring Characteristics of Caregivers and Households Our Denver Child Study survey collected information on a wide variety of parental/caregiver (“caregiver” hereafter) and household characteristics. This included time-invariant information about caregiver gender, year of birth and national origin. Less conventionally, our survey asked respondents whether they had used alcohol, marijuana and/or other illegal drugs since becoming a parent, a situation we coded with a dummy variable indicator. The survey also permitted us to estimate caregiver depressive symptomatology at time-ofsurvey and served as a control for caregiver affect when responding to survey questions, not necessarily caregiver emotional state during onset of a particular child outcome. Interviewers administered the Center for Epidemiologic Studies Depression (CES-D) Scale developed by Radloff (1977). This scale is a self-evaluative questionnaire designed to assess whether an individual possesses emotional traits or characteristics that commonly indicate the presence of clinical depression. The scale is based on 20 questions about the emotions a person has felt over the past week, with responses of 0 indicating less than 1 day, 1 indicating 1-2 days, 2 indicating 3-4 days, and 3, indicating 5-7 days that a particular emotion was felt during the week. Scoring for items indicating positive feelings is reversed, and the points are summed. Overall scores range from 0 to 60; with scores less than 16 indicating no depressive symptoms, 16 to 26 indicating sub-clinical depressive symptomatology and scores of 27 or higher indicating 34 clinical depressive symptomatology. We used a dummy variable indicating whether the caregiver exhibited sub-clinical or clinical depressive symptomatology (i.e., scored at least 16 on the CES-D scale). The Cronbach’s alpha for the CES-D has been found to be 0.80 or above within the general population as well as various subpopulations. In this study, the Cronbach’s alpha for the CES-D was 0.869. The scale is available at http://www.chcr.brown.edu/pcoc/cesdscale.pdf). We also were able to measure in the Denver Child Study many aspects of the caregiver and household that varied over the life of the child, such as educational attainment, economic status, disability status, marital status, fertility and employment histories, and access to health insurance. The survey also included a Household Stressors index comprised of five items which inquire about difficulties faced by the household in terms of finances, employment, insurance, utilities, and housing. For each year in a child’s life, this index measures the magnitude of stressors facing the household at the corresponding residential location. Caregivers were asked whether they experienced any of the following events: a. Unemployed a month or more? b. Have a major illness or injury? c. Have too little money to buy enough food for your family? d. Have your electricity, gas, or phone service cut off? e. Get evicted from your home? Possible responses to each item (followed by their associated score) were no (0) and yes (1), indicating either the presence or absence of a certain stressor. Scores could vary from 0 to 5, with higher values indicating a greater degree of household stress. Cronbach’s alpha for this index was .50. Variables Measuring Characteristics of Children and Youth Our Denver Child Study survey asked caregivers to supply information about all their children with whom they had lived in DHA public housing for at least one year. In this manner we collected detailed information about the children’s gender, ethnicity, birth order, residential histories, health, exposure to violence, behaviors and activities, education and (for older children), marital/fertility histories and labor market outcomes during early adolescence and young adulthood. We also recorded focal child’s number of siblings during the time period under analysis, and other behaviors of older siblings (e.g. dropping out of high school). Finally, residential history information permitted us to compute the number of moves the household had undertaken during the childhood of the observed youth. Variables Measuring Characteristics of Neighborhoods Experienced by Children and Youth It is generally accepted that “neighborhood” has both objective “space” dimensions (i.e., economic, demographic, social indicators associated with geographies) and subjective “place” dimensions (i.e., the human experience of territory) (Fitzpatrick and LaGory, 2000). We obtained a wide variety of neighborhood data about both dimensions from four sources. The first source was the decennial U.S. Census, where we used census tract geographic scales from 1980, 1990 and 2000 censuses. We employed the Neighborhood Change Data Base (a Geolytics proprietary product) for this information because it adjusts data to account for changes in tract boundaries between decennial censuses. For estimates of non-census year data, we used linear interpolation or extrapolation. We gathered indicators that have been widely 35 employed in prior research on neighborhood effects, including percentages of: households moving in during the prior year, female-headed households, families below the poverty line, unemployed adults, Latino population, non-Latino African American population,38 foreign-born population, homes that are renter-occupied, homes that were built during various periods, and mean occupational prestige based on the General Social Survey prestige score weighted by the observed proportional distribution of occupations of employees in the tract. Given high correlations among several of these variables, we conducted four principal components analyses, one for a comparable set of variables for each of the 1980-2000 censuses.39 For each census year, the analysis produced a single component (with an eigenvalue greater than unity) that consistently was comprised of the roughly equally weighted sum of census tract percentages of: poor, unemployed, renters, and female household heads. We call this our neighborhood social vulnerability score (ranging from 0-400). We note that our neighborhood social vulnerability score is not strictly comparable to similar indices of “neighborhood disadvantage” used in many prior scholarly works for two reasons. First, our index sums neighborhood percentages of: unemployment, poverty, female-headed households and renters; it does not include ethnic, racial, or nativity measures, as do most others. Second, our models control for other neighborhood characteristics that are often associated with “disadvantaged neighborhoods” but for which other studies have no direct measures: notably crime and occupational prestige. Thus, other studies’ “neighborhood disadvantage” variables serve as ambiguous proxies for a diverse bundle of conditions and quantitative results using such measures should not be used as precedents for results using our social vulnerability measure. The second source of neighborhood information was the Denver-based Piton Foundation’s Neighborhood Facts Database, which provided small area-based, annually measured information culled from Denver administrative databases on characteristics that are not provided by the Census. These included violent crimes reported to police per 1,000 population and property crimes reported to police per 1,000 population. The Piton Foundation data are aggregated to 77 named community areas consisting of two census tracts, on average, and thus are measured at a larger spatial scale than our census-based data. Moreover, Piton series are available only for the City and County of Denver, which produced shrinkage in our analysis sample because some former DHA households interviewed had moved out of the county. Quality Controls and Creation of Analytical Databases We spent considerable effort cleaning, reconciling and augmenting the survey data. When our audits revealed inconsistencies or omissions in the responses, we attempted to contact respondents again and seek clarifications. Information provided by respondents on their residential histories was cross-checked with residential location information contained in the DHA administrative databases, U.S. Postal Service, Lexis-Nexis and Intelius address files as well as several additional online search engines. Once residential history information obtained on the survey was verified for accuracy, we geocoded each address, using the U.S. Bureau of the Census’ American FactFinder website utility. In cases where respondents could not recall specific addresses but only proximate crossstreets, we verified these locations using MapQuest and then identified the corresponding census tract using the aforementioned Census website showing tract boundaries. This 38 The ethnic makeup of Denver in 2000 was 52 percent non-Latino whites, 11 percent non-Latino African Americans, and 32 percent Latinos. 39 The creation of our linked database occurred prior to the release of the 2010 Census and the five-year average American Community Survey data. 36 procedure provided the census tract corresponding to each location in respondents’ residential histories, which, in turn, permitted us to match each location to the aforementioned battery of neighborhood indicators for census tract neighborhoods. We were able to successfully link 92 percent of the residential locations identified by respondents. We then transformed these data for households and neighborhoods into the format of a childyear unit of observation. For each child-year there are variables associated with: (1) fixed child characteristics, (2) fixed caregiver characteristics; (3) temporally varying child characteristics; (4) temporally varying caregiver-household characteristics; (5) temporally varying neighborhood characteristics; and (6) temporally varying outcomes. References Cited in Appendix B Fitzpatrick, Kevin, and Mark LaGory. 2000. Unhealthy Places: The Ecology of Risk in the Urban Landscape. New York: Routledge. Furtado, Bernardo. 2011. “Neighbourhoods in Urban Economics: Incorporating Cognitively Perceived Urban Space in Economic Models,” Urban Studies 48(13): 2827-2848. Muhajarine, Nazeem, Ronald Labonte, Allison Williams, and James Randall. 2008. “Person, Perception, and Place: What Matters to Health and Quality of Life,” Social Indicators Research 85(1): 53-80. Radloff, L. 1977. The CES-D Scale—A Self-Report Depression Scale for Research in the General Population, Applied Psychological Measurement 1(3), 385-401. 37 APPENDIX C: MAPS OF DHA HOUSING AND RESIDENTIAL PATTERNS BY ETHNICITY AND POVERTY, DENVER, CO. Map 1: Locations of Sample Household’s First Denver Housing Authority Dwelling Sources: Denver Housing Authority, Piton Foundation Neighborhood Facts database, map by authors; Note: year varies by date of first offer but range from 1987-2008; each point can represent multiple DHA dwellings 38 Map 2: Percentages of African American Population by Census Tract, 2010 39 Map 3: Percentages of Latino Population by Census Tract, 2010 40 Map 4: African American and Latino Populations by Census Tract Poverty Rate, 2010