Returning from earning: UK graduates returning to postgraduate study, with particular respect to STEM subjects, gender and ethnicity Steve d’Aguiar (formerly of Higher Education Funding Council for England) Neil Harrison (Faculty of Arts, Creative Industries and Education, University of the West of England) Abstract: It has been argued by some (e.g. the Confederation of British Industry [CBI]) that graduates lack the skills that render them employable. In particular, graduates of science, technology, engineering and mathematics (STEM) subjects are often portrayed as being unready for the world of work. This paper uses three large-scale national datasets from the UK to explore this assertion, including the results of the Destinations of Leavers from Higher Education surveys. It reports analysis of 22,207 individuals who graduated from their first degree in 2007, and works from the hypothesis that those entering the workforce and then returning for taught postgraduate study are primarily doing so due to underemployment in the period following graduation. The study uses binary logistic regression and finds that a range of educational, demographic and employment-based variables have a significant relationship with the propensity to return for taught postgraduate study. Of particular note, those returning tend to be high-achievers from elite universities in low-skill work after graduation, as well as women and those from minority ethnic communities; this suggests a mix of individual and structural factors at work. In addition, STEM graduates were significantly less likely to return, apparently challenging the argument advanced by the CBI. Keywords: higher education, STEM, work-readiness, underemployment, DLHE Page 1 of 29 Background An ongoing discourse around a perceived under-preparation of graduates for employment continues, both in the UK (e.g. Moreau and Leathwood 2006; Tomlinson 2007; Holmes 2013; Tymon 2013) and other developed countries (e.g. Martin et al. 2000). This discourse generally makes reference to a set of so-called ‘soft’ skills, such as the ability to present ideas and interact with colleagues (Leitch 2006; The Royal Society 2006; Henderson et al. 2010). Concerns have been expressed, notably from the Confederation of British Industry (CBI), that this underpreparation is particularly true of graduates in science, technology, engineering and mathematics (STEM) subjects (CBI 2008; Smith 2007). However, this appears to be challenged by the UK Commission for Employment and Skills (UKCES) and their Employer Skills Survey conducted in 2011 (UKCES 2012a,b). This involved over 87,000 telephone interviews with diverse businesses across the UK, and investigated, inter alia, graduates’ readiness for work and skill shortages. Only 14 per cent of English employers considered that those leaving higher education were poorly prepared for work (UKCES 2012a,b). Similarly, the Institute of Directors reported that just 9 per cent of respondents to a survey of 500 directors were dissatisfied with graduates knowledge and skills (IoD 2007). Indeed, evidence for the under-preparedness of graduates appears to be largely anecdotal (The Royal Society 2006; Smith 2007; Henderson et al. 2010), although employers continue to feel that universities could do more (Lowden et al. 2011). The particular interest in STEM subjects derives from a widely-held belief that they are ‘vital for our economy to enable the UK to do well as a nation’ (House of Lords 2011, 1); similar sentiments are also expressed by Smith (2009). Both Henderson et al. (2006) and Smith (2007) report that employers believe that modularised learning in universities has contributed to a decline in graduates’ scientific knowledge, such that the quality of STEM graduates has fallen, rather than the quantity. Mellors-Bourne et al. (2011) report a perception that many STEM graduates are lacking in core scientific knowledge and workplace experience, with the CBI’s survey of senior executives revealing that ‘42% of firms consider STEM graduates lack the right skills’ (2008, 7). There are also concerns that there are not enough graduates in STEM subjects and, in particular, groups such as women (Roberts 2002; Kirkup et al. 2010; Regan and Dillon 2012; Smith 2012), some ethnic minorities (Elias et al. 2006; DeWitt et al. 2011; Smith and White 2011) and those from lower socioeconomic backgrounds (Smith and White 2011; Campaign for Science and Engineering 2012) are under-represented on many (especially high status) courses, although women now outnumber men overall in STEM subjects (Ratcliffe 2013). Given the policy interest around the preparation for employment, relatively little empirical work has been undertaken. The focus here is, therefore, on the analysis of secondary national quantitative data, with particular reference to the hypothesis that STEM graduates are, on average, less prepared for graduate employment than their peers who studied non-STEM subjects. It uses data from the Destinations of Leavers from Higher Education (DLHE) surveys, combined with student-level data held by the Higher Education Statistics Agency; there has been little previous research conducted Page 2 of 29 using the DLHE dataset, which is collected from graduates six months and three-and-a-half years after completion, notable exceptions being Chevalier (2008), Gittoes (2009), Norton (2008) and Woodfield (2011). Problematising work-readiness and underemployment This study is situated within the broader discourse around graduate employability. Space precludes a full discussion of this much-debated concept (see Holmes 2013 for an historical overview), but a commonly-used definition is ‘a set of achievements – skills, understandings and personal attributes – that makes graduates more likely to gain employment and be successful in their chosen occupations’ (Yorke 2004, 8). Here we primarily engage with a more limited (and recent) concept of ‘work-readiness’, in the sense of students being able to ‘hit the ground running’ without the need for additional training in the initial period of employment (Mason, Williams and Cranmer 2009). As evidenced by the CBI and UKCES reports cited above, employers argue for the value of workreadiness in reducing costs, maintaining continuity and increasing productivity (Boden and Nedeva 2010). Discussions have mainly focused on the ‘soft’ skills associated with the contemporary workplace, particularly around working with other people and marshalling and communicating information and ideas. It is also asserted that there are discipline-specific elements of workreadiness, for example in healthcare (Walker et al. 2013), accountancy (Jacklin and De Longe 2009), engineering (Jollands, Jolly and Molyneaux 2012) and science (Coll and Zeegwaard 2006). Specifically, in relation to STEM graduates, there are concerns about cross-cutting science skills around scientific principles, laboratory practice and applied mathematics (Roberts 2002; Henderson et al. 2010). Within this concept of work-readiness, graduates are constructed as needing both academic credentials and a wider (and, arguably, ill-defined – see Hinchliffe and Jolly 2011 or Tymon 2013) set of skills, knowledge, behaviours and dispositions that simultaneously contribute to their ‘attractiveness’ to employers. Employers therefore expect graduates to be able to evidence their work-readiness through the information provided in job applications, through the interview process (and associated test exercises) and through their performance once in post. A weakness would therefore hamper the individual’s ability to secure work or to progress at the expected pace in the early stage of their career. In addition, graduates may possess different levels of career management skills and therefore have suboptimal approaches to marketing themselves to employers (Bridgstock 2009). A lack of such work-readiness could occur across whole programmes, subject areas or universities (the publication of comparative statistics being partly the rationale behind the DLHE), but also at the individual level, with graduates achieving a strong academic result, but failing to acquire the skills or specialist knowledge valued by employers; Mellors-Bourne et al. (2011) provide some evidence for this. In other words, a graduate’s work-readiness can be enhanced or compromised by features of their degree programme (e.g. insufficient content focused on contemporary employment or opportunities to develop practical skills within the curriculum) or by their own interaction with it in terms of the skills and knowledge resulting (Cranmer 2006; Mason, Williams and Cranmer 2009). Rather than being a binary condition, work-readiness can more usefully be seen as a form of Page 3 of 29 positional capital, but, in the sense used here, excludes other potential positional advantages such as the prestige attached to the university attended. Work-readiness may therefore feed into (but not define) the ability of graduates to secure work at an appropriate level and thrive within this environment in the first few years of their career; this is a phenomenon that is widely-recognised by students themselves (Moreau and Leathwood, 2006; Tomlinson 2007, 2008; Tymon 2013). In a highly-competitive labour market, low work-readiness could therefore compromise the potential to secure or maintain graduate-level employment, leading to the individual becoming ‘underemployed’ in a role that is less skilled than their degree (or degree class) would suggest. Indeed, evidence for widespread underemployment is strong. Chevalier and Lindley (2009) compared two cohorts of students spanning a period of rapid expansion in higher education in the UK: those who graduated in 1990 and in 1995. They concluded that the proportion working in roles not requiring a degree nearly doubled between the two cohorts (from 7 percent to 11 percent) and that there was a wider group of graduates in jobs only recently requiring degrees. Drawing on their longitudinal study of 17,000 undergraduates, Purcell et al. (2012) estimate that as many as 40 percent spent significant periods in what they define as ‘non-graduate work’ in the two years after university, while Mosca and Wright (2011a) provide a figure of 37 percent six months after graduation, for the 2002/03 cohort. Smetherham (2006) provides similar evidence based on the perceptions of graduates, finding around one-in-five felt that they were qualified for, and capable of, more demanding work. Indeed, Scurry and Blenkinsopp’s (2011) review of the literature suggests that there are both objective and subjective elements to underemployment – a sense in which some jobs are inherently ‘non-graduate’ (see Elias and Purcell 2004), while other jobs may cause the graduate to feel that they are working below their qualification or ability level. Poor work-readiness could therefore be one explanation for underemployment. However, this argument has its critics. Moreau and Leathwood (2006) argue that an over-focus on the individual’s work-readiness is a misframing, as it fails to respect the structural inequalities that provide differential access to graduate jobs. This is supported by Wilton (2011), who uses a sample of business graduates to demonstrate a disjuncture between self-reported employability skills and the likelihood of underemployment after graduation. Others (e.g. Boden and Nedeva 2010) point out that complaints about graduate skills has been a popular refrain from employer groups for several decades and suggest that this discourse may reflect more about power relations between employers, government and universities than the abilities of individual students. There are also concerns about the subjective and unmeasurable nature of employers’ requests (Hinchliffe and Jolly 2011, Tymon 2013). More broadly, Brown (2003) argues that after a period of post-industrial realignment in the UK (and elsewhere in the developed world), the number of highly-skilled jobs has stagnated, producing an ‘opportunity trap’ in which an ever-growing pool of graduates emerging from an expanded higher education sector is funnelled into a labour market of fixed size. With the supply of graduates significantly outstripping the demand from traditional employers, an highly competitive labour market is established, especially for the most prestigious and lucrative jobs. In this environment, even the possession of a first class degree does not guarantee employment at the desired level, Page 4 of 29 where employers are able to filter candidates ruthlessly by various forms of positional advantage, including work-readiness. The net result is a large surplus of qualified graduates finding themselves displaced into non-graduate work and ‘institutionally disappointed’ (Brown 2013); this may occur within a particular field (e.g. forensic science, which produces more graduates each year than the total jobs in the discipline: Tobin 2011) or geographical location (see Mosca and Wright 2011b). In the long run, this ‘opportunity trap’ sees previously non-graduate occupations redefined as graduates come to predominate and blurring the lines between the objective and subjective forms of underemployment (Scurry and Blenkinsopp 2011). In the short-term, it is important to consider which groups are more likely to find themselves positionally disadvantaged. Wilton (2011) finds that women and graduates from minority ethnic communities report the greatest skills gains from higher education, but the poorest early career experiences in terms of level of work, satisfaction and pay. In similar vein, Moreau and Leathwood (2006) argue that factors such as gender, ethnicity, age and disability status may trigger active (e.g. preferential employment of certain groups) and passive (e.g. an unconscious drive to recruit more ‘people like us’ who will ‘fit in’) forms of discrimination, regardless of their work-readiness. Furthermore, Cranmer (2006) finds that reputational status is held to confer significant advantage to those passing through elite universities; a position supported by Boden and Nedeva (2010), who argue that lower status universities strive to substitute this disadvantage with work-readiness initiatives. This reputational factor is likely to further disadvantage graduates from minority ethnic communities who continue to be under-represented in elite universities. These critical voices therefore argue that structural inequalities have more role in defining patterns of graduate employment than work-readiness. Holmes (2013) rejects both the work-readiness approach and the critical response as simplistic and poorly grounded in empirical data. Instead, he proposes a ‘processual’ model which stresses a negotiated transaction between graduate and prospective employers, in which the former attempts to convince the latter that they fit their definition of ‘graduateness’. This will inevitably differ between employers and may be informed by the structural inequalities discussed above, but it also encompasses aspects of the graduate themselves, what they are able to evidence and how they present themselves. This finds support in Tomlinson’s (2007) distinction between ‘careerists’ and ‘ritualists’, whereby the former seek to accrue positional advantage (e.g. through experiences outside of the formal curriculum) in contrast to the latter who are unwilling to ‘play the game’ and resign themselves as a result to lower status employment, at least in the first instance. Furthermore, Tymon (2013) notes that some of the ‘skills’ identified as supporting employability are actually personality constructs and may therefore be immune from the very concept of skills development. Under Holmes’s (2013) ‘processual’ conceptualisation, success in the graduate labour market might reasonably be seen as function of both work-readiness and the ability and willingness of the individual to compete in the marketplace, partly through their qualifications, but also through how they engage with a range of structural and agentic challenges. As a result, there is a danger that graduates may (a) fail to secure work in their chosen career, (b) find themselves in work at a level that they feel is too low, and/or (c) fail to progress within their career at an appropriate rate. Indeed, Holmes (2013) predicts a group of such individuals which he defines as having a ‘failed identity’ in the graduate labour market. We now consider what responses they might have to this situation. Page 5 of 29 Returning to study As a result of widespread underemployment and a congested graduate labour market, some graduates are likely to feel an imperative to undertake taught postgraduate courses, either to obtain additional work-related skills or to differentiate themselves from others. The latter is a precursor to ‘credential inflation’ (Brown 2003), whereby competition within the ‘opportunity trap’ drives individuals to acquire additional qualifications to distinguish themselves from others which, over time, drives up the credentials expected for a given occupation without the nature of the work changing. The Royal Society considers that for both the manufacturing and research and development sectors, ‘an important route to such professional jobs is through a higher degree’ (2006, 43). The view that students need to differentiate themselves from their peers, including by obtaining postgraduate qualifications, is also held by students themselves (Tomlinson 2008). Brooks and Everett (2009, 346) report that graduates considered a return to postgraduate study as a “felt need to ‘compensate’ for poor performance, ‘specialise’ to gain more work-related skills and ‘gain the edge’ within a mass system of higher education”, while Bowman (2005, 241) identifies a group of graduates ‘coming back’ into taught postgraduate courses and seeking distinction in the labour market: “Some of these students were frustrated at not being able to get into work in their subject area. Others had been doing jobs that they could not have got without doing their degree, but their experiences had not matched their expectations of ‘graduate level’ work.” This paper, therefore, works from the premise that a return to postgraduate study (especially in the context of a taught course) after a period of employment is a natural and widespread response by graduates who find themselves underemployed, either objectively or subjectively (Scurry and Blenkinsopp 2011). As such, the sequence of graduating, working for up to three years and then returning to a postgraduate course could be seen as a marker for either low work-readiness or structural factors in underemployment. Using DLHE data, Mosca and Wright (2011a) find that underemployment after six months is a strong predictor for underemployment after three-and-a-half years, so returning to study may be one means of avoiding this. There are, of course, myriad other reasons why individuals might act in this way. A return to postgraduate study could represent a natural aspect of career progression, where specialisation or wider skills are required after two or three years of graduate work experience. More prosaically, in the climate of rising costs, some individuals may deliberately enter the labour market with the intention of returning to study once they have accumulated sufficient savings. Indeed, there could be a range of highly personal factors at work, like the desire for a radical career change or a failed self-employment venture. Conversely, returning to study is not the only option open to underemployed graduates, who may prefer to ‘work their way up’ through an organisation or establish their own business. However, the existence of large-scale national datasets does allow the basic act of returning to study to be examined with the aim of testing which factors might predispose an individual to return, which may give clues about the motives behind doing so. Page 6 of 29 Research question This study compares two groups of graduates across the first three-and-a-half years after completing their undergraduate course. The main group of interest comprises those returning to taught postgraduate study after a period of employment (or unemployment) – referred to as ‘returners’. The larger comparison group comprises those who did not return to taught postgraduate study, remaining within the labour market throughout the first three-and-a-half years – referred to as ‘leavers’. The primary research question was therefore to determine whether which graduates were more likely to be returners and why. The specific questions addressed were: 1. How do the populations of returners and leavers contrast across: occupation after six months; gender; age; ethnicity; undergraduate degree classification; undergraduate degree subject; whether they undertook a sandwich placement; and status of university at which their undergraduate degree was undertaken? 2. Which of the factors listed in 1 above are significantly associated with the likelihood of a return to taught postgraduate study? 3. Do STEM graduates have a statistically higher propensity to return than graduates of other subject areas? 4. Are the factors that are significantly associated with the likelihood of a return to taught postgraduate study the same for STEM and non-STEM subjects? Methodology Population of interest Using data for 2007/08 entrants, the Higher Education Policy Institute and the British Library [HEPI/BL] (2010) classify 61 percent of the 179,283 UK (i.e. not EU or other international) postgraduate students as being on a taught course, either full-time or part-time and ranging from postgraduate certificates to masters degrees. A further 14 percent were undertaking a postgraduate certificate in education (PGCE), while 9 percent were undertaking research degrees, with the remainder on a heterogeneous range of professional and specialist courses. The median age for a new taught postgraduate student was 24 for full-time students and 33 for part-time students, demonstrating that a period in work between undergraduate and postgraduate study is relatively common. While the gender profile of taught postgraduates appears to be largely static over time (with 55 percent being women), the proportion from minority ethnic groups rose from 16 percent in 2000-01 to 20 percent in 2007-08. This study concentrates on the progression of graduates into taught postgraduate study following a period of either employment or unemployment. The population is restricted to UK students (i.e. not Page 7 of 29 EU or other international) and those who pursued a full-time first degree programme ending in 2006-07. Three other exclusions were made: Those progressing immediately from their first degree studies on to postgraduate programmes at the Short DLHE census date. It is surmised that they had planned to undertake further academic study during the course of their degree, possibly with a specific career pathway in mind. As such, they fall outside the tight focus of this study as they have not been withing the graduate labour market and are not reacting to their experiences of it. Those undertaking research degrees, as the majority will be seeking entry to academic careers as opposed to those in the wider economy. As such, they comprise a rarefied subgroup of postgraduates that are drawn primarily from the academic elite and value a distinct set of personal skills. Those undertaking a PGCE, as they are seeking a distinct and highly-defined career path in entering the teaching profession. In particular, they were excluded from this study as they potentially blur the distinction between STEM and non-STEM careers – e.g. a primary teacher with a mathematics specialism. The definition of STEM subjects used here will be that used by the Higher Education Funding Council for England (HEFCE), which broadly speaking covers medicine and medical technology/science, biological and physical sciences, mathematics and computing, and engineering and technology. It should be noted, however, that there are different views on what constitutes a STEM subject. For instance, the Council for Industry and Higher Education consider that sports science, psychology, architecture and building and planning fell within the category of STEM (CIHE 2009), all subjects which HEFCE consider not to be STEM. Data sources The data for this research has been obtained from the Higher Education Statistics Agency (HESA) and has come from three separate sources: the HESA student data collection and the two DLHE surveys. For simplicity and clarity, the latter will be referred to as the ‘Short’ DLHE (undertaken six months after graduation) and the ‘Long’ DLHE (undertaken three years after the Short DLHE). All of the data is available as SAS datasets and this was the statistical software package used for analysis. The HESA student data is obtained from submissions from Higher Education institutions containing details of individual students and their studies and is conducted annually. The Short DLHE is a census conducted by Higher Education institutions on UK and EU domiciled graduates. As with the HESA student data, this is collected annually. The Long DLHE is carried out by a research agency (IFF Research – see Shury et al. 2011) on behalf of HESA and comprises a sample of those students surveyed in the Short DLHE who have given their consent to be resurveyed. This sample is structured to ensure that enough responses can be obtained to allow analysis by subgroups of interest. Data is collected biennially and has been conducted four times; with those students Page 8 of 29 graduating in the 2002-03 academic year forming the first survey, and those from the 2006-07 academic year being the latest published to date. For the purposes of this research a subset of the data from all three sources has been compiled. The three datasets are therefore the 2006-07 HESA Student collection, the 2006-07 Short DLHE (undertaken in early 2008), and the 2006-07 Long DLHE (undertaken between November 2010 and March 2011). The subset consists of those UK domiciled graduates who completed the Long DLHE survey and whose qualification aim was a first degree when they completed their studies in the 2006-07 academic year, but who were also not studying, either full-time or part-time, on the 200607 Short DLHE census date. The three datasets can be easily linked using unique personal which allow the longitudinal tracking of individuals through their higher education experiences and into the DLHE surveys. Figure 1 shows the relationship between the three datasets, showing how the sample was constructed. [Figure 1 here] To recap, then, the leaver group comprised those who completed a first degree in 2006-07, were not studying six months later (at the Short DLHE survey) or three-and-a-half years later (at the Long DLHE survey), and had not completed a taught postgraduate course in between the two surveys. Conversely, the returner group comprised those who completed a first degree in 2006-07 and were in the labour market (i.e. not studying) at the Short DLHE survey, but who were either studying a taught postgraduate course at the Long DLHE survey or had done so between the Short and Long DLHE surveys. The total number of UK respondents to the Long DLHE survey in 2006-07 who completed their first degree through full-time study was 30,070. Of these, 7,115 were studying at the Short DLHE census date and have therefore been excluded. A further 748 were excluded as they returned to a research degree or PGCE course, leaving 22,207 individuals within our sample, comprising 19,882 leavers (89.5 percent) and 2,325 returners (10.5 percent). The dummy variable allocating individuals into one of these two groups served as the dependent variable in the logistic regression analysis presented below. Independent variables were constructed from the combined dataset on the basis that (a) there was a good a priori basis to hypothesise from theory or previous research that they would be related to decisions about postgraduate education, and (b) that data was readily available in a usable and reliable form. The only variable that was excluded for the second reason was the individual’s socio-economic status prior to their first degree, where the data available is too incomplete and of questionable reliability and validity. The eight variables included were therefore: Job at the Short DLHE snapshot date (SOC): derived from the Standard Occupational Classification (SOC) codes. Although comprising over 600 categories, the coding is hierarchical and therefore simple to collapse into just four categories; Managerial/professional, Associated professional/technical, Semi/unskilled, and Unknown. It is assumed that graduate occupations fall into the first two categories and not into the Page 9 of 29 third. As such, graduates in a semi/unskilled job six months after graduation might be considered to be markedly underemployed. Gender (GENDER): coded Male or Female. Purcell et al. (2012) find that women are more likely to be in non-graduate work in the period immediately after university. Age (MATURE): Woodfield (2011), using DLHE data, finds that mature students are moderately advantaged in the graduate labour market once other factors are controlled for, partly due to their pre-existing work experience, which would suggest that they are less like to return to postgraduate study; this is supported by Purcell et al (2012). Age was included in the study through a binary variable indicating if a student was mature (coded Yes) or young (coded No), derived from the date of birth and the date on which study for the first degree commenced. Mature students were defined as being 21 years of age or more on commencement of their first degree. Ethnicity (ETH): Rafferty and Dale (2008) and Rafferty (2012) present data that graduates from minority ethnic communities have poorer graduate employment outcomes and that these appear to be worsening over time, although this is partially contradicted by Purcell et al (2012). The ethnicity classification on the Short DLHE dataset collapsed down from 21 categories into three categories: White, other known ethnicity (coded as BME for ‘black and minority ethnic group’) and Unknown. The sample size regrettably precluded a more nuanced approach to ethnicity. Class of first degree (DEG): the degree classification variable was collapsed down to five separate categories: First class; Upper second class; Lower second class; Third class and Pass; and Unclassified. The final group comprises graduates in subjects in which classifications are not given (e.g. medicine), rather than those that failed to achieve a pass. Purcell et al (2012) found that degree class was strongly linked to the likelihood of being in non-graduate work. STEM or non-STEM first degree (STEM): a binary variable denoting whether the content of the individual’s first degree comprised at least 50% STEM subjects (i.e. single subject, at least one subject in a joint degree, the major component in a major/minor combination, or at least two of the three in a triple combination), following HEFCE’s definition (coded Yes); others were coded No. Placement year (SANDWICH): a binary variable reflecting whether the individual undertook a placement/sandwich year as part of their first degree, as it is widely held that this experience provides a boost to employability (e.g. Wilton 2012; Moores and Reddy 2012). This includes placements within a working context (i.e. with an employer), but not those undertaken on the basis of ‘study abroad’. This was coded Yes or No. Institution attended for first degree (UNITYPE): a binary variable denoting whether the first degree provider was designated as a university prior to 1992 (Pre-1992) university or not (Post-1992). Within the UK context, this acts as a broad proxy for institutional status Page 10 of 29 within the higher education sector. Consideration was given to using a more nuanced definition, but continuing debate about appropriate measures of status made this too contentious to be useful. It should also be noted that the absence of a dedicated variable is likely to see this variable acting as a crude proxy for a socio-economic status, with individuals from advantaged backgrounds being disproportionately found in elite universities. Descriptive statistics Table 1 provides a description of the final dataset which was used for the statistical modelling. [Table 1 here] Analysis The analysis was carried out in two separate stages. For Stage 1, the whole dataset was used, with the leaver/returner dummy as the dependent variable and using the eight independent variables as potential explanatory factors. In addition, five two-way interaction terms were added as potential factors on the basis that a coherent a priori case could be made for a particular combination and its potential impact on educational decisions: DEG/SOC, DEG/GENDER, DEG/ETH, STEM/ETH and STEM/GENDER. In Stage 2 of the analysis, the data was split into two subsets; those respondents who had studied a STEM first degree and those who had studied a non-STEM degree. Again, progression to taught postgraduate study was the dependent variable, with the seven remaining independent variables and relevant interaction terms as potential explanatory factors; both subsets of the data were then analysed in parallel. Logistic regression analysis (Aitkin et al. 1989; Armitage et al. 2002; Cody and Smith 1997; Dobson 1990) was used to model which factors were statistically significant in whether an individual was a returner or leaver. Logistic regression is the most appropriate technique where the dependent variable is dichotomous in nature and where the researcher is interested in predicting the likelihood of an individual case falling into one of the two categories. In this instance, the model predicts which factors are associated with graduates being more likely to be a returner. All of the variables used in the analysis are categorical or ordinal, so dummy variables were created in order to conduct the regression analysis (Cody and Smith 1997). A ‘stepwise’ approach was used to determine the most parsimonious collection of explanatory variables for each model, adding (or removing) variables one at a time until further changes did not significantly increase (or decrease) the explanatory power of the model as a whole. Throughout this study, the 5 percent significance level was used. Page 11 of 29 In logistic regression models, the most useful measure of effect size for each value of the independent variables is the ‘odds ratio’. An odds ratio of 1 signifies that the value (e.g. Female) has no impact on the odds of being in the group of interest (i.e. returners) relative to the reference group (i.e. Male). An odds ratio of greater than 1 signifies that, in this example, women are more likely than men to be returners, while less than 1 would signify that they are less likely. In cases where the group of interest is unusual (i.e. less than 10 percent), the odds ratio provides a reasonable approximation of the increased likelihood of being within the key category of the dependent variable that is associated with the given category of the independent variable, relative to the reference category (Zhang and Yu 1998). As the overall likelihood of being a returner is only marginally over 10 percent, this approximation is felt to hold relatively well and the odds ratio is therefore reported as an effect size in terms of relative likelihood, with the proviso that it will provide a slight overestimate. Continuing the example in the previous paragraph, an odds ratio of 1.40 for women can be read as a 40 percent greater likelihood of being a returner, while an odds ratio of 0.70 could be read as being 70 percent as likely or, perhaps more intuitively, that men were 43 percent more likely, 1.43 being the inverse of 0.70. Results Stage 1: full dataset Seven of the independent variables were found to have a statistically significant effect (with the exception of MATURE) and so all were included in the final model shown in Table 2. Two interaction terms (DEG/SOC and STEM/GENDER) were also significant, entering the model as the final two ‘steps’ in the model. [Table 2 here] The main effect variables which made individuals significantly less likely, ceteris paribus, to be returners were having undertaken a sandwich placement (OR = .587), having attended a post-1992 university (OR = .623) and studying a STEM subject (OR = .676). In other words, those who had not taken a sandwich placement were 70 percent more likely to return, while those who attended a pre-1992 university were 61 percent more likely and those with a non-STEM degree were 48 percent more likely, all else being equal. In addition, being from a minority ethnic community had an odds ratio of 1.308, translating to a 31 percent higher likelihood of returning. [Table 3 here] The interpretation of the variables involved in the interaction terms is not straightforward in regression models where there are categorical variables, and particularly where there are more than two categories. Table 3 shows compound estimated odds ratios for STEM and GENDER. It can be seen that women with a STEM degree are 48 percent more likely to return than men with a STEM degree, all else being held constant. In non-STEM subjects, women’s increased propensity is 11 percent; this is not statistically significant, but very close to being so. Approaching this from the opposite perspective, men with a non-STEM degree were (coincidentally) 48 percent more likely to Page 12 of 29 return than men with a STEM degree. Therefore, the propensity for returning is generally higher for women and for those holding a non-STEM degree, but particularly for women with STEM degrees and men with non-STEM degrees. [Table 4 here] Table 4 presents the estimated odds ratios for DEG and SOC, relative to those with unclassified degrees. A consistent picture emerges among those with first or upper second class degrees, whereby the odds ratio of returning increases relative to the declining status of the job held six months after graduation. This effect is greatest for those with first class degrees in semi/unskilled jobs, who were over three times as likely to return. A similar trend appears to be operating for those with lower second class degrees, albeit that this is not statistically significant. Those with a third class or pass degree in professional/managerial jobs were nearly half as likely to return. In summary, those combining low status jobs and higher degree classifications were significantly more likely to return to study, whereas those combining high status jobs and low degree classifications were significantly less so. Stage 2: STEM first degree Stage 2 of analysis splits the sample into two sub-samples: those studying a STEM subject and those who did not. Among the STEM graduates, the seven remaining independent variables were included in the model, the exceptions being MATURE and DEG. None of the interaction terms were significant. The results are shown in Table 5. [Table 5 here] The basic pattern of relationships for the STEM group closely mirrors that for the sample as a whole as reported above. Among this group, the factors with the greatest effects are having an unskilled or semi-skilled job at the Short DLHE (83 percent greater likelihood of returning compared to those in professional or managerial roles) and being female (53 percent greater likelihood). Taking a sandwich year and/or studying at a post-1992 university were associated with leaving, while coming from a minority ethnic community was associated with returning. Stage 2: Non-STEM first degree All seven variables were entered into the logistic regression model for those graduates whose first degree was in a non-STEM subject, as reported in Table 6. Once again, none of the interaction terms were significant. [Table 6 here] The broad relationship between the predictor variables and the propensity to return for postgraduate study is similar – both to the STEM sub-sample and the sample as a whole. The largest effect size Page 13 of 29 was derived from having a first class or upper second class degree (146 percent and 77 percent more likely to return compared to an unclassified degree, respectively) or having undertaken a sandwich year (82 percent more likely to leave). Women, those in semi-skilled or unskilled work at the Short DLHE, those from pre-1992 universities and those from minority ethnic communities were again significantly more likely to return, all else being equal. In this model, age was also a statistically significant predictor, with mature students being less likely to return. It is particularly notable that while the direction of effect is identical between the models for the STEM and non-STEM sub-samples, the effect sizes vary dramatically. For example, among STEM graduates, the strongest predictor for being a returner is whether or not the graduate was able to secure a high-status job on graduation, while degree classification was not significant. Conversely, degree classification was the most important predictor for non-STEM graduates, while initial postgraduation employment had much less effect. Discussion The regression models detailed above provide evidence around a number of key factors in whether a graduate returns to taught postgraduate study after a period in the labour market. However, it is important to remember that, as with any quantitative cohort study, the analytical technique herein is not able to illuminate issues of causality with any degree of certainty. Instead, this discussion is restricted to exploring plausible mechanisms that may provide explanations for some of the effects described in the results section above; the move beyond conjecture must await future studies. All of the posited factors have a significant effect in one or more models and the direction of that effect is consistent across both the STEM and non-STEM subsamples. Relative to being a leaver, the returners were consistently more likely to be women, people from minority ethnic communities, those who had good degrees and those who originally studied in pre-1992 universities. They were also more likely to be those who had low-skill jobs six months after graduation, but less likely to be mature students or those who had undertaken a sandwich year as part of their degree. Returners could therefore be collectively typified as high-achievers from prestigious universities who did not secure appropriately high-status work after graduation, with gender and ethnicity also being mediating factors. However, this is not the whole story, as the sample also includes many returners who do not fit this profile, including those who were able to secure graduate-level jobs in the professional/managerial or associate professional categories. Indeed, there are many reasons why returners may return, as laid out earlier in this paper. They may have been unable to find a suitable job after graduation in the ways described by Chevalier and Lindley (2009), who identify the phenomenon of graduates being (or feeling – Scurry and Blenkinsopp 2011) overqualified for their current job, but not immediately capable of finding a better job. This provides an interesting dissonance between high academic achievement and low employment achievement in the period immediately following graduation and may lend some credence to the hypothesis that some otherwise successful graduates are not leaving university sufficiently work-ready. As Brooks and Everett (2009) report, this behaviour may also occur when the individual perceives that they underperformed as an undergraduate and could re-establish their credentials as a ‘high flyer’ through postgraduate study. Bennett and Turner’s (2012) report for the Page 14 of 29 Higher Education Academy describes that nearly 60 percent of taught postgraduate students had decided to take their course in order to improve their employment prospects, while almost as many cited progression in their current career. As noted above, there may be more prosaic reasons for returning. The relationships identified above could be explained, at least in part, by high-achieving graduates spending one or more years in the labour market to save up for their postgraduate studies, although it is hard to see how this would be widespread on the wages afforded in low-skill work. Some possibly return purely out of interest, although the cost of postgraduate courses, even part-time, would suggest that this group is small. The nature of quantitative research is such that these alternative explanations are untestable within the existing dataset. The most marked relationship within the dataset was between those taking and not taking sandwich years as part of the degree. The latter were nearly twice as likely to be returners, with a similar effect being identified for both STEM and non-STEM subjects. Given that the purpose of the sandwich degree is to provide valuable workplace experience, it would appear that this strategy was largely successful for students. Age was a predictor only in the context of those holding non-STEM degrees, which is perhaps slightly surprising. Using DLHE data, Woodfield (2011) found that mature graduates tended to be advantaged as they are more likely to have accrued work skills and experience through their life prior to university; they were also more likely to have entered higher education with a functional and career-led motivation. Both of these factors would appear to argue in favour of mature graduates finding appropriate work soon after graduation. One could also posit that their increased age means that extending their education further would provide a lower perceived payback given the remaining working years ahead of them. On this basis, it might have been imagined that age would have played a greater role in the regression models, although the threshold for being in the ‘mature’ category was only 21 years of age on entry and this may have limited its effect. Notably, age was not a significant predictor for returning among STEM graduates. The reason why graduates of pre-1992 universities should be more likely to return to take taught postgraduate courses is not obvious given their positional advantage through reputation (Cranmer 2006; Boden and Nedeva 2010). Firstly, it is important to remember that this is a relatively crude bifurcation of the sector and that its role within the regression model may be more about the socioeconomic profile of the two groups rather than the pedagogic practices within them. Croxford and Raffe (in press) provide strong evidence that pre-1992 universities continue to be dominated by students from the middle classes. Graduates of these universities are therefore more likely to have the material resources within the family to permit a return to postgraduate study, a greater disposition toward extended education (Ball 2003a,b) and sense of academic self-belief (Sullivan, 2006), as well as being able to capitalise on the reputational status of their alma mater (Wakeling 2005). If finding themselves underemployed, returning to study is a comfortable solution. Conversely, while working class graduates may be less likely to find themselves in graduate-level work, even once university status has been controlled for (Gordon 2013), the same response may not appear feasible. Indeed, there is some evidence to suggest that working class students have lower expectations of graduate employment and therefore resigned to less prestigious occupational Page 15 of 29 trajectories. For example, Davies et al. (2013) report that this group are more likely to choose subjects with a low wage premium, while Tomlinson (2007) finds they are more likely to be ‘ritualists’ that reject the ‘game-playing’ of high-stakes graduate employment. Meanwhile, Bathmaker et al. (2013) argue that they are often aware that their prospects are limited by a range of structural factors, including access to internships and the recruitment practices of some graduate employers (Browne 2010). As such, working class students may be less likely to find themselves ‘subjectively’ underemployed in the way described by Scurry and Blenkinsopp (2011), while also lacking the material resources to return if they do. An alternative, and not incompatible, explanation may be that the former polytechnics’ continuing tradition of offering more vocationally-focused courses (either in content or delivery) promotes the ability to swiftly find work at an appropriate level; Martin et al. (2000) found that graduates from vocational programmes felt better prepared for work, while Boden and Nedeva (2010) note the efforts that these universities place on employability, albeit mainly within less prestigious career paths. Mason, Williams and Cranmer (2009) argue that while the value of such employability skills efforts appears limited, curriculum links to employers have a strong benefit in terms of graduate outcomes (Lowden et al. 2011). Indeed, if vocationally-focused courses are not providing graduates with smooth access to careers, then their very purpose needs rethinking. However, given the uncertainty surrounding the role of this variable in the regression model, it is impossible to come to any firm conclusion about the relationship between university status and returning, confining us here to conjecture. Nevertheless, the relationship itself is consistent and strong, with pre-1992 university graduates being nearly twice as likely to return as post-1992 university graduates, once other factors like degree classification are controlled for. The phenomenon of women and graduates from minority ethnic communities being disproportionately disposed to return to taught postgraduate courses is consistent across the regression models; while this possibility was acknowledged in the selection of variables, the strength of the effect was not anticipated and it therefore warrants further comment. In general, both groups currently show a higher relative demand for education. For example, female participation in higher education has recently increased at a faster rate than has male participation (Regan and Dillon 2012), while [removed for review] draws a connection between the size of minority ethnic communities in an area and the prevailing demand for higher education; Wakeling (2009) and HEPI/BL (2010) find that they also have a vibrant demand for taught postgraduate degrees. Shah et al. (2010) explore why some minority ethnic communities place high value on education, providing them with a form of ‘ethnic capital’ that sees them extend their education to overcome perceived barriers to employment. Given that the regression models control for degree classification and university status, there are clearly other factors at work that impact on the educational decisions of women and graduates from minority ethnic communities. Indeed, research evidence suggests that these groups experience (or anticipate) forms of discrimination in the workplace which lead them to increase their qualifications in order to compete effectively. Taylor, Charlton and Ranyard (2012) find that their sample of a mixture of graduates and final year students predicted that women and minority ethnic graduates would have more difficulty in securing graduate employment and that this effect was additive Page 16 of 29 between the two groups. Similarly, Browne (2010) finds evidence of apparent discrimination against both groups in access to the most prestigious ‘fast-track’ graduate training schemes, while Connor et al (2004) report that minority ethnic students generally anticipate employment difficulties after graduation. Wilton (2011) reports these groups feeling more skilled at the end of their business degrees, but finding themselves in lower-status and less lucrative work on graduation. Indeed, there is good evidence for graduates from minority ethnic communities commonly working in roles significantly below those predicted by their qualification level (Rafferty and Dale 2008; Rafferty 2012), with Cassidy and Wright (2008) finding that such underemployment causes psychological and health issues, which may act as a further stimulus to return. These factors could collectively begin to explain the patterns within the regression models, with women and graduates from minority ethnic communities having a higher basic demand for education, potentially driven by experience or fear of discrimination and the negative affect of underemployment. As Brown (2003, 157) asserts, “…in the opportunity trap, some are more trapped than others.” Importantly, the relative effect of gender and ethnicity was stronger among the STEM graduates. For example, among this group, women and those from minority ethnic communities were 53 percent and 48 percent more likely to be returners than men and white graduates respectively. This compares with equivalent figures of 12 percent and 25 percent for non-STEM graduates. Both women and minority ethnic graduates are in a nuanced position with respect to STEM subjects. Women have been traditionally under-represented (Smith 2012), but have recently come to predominate overall (Ratcliffe 2013). Their representation is now very strong in biology, medicine and veterinary science, but weak within engineering and technology, with approximate equity with men in mathematics and physical sciences. There is a similarly mixed pattern by ethnicity, with minority communities well-represented in medicine and technology, but under-represented elsewhere (Smith and White 2011). One possible explanation for this study’s findings is that these groups choose subjects that are less likely to yield graduate work, due to over-supply and labour market congestion. For example, Purcell et al. (2012) note that the incidence of underemployment is particularly high among biology graduates – a group in which women predominate – but low in male-dominated engineering and technology. The fact that STEM programmes that disproportionately attract women also provide the least certain access to graduate jobs could go some way to explaining the results of this study. Alternatively,, whatever processes are working to make women and BME graduates return to postgraduate study in general may be operating more strongly within STEM subjects. Despite recent shifts in student numbers, STEM careers are often still viewed as a white, male stronghold (e.g. DeWitt et al. 2011; Mendick and Moreau, 2013). Indeed, official figures analysed by Kirkup et al. (2010) demonstrate the reality behind this perception. As of 2008, women comprised only 12 percent of the science, engineering and technology workforce, with just 5 percent of working women engaged in the sector compared to 31 percent of men. Among professionals, women comprise 55 percent of the medical sector, but only 16 percent across other science, engineering and technology disciplines. Interestingly, ethnicity appears to play a mediating role, with women from minority ethnic communities being slightly more likely to work in science (8 percent), engineering and technology than women from the white majority community, while their male counterparts are somewhat less likely to do so (22 percent). On a positive note, they find some modest progress Page 17 of 29 towards equality. However, there is continuing evidence of widespread hegemonic, discriminatory and exclusionary practices operating in some occupations (e.g. see Porter 2013 or Geek Feminism 2014); it is clear how this could effectively limit opportunities for women and graduates from ethnic minority communities in the ways in which Moreau and Leathwood (2006) describe. All else held equal, STEM graduates were significantly less likely to be returners than non-STEM graduates, suggesting that STEM graduates were better equipped for the labour market than those pursuing other disciplines. This appears to contradict the assertion that STEM graduates are poorly prepared for the workplace, at least in relative terms (CBI 2008; Henderson et al. 2010; Smith 2007; The Royal Society 2006). It does not, of course, mean that there were not many examples of STEM graduates returning to postgraduate study; the data in Table 1 show that 8.8 percent of STEM graduates returned, compared with 11.1 percent of non-STEM graduates. However, it does suggest that the particular focus on STEM subjects might be misguided when contextualised across higher education as a whole. Interestingly, degree classification and age were not significant predictors for returning to postgraduate study among STEM graduates, whereas they were for non-STEM graduates. Conversely, status of job after graduation was much more important in determining STEM graduates behaviour, perhaps suggesting a two-tier funnelling of STEM graduates into strongly defined professional or non-professional pathways, with graduates in the latter considering postgraduate study as a means of changing their fortunes for the better. This is clearly an area that would bear more research. Limitations This study is limited by its use of secondary quantitative data, which can only illuminate broad trends and not the rationales underpinning the actions of individual students. In particular, there may be alternative explanations for some of these relationships; for example, an unknown proportion of returning will be explained by involuntary entry to the labour market to raise funds for postgraduate study. However, these individuals are indistinguishable within the dataset from those entering the labour market and finding that it does not meet their expectations. Unpicking these various motivations must be left to future studies.. Similarly, the act of returning must be linked to some extent with the act of continuing into taught postgraduate courses directly from the first degree; the latter obviously constrains the set of students available to do the former. For example, Purcell et al. (2012) provide evidence that men, those from high status universities, some ethnic groups and those with high degree classifications are more likely to continue in this way. This could partly explain why there are more women who return, as men are more likely to continue with their education without entering the labour market (Wakeling 2005). The study was limited in scope by the resources available. As well as the issue of continuing, it has not been possible to examine the timing of returns over the three year period between the Short and Long DLHE censuses. These data do exist and a future study would be able to construct a dataset Page 18 of 29 to explore this further. Similarly, this study deliberately excluded several groups of postgraduates study from consideration, on the basis of distinctly different patterns of behaviour. Finally, it would have been useful to have had data on socio-economic status at entry to undergraduate study. However, the quality and coverage of the data available (see [removed for review]), especially for mature students and those from the lowest socio-economic groups, continues to make this form of analysis problematic, especially in the context of regression modelling, which relies on largely complete datasets for reliable inference. It is likely that socioeconomic background is a factor in determining access to the graduate labour market and postgraduation educational decisions; any future studies will also need to engage with this shortfall in the secondary national data that is available. As noted above, we believe that the university status data provide at least a partial proxy, such that the regression models are not significantly compromised. Conclusions This study sits within a context of an ongoing public discourse about the efficacy of undergraduate degrees in preparing students for the world of work, especially within science, technology, engineering and mathematics. It is asserted, by the CBI among others, that graduates are having to return to postgraduate study in order to upgrade their skills and thereby make themselves attractive to employers. This study provides new evidence on which individuals return to higher education after initially rejecting the option to continue their studies, based on national secondary data from 22,207 graduates who completed their courses in July 2007. It finds that there are clear predictors for this behaviour derived from a range of demographic, academic and employment-based variables. In particular, two particular groups of interest emerge with a higher-than-average propensity to return. The first comprises highly-qualified individuals who find themselves in low-skill work following graduation and who are presumed to quickly identify that they are objectively underemployed. We tentatively suggest that this group may provide evidence for issues with workreadiness, given that they appear to be academic high-achievers who have acquired a ‘failed identity’ (Holmes 2013) and turn to postgraduate study to rectify it. The second group comprises women and graduates from minority ethnic communities, especially within STEM subjects. Given the widely-acknowledged structural inequalities within the employment market, it is not surprising that this study adds to the evidence base, although the scale of the effect was marked. We also note Tomlinson’s (2007) argument that these individuals may initially set their sights lower (due to an anticipation of losing out in high-pressure recruitment environments), so this finding may reflect a subjective form of underemployment once experience of the workplace has firmed up ideas of appropriateness and led to frustration of believing that one is working at too low a level. We also note the significance of sandwich years in discouraging returning, presumably due to the practical skills acquired. Meanwhile, the finding that non-STEM graduates are more prone to return Page 19 of 29 to taught postgraduate study than their STEM counterparts tends to contradict the assertion that STEM graduates are less work-ready than their non-STEM peers. These findings prompt some interesting questions for policy and practice. Why are some highachieving graduates finding themselves unable to find skilled employment after graduation? What more, if anything, could universities do to smooth their transition into the world of work – either through curriculum design or careers support? How can the status of the sandwich year be boosted in the context of increased tuition fees? Is the use of postgraduate study by women and graduates from ethnic minority communities indicative of discriminatory labour market practices? 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Page 24 of 29 Yorke, M. 2004. Employability and higher education: what it is – and what it is not. York: Higher Education Academy. Zhang, J. and K. Yu. 1998. “What's the relative risk? A method of correcting the odds ratio in cohort studies of common outcomes.” Journal of the American Medical Association 280(19): 1690-1. Steve d'Aguiar worked for the Higher Education Funding Council for England for five years as an analyst involved with the National Student Survey and the Destination of Leavers from Higher Education survey. Neil Harrison is a senior lecturer in the Department of Education at the University of the West of England. His primary research interests are widening participation, social class in higher education, student retention, student financial support and intercultural relations. Page 25 of 29 Figure 1: Relationship of datasets All students graduating in 2006-07 Short DLHE respondents Long DLHE respondents Full-time UK students not studying at the Short DLHE Sample (N=22,207) Table 1: Descriptive Statistics Leavers (89.5%) SOC GENDER MATURE ETH DEG STEM SANDWICH UNITYPE Managerial/professional Assoc. prof./technical Semi/unskilled Unknown Female Male Yes No White BME Unknown First class Upper second class Lower second class Third class and pass Unclassified Yes No Yes No Pre-1992 Post-1992 Returners (10.5%) Frequency 6332 5181 4641 3728 11241 8641 3672 16210 16172 3454 256 2871 9694 5032 852 1220 5938 13944 3104 16778 Percentage 31.8% 26.1% 23.3% 18.8% 56.5% 43.5% 18.5% 81.5% 81.3% 17.4% 1.3% 14.4% 48.8% 25.3% 4.3% 6.1% 29.9% 70.1% 15.6% 84.4% Frequency 643 579 675 428 1483 842 368 1957 1841 449 35 428 1280 442 44 126 579 1746 209 2116 Percentage 27.7% 24.9% 29.0% 18.4% 63.8% 36.2% 15.8% 84.2% 79.2% 19.3% 1.5% 18.4% 55.1% 19.0% 1.9% 5.4% 24.9% 75.1% 9.0% 91.0% 10466 9416 52.6% 47.4% 1507 818 64.8% 35.2% Page 26 of 29 Table 2: Stage 1 logistic regression parameter estimates Parameter Intercept SOC (reference = Man/prof) GENDER (reference = Male) ETH (reference = White) DEG (reference = Unclassified) STEM (reference = No) SANDWICH (reference = No) UNITYPE (reference = Pre-92) SOC/DEG (reference = Man/prof and Unclassified) Assoc. prof/tech Semi/unskilled Unknown Female BME Unknown First Upper second Lower second Third/pass Yes Yes Post-92 Ass/tech and First Ass/tech and Upper second Ass/tech and Lower second Ass/tech and Third/pass Semi/unskilled and First Semi/unskilled and Upper second Semi/unskilled and Lower second Semi/unskilled and Third/pass Unknown and First Unknown and Upper second Unknown and Lower second Unknown and Third/pass STEM/GENDER (reference = No and Male) Odds ratio -1.9546 -.5158 -.6310 -.9792 .1071 .2683 .2391 .1118 -.0574 -.2808 -.6660 -.3914 -.5327 -.4740 Standard Error .1266 .2853 .3471 .5243 .0553 .0576 .1847 .1442 .1305 .1562 .3307 .0790 .0767 .0480 .597 .532 .376 1.113 1.308 1.270 1.118 .944 .755 .514 .676 .587 .623 <.001 .071 .069 .062 .053 <.001 .195 .438 .660 .072 .044 <.001 <.001 <.001 .7388 .3124 2.093 .018 .6124 .2969 1.845 .039 .5015 .3205 1.651 .118 1.0516 .4956 2.862 .034 1.2095 .3759 3.352 .001 1.0449 .3560 2.843 .003 .8430 .3719 2.323 .023 .4370 .5511 1.548 .428 1.1728 .5478 3.231 .032 1.1829 .5319 3.264 .026 .9242 .5466 2.520 .091 .0744 .7589 1.077 .922 .2824 .1049 1.326 .007 Estimate Yes and Female Page 27 of 29 p Table 3: Odds ratio estimates for STEM and GENDER interaction 1.476* STEM subject and Female (reference = Male) 1.113 Non-STEM subject and Female (reference = Male) .897 STEM subject and Female (reference = not STEM) .676* STEM subject and Male (reference = not STEM) * = significant at the 5% level Table 4: Odds ratio estimates for DEG and SOC interaction, relative to Unclassified degree Upper Lower Third/ First Second Second Pass 1.118 0.944 0.755 0.514* Prof/man 2.341* 1.742* 1.247 1.471 Assoc. prof/tech * * 3.748 2.684 1.754 0.795 Semi/unskilled * * 3.613 3.082 1.903 0.553 Unknown * = significant at the 5% level Page 28 of 29 Table 5: Stage 2 STEM logistic regression parameter estimates Parameter Intercept SOC (reference = Man/prof) GENDER (reference = Male) ETH (reference = White) SANDWICH (reference = No) UNITYPE (reference = Pre-92) Estimate -2.5918 .2343 .6016 .0258 .4269 .3942 .1096 -.4348 -.3226 Assoc. prof/tech Semi/unskilled Unknown Female BME Unknown Yes Post-92 Standard Error .0856 .1256 .1183 .1288 .0890 .1028 .3771 .1362 .1052 Odds ratio 1.264 1.825 1.026 1.533 1.483 1.116 .647 .724 p <.001 .062 <.001 .841 <.001 .001 .771 .001 .002 Table 6: Stage 2 non-STEM logistic regression parameter estimates Parameter Intercept SOC (reference = Man/prof) GENDER (reference = Male) MATURE (reference = No) ETH (reference = White) DEG (reference = Unclassified) SANDWICH (reference = No) UNITYPE (reference = Pre-92) Estimate Assoc. prof/tech Semi/unskilled Unknown Female Yes BME Unknown First Upper second Lower second Third/pass Yes Post-92 Page 29 of 29 -2.4115 -.0086 .2161 .0325 .1146 -.1604 .2213 .2720 .9017 .5706 .1142 -.5199 -.6005 -.4941 Standard Error .1870 .0809 .0723 .0729 .0555 .0721 .0696 .2125 .1851 .1782 .1851 .2734 .0932 .0547 Odds ratio .991 1.241 1.033 1.121 .852 1.248 1.313 2.464 1.769 1.121 .595 .549 .610 p <.001 .916 .003 .655 .039 .026 .002 .200 <.001 .001 .537 .057 <.001 <.001