NEW DATA, NEW DOUBTS REVISED 2013 A Thesis Presented to the faculty of the Department of Economics California State University, Sacramento Submitted in partial satisfaction of the requirements for the degree of MASTER OF ARTS in Economics by Kathleen Lyden SUMMER 2013 © 2013 Kathleen Lyden ALL RIGHTS RESERVED ii NEW DATA, NEW DOUBTS REVISED 2013 A Thesis by Kathleen Lyden Approved by: __________________________________, Committee Chair Dr Stephen Perez __________________________________, Second Reader Dr David Lang ____________________________ Date iii Student: Kathleen Lyden I certify that this student has met the requirements for format contained in the University format manual, and that this thesis is suitable for shelving in the Library and credit is to be awarded for the thesis. __________________________, Graduate Coordinator ___________________ Dr Kristin Kiesel Date Department of Economics iv Abstract of NEW DATA, NEW DOUBTS REVISED 2013 by Kathleen Lyden In 2000, Burnside and Dollar wrote a seminal paper declaring their finding that international economic aid works to increase economic growth in less developed countries where there is good policy. However, in 2003, Easterly, Levine and Roodman, disputed this result, finding the inclusion of additional countries into the sample and a broadening of years covered by the study diminish the robustness of the policy variables’ significance. This thesis will recreate the work of Easterly, Levine and Roodman, and update it where they left off in 1997 with the most current data to determine if these results still hold true. Results suggest that policy is in deed significant to growth, irrespective of aid, though the aid-growth relationship is ambiguous, as is any interaction aid and policy have with growth. _______________________, Committee Chair Dr Stephen Perez _______________________ Date v TABLE OF CONTENTS Page List of Tables ......................................................................................................................... vii List of Figures ....................................................................................................................... viii Chapter 1. INTRODUCTION ………………...…………………………………………………….. 1 2. LITERATURE REVIEW ................................................................................................... 4 Economic Growth Theory............................................................................................ 4 Economic Aid in Economic Growth Theory ............................................................... 8 Policy in the Aid-Growth Theory Dynamic............................................................... 14 3. DATA .............................................................................................................................. 18 4. EMPIRICAL METHODOLOGY .................................................................................... 40 5. ANALYSIS ...................................................................................................................... 45 6. RESULTS, ROBUSTNESS TESTS, AND INTERPRETATIONS .................................. 53 Final Estimation Details............................................................................................. 53 Evaluations of Robustness ......................................................................................... 56 7. FINAL CONCLUSION .................................................................................................... 68 Appendix A. Descriptive Statistics ...................................................................................... 72 Appendix B. Initial Result Tables ........................................................................................ 73 Appendix C. Sign Table ....................................................................................................... 81 Appendix D. Final Result Table .......................................................................................... 82 Bibliography ........................................................................................................................... 83 vi LIST OF TABLES Tables Page 1. Table of Variables ………………………………… .………………………………. 18 2. Countries included in the Sample………………….… . ……………………………. 19 3. Time Periods in the Sample……………………….…………………………………. 20 vii LIST OF FIGURES Figures 1. Page Growth-Aid*Policy Plot ……………………………….………………………………. 58 viii 1 Chapter 1 INTRODUCTION As the history of the world has progressed, each stage of human interaction has brought with it a new kind of development strategy and concern. Yet, the method of donors allocating funds in such a consistent and seemingly benevolent fashion is one that had not existed until the end of World War II. Prior to that, aid programs, the patterns of one country contributing to the financial wellbeing of another, primarily consisted of conquest, imperialism and colonization. After World War II, the primary concerns were the rebuilding and economic stability of the nations devastated by the War and the transition of the former colonies into independent nation states. With the ascendance of embedded liberalism and Keynesian economics, the aid and development efforts focused on the construction of national institutions to support capitalism and open markets in the future. In this time period, the concept of poverty was also born from the World Bank and Robert McNamara’s call for the alleviation of poverty around the world (Birdsall & Londono, 1997). Thus, from this point on, a large portion of bilateral and multilateral aid has been focused on improving the lives of the poor around the world, and developing their national economies to raise their standards of living. Yet the image of the poor was that of helpless, unemployable individuals, too lazy or ignorant to help themselves (Hiatt & Woodworth, 2006). Thus, governments were seen as the only appropriate mechanism to receive and implement aid programs for the destitute and economic growth and 2 development typically are seen as the tools in which to bring about the desired change. The idea behind allocations at this level was that the benefits of the development of national economic infrastructures would trickle down to all the individuals in the society. However, this has not tended to be the result of such aid. Large-scale infrastructural projects are rarely of benefit to or are seen by the poor they are supposed to be helping (Maren, 1997), and tend to have little real impact on the development and growth of the domestic economy (Yunus, 2003). Finally, the policies and institutions seen as necessary for good governance are largely absent from these impoverished economies. For the developing world, this means the inefficient allocation of resources, overshadowed by powerful domestic interest groups, weak governments and corruption (Pietrobelli & Scarpa, 1992). As a result, much of the conversation surrounding aid has been about how to make it more efficient, how to transform the methods and modes of aid allocation so that it can better achieve its goals. In doing so, one must have a clearer understanding of what causes aid to not have the intended effect. Understanding the basic economic growth model, and how aid fits into that model, provides a crucial juncture for understanding these relationships. In 2000, Craig Burnside and David Dollar brought forth one of the seminal works on the role of aid in economic development. They found evidence that supported the hypothesis that aid better supports economic growth in countries with good policies. In 2003, William Easterly, Ross Levine and David Roodman repeated the work of Burnside and Dollar, adding to and revising the data. Their results failed to show the same robustness for good policy’s influence on aid’s impact of economic growth. 3 Both these studies cover 1970 through some portion of the 1990’s. The purpose of this research will be to expand the data to include all that is currently available and retest the hypothesis that good policy positively influences aids’ impact on economic growth. As economic growth and development often mean increased living standards, increased political stability, increasing numbers of markets to trade to and import from, especially for poorer economies, good policies are a way national governments can signal to the outside world—such as donors, intergovernmental organizations, nongovernmental organizations, businesses, entrepreneurs, tourists, immigrants—that it would be safe and well advised to spend their money in-country. The rest of this section will discuss how this research will proceed. The next chapter of this thesis contains a literature review of the economic growth theory, the role of developmental aid in growth theory, and how policy has entered into the aid-growth dynamic. Following that, Chapter 3, about the data, will describe the variables, where they originated, and how they are used in the analysis. The fourth chapter will be a discussion of the methodology used to analyze the data. After that will be the initial analysis in Chapter 5 and further analysis with robustness tests and interpretations in Chapter 6, followed by the final conclusion in Chapter 7. 4 Chapter 2 LITERATURE REVIEW Economic Growth Theory The basic form of economic growth theory calls for growth to be derived from the relationship of output to capital and labor inputs such that some relationship between increasing some portion of inputs will result in the increased output. The Neoclassical models of the 1950s and 1960s (Solow, 1956; Swan, 1956) call for a specification of the economy as closed, without technology, and with unitary elasticity of inputs which have a flexible relationship. The savings rate, which is constant and exogenous, influences the capital-output ratio. Differences in the capital-labor ratio lead to different growth paths over the long-run. Where capital-labor ratios are higher, long-run output per person tends to be higher; and where they are lower, long-run output per person tends to be lower. Although, within each growth path, population growth - and thus the labor force growth rate, which is also exogenously determined - is the driver to economic growth. However, these models were not seen to accurately explain the rapid growth of the more developed economies over time. Thus, scholars sought to incorporate some quantification for technology that would provide this additional explanatory power to the model. Ramsey (1928) developed a theory of household utility maximization that established the ratio of savings to consumption and labor to leisure time that a household chose to have. Cass (1965) and Koopmans (1965) applied this constraint to the SolowSwan theory of growth to better explain saving and consumption decisions, capital 5 accumulation, and through those the growth of the economy. Learning-by-doing was added (Arrow, 1962; Sheshinski, 1967) to the Neoclassical growth model to represent the accumulation of knowledge as a measure of the level of technology that could not be contributed to increases in the capital-labor ratio. Sheshinski (1967) found that the higher the level of investment in the accumulation of knowledge, the greater was the speed of technical progress and production efficiency. Thus, increasing output returns to investment were possible. Nelson and Phelps (1966) reach a similar conclusion by treating technology as an element that augments labor through education. Increases in education units per worker lead to higher levels of productivity and a greater propensity for those workers to encourage the dissemination of more technology, increasing the speed with which new ideas spread. Likewise, Mankiw, Romer and Weil (1992) find that technology augmented labor, via schooling levels, does a good job of explaining real world growth paths and convergence. It has further been suggested that, while education levels unequivocally contribute to the increased efficiency of workers, and through that generate higher levels of output and increase income levels, the education of female students provide greater returns than the education of male students (Shultz, 1993). However, these returns may often be over-looked as not productive to the labor market. On the other hand, Bils and Klenow (2000) find that there is not sufficient causal evidence to explain the level of growth attributed to knowledge accumulation through education levels. Rather, they suggest that it is likely that economic growth contributes significantly to education levels, as well as the likelihood that some other omitted 6 variable explains the linkage between initial capital stocks in 1960 and economic growth rates from 1960 to 1990. When compared side by side and with the theories that support technological progress through learning-by-doing, it has been found that models emphasizing human capital accumulation through schooling do not allow for convergence and do not explain historical growth paths as well as the models that explain human capital accumulation through learning-by-doing (Lucas, 1988). Since different kinds of production have different potentials, the variance in the accumulation of human capital specialized in certain industries allows for the possibilities of substantial differences in the economic growth paths that human capital accumulation through education cannot explain. No matter the method of the accumulation, several scholars have found that human capital stocks play a significant role in the ability of an economy to experience higher levels of long-run growth (Uzawa, 1965; Mulligan & Sala-i-Martin, 1993; Cabelle & Santos, 1993; Benhabib & Spiegel, 1994; Romer, 1990). With these conversations about technology and the investment necessary to encourage it, the drivers in economic growth theory shifted from being thought of as exogenous, or outside of the model, to being endogenous. With respect to technology, the intentional investment in human and physical capital, as well as the accumulated stocks of both kinds from all prior time periods, mean that the level of technology and the influence it has on the level of output, in large part, rely in decisions and outcomes in current and prior time periods (Romer, 1986). This can be further augmented through specialization of an industry or economy and the opening of the economy to international 7 trade (Romer, 1987, 1990). Krugman (1979) introduces the need for continual innovation alongside economic growth in order to ensure maintenance and enhancement of living standards in the long run. Further research supports the theory that innovation and imitation endogenously increase output growth (Segerstrom, 1991; Aghion & Howitt, 1992). However, they also suggest that innovation and imitation can have a negative impact on future levels of innovation and imitation due to large relative costs, the inability to fully capture the returns of innovation, and the prospect of negating rents on current innovations when future innovations become more marketable. Jones (1995) finds that this process of innovation is endogenous in the short run, relying primarily on the level of skilled labor. However, in the long run, the expansion of this skilled labor force is dependent on the exogenous population growth to increase the size of the labor force as a whole. An alternate explanation for the sustained high levels of growth that have been observed is that economic growth is linked to political development of democratic institutions. Friedman (1962) cites that the historical trend for the vast majority of human history was one of servitude and poverty. However, with the rise of economic opportunities associated with the free market and capitalist institutions, political liberties flourished. As households were permitted to interact in cooperative transactions to the mutual benefit of both parties, political rights developed, and through the two, prosperity increased. Huber, Rueschemeyer and Stephens (1993) suggest that it is not just the rise in living standards that has led to greater political freedoms, but rather the economic and 8 political environment that alters the social and class structure of a society through industrialization and urbanization that enable this dual development. Economic Aid in Economic Growth Theory “[Economic] growth theory became excessively technical and steadily lost contact with empirical applications. In contrast, development economists, who are required to give advice to sick countries, retained an applied perspective and tended to use models that were technically unsophisticated but empirically usefully. The fields of economic development and economic growth drifted apart, and the two areas became almost completely separated,” Barro & Sala-i-Martin, 1995; p12. Aid, itself, often gets a bad wrap. With solicitations from nongovernmental organizations on how you can save a child for less than the price of coffee every day, media reports about food aid being diverted or rotting before distribution, and investigations into improprieties within and high operations costs at private aid groups, sentiment towards aid organizations is running low (Maren, 1997). This reputation is not helped by the facts that aid does not often align with recipient need, accountability is typically low, and maintenance falls to the recipient who cannot afford to maintain and whose requests for maintenance funds fall on deaf ears (Easterly, 2006; Wallace et al, 2007; Chandra, 2008). Further, the volatility of aid tends to increase uncertainty throughout an already delicate economy (Lensink & Morrissey, 2000). Additional conditionalities and economic restructuring tools such as trade liberalization and privatization have their share of problems too. Trade liberalization is supposed to put all 9 trading partners, rich and poor, on a more level playing field, though that rarely occurs. The requirement frequently hinders the poorer country from maintaining budget revenues that are often reliant on tariffs for half their income, reduces business activity, and increases unemployment (Chang, 2008). The idea behind privatization is that private firms operate businesses more efficiently than governments do. However, state ownership in poorer countries often occurs because no other enterprise has the resources or knowledge to better meet the public need. Privatizing, only a change of ownership, not only fails to address the issues that it intends to correct, but often generates deeper problems (Chang, 2008). Structural adjustment programs as a whole have not had the intended results and may lead to increased instability (Burnell, 1997; Cohen & Easterly, 2009; Lensink & Morrissey, 2000). However, the number of people living in absolute poverty and the percent of the population living in absolute poverty are lower now than they were in 19901. The world life expectancy at birth has risen for both males and females2. The percent of the population with access to improved sanitation facilities and the percent in rural areas with improved access to a water source have risen3. Infant mortality per 1,000 live births has declined4. Therefore, something must be going right. Aid as a means of encouraging economic growth and development first became an arena of interest following the Second World War and the extension of economic assistance, through grants and loans, to countries that were devastated by that war. With World Bank. “Poverty & Equity Data: World Development Indicators, 2013” Accessed July 2013 < http://povertydata.worldbank.org/poverty> Global Poverty Indicators – People living on less than $1.25/day (PPP) in millions: 1,908 (1990); 1,215 (2010) Poverty headcount ratio at $1.25/day (PPP) as % of population: 43.1% (1990); 20.6% (2010) 2 Females: 70 (2003); 72 (2011); Males: 65.8 (2003); 67.9 (2011) 3 Improved sanitation facilities: 58.2% (2003); 62.6% (2011); improved water source, rural: 74.3% (2003); 80.4% (2010) 4 Mortality rate, infant: 46.8% (2003); 36.9% (2011) 1 10 the creation of the World Bank and the International Monetary Fund, the world had multilateral organizations that could help promote such rebuilding. Then, after the majority of the reconstruction was under way, these institutions turned their attention towards the newly independent or soon to be independent countries constructed with the decline of colonialization. As a means of maintaining historical markets for colonial masters, as well as encouraging the expansion of natural resource suppliers and final goods markets, newly independent countries represented a bonanza for developed economies (Chenery & Strout, 1966). Further, with the re-innovation of the World Bank in the McNamara era, foreign aid became a vehicle for alleviating poverty and raising living standards for the poorest of the poor, for helping to prevent the spread of communism through the expansion of democracy, which required mobilization of society that only elevation of living standards could instigate. Within the growth framework, the role of aid remains ambiguous. Some scholars find that aid is positively related to growth while others find it is either never significant or is negatively related to growth. Much recent literature expresses conditionalities of aid, which, when present, lead to a positive aid-growth relationship, or find that aid indirectly impacts growth through other variables that directly influence growth, such as investment or government expenditure. Early aid-growth theory centers on the idea that aid is used to fill gaps that occur within less developed economies. By then filling those gaps, aid translates to economic growth. The first gap that aid addresses is the gap most poor economies face between savings and investment. The savings rate in less developed countries tends to be lower, ad 11 thus is not sufficient to meet the investment needs or desires. Here, aid supplements savings and a higher level of investment can occur than would naturally be the case. The second gap occurs between imports and exports. In this instance, the income generated by exports, typically lower level manufactured and primary goods, does not cover the expenses for the desired imports. Aid can further enable the opportunity for growth by filling this gap. Using the two-gap model based on the Harrod-Domer growth model, Chenery & Strout (1966) found that aid positively impacts growth through increased savings and investment, higher levels of human and physical capital, and institutional development and growth. Adelman and Chenery (1966) found similar results in their case study for Greece. Papanek (1972, 1973), also using the two-gap model, found aid explained more growth than any of the other variables. Fayissa and El-Kaissy (1999) found that aid to be positive and significantly related to growth, particularly when human capital is considered. Griffin and Enos (1970), using a one-gap savings model and testing only aid, found that aid does not positively affect growth, but may divert domestic savings and investment with it. These findings were challenged due to model and variable misspecification (Snyder, 1990). However, Bornschier et al (1978) found that in the short run aid increases growth, but in the long run aid has a negative impact on growth. Mosley (1980) used a similar model and found that aid is not significant for the whole sample of less developed countries, but it is for the poorest. Further, the aid-savings relationship was negative. This, however, is likely related to the fact that poor countries have trouble saving, and has nothing to do with aid. Singh (1985) found that aid is not significant 12 when government intervention is considered. Islam (1992) found that aid as a whole was not signifiacnt to growth, but that loans are better than grants and lagged one time period food aid is better than commodity and project aid. In Cameroon, Mbaku (1993) found that neither aid as a whole nor aid separated into grants and loans has any significant impact on growth, though domestic savings does. Countering this, Giles (1994) found that when aid variables are lagged one time period, grant aid and loan aid are both positive and significant in contributing to growth. Since the models based primarily on savings or investment and aid, much of the research that has followed has been a hodge podge of models and variables. Some models will include savings or investment variables while others will not. Some will include capital formulation, labor force or population variables. Regime type, economic and political risk, and education levels have been other variables considered, as well as assassinations, ethnolinguistic fractionalization, regional or colonial variables, and climate related variables. This has led to a lack of cohesion and consensus on what is the real relationship between economic aid and growth. Durbarry et al (1998), Lensink and White (2001), and Radelet et al (2004) found that aid is positively related to growth, but with diminishing returns. Gounder (2001) found that aid and all its components are positive and significant in contributing to growth in Fiji. Gomanee et al (2002) found that while aid is not immediately effective, lagged results show that a 1% increase in aid translates to a 0.33% increase in growth through investment and government consumption transmission mechanisms. Addison et al (2005) found that aid works broadly to increase growth that the criticism, that aid is harmful has not been supported 13 by the research, and that aid effectiveness is not the reason for lack of growth in SubSaharan Africa. Minoiu and Reddy (2010) found that, when aid is separated between developmental and non-developmental aid, developmental aid has strong long-run benefits to growth, such that even a small amount of the right kind of aid can have longlasting effects. Several studies have found conflicting results. Boone (1996) found that aid does not increase growth or investment, and that it does not benefit human development indicators. Yet, it does increase consumption and the size of government. Knack (2000) found that increased aid decreases government quality, which could help explain how aid might negatively impact growth. Islam (2003) found that aid has a negative relationship with growth, except when the regime is totalitarian. With totalitarian regimes, aid has a positive relationship to growth with diminishing returns. Rajan and Subramanian (2005) found that aid reduces competitiveness as expressed through more labor-intense, exportoriented manufactuing. As a result, labor, wages and growth decline. Friedman (1958) found economic aid to be only a political tool, and that capital given as aid is often wasted, contributing nothing to growth. Poor protection of property rights and the maintenance of international trade protections are the greatest barriers to economic prosperity and growth. Chenery et al (1979) found that aid as a whole has failed to bring growth, though actual country-to-country results vary. Chatterjee et al (2007) found that aid had no effect on growth due to fungability. 14 Policy in the Aid-Growth Theory Dynamic In the last decade of the twentieth century, scholars and policy makers were looking at growth, aid and the poverty statistics they had at their disposal, trying to find a way to make better tools for aid efficiency and measurement of real outcomes. There had been an increasing move in the literature to consider corruption, the quality of bureaucracy, the business environment and other economic and political issues that might affect growth. Burnside and Dollar (1997) published the first well-documented findings that policy, defined as an index of a balanced budget variable, inflation, and a variable for economic openness, is positive and statistically significant in determining growth. The idea behind the index is that the budget variable instruments for fiscal policy, inflation instruments for monetary policy, and economic openness instruments for trade policy. Taken together in a combined index, they will relay capacity of the economy to absorb, allocate, and utilize aid funds so that they benefit growth. These findings led to the World Bank’s Assessing Aid: What Works, What Doesn’t, and Why (1998) report and corroboration that aid will not always lead to economic growth, but is dependent on ‘good’ economic policies as outlined by Burnside and Dollar. The report also suggested that growth is dependent on political institutions, such as the rule of law, the level of corruption, the function of the bureaucracy and accountability in government. As a result, the Bank formulated policy recommendations to donor governments and agencies that economic aid be given to recipients with good policy, and that recipients with poor policies be offered aid only as a reward after changing their policies. In 2000, Burnside and Dollar published their seminal 15 paper further substantiating findings that policy has a role in the economic growth model. They clarified that, while they found that aid has a positive and significant impact on growth when good economic policies are in place, it has no significant impact when poor policies are present. They further suggest that it is really the good policies that are most important for growth, and that aid can only be most effective when allocated to recipients with good policies. Additional research has found that the allocation of aid is positively related to growth when policies and institutions of good governance are stronger (Ali &Isse, 2005; Dollar & Levin, 2005; Dollar & Levin, 2006). Collier and Dollar (2001, 2002) further contribute to this with findings that suggest that policy reforms and efficient aid allocations to recipients that continue to make these good policy economic reforms contribute to growth such that poverty could be halved by 2015. Additional research by Cogneau and Naudet (2007) support the findings that good policy is necessary to allow aid to be efficiently allocated within the recipient economy for higher levels of growth and poverty reduction. This relationship still holds when negative shocks are introduced (Collier & Dehn, 2001) and in post-conflict societies (Collier & Hoeffler, 2002), and the timing of certain policies and aid allocations seem to become more important. Additional results suggest that policy helps aid be more effective, but that it is not a conditionality (Dalgaard & Hansen, 2001). Hudson and Mosley (2001) found somewhat conflicting evidence that good policy matters in enhancing growth, but that it does not necessarily make aid any more or less efficient. Other scholars have criticized the World Bank findings and policy suggestions, and additional research suggests that good governance policies and institutions do not 16 necessarily improve the relationship between aid flows and economic growth. Economic aid has been shown to increase growth and reduce poverty, while these economic good governance policies have no theoretical link to growth (Degnbol-Martinussen & Engberg-Pedersen, 2003). Furthermore, allocations should be made based on need and the ablility to align donor and recipient needs, not with some ideal of past performance (Degnbol-Martinussen & Engberg-Pedersen, 2003; Hermes & Lensink, 2001). Additionally, punishing poor performers for past behavior is both unfair and possibly presumptuous (Degnbol-Martinussen & Engberg-Pedersen, 2003; Hermes & Lensink, 2001). Poor governments rarely have the resources to control very many aspects of their government and economy. However, when they do, donor governments and policy analysts will not necessarily have a better understanding of the local environment to help create and implement workable plans that will better meet the needs of the economy and the donors’ expectations. There is evidence that good governance policies and institutions do not necessarily improve the relationship between aid flows and economic growth, more specifically that the aid-growth relationship is positive and significant irrespective of policy and that policy does not add anything to the relationship (Hansen & Tarp, 2000, 2001; Guillaumont & Chauvet, 2001; Morrissey, 2001; Easterly, Levine, & Roodman, 2003; Ram, 2004; Rajan & Subramanian, 2008). Further findings suggest that not only is policy not relevant in the relationship, but that a geographical or climate variable does contribute significantly to determining aid on growth (Dalgaard, Hansen & Tarp, 2004; Roodman, 2004). 17 Further, when considering indicators of good governance policies, the literature suggests donor inconsistency. First, it is typically accepted that the quality of governance institutions are a determining factor in the level of corruption in an economy, as low quality governance tends to be indicative of weak governments. Further, weak governments tend to have little control over their agencies and departments, (Shleifer & Vishny, 1993). However, when donors allocate aid, they frequently do not reward corrupt recipients much differently than the non-corrupt, (Alesina &Weder, 2002). While there is evidence that this varies among donors, when there is a strong push for good governance, accountability, and transparency in the rhetoric of aid allocations, the failure to differentiate between actual quality of recipient governance sends the signal that the donors are not really serious about the quality of governance or the level of corruption. Also with respect to the donor motives and considerations in aid allocations, evidence shows that the majority of the time, the self-interest of donors outweighs the needs of the recipients and the stated policy requirements and preferences, such as high quality governance and low levels of corruption, of the donors, (Hook, 1995; Alesina & Dollar, 2000; Zanger, 2000; Neumayer, 2003). 18 Chapter 3 DATA The variables used in this research are those that were used in both the Burnside and Dollar (2000) and the Easterly, Levine, and Roodman (2003) papers, though there are slight deviations between those two works, and between those works and this one. All of the original data from both studies are available and the results of Easterly, Levine, and Roodman have been duplicated with files available on the Center for Global Development website. Table 1: Table of Variables Expected Sign (+) (+) (+) (-) (-) (+) (-) (-) (-) (+) (+) ( +/ - ) (-) ( +/ - ) Instruments to Aid/ aid*policy (+) (-) (+) (+) (+) Name GDPG AID POLICY#_b1 BB INFL SACW GDP GDP 1970 SSA EAsia ICRGE M2 (-1) ETHNF _Period* DN1900 Outliers#_b1 Variable Per Capita GDP Growth Net total ODA, constant 2011 US millions, from all donors Policy Budget Surplus as % of GDP Inflation - Consumer Price Index (bd or elr) Inflation - GDP deflator (kl) Total imports plus total exports over per capita GDP, in constant 2005 US$ Initial GDP per Capita for each time period in 2000 US$ Initial GDP per Capital in 1970 in 2000 US$ Sub-Saharan Africa Dummy variable East Asia Dummy variable Institutional Quality Lagged money supply Ethnic Fractionalization Time Period dummies Dummy for low income countries Aid*Policy falling>±2SD from mean dummy variable Primary Source Range of available years World Bank WDI 1961-2011 OECD.Stat DAC2a 1960-2011 Constructed from Data 1966-2009 ELR; IMF World Econ Outlook 1960-1997 World Bank WDI 1960-2011 World Bank WDI 1960 - 2011 Penn World Tables 1960 - 2010 World Bank WDI 1960-2011 World Bank WDI 1970 ELR Constant ELR Constant ELR Constant World Bank WDI 1960-2011 ELR Constant Constructed from Data Constant ELR Constant Constructed from Data Constant LPOP ARMS-1 FRZ EGYPT CENTAM Natural Logarithm of Population Lagged Arms imports as % of total imports Dummy for Former French Colonies Dummy for Egypt Dummy for Central American countries World Bank WDI World Bank WDI ELR ELR ELR 1960-2011 1960-2011 Constant Constant Constant 19 Countries in the Sample There are 63 countries in this sample, 56 from the original Burnside-Dollar (BD) data set. Easterly, Levine, and Roodman (ELR) added the other seven. There was one additional country, Somalia, in the sample, but it was dropped for lack of consistent data. For the first set of estimations, only the BD countries are used. However, in all of the other estimations, it was the full sample of countries. Table 2 Countries included in the Sample Ghana * Algeria Guatemala Argentina Guyana Paraguay Bolivia Haiti Peru Botswana Honduras Philippines Brazil India Senegal Burkina Faso Indonesia Sierra Leone Cameroon * Chile Colombia * Iran * Papua New Guinea South Africa Jamaica Sri Lanka * Jordan Syria Congo, Democratic Republic of the Kenya Tanzania Congo, Republic of the Korea, Republic of Thailand Costa Rica Madagascar Togo Cote d'Ivore Malawi Trinidad & Tobago Dominican Republic Malaysia Tunisia Ecuador Mali Turkey Egypt Mexico El Salvador Morocco Uruguay Ethiopia Myanmar Venezuela Gabon Nicaragua Zambia Gambia Niger Zimbabwe Nigeria * * Countries Not in original BD study Pakistan * Uganda 20 Time periods in the Sample This data set covers the years from 1962 – 2009, with annual data converted into four-year averages. The original BD research covered time periods two through seven (1970-1993), as shown in Table 3. This set of time periods was tested twice, once with only the BD sample countries and then with the full sample of countries. Next, the ELR research covers time periods two through eight (1970-1997). This set of time periods was only tested with the full sample of countries. Finally, the extension of the data this research offers includes time periods one through eleven (1966-2009). Time period zero (0) was dropped for lack of sufficient data. This set of time periods was also only tested with the full sample of countries. Table 3: Time Periods in the Sample Period 0 1 2 3 4 5 6 7 8 9 10 11 Period start 1962 1966 1970 1974 1978 1982 1986 1990 1994 1998 2002 2006 Period end 1965 1969 1973 1977 1981 1985 1989 1993 1997 2001 2005 2009 Economic Growth First, the dependent variable tested by all three works, GDP growth, is the annual per capita growth of gross domestic product (GDP). For the ELR paper, this data came from 21 the World Bank World Development Indicators database, 2002. For this work, the majority of this data came from the World Bank World Development Indicators Database, 2013. Missing data was also calculated from per capita GDP values5 or extracted from the ELR database6. As compared to the data in the original studies, the economic growth data in this study has a 0.9583 correlation value with the economic data in the BD study and a 0.9840 correlation value with the ELR data. The mean annual economic growth is 1.66%, with the median of 1.82%, indicating slightly higher positive growth and fewer instances of low and negative growth across the sample. The standard deviation of economic growth values is 3.36, indicating that 95% of all economic growth values for this sample should fall within a range ±6.72 above or below the mean, or between -5.06% and 8.38%. The minimum growth for this sample was -13.21%, while the maximum was 21.69%. Developmental Aid The aid variable used in the original works was Effective Development Assistance (EDA) as a percent of GDP per capita. EDA is a measure of international development assistance introduced by Chang, Fernández-Arias and Servén in “Measuring Aid Flows: A New Approach,” (1998). This value for aid is unique because it estimates a more accurate grant-value to official loans by discounting them for the anticipated future interest payments, adding this to the total grant value, while excluding technical Countries for which data was retrieved this way are: Myanmar 2005-2010; Niger 1961-1965; Sierra Leone 1961-1965 6 Haiti 1970-1989; Tanzania 1982-85 5 22 assistance, which they contend really does more to benefit the donor than the recipient. The full database of results from this work, for 1975 – 1995, can be found on the World Bank website. Easterly, Levine and Roodman found that there was a high level of correlation between the EDA and Net Official Development Assistance (Net ODA). Thus, they used Net ODA to extrapolate EDA for 1970-1974 and 1996-1997 to complete the years of aid data necessary for their sample. When calculated from the original Chang, Fernández-Arias and Servén data and current Net ODA data, obtained from the Organization for Economic Co-operation and Development (OECD), the correlation between the two values for all countries in this sample for 1975 – 1995 is 0.8855. It is not clear whether EDA values are in current or constant million US$. However, when adjusting Net ODA values to current year rather than 2011 millions of US$, the correlation between the two values increases to 0.95627. Thus, the decision was made to use Net ODA as the measure for aid in this research, rather than try to extrapolate for over 20 years worth of data or reconstruct all the appropriate loan detail information that would enable the extension of the EDA database. These values were then adjusted to 2000 US$ and divided by the 2000 US$ GDP value obtained from the World Bank’s World Development Indicators, 2013, database to get aid/GDP. The aid data in this study has a correlation value of 0.8113 with the BD aid variable, and 0.8188 with the ELR aid variable. The average country in an average year received $638.5 million in net official development assistance. With the median net ODA of $359.8 million, this suggests most 7 Bureau of Labor Statistics CPI inflation calculator was used in adjusting all current year to constant year calculations 23 countries received much lower sums of net ODA while a few received much larger. The standard deviation of $883.4 million indicates that 95% of the sample country aid receipts should fall within the range of ±$1766.8 million of the mean, or between -$1150 million and $2405.3 million. The lowest sample observation is -$392.3 million. In terms of percent of GDP, the mean net ODA is 3.29%. This suggests that in an average year, the average recipient country could expect net ODA equivalent of about 3.29% of its GDP. However, with a median of 1.67%, the results indicate that it is likely that most countries receive much smaller aid allocations in terms of their GDP, while a few others receive much larger portions. The standard deviation of 4.27% and minimum Net ODA observation of -0.07% support that. Given the standard deviation, 95% of the countries’ Net ODA receipts should fall between ±8.54% GDP from the mean, or between -5.35% GDP and 11.83% GDP. Budget Surplus/Balanced Budget Variable There are three variables that go into the creation of the policy index variable, with the federal government budget variable being the first. This variable is expressed as total revenue minus total expenditure as a percent of GDP. Thus, a negative value indicates a budget deficit, while a positive value indicates a budget surplus. Data for ELR was retrieved from the World Bank World Development Indicator database, 2002, with additional data extrapolated from the IMF International Financial Statistics database, 2002. For this research, the data for the earlier years of this variable was taken from the ELR database, while data for later years came from the IMF World Economic Outlook 24 Database, 20138. The data in this research has a correlation value with the BD data of 0.9213, and with the ELR data of 0.9989. The mean budget variable is -0.03, indicating that the average government, in an average year, will have a 3% budget deficit. The standard deviation for this variable is 0.05, meaning that 95% of all budget values should fall within ±0.10 of the mean, or within the range of -13% and 7%. Inflation The second variable that goes into the policy index variable is inflation. ELR define this as the natural logarithm of one plus the inflation variable. Both BD and ELR have selected to use the consumer price index (CPI) as their measure of inflation. ELR obtain this data from the World Bank World Development Indicator database, 2002. In this research, both the GDP deflator and the CPI are used as measures of inflation. The GDP deflator was added for several reasons. First, it is more widely available than the CPI. Second, as a measure of GDP inflation, rather than consumer prices, it seems a more reasonable measure to associate with GDP growth as the GDP deflator addresses inflation within the economy as a whole, while the CPI only looks at consumer-related inflation (Bureau of Labor Statistics, 2011; Politonomist, 2009). The CPI measures the prices of given set of durable and non-durable consumer goods like food and housing, while the GDP deflator considers all of the components of the economy that make up the GDP (Bureau of Labor Statistics, 2011; Politonomist, 2009; United Nations, 2009). Thus, the Additional data from PRS Group Annual Country Risk Reports: Egypt 1998-99; Gambia 1998-99; Guatemala 1998-99; Honduras 199899; Mali 1998-99; Nicaragua 1998-99; Nigeria 1998-99; Peru 1998-99; Sierra Leone 1998-99; South Africa; 1998-99; Trinidad & Tobago 1998; Uruguay 1998-99; Zambia 1998-99 8 25 GDP deflator includes inflationary influences from not only consumption, but investments, net exports and government expenditures as well (Bureau of Labor Statistics, 2011; Politonomist, 2009). Both CPI and GDP deflator data for this research come from the World Bank World Development Indicator database, 2013. Missing data was retrieved from the ELR database9. When correlated with the original BD and ELR inflation variables, the CPI inflation variable in this research had correlation values of 0.8628 and 0.8991, respectively. When the GDP deflator variable was correlated with the original BD and ELR inflation variables, the correlations values were 0.9738 and 0.7254, respectively. The average CPI inflation value is 44.12%, with a median of 9.19% and a standard deviation of 304.72%. So the range within which 95% of all sample values should fall is between -565.32% and 653.56%. The minimum value in the sample is -3.62%, while the maximum is 6251.5%. For the purposes of the data as used in this analysis, the natural logarithm of (1+CPI), the mean value is 0.174, with a median of 0.088 and a standard deviation of 0.364. Thus, 95% of the sample should fall within ±0.728 of the mean, or between -0.554 and 0.902. The sample minimum is -0.037 and the maximum is 4.151. When looking at the GDP deflator inflation variable data, the pattern of relatively high mean, relatively low median, and large standard deviation are similar. The GDP deflator mean is 53.85%, with a median of 8.89% and a standard deviation of 378.89%. The range within which 95% of the sample should fall is between -703.93% and 811.63%, while the sample has a minimum of -10.06% and a maximum of 7014.81%. Observation (country and time period) from this source were: Chile 1-8, Costa Rica 1-5, Nicaragua 2-8; Sierra Leone 1-8; Uganda 4; Venezuela 1-8. 9 26 For the purposes of the data as used in this analysis, the natural logarithm of (1+GDP deflator), the mean value is 0.178, with a median of 0.085 and a standard deviation of 0.406. Thus, 95% of the sample should fall within ±0.812 of the mean, or between -0.634 and 0.990. The sample minimum is -0.106 and the maximum is 4.265. Openness/Sachs-Wagner Variable The final variable that goes into the policy index variable is economic openness. BD use the Sachs-Wagner variable, which rates an economy as open or closed based on the black market exchange rate premium, the levels of tariff and non-tariff barriers, whether the government is socialist, and the level of government involvement in the primary crop export market. ELR use the same measure for openness, though up-date it to more accurately reflect the true level of economic openness. The trade information was obtained from UNCTAD, the black market exchange rate premium from the Global Development Network database and assorted other resources, the export market information from the IMF, and the country’s status as Socialist from the CIA. As several of these variables are not available in current or consistent data, the measure of openness used in this research is total trade over GDP, which is total imports plus total exports as a percent of per capita GDP. This measure was obtained from the Penn World Tables. As the openness variables are different, their correlation values are not that high: 0.1905 with the BD openness variable and 0.2517 with the ELR openness variable. Another measure of openness considered and rejected due to its low correlation with growth was the total domestic trade as a percent of world trade. The data for world trade 27 for this variable was obtained from the WTO Total Merchandise Trade data set, while world GDP data came from the World Bank World Development Indicator Database, 2013. Like the trade as a percent of GDP openness variable, this openness variable is not all that similar to the Sachs-Wagner openness variable used by BD and ELR. Thus the correlation values are relatively low, at 0.0754 and 0.1319, respectively. The average country in the average year had trade equal to 57.66% of their GDP. The median trade value was 52.30%, suggesting a more even distribution of this variable. The standard deviation of 32.37 means that 95% of the sample observations should fall between ±64.74% of the mean, or between 0% and 122.40%. The minimum sample observation was 5.18%, while the maximum was 205.54%. Policy Variable As mentioned previously, the policy variable is an index of three variables, constructed for each time period or sample set. The variables that are included in this index are the balanced budget or budget deficit variable, the inflation variable, and the openness variable. To create this variable, the original BD “Policy Index Forming” regression was estimated: growtht,i = β0 + β1lgdpt,i + β2ethnolinguistic_fractionalizationt,i + β3SSAt,i + β4EAsiat,i + β5 institutional_qualityt,i + β6(M2/GDP)t-1,i + β7budget_surplust,i + β8inflationt,i + β9opennesst,i + ε (2) Individual sample values for the balanced budget, inflation and openness variables are then used to determine the policy value for that sample observations, such that: 28 Policyt,i= β0 + β7budget_surplust,i + β8inflationt,i + β9opennesst,i (3) In this research, there are three different time period and two different samples that require the construction of separate policy variables. The separate time periods are the original BD time frame of 1970-1993, the original ELR timeframe of 1970-1997, and the full timeframe of all available data. For the first sample, these three policy variables contain data for all ELR countries for which data is available. The second sample is for the only the original BD countries, in the BD analysis years of 1970-1993. Additionally, the interest in two different inflation variables necessitates the construction of a second set of policy variables for each time period and sample, one using the CPI inflation variable as the inflation variable in the policy index-forming regression, and the other using the GDP deflator. For the differences with the openness variable and the inclusion of a different inflation variable, the correlation values between the original BD and ELR policy variables and the policy variables generated through this research were surprisingly high. The BD policy variable correlation value with the CPI policy variable was 0.6519, while that with the GDP deflator variable was 0.6787. The ELR policy variable correlation value with the CPI policy variable was 0.7743, while its correlation with the GDP deflator was 0.8028. Further, the CPI policy variable correlation value to growth was 0.3417, while the GDP deflator value was slightly weaker at 0.3369. The mean of the CPI policy variable is 3.93, while the median is 4.07. The standard deviation is 0.77, indicating that 95% of all sample observations should fall within ±1.54 29 of the mean, or between 2.39 and 5.47. However, the sample minimum is -3.58 and the maximum is 6.15. The mean of the GDP deflator policy variable is 6.17, with a median of 6.31. The standard deviation for this variable is 0.79, indicating that 95% of all sample observations should fall between ±1.58 of the mean, or between 3.01 and 9.33. The sample minimum, however, is -0.52, while the maximum is 8.90. Initial GDP The GDP variable used in the original works is the natural logarithm of per capita GDP for the first year in each time period in constant 1985 US$. This data was retrieved from the Penn World Table, 1991. For this work, two values of initial GDP were used. The first was the natural log of per capita GDP for the first year in each time period in constant 2000 US$. This data was retrieved from the World Bank World Development Indicators Database, 2013. Missing data was also located at the United Nations Statistics Division, National Accounts Division of Main Aggregates10, or calculated from per capita GDP growth values11. As compared to the data in the original studies, the economic growth data in this study has a 0.8976 correlation value with the economic data in both the BD and the ELR studies. The mean value for this measure of initial GDP is $1623.56 per capita. Thus, the average citizen in the average sample country could expect an income of $1623.56 in a given year between 1962 and 2009. With a standard deviation of $1806.14, this indicates 10 11 Myanmar 1970-2010: values were extracted in current US$ and converted into 2000US$ using the CPI Myanmar 1960-1969 30 that 95% of all sample countries should fall between ±3612.08 of the mean, or within the range of $0 and $5235.84 per capita. The median per capita GDP value for the sample was $953.37 and no country actually had negative GDP, suggesting that there were many countries with years of lower levels of per capita GDP. The second value of initial GDP used in this study was the natural logarithm of per capital GDP for 1970. The data for this variable was also retrieved from the World Bank World Development Indicators Database, 2013. Missing data was retrieved from the Penn World Tables12. The average for this value is $1317.37, while the median is $776.23. As with the original variable for GDP, the data still suggests that most countries have a smaller per capita GDP, while a few have a much larger per capita GDP. With a standard deviation of $1393.17, the range within which 95% of all sample data should fall is between ± $2786.34, or within the range of $0 and $4103.71. The minimum 1970 GDP was $121.24 for Malawi, while the maximum was $6611.23 for Argentina. Institutional Quality The institutional quality variable is a measure of political risk at a particular point in time, 1980 for BD and 1982 for ELR. The basis for this measure comes from Knack and Keefer (1995), who argue that an economy needs a stable, cooperative political environment to grow. ELR use an average of the PRS Group’s IRIS III data set scores for: the expropriation risk, the rule of law, the government credibility rating, corruption in 12 Ethiopia, Haiti, Jordan, Tanzania, Uganda 31 government, and the quality of bureaucracy. The higher the value, the better is the institutional quality. This research uses the 1982 average that ELR use in their study, which has a 0.0975 correlation with growth. The mean institutional quality score was 4.36 out of 10, while the median score was 4.48, suggesting that more countries in the sample scored high, but those that scored poorly, did much worse than those that scored well. The standard deviation was 1.56, suggesting that 95% of all sample should have ICRGE scores that fall between ± 3.12 of the mean or between 1.24 and 7.48. Lagged money supply The money supply variable is the M2 definition of money, which includes all physical cash and coin, as well as most easily accessible deposits and funds. The variable is expressed as a percent of GDP and lagged one time period. The same definition of money supply is used for all three studies. Both ELR and this research obtain this data from the World Bank World Development Indicator database, 2002 and 2013, respectively. Missing data for this research was filled using data from ELR13.The variable in this research has a correlation value of 0.7839 with the BD money supply variable, and 0.8047 with the ELR money supply variable. The mean value for the money supply was 43.21% of GDP, thought the median value was 27.90% of GDP. This suggests that most countries in most years had smaller money supplies than the average, but those with a larger money supply had a substantially larger 13 Observation (country and time period) from this source were: Democratic Republic of the Congo 8; Haiti 1-6 32 one. Supporting this is the very large standard deviation value of 255.86. Money supply in the sample does not become negative. So 95% of all money supply values in the samples should fall between ±511.72 of the mean, or 0 and 554.93% of GDP. The minimum is 4.16, while the maximum is 6939.22. Regional Dummies Regional Dummy variables are used to account for similarities between countries in a given region that affect the dependent variable. There are five regional dummy variables in this research. Two, Sub-Saharan Africa (SSA) and East Asia (EAsia), are used in the primary regressions. SSA are all the countries in the sample that are located in SubSaharan Africa. EAsia are the countries in the sample BD and then ELR considered to be fast growing East Asian economies: Indonesia, South Korea, Malaysia, the Philippines, and Thailand. The other three, Egypt, Central America (CentAm), and French Zone (Frz) are instrumental variables in the two-stage least squares (2SLS) regressions to instrument for aid and aid*policy. As these are dummy variables and not open to much ambiguity or interpretation, they are the same for all three studies. In this research, the SSA variable has a -0.1980 correlation value with growth. EAsia has a 0.1841 correlation value with growth. Egypt, CentAm and Frz have growth correlation values of -0.1244, -0.0356, and -0.1160, respectively. 33 Time Period Dummies Like regional dummy variables, time period dummy variables are used to account for similarities across the sample, at a given point in time, that affect the dependent variable. As there are three different data sets for this research, each has a different number of time period dummy variables. However, like the regional dummy variables, since the time periods in this research are the same as the time periods used in the BD and ELR but for the addition of new time periods in the final data set, they are unambiguous and the same as the BD and ELR sample variables. In the full dataset, 1966-2009, the 5th time period (1982-85) has the highest absolute growth correlation at -0.2157, followed by the 2nd (1970-73) and 11th (2006-09) time periods with growth correlation values of 0.1218 and 0.1122, respectively. The 8th (1994-97) and 1st (1966-69) time periods have the lowest growth correlations values, at 0.0304 and 0.0478, respectively. Assassinations and Ethnolinguistic Fractionalization The assassination and ethnolinguistic fractionalization (Ethnf) variables were both used in the original BD and ELR research, as well as an interaction term between the two. The ethnolinguistic fractionalization variable is a measure of how fractured the language structure of the country is by estimating the likelihood that two individuals will belong to different ethnic groups. If they do, the implication is that they are likely to speak different languages and have more trouble conducting economic transactions, thus slowing the mobility and growth potential of the economy. Likewise, assassinations measure the number of political assassinations per 100,000 of the population and are a proxy for the 34 political stability of the government. Neither of these variables, nor their interaction term, was significant in any of the original analyses, and current assassination data was not available. Thus, the Assassination variable and the interaction term were not used in this research. The ethnolinguistic fractionalization term is a country specific constant that ELR borrowed from Easterly and Levine (1997), and that is the Ethnf variable selected for use in this research as well. It has a -0.0810 correlation value with growth. Population Although not used directly in any regression, the population variable is used as an instrumental variable for aid and aid*policy in the 2SLS regressions conducted in this and the ELD and BD research. The population variable used in all three datasets is the natural logarithm of total population. For both the ELR data and the data used in this research, the information came from the World Bank World Development Indicator database, in 2002 and 2013, respectively. The BD population data and the data for this research have a correlation value of 0.9997, while the ELR population data and the data for this research have a correlation value of 1.000. The mean natural logarithm of population is 16.24, with a median of 16.17. The standard deviation for this variable is 1.42, indicating a normal range of ±2.84 from the mean, or between 13.40 and 19.08. The minimum value for this study is 12.90, while the maximum is 20.89. 35 Lagged Arms imports as percent of total imports Like the population variable, the arms import variable is not used directly in any regression, but as an instrument for aid and aid*policy in this and both previous works. This variable measures total arms imports as a percent of total imports, lagged one time period. The original BD data came from the World Bank. ELR retrieved their data from the US Department of State and using the World Bank as a backup resource. The data for this research primarily came from the World Bank World Development Indicator database, 2013. However, missing arms imports data was retrieved from the UNCTAD merchandise trade matrix, and missing total import data was retrieved from the UNCTAD value of merchandise imports matrix14. Other missing data was included from the original ELR data15. This variable has a 0.6142 correlation value with the BD arms import variable, and 0.6009 with the ELR arms imports variable. It has a -0.0567 correlation value with growth in this research, but 0.3439 with aid, 0.3279 with aid*policy (CPI) and 0.3262 with aid*policy (GDP deflator). Arms samples from this source were: Bolivia 1996-98, 2001-02; Botswana 1999, 2005-08; Burkina Faso 1995-2004, 2008; Cameroon 1995, 2000, 2003-04, 2007, 2009; Democratic Republic of the Congo 1995, 2003-05, 2007; Republic of the Congo 1995-96, 1998, 2000-04, 2007-08; Costa Rica 1995-96, 1998, 2000-2004, 2007-08; Côte d’Ivore 1996-98, 2000-01, 2005-10; Dominican Republic 1995, 1997, 2002, 2006-08; Ecuador 2000, 2003; El Salvador 1997, 1999-2001, 2004-2007, 2009-10; Ethiopia 1995-96, 2001, 2005-09; Gabon 1995-2003, 2005, 2008-09; Ghana 1995, 1998, 2005-06, 2008, 2010; Guatamala 1996-97, 1999-2010; Guyana 1995-2000, 2002-2010; Haiti 1995-2010; Honduras 1995-2000; Jamaica 1995-2010; Kenya 1995-96, 1998-99, 2001-06, 2008-09; Madagascar 1995, 1997-2010; Mali 1995-96, 1999, 2001, 2003-04, 2006, 2010; Morocco 1998, 2003-04; Nicaragua 1995-2010; Niger 1995-96, 1998-2002, 2004-07, 2010; Nigeria 1998-99, 2005; Papua New Guinea 1995, 1998-2010; Paraguay 1995, 1997-2000, 2002-03, 2006-09; Philippines 1999-2000; Senegal 1997-2004, 2010; Sierra Leone 1996, 2000-05, 2007-10; Sri Lanka 2009; Syria 2007; Tanzania 1995, 1997-2002, 2004, 2007-08, 2010; Togo 1996, 1998-2003, 2005-09; Trinidad & Tobago 1995-99, 2003-06, 2008-09; Tunisia 2000-01, 2004, 2007, 2009; 1996-97, 2001, 2003, 2007; Uruguay 2001, 2003-04; Zimbabwe 1995-97, 2002, 2004, 2007-10. Total imports samples from this source were: Bolivia 1962-69; Ethiopia 1960-80; Iran 1960-64, 2008-10; Jordan 1960-75; Mali 1960-66, 2008-10; Papua New Guinea 2005-10; Sri Lanka 1960-83; Syria 1960-74; Tanzania 1960-89; Trinidad & Tobago 2009-10; Turkey 1960-86; Uganda 1960-81; Venezuela 1960-73; Zimbabwe 1960-75. This data was available in current dollars. The CPI was used to convert it to constant 2000$. 15 Observation (country and time period) from this source were: Botswana 1, 2, 5; Burkina Faso 6; Cameroon 7; Democratic Republic of the Congo 7; Republic of the Congo 7; Costa Rica 7; Côte d’Ivore 5-7; Dominican Republic 6, 7; El Salvador 6; Ethiopia 6; Gambia 1-7; Ghana 1, 5; Guyana 6; Haiti 1, 6, 7; Honduras 1, 2, 7; Jamaica 1, 4; Madagascar 3, 6, 7; Mali 2, 6; Nicaragua 1, 7; Niger 2, 3, 6, 7; Papua New Guinea 2; Senegal 6, 7; Sierra Leone 1, 2, 4, 6; Tanzania 5, 6; Togo 6; Trinidad & Tobago 1, 3, 5-7; Uganda 4, 5, 7; Zambia 6, 7; Zimbabwe 1. 14 36 The mean arms1 variable is 3.32% indicating that in a given year, the average country imported 3.32% of GDP worth of arms. However, the median of 0.98% suggests that most countries import smaller portions of their GDP, while a few import greater values of arms. The standard deviation is 7.61%, suggesting the range in which 95% of all sample observations should fall is between -11.9% and 18.54% of GDP. The dataset minimum is -8.54%, while its maximum is 85.01%. Interaction Variables An interaction variable is one that combines two or more variables to make a new variable, allowing researchers to test variable relationships to see if certain variables have sum effects greater than the sum of their individual parts. In this research, the interaction variable contains the policy variable with some other variable. With the exception of the aid*policy terms, all of the interactive variables are used exclusively as instrumental variables by BD and ELR to estimate aid and aid*policy in their 2SLS regressions. In all, there are four sets of interaction variables. They are: aid*policy and aid2*policy, arms1*policy, lpop*policy and lpop2*policy, and lgdp*policy and lgdp2*policy. Aid*Policy and Aid2*Policy Both policy variables have relatively low correlations with growth for this interaction relationship. For the CPI policy variable, the aid*policy variable has a 0.0000 correlation with growth, and the aid2*policy variable has a 0.1020 correlation with growth. For the 37 GDP deflator policy variable, the aid*policy variable has a -0.0056 correlation with growth, and the aid2*policy variable has a 0.1068 correlation with growth. Instrumental variables None of the instrumental variables have an exceptionally strong correlation with growth, which is ideal. However, some are much higher than others. They are also similar between the two policy variables. The arms1*policy interaction term has -0.0423 (CPI) and -0.0734 (GDP deflator) correlation with growth. The correlation with aid is -0.1929 (CPI) and -0.2004 (GDP deflator). The corralation with aid*policy is -0.1193 (CPI) and -0.1276 (GDP deflator). The LGDP2*policy interaction term, which is the natural logarithm of (1+ the square of the 1970 GDP), has 0.1408 (CPI) and 0.1194 (GDP deflator) correlation with growth. The correlation with aid is -0.3211 (CPI) and -0.3688 (GDP deflator). The correlation with aid*policy is -0.2726 (CPI) and -0.3341 (GDP deflator). The population*policy interaction term has 0.3399 (CPI) and 0.3410 (GDP deflator) correlation with growth. The correlation with aid is -0.1829 (CPI) and -0.2438 (GDP deflator). The correlation with aid*policy is -0.3093 (CPI) and -0.3049 (GDP deflator). The population2*policy interaction term has 0.3238 (CPI) and 0.2898 (GDP deflator) correlation with growth. The correlation with aid is -0.2050 (CPI) and -0.2743 (GDP deflator). The correlation with aid*policy is -0.1154 (CPI) and -0.2203 (GDP deflator). 38 The LGDP*policy interaction term has 0.2600 (CPI) and 0.2377 (GDP deflator) correlation with growth. The correlation with aid is -0.2504 (CPI) and -0.3180 (GDP deflator). The correlation with aid*policy is -0.1346 (CPI) and -0.2641 (GDP deflator). These correlation values are important as the rule of thumb instrument selection suggests that good instruments have a weak relationship to the dependent variable, but a strong relationship with the variable they are to instrument. Low-Income Variable The low income variable was developed in the BD study to denote the low-, as opposed to medium-income, countries so that a set of regressions could be conducted using a subset of the sample. They assign low-income status to those countries with real per capita GDP below $1900 in 1970. Their one exception to this was Nicargua, which had started out at a higher income level, but for whom real per capita GDP had fallen below $1900 by 1982. This variable was not, however, ever used as a control or variable of interest. ELR changed this variable from a positive to a negative, but otherwise left it the same and used it in the same fashion. As a quasi-dummy variable, as the values are -1 or 0, the variable is not particularly ambiguous. One could dispute the definition of lowversus middle-income. However, all of the low-income countries were classified as at least lower-middle income countries by the OECD at the time of the BD paper16, and only Botswana had risen to an upper-middle income country by the time of the ELR paper’s publication17. Before any countries are dropped due to insufficient data in 16 17 OECD DAC List of Aid Recipients Used for 1997, 1998 and 1999 Flows OECD DAC List of Aid Recipients- As of 1 January 2003 39 particular regressions, there are 18 middle-income and 46 low-income countries, and the variable has a -0.0376 correlation with growth. When the variable is switched so that the low-income countries are represented by 1 and the middle income countries by 0, the variable growth correlation becomes -0.0443. Outlier Variable The outlier variable is assessed from the aid*policy interaction variable, as this is the variable of greatest interest in the original BD research. To determine the outliers, the mean and standard deviation of the aid*policy variable must be determined. Next, the parameters for two standard deviations above and below the mean need to be established. Once that has been accomplished, any aid*policy sample that is outside of those ±two standard deviation range is considered an outlier. As the openness variable of the policy index was different from the original BD and ELR data, the outlier variable has similar differences, skewing to higher more positive integers, where the BD and ELR variables were more evenly distributed, positive and negative. As a result, the BD outlier has a 0.0172 correlation value with the outlier value for this research, while the ELR outlier has a -0.0245 correlation value with the outlier value for this research. In this research, the outlier has a -0.1917 correlation with growth. However, like the low-income variable, the outlier variable is not used in the BD or ELR research as a variable of interest or a control variable. Rather it is used as a sample control variable, to exclude outliers from particular regressions. 40 Chapter 4 EMPIRICAL METHODOLOGY The literature explaining how foreign aid fits into the economic growth and development models remains inconclusive at best, while seeming confusing and inconsistent at other points. The models draw from a wide swath of theoretical applications. Aside from economic models of growth, these models also draw on sociopolitical, historical and geo-political elements including political structure and government type, region and physical attributes of the country, religion and language, former colonial power and length of independence. This has contributed to three basic groups of theory. The first is based primarily on the economic growth theory which derives growth from economic inputs of labor and capital. The next follows the macroeconomic theory that a nation’s income is equal to private consumption, government spending, investment and net exports; thus, economic growth is derived from changes in these variables. The third group primarily bases economic growth on the previously mentioned geopolitical, social and historical variables. Many theories, however, borrow from each of these groups, so there are no clearly defined schools of thought as to how aid influences economic growth. Further, there are several different theories on how aid goes about impacting economic growth. The basic idea is that if you add resources to an economy, it will have higher levels of output and that higher level of output will constitute a higher level of growth. However, our basic economic growth theory would tell us this growth is just a one-time infusion that that would not be carried over into proceeding time periods. Since 41 the role of most aid is to improve living standards and alleviate poverty, it is consumed and thus only contributes to single time period growth. However, a portion of aid is intended for investment, improved knowledge, infrastructure and technology. This type of aid will allow long-run growth without any additional allocation. Fortunately for most poor countries, they do receive aid allocations annual, even though the amount of those allocations may not be reliable. This research asks the question of how developmental aid impacts annual economic growth. To do that, the model and tests first used by BD and then ELR will be used. In order to test the relationship of aid to growth, and the role that policy might play in the relationship, the following equation is estimated using a panel dataset: growth = ƒ[initial pcGDP, ethnic fract, inst quality, m2/GDP (lagged), SSA, EAsia, policy, aid/gdp, aid*policy, aid2*policy] (1) Before this can occur, the estimation of (1) requires the construction of a variable that measures the quality of policy for each sample observation, or each country in each time period. This policy construction follows the procedure described in BD: The policy variable consists of direct influences from the budget surplus, inflation, and openness variables. In order to estimate this, these variables are estimated in the growth equation without the aid and policy variables so that: growtht,i = β0 + β1lgdpt,i + β2ethnolinguistic_fractionalizationt,i + β3SSAt,i+ β4EAsiat,i + β5institutional_qualityt,i + β6(M2/GDP)t-1,i + β7budget_surplust,i + β8inflationt,i + β9opennesst,i + ε (2) 42 Construction of the policy variable is then done using the estimated coefficients: Policyt,i = Constant + β7budget_surplust,i + β8inflationt,i + β9opennesst,i (3) As there are two different samples and three time periods, a separate policy variable needs to be constructed for each. Further, in this research, there are two different inflation variables, CPI and GDP deflator, to be tested. So two sets of policy variables need to be constructed for each sample and time period within the scope of this research. Next, once the policy variables have been estimated, the aid-policy interactive terms can be constructed. From the aid*policy variable, the outlier variable is determined using the Hadi (1992) method of classifying observations ±2 standard deviations away from the mean as outliers. Now each set of tests conducted has unique policy, aid-policy interactive and outlier variables. Finally, it is possible that there may be endogeneity between growth and aid. If there is, aid and any interactive variables need to be instrumented. The instruments that BD determined to be the best instruments have the following relationship with aid: (aid, aid*policy) = ƒ[central america, egypt, french zone, arms imports/total imports (lagged), log population, arms1*policy, lpop*policy, lpop2*policy, log initial gdp*policy, lgdp2*policy] (4) Within each data set that is tested, ELR follow a specific path in their quest to test the robustness of the BD findings that good policy is necessary for aid to contribute positively to growth. First they estimate (1) with outliers, calling this 4/OLS. 43 growtht,i = β10 + β11lgdpt,i + β12ethnolinguistic_fractionalizationt,i + β13SSAt,i + β14EAsiat,i + β15institutional_qualityt,i + β16(M2/gdp)t-1,i + β17aidt,i + β18aid*policyt,i + β19aid2*policyt,i (4/OLS) Next they estimate (1) without the aid2*policy variable, without and then with outliers, calling these 5/OLS and 5+/OLS, respectively. growtht,i = β20 + β21lgdpt,i + β22ethnolinguistic_fractionalizationt,i + β23SSAt,i + β24EAsiat,i + β25institutional_qualityt,i + β26(M2/gdp)t-1,i + β27aidt,i + β28aid*policyt,i (5/OLS) growtht,i = β29 + β30lgdpt,i + β31ethnolinguistic_fractionalizationt,i + β32SSAt,i + β33EAsiat,i + β34institutional_qualityt,i + β35(M2/gdp)t-1,i + β36aidt,i + β37aid*policyt,i (5+/OLS) The following steps re-test 5 and 5+ using the 2SLS instrumental variable method, without and then with outliers, calling these 5/2SLS and 5+/2SLS, assuming there is endogeneity between the aid variables and growth, but without testing to verify the appropriateness of this estimation or then the strength of the instruments. growtht,i = β38 + β39lgdpt,i + β40ethnolinguistic_fractionalizationt,i + β41SSAt,i + β42EAsiat,i + β43institutional_qualityt,i + β44(M2/gdp)t-1,i + β45aidt,i + β46aid*policyt,i (5/2SLS) growtht,i = β47 + β48lgdpt,i + β49ethnolinguistic_fractionalizationt,i + β50SSAt,i + β51EAsiat,i + β52institutional_qualityt,i + β53(M2/gdp)t-1,i + β54aidt,i + β55aid*policy (5+/2SLS) 44 This sequence of regressions is repeated for a restricted low-income country subset of the sample for estimations 7/OLS, 8/OLS, 8+/OLS, 8/2SLS, and 8+/2SLS. Focused on the issues of aid and aid*policy robustness, the ELR methodology does not test for endoegeneity, the significance of outliers or low-income countries, multicollinearity, or any other potential problem. BD did test for endogeneity and determined that it was not a problem within their result. They also compare coefficient estimations between the full sample results and those that were generated for the lowincome countries, concluding that there is no difference between how aid and policy impact growth for the low-income versus full sample of countries. They do not, however, test this conclusion. Further, both studies conclude that there is not a significant difference between results estimated with and without outliers through observation, but do not actually test this conclusion. The estimation of these equations in this research is performed using a panel dataset with 63 countries and three (3) time samples covering the time period 1966-2009, including time dummy variables. 45 Chapter 5 ANALYSIS Estimations: Burnside-Dollar Countries and Years (1970-1993) See the Results Tables 1 and 2 in Appendix B for CPI and GDP Deflator Policy for the BD Countries and Years to see a complete accounting of estimation results. In the first estimation in this set of regressions, the policy index-forming regression, the budget surplus coefficient was positive and significant to the 99% confidence level for both the CPI policy index and the GDP deflator policy index. However, neither had significant inflation (-) or openness (+) coefficients, though they were of the expected sign. In the estimations that follow, the aid, aid*policy, and aid2*policy coefficients are never statistically significant for either policy index, and switch sign. However, aid most often has a positive coefficient and aid*policy most often has a negative coefficient. The aid2*policy coefficients are always positive. Of the variables of interest, policy is the only variable that is significant and has a consistent sign. For the GDP deflator policy index, policy is positive and significant for every estimation except 8/2SLS, when the low-income country sub-sample is estimated excluding outliers using instrumental variables for aid and aid*policy. Since policy is significant in the full sample, this suggest that there is something different about this subsample that might make policy less important to growth than it is to the full sample. For the CPI policy index, policy is positive and statistically significant except for the regression mentioned above, 8/2SLS, as well as 5/OLS (full sample, no outliers), 5/2SLS (full sample, instrumented aid variables, no outliers), 5+/2SLS (full sample, instrumented 46 aid variables, outliers included), and 8/OLS (low-income sample, no outliers). In all other cases, policy is significant to at least the 95% level of confidence. When tested, both sets of estimations did not have problems with endogeneity or omitted variables. The White test confirmed heteroskedasticity in both, and robust standard errors were used. High levels of multicollinearity were detected only between the aid and aid*policy variables. Since one is an interactive term including the other, it is not surprising or particularly concerning. Estimations: Easterly-Levine-Roodman Countries and Burnside-Dollar Countries Years (1970-1993) See the Results Tables 3 and 4 in Appendix B for CPI and GDP Deflator Policy for the ELR Countries and BD Years to see a complete accounting of estimation results. In the first estimation in this set of regressions, the policy index-forming regression, the budget surplus coefficient was positive and statistically significant for both the CPI policy index and the GDP deflator policy index. Further, the inflation variable for each was negative and statistically significant. However, neither had a significant openness coefficient, though it was of the expected sign. In the estimations that follow, for both policy indices aid2*policy coefficients are always positive and statistically significant to the 99% confidence level. However, none of the other aid or aid*policy variables were significant and sometimes they switch signs in the GDP deflator policy index estimations, although they are mostly positive. In the CPI policy index estimations, aid only has significance in the 5/2SLS and 5+/2SLS 47 estimations. Aid*policy only has significance in the 5+/2SLS and 7/OLS estimations, although the coefficient switches signs between these results. Again, for both sets of estimations, the policy index is positive and statistically significant for the majority of the estimations. For the GDP deflator, the only estimations where policy is not significant to at least the 95% confidence level are 8/2SLS and 8+/2SLS. For the CPI policy index, the only estimations where policy is not singificant are 8+/OLS and 8+/2SLS. When tested, both sets of estimations did not have problems with endogeneity or omitted variables. The White test confirmed heteroskedasticity in both, and robust standard errors were used. High levels of multicollinearity were detected only between the aid and aid*policy variables. Since one is an interactive term including the other, it is not surprising or particularly concerning. Estimations: Easterly-Levine-Roodman Countries and Years (1970-1997) See the Results Tables 5 and 6 in Appendix B for CPI and GDP Deflator Policy for the ELR Countries and Years to see a complete accounting of estimation results. In the first estimation in this set of regressions, the policy index-forming regression, the budget surplus coefficient was positive and statistically significant to the 95% level of confidence for both the CPI policy index and the GDP deflator policy index. Further, the inflation variable for each was negative and statistically significant to 95%. However, neither had a significant openness coefficients, though it was of the expected sign. 48 In the estimations that follow, for both policy indices aid2*policy coefficients are always positive and statistically significant to the 99% confidence level. The only other aid variable that has any significance for the GDP deflator policy index estimations are the aid*policy coefficients for the 5/2SLS, 5+/2SLS, and 8/2SLS, where they are positive and statistically significant to the 90% level of confidence. In the CPI policy index estimations, aid is positive and significant to the 95% confidence level for the 5+/OLS and 8+/OLS coefficients. For aid*policy, the coefficients for 4/OLS, 5+/OLS, 7/OLS, and 8+/OLS are all negative and statistically significant to at least the 90% confidence level. Policy is again positive for all of the estimated coefficients in both indexes, and statistically significant for most. For the GDP deflator policy index estimations, the coefficients are not significant for any of the 2SLS estimations. For the CPI policy index estimations, the coefficients are not significant for the low-income 2SLS regressions, 8/2SLS and 8+/2SLS. When tested, both sets of estimations did not have problems with endogeneity or omitted variables. The White test confirmed heteroskedasticity in both, and robust standard errors were used. High levels of multicollinearity were detected only between the aid and aid*policy variables. Since one is an interactive term including the other, it is not surprising or particularly concerning. 49 Estimations: Easterly-Levine-Roodman Countries and All Years (1966-2009) See the Results Tables 7 and 8 in Appendix B for CPI and GDP Deflator Policy for the ELR Countries and All Years to see a complete accounting of estimation results. In the first estimation in this set of regressions, the policy index-forming regression, the inflation variable was negative and statistically significant to 99% level of confidence for both the CPI policy index and the GDP deflator policy index. For the CPI policy index, the budget surplus coefficient was positive and significant to the 90% confidence level, while for the GDP deflator policy index it was negative and significant to the 99% confidence level. However, neither had a significant openness coefficients, though it was of the expected sign. In the estimations that follow, for both policy indices aid2*policy coefficients are always positive and statistically significant to the 99% confidence level. However, none of the other aid or aid*policy variables as significant and sometimes switch signs in the GDP deflator policy index estimations. In the CPI policy index estimations, aid only has significance in the 5/2SLS and 8+/OLS estimations, where they are positive and significant to the 95% confidence level. Aid*policy only has significance in the 8+/OLS estimation, where it is negative and significant at the 95% confidence level. Policy is positive and statistically significant for all estimations in both the GDP deflator and CPI policy indexes. When tested, both sets of estimations did have a problem with endogeneity in both the aid and aid*policy variables, but there was no omitted variable bias. The White test confirmed heteroskedasticity in both, and robust standard errors were used. High levels of 50 multicollinearity were detected only between the aid and aid*policy variables. Since one is an interactive term including the other, it is not surprising or particularly concerning. Conclusions from these Estimations First, policy, either determined by CPI or GDP deflator as the inflation variable in the policy index, has a strong positive relationship with growth. Second, aid and aid*policy do not seem to have a significant relationship with growth. However, since the aid2*policy variable is almost always positive and statistically significant (in every set of estimates except the BD countries and years), this suggest that there is some kind of relationship. This may make it difficult to estimate a relationship between growth and aid when aid and aid* policy are included due to multicollinearity. Since, aid*policy is an interactive term of aid, it is expected that they would be collinear. When the test was conducted for each set of estimations, multicollinearity between aid and aid*policy was confirmed. Thus it is possible that they are significant to the growth estimation. However, determining the level and direction of impact for each with a high level of certainty is unlikely. Third, while these results show a similar lack of robustness to the ELR results, ELR did not test the data or models to see if there are any problems that might influence robustness. They did not test for endogeneity in their estimations. Had they done so, they could have said whether the OLS or 2SLS were the appropriate estimation method and tested for any other estimation-specific problems, like weak instruments in 2SLS estimations. Had they tested the outliers or low-income countries to see if they were 51 statistically different from the rest of the sample, they could have said if the estimations that excluded outliers or middle-income countries were statistically different. Yet, they did none of these things. Rather, they estimated several sets of aid and aid*policy coefficients, saw that they vary in sign and significance, and concluded that the aidpolicy relationship to growth must not be robust. Fourth, these results show that the East Asia regional dummy and institutional quality variables are positive and almost always statistically significant in detremining growth. Likewise, the Sub-Saharan Africa and initial GDP variables are negative and most often statistically significant in determining growth. The money supply is more inconsistent across sets of estimations, but within estimations groups, if it is significant, it is negative, with a coefficient of 0.001, and significant to the 99% confidence level. Finally, it seems like the best results from these results are the full time period estimation of 5/2SLS in both the GDP deflator and CPI policy index estimation sets. Tests, explained in the next section, conclude that there is endogeneity (2SLS is relevant over OLS estimation), find that there is a significant difference between the outlier and non-outlier sample observations (outliers are excluded), and do not find a significant difference between low- and middle-income countries (full sample for larger sample size and broader application of results). Between the two policy indexes, the estimated coefficients are somewhat different in scale throughout the whole set, but tend to move in the same direction and to the same degree. For this particular estimation, the CPI policy index aid variable is negative and statistically significant to the 95% level of confidence. 52 For the GDP deflator index it is also negative but not significant. This could, however, be explained by multicollinearity. Further tests are then performed on these two estimations to find the estimation model that best represents the aid-policy-growth model and answers the question of how developmental aid, and policy through aid, impact economic growth. 53 Chapter 6 RESULTS, ROBUSTNESS TESTS, AND INTERPRETATION Final Estimation Details To determine a final specification for the growth regression, an extension is made from the original Easterly, Levine, and Roodman and Burnside-Dollar regressions, by extending the dataset to include all. The final specification includes a longer timeframe and the full sample of developing countries, not just those with low levels of per capita GDP or growth. Variables that fail to exhibit significance throughout any of the specifications are dropped. Finally, tests are conducted and changes will be made to correct for heteroskedasticity, autocorrelation, omitted variables, sample breaks, and endogeneity. The most representative regression for this research question is as follows: growtht,i = -6.02 + 65.59Aidt,i – 0.25Aid*Policyt,i – 56.28Aid2*Policyt,i (2.28) ** (-0.06) (-2.00) ** – 0.001M2t,i + 1.09Policyt,i (-4.94) *** (4.45) *** ( Panel OLS) In total, 532 observations were included in this regression, for 61 countries, across eleven four-year time periods, starting in 1966, and ending in 2009. This was estimated as a panel OLS regression with fixed effects, excluding outliers and with time period dummy variables, on the full sample of medium- and low-income developing countries. As a result, it dropped the variables that are constant within a country, attributing them to the fixed effect of that particular country. The variables dropped were initial GDP in 54 1970, the Sub-Saharan Africa and East Asia regional dummy variables, and the institutional quality variable. The variable for money supply, however, was retained and the coefficient did not change in magnitude or significance from the previous sets of estimations. For this estimation, there are a minimum of three and a maximum of eleven observations per country, with an average of 9.1. Within each country group, the R2 is 0.2442, meaning that 24.42% of the change in GDP growth for that country can be explained by changes in the variables for that country. The overall R2 is 0.0813, meaning that for the sample as a whole, changes in the variables account for 8.13% of the observed economic growth. On the surface, this seems like a very small amount. However, it does not include the impact that the dropped variables might have had on the whole. Further, it suggests that about 8% of the change in growth across the sample might be attributed to aid and policy. The F-statistic is 48.76. So we fail to reject the null hypothesis that the regression as a whole is invalid. This regression was run without outliers, and includes both middle- and low-income developing countries. As such, the coefficients for each variable remain about the same, but the statistical significance of the aid, aid*policy and GDP variables decline from the same regression that does include outliers. Each variable impacts growth differently when it changes. Interactive variables, like aid*policy, influence growth multiple times. When aid increases by 1% of GDP, growth will increase by 0.66%. This coefficient is positive and statistically significant to the 95% level of confidence. If the aid and policy variables increase by 1% and one, respectively, the aid*policy variable increases by 0.01 and growth will decrease by 0.0025%. 55 However, aid*policy is not statistically significant. The same change in the aid and policy variables will increase the aid2*policy by 0.0001, causing growth to decrease by 0.00563. This coefficient is statistically significant to the 95% confidence level. When the money supply as a percent of GDP, lagged one time period, increases 1%, growth will decline by 0.001%. When the policy index variable increases by one, growth increases by 1.09%. Both the money supply variable and policy are statistically significant to the 99% confidence level. As mentioned previously in the initial results section, the aid and aid-policy interactive terms may be affected by multicollinearity. This is not uncommon for interactive terms and the original variables. However, it could cause variable to appear insignificant when in fact they are not, and generally make it harder to determine the exact relationship between a given independent and dependent variable. When these aid and aid-policy variables are estimated within the fixed effect panel but independently of one another, they were all positive. Further, aid and aid*policy were statistically significant to the 95% level of confidence. Thus it is likely due to multicollinearity that the aid*policy variable is not significant. This regression was run with time period dummies. The first time period (1966-69) was dropped, while the second (1970-73) and third (1974-77) were positive and statistically significant and the fifth (1982-85), sixth (1986-89), ninth (1998-2001), tenth (2002-05), and eleventh (2006-09) were negative and significant. In the original set of estimations, the variables that were dropped by the fixed effects model had reasonably stable coefficients and significance levels. Since it is the intention 56 of this research to be applicable to the widest range of less developed countries, those coefficients and their relationship to growth are reported here. If a country’s initial GDP per capita in constant 2000 US$ in 1970 increased by $1, growth would by about decreased by 0.535%. If a country is located in Sub-saharan Africa, growth will be reduced by 1.555%. Conversely, if the country is a fast growing East Asian country, growth will increase by 1.682%. When the ICRGE country risk index increases by one point, growth increases by 0.281%. Evaluations of Robustness Dropped variables This regression includes data for all available time periods, to encompass the widest possible scope of the aid-growth relationship. Similarly, it uses the expanded ELR sample of countries over the more limited BD sample. From the original regressions, assassinations, ethnolinguistic fractionalization and assasinations * ethnolinguistic fractionalization have been dropped (for lack of data on assassinations and) as they are not significant in the original or any successive regressions. GDP Deflator In the initial studies, the policy indices use CPI as the inflation variable, along with balanced budget and openness variables. In this regression, the GDP deflator was used as the basis for the inflation variable in the policy index. To test the appropriateness of this measure in the model, the GDP deflator policy index was tested as the policy variable in 57 the original Easterly, Levine, and Roodman data sets for all countries for 1970-1993 and 1970-1997 with the full set of regressions. In both of the original Easterly, Levine, and Roodman policy index-forming regressions, the balanced budget variable was not significant. In the regressions with GDP deflator as the inflation variable, all three policy index-forming variables were statistically significant to the 99% confidence level. While in both the original and the alternate (GDP Deflator) regressions, the policy variable is positive and statistically significant in all regressions, in the original regressions it is almost always at the 99% confidence level (once at 95%). However, in the alternate regressions, the confidence level varies from 90-99% confidence. Further the coefficient for the original policy variable is always higher than the alternate policy variable, ranging from 0.87- 1.61 for the original policy variable and 0.31-1.10 for the alternate policy variable. In every regression in the alternate set of regressions, the aid variable was negative and the aid*policy variable was positive. They were not always significant, but they were always consistent in sign. In fact, they are frequently not significant, but they are more frequently significant than aid or aid*policy in the original regression. In the original regressions, aid is often positive and aid*policy is often negative, though the signs do change so that they are the same, positive or negative. For the regressions that also include aid2*policy, this variable is always positive. We would typically expect it to be negative, to signify diminishing returns to aid*policy. However, it only has significance in one of the four regressions in which it is included. Finally, when ELR plot growth against the aid*policy variable, the result was a negative sloping line. When using the 58 GDP deflator as the inflation variable in the policy variable, this is the result for the same plot: Figure 1: Growth-Aid*Policy Plot Estimated Growth vs Aid*Policy relationship using the GDP deflator policy index in the original ELR dataset. Initial GDP The original initial GDP variable has been changed in this regression from the initial per capita GDP in 2000 US$ for each time period [this means that, for each 4-year time period, the GDP was observed at the beginning of the time period and recorded as the observation for that period] to the initial per capita GDP in 2000 US$ for each sample country in 1970. Thus, this variable changes from a unstable, potentially cyclical value that has little to no significance and often exhibiting an unexpected relationship to growth, to a constant value with a consistently negative relationship to growth, a more consistent coefficient value and a significance at the 90% level of confidence in many 59 regression specifications. Similarly, when the initial GDP variable was changed, the SSA variable coefficient became more consistent and significant at the 99% confidence level. As the initial GDP variable was not statistically significant in all regression specifications, a test was performed by dropping it from the regressions to see if this altered the coefficients and their significance; it did. A Ramsey Reset Omitted Variable test was also conducted before and after dropping the GDP variable, though neither test result rejected the null hypothesis that the model has omitted variables. Chow tests for breaks in sample18 It was suspected that there might be a couple of different breaks in the sample. It seems like there were more inconsistencies with the aid variable in the last group of regressions, with all time periods, leading to the speculation that there might be a distinction between aid given during the Cold War and that given after. To test this hypothesis, a Chow test was performed. For that, two new group variables must be made within the sample that completely separate, or break apart, the two groups that are suspected of being different. In the case of the Cold War, Group1 was defined as periods 1-7; so those including 1966-1992. Group2 was defined as periods 8-11; so those including 1993-2009. Next, each group variable was interacted with all of the independent variables and growth was regressed against the group1 and group2 variables as well as all of their interacted variables (aid, aid*policy, ssa, easia, icrge, m21, and policy). Then, the predicted coefficient for each group1 variable was tested against the Resource for conducting the Chow test in Stata: http://www.stata.com/support/faqs/statistics/chow-tests/; updated July 2011; accessed June 2013. 18 60 related group2 predicted coefficient. Individual results showed that none of the coefficients were statistically significantly different from their related coefficient. Likewise, when the test was run to accumulate these results, the results were still not statisticlly significant. Thus we fail to reject the null hypothesis that group1=group2, and that there is no difference in the effect of aid given during or after the Cold War. Further, there might be a difference between medium and low income countries, as it seemed like coefficients and significance for aid, aid* policy, policy, and GDP changed more for the regressions done with only low income countries than those done with the whole sample. To test this, the variable that denotes low-income countries was added to the full-sample regression. However, the coefficient is not statistically significant. Further, a Chow test was performed in the previously stated method. As before, none of the individual coefficient tests were statistically different from their related coefficient, nor are the accumulated results statistically significant. So, again, we fail to reject the null hypothesis of no difference between the samples, and conclude that there is no statistically significant difference between middle and low income countries to warrant distinguishing them in the regression. Finally, there is a clear distinction in coefficients and significance levels whether outliers are excluded or included in a regression. As with the test on low and medium income counties, adding the outlier variable to the full sample regression, where outliers are not excluded, is performed. The coefficient is not statistically significant. Next, the appropriate steps are again taken for conducting the Chow test. This time, however, the results were different. The group2 and EAsia variables are dropped from the estimation, 61 meaning that no coefficient is estimated for these variables. At least for the EAsia coefficient, this was because there were no East Asia countries in the outlier group. When the tests of the coefficients are conducted, all of them are insignificant, except the test of the EAsia coefficient, which is significant to the 99% confidence level. When the accumulated results were tested, they too were significant to the 99% confidence level. However, even without the East Asia coefficient, the accumulated difference between the coefficients result in a p-value that is 0.0510, and we reject the null hypothesis that the coefficients are the same. If, however, only aid, aid*policy, policy and group are considered, the p-value is high, we fail to reject the null hypothesis and conclude that the coefficients of the outliers are not statistically significantly different from the coefficients of the non-outliers. Using a predicative tool (dfbeta variable) in Stata, the influence on the coefficient of excluding the outliers from the sample was estimated. There are twenty-four (24) outliers. If they are excluded, this tool predicts the coefficient for aid will increase by 0.67, the coefficient for aid*policy will decrease by 0.58, and the coefficient for policy will increase by 0.22. If this is accurate, it is suggesting the model is not very robust, if the exclusion of 24 observations from a total of over 550, can have that large an impact on the regression results. Thus, the decision was made to exclude outliers. This test was first performed on the GDP deflator policy index OLS estimations for all time periods before the determination of endogeneity. Testing of the CPI policy index OLS estimations for all time periods also yielded similar results. When the final analysis method of fixed-effect panel OLS estimation was determined, the test was performed 62 again with aid, aid*policy, aid2*policy and money supply as the coefficients of interest. The test resulted in a p-value of 0.0538, leading to the rejection of the null hypothesis that the coefficients between the outlier and non-outlier groups are the same and confirmation that outliers should still be excluded from the estimations. Ramsey Reset Test Prior to establishing that outliers were to be excluded, the Ramsey Reset Omitted Variable test, with an F-stat of 0.97 (p=0.4057) suggests that there is not omitted variable bias. Additionally, the linktest was conducted to test for other specification errors. No errors were indicated. When outliers were excluded from the estimations, the results changed somewhat. The F-stat rose to 1.29 (p=0.2171). However, we still fail to reject the null hypothesis that the model has no omitted variable bias, and the linktest still indicates no additional specification error. With the discovery of endogeneity, the Ramsey/Pesaran-Taylor RESET test was conducted on the 2SLS estimation results. With a Chi2 of 0.30 and a p-value of 0.5845, we again fail to reject the null hypothesis and the linktest confirms no specification errors. However when the decision is ultimately made that the best tool to use with this data to estimate the relationship between aid-policy-growth is the fixed effects estimation method, neither the Ramsey RESET nor the linktest for model specification function to test the model further. 63 Autocorrelation As this data has been regressed on panel data, with only a short time series element, autocorrelations is not a strong concern. When estimated with fixed effects in the panel estimation, the Wooldridge test for autocorrelation in panel data estimated and F-value of 0.620 and a p-value of 0.4341. Thus, we fail to reject the null hypothesis that there is no first order autocorrelation, and conclude that autocorrelation is indeed not a problem for this data. Heteroskedasticity Heteroskedasticity, however, is a concern. To test for this, the Breusch-Pagan/CookWeisberg is conducted with the original set of Easterly, Levine, and Roodman variables, minus those previously discussed as having been dropped as insignificant on the original OLS estimation after outliers were excluded (5/OLS). The initial results for this test was a Chi2 of 6.21 (p=0.0127), suggesting that heteroskedasticity is present. When the White test for heteroskedasticity was conducted, the Chi2 of 306.50 and p-vaule of 0.0000 confirm this finding. When tests revealed endogeneity, the 2SLS instrumental variable estimation results were also tested for heterskedasticity. This test, the Pagan Hall general test statistic for heteroskedasticity, has a Chi2 of 46.28 and p-value of 0.0085. Thus we reject the null hypothesis that the disturbance is homoskedastic and again confirming the presence of heteroskedasticity in the data. Finally, when the fixed effects panel estimation method is selected over the standard OLS and GMM estimation methods, the model is again tested for heteroskedasticity. The 64 Modified Wald Test for Groupwise Heteroskedasticity in Fixed Effects estimates a Chi2 of 4245.02 and a p-value of 0.0000. Thus, we again reject the null hypothesis of homoskedasticity. To correct for this, the regressions were run with robust standard errors. This does not eliminate the heteroskedasticity, but it limits the extent to which insignificant variables are perceived as impacting the growth relationship. Durbin-Wu-Hausman augmented test for endogeneity19 In the original regressions, ELR and BD instrument for aid and aid*policy with a series of variables that include a dummy variable for Egypt, a dummy variable for Central American countries, a dummy variable for French Zone countries (former French colonies or spheres of influence), arms imports as a percent of total imports lagged one time period (ARMS1), ARMS1* policy, the natural log of population (lpop), lpop*policy, lpop2*policy, the natural log of GDP(lgdp)*policy, and lgdp2*policy. When looking at the correlation values for these variables, some interesting relationships become apparent. The French Zone dummy variable has a fairly low correlation with growth (-0.12), but is more highly correlated with both aid (0.24) and aid*policy (0.32). Both the Central American and Egypt dummy variables make poor choices for instrumental variables. The Central American dummy variable has a -0.04 correlation with growth and -0.09 correlation with both aid and aid*policy. Likewise, the Egypt dummy variable has a -0.12 correlation with growth and 0.02 correlation with both aid and aid*policy. On the other hand, Arms1 is another relatively good choice of Resource for conducting the Durbin-Wu-Hausman test in Stata: http://www.stata.com/support/faqs/statistics/durbin-wu-hausman-test/; November 1999. 19 65 instrumental variables as it has a -0.06 correlation with growth, but a 0.34 correlation with aid and a 0.32 correlation with aid*policy. Less ideal, Arms1*policy has a low correlation to growth (-0.07), and an only slightly higher correlation to aid & aid*policy (both 0.12). Population has a 0.08 correlation to growth, but a -0.24 correlation to aid and a -0.30 correlation to aid* growth, making it another decent instrumental variable. However, Pop*policy has a correlation to 0.34 correlation to growth, with a -0.20 correlation to aid and a -0.12 correlation to aid*policy, making it less appealing. Likewise, Pop2*policy has a 0.29 correlation with growth, with a -0.27 correlation to aid and a -0.22 correlation to aid*policy. GDP*policy has a 0.24 correlation to growth, but 0.32 with aid and -0.26 with aid*policy. Finally, GDP2*policy has a 0.12 correlation to growth, but a -0.37 correlation with aid and a -0.33 correlation with aid*policy. Thus, the GDP2*policy variables is probably the more appropriate instrumental variable of the two. Not selected in the original works, but also exhibiting low correlation with growth while having higher correlation with aid and aid*policy, are the GDP variable, the lowincome dummy variable, and the outlier variable. GDP has a 0.02 correlation with growth, but a -0.39 correlation with aid and a -0.39 correlation with aid* policy. Lowincome has a -0.04 correlation with growth, but a 0.39 correlation with both aid and aid*policy. Finally, the outlier variable has a 0.05 correlation with growth, but a 0.66 correlation with aid and a 0.67 correlation with aid*policy. If one has variables to use as instruments, the Durbin-Wu-Hausman augmented test can be conducted to test for endogeneity, thus verifying the necessity of instrumentation. To conduct this test, it is necessary to regress the instruments on the assumed endogenous 66 variable, in this case aid and aid* policy. One then predicts the residuals of that regression and adds those residuals to the right-side variables in a regression of whatever the original dependent variable was, in this case growth. If the t-value of the residual coefficient is not statistically significant, that variable does not have endogeneity problems and does not need to be instrumented. For each time period, aid and aid*policy were tested separately. In the last time period, aside from the Easterly-Levine-Roodman and Burnside-Dollar set of instruments, an alternate set of instruments was selected based on available variables with the lowest correlation to growth and highest correlation to aid and aid*policy. Those selected were the French Zone dummy variable, Arms1, Lpop, LGDP2*policy, the outlier variable, and the low-income variable. The aid or aid*policy coefficients for the last set of estimates with all time period, for either the original or alternate instrument set, had statistically significant residuals, indicating an endogenous relationship with growth for both aid and aid*policy. These results were true for both the GDP deflator and the CPI policy index estimation results. As a result of the determination of engdogeneity, the instruments need to be tested for weakness and the estimation as a whole needs to be tested for overidentification. The Anderson weak instrument statistic returned a p-value of 0.0000, while the Sargan statistic for overidetification returned a p-value of 0.0078, indicating both weak instruments and overidentification of all instruments. Further, the 2SLS estimation method is best for estimation when data is homoskedastic. It does not do well with both weak instruments and heteroskedasticity (test results discussed later reveal 67 heteroskedasticity that is mitigated to some degree, but not eliminated by using robust standard errors). Therefore an alternate estimation method, the general method of moments (GMM) and the fixed effects panel (XT) estimation methods were considered. The GMM method controls better for weak instruments and heteroskedastic data, but the XT method is designed for panel data. Ultimately, the XT method was selected and the endogeneity test was run again. These test results revealed that there is not endogeneity within the model. Thus, the XT/OLS estimation method, rather than the XT/2SLS method can be used. Aid, aid*policy and aid2*policy were estimated in all combinations to determine the estimation that most likely best expresses the relationship between aid-policy-growth. See Sign Table in Appendix C. It was from these results that the GDP deflator policy index was selected over the CPI policy index, as the aid and aid-policy interactive terms are not significant in the estmations, not even when estimated independently when multicollinearity could not be cancelling out or confusing significance or signs. Thus, the estimation that best represents the relationship of aid and policy to growth is the XT/OLS estimation that includes aid, aid*policy and aid2*policy in the GDP deflator policy index for all time periods with all countries. 68 Chapter 7 FINAL CONCLUSION Above and beyond anything else, the one undeniable conclusion of this study is that policy is positive and significantly related to economic growth, with or without developmental aid. While it does not matter which measure of inflation is considered, as they are both significant, the policy indicies clearly produce different results and the GDP deflator seems the more appropriate tool to address GDP related topics. This might be due to the fact that the CPI only addresses consumer-related inflation, while the GDP deflator addresses inflation throughout the entire economy. Moreover, in relation to aid and growth, the other areas of the economy -investment, net exports and government spending- are the ones that are known or predicted by theory to be influenced by aid. The two-gap theory states that aid positively influences growth via savings-investment and import-export gap filling. Additionally, the majority of aid allocations tend to be directly to governments, often for budgetary support. Aid may trickle into the consumer section of the economy through one of these other sectors, but it is generally focused on other areas first. Further, based on these results, it is possible that aid also has a positive impact on growth, though this result is not robustly with other estimation methods. Multicollinearily and endogeneity with the aid and aid-policy variables are two probably reasons for the lack of clarity, making further articulation of the relationship challenging. Additionally, the F-test that all u_i=0, that is all sample countries have the same country coefficient, 69 was 2.13, with a p-value of 0.0000. Thus, we reject the null hypothesis that the sample should be pooled. Further testing is needed to determine the appropriate relationship of aid to growth, though it should be done with a fixed effects model when testing more than one country. See the Final Results Table in Appendix D for a more complete accouinting of estimation of results. As far as Burnside and Dollar (2000) versus Easterly, Levine, and Roodman (2003), and who was right or wrong, they were both right and they were both wrong. ELR were correct that their results, and these, are not robust for the aid-policy-growth relationship. However, they did not consider the appropriateness of their estimations or what problems there might be in their data that might be causing that lack of robustness, such as multicollinearity. Nonetheless, the results here support their finding of the non-robustness of the effect of aid on growth. BD were accurate in assessing that policy has a positive role in the growth relationship, and that it might even assist aid in being more effective. However, it is far from clear that policy is necessary for effective aid. Thus the recommendation and allocation of developmental aid on that basis over need seems a bit extreme. For future research, the expansion of the dataset to include more countries and more years of data for the countries than are already included would be ideal. As the issue of endogeneity seems to reoccur between aid and growth, the identification of stronger instruments seems necessary. Finally, the variables of institutional quality and ethnolinguistic fractionalization both change over time, but are only expressed as constant, single year observations in this data set because the long-term country data is 70 not available in usable form. The creation of formal databases for both of these would be appropriate for such research. Further, there is a database for both assassination and effective developmental aid data. However, they only extend into the late 1990’s. Extension and maintenance of these databases would add relevant variable options. In the end, even with the uncertainty, these results present the developmental aid question in a more positive light. It is possible that developmental aid contributes positively to growth. It is certain that policy helps. It is likely that they benefit one another in contributing to growth. However, neither is necessary for the other. 71 APPENDICES 72 APPENDIX A DESCRIPTIVE STATISTICS Variables: ELR Countries, 1966 - 2009 GDP Growth Aid Aid*Policy, GDP Deflator Aid^2*Policy, GDP Deflator Policy, GDP Deflator Aid*Policy, CPI Aid^2*Policy, CPI Policy, CPI Budget Surplus CPI Inflation Log CPI GDP Deflator Log GDP Deflator Trade Openness GDP Initial GDP Institutional Quality Lagged Money Supply Log Population Lagged Arms Imports Mean Median 1.660 1.820 0.329 0.167 0.186 0.080 0.016 0.001 6.170 6.310 0.111 0.046 0.009 0.001 3.930 4.070 -0.033 -0.027 0.4412 0.0919 0.174 0.088 0.5385 0.0889 0.178 0.085 57.66 52.275 1628.30 955.14 1317.37 776.23 4.36 4.48 43.21 27.90 16.24 16.17 0.0332 0.0098 Standard Deviation 3.360 0.0427 0.253 0.053 0.792 0.152 0.03 0.769 0.049 3.0472 0.364 3.7889 0.406 32.37 1808.41 1393.17 1.56 255.86 1.42 0.0761 Range 34.900 0.355 2.190 0.772 9.420 1.291 0.428 9.728 0.704 62.5512 4.188 70.249 4.371 200.36 14363.28 6489.99 6.66 6932.06 7.99 0.9360 Minimum -13.21 -0.001 -0.013 -0.0003 -0.519 -0.088 -0.002 -3.581 -0.45 -0.0362 -0.037 -0.1006 -0.106 5.185 83.08 121.24 1.24 4.16 12.9 -0.0854 Maximum 21.694 0.354 2.179 0.771 8.900 1.203 0.426 6.147 0.254 62.515 4.151 70.148 4.265 205.545 14446.36 6611.23 7.48 6936.22 20.89 0.8501 Count 733 739 580 580 589 570 570 579 633 686 684 707 706 726 719 753 765 731 761 739 CORRELATION VALUES Growth Aid Aid*Polic Aid^2*Policy Policy Budget Surplus GDP Deflator Openness ICRGE M2 Log Initial GDP SSA EAsia Growth 1.0000 -0.0316 -0.0037 0.1070 0.3387 0.2450 -0.2763 0.1287 0.1183 -0.0598 0.0154 -0.2132 0.2590 Aid 1.0000 0.9909 0.8375 -0.0228 -0.1822 -0.0471 0.1888 -0.1190 -0.0322 -0.3907 0.4449 -0.1872 Aid*Policy Aid^2*Policy 1.0000 0.8394 0.0683 -0.1049 -0.1159 0.2140 -0.0998 -0.0315 -0.3942 0.4473 -0.1853 1.0000 0.0171 -0.1208 -0.0513 0.2308 -0.0701 -0.0103 -0.1323 0.1555 -0.0891 Policy 1.0000 0.6521 -0.8676 0.3646 0.1213 0.0083 -0.0496 0.0357 0.1168 BB 1.0000 -0.2239 0.0407 0.1467 -0.0156 0.0912 0.0341 0.0826 GDP Deflator 1.0000 -0.2463 -0.0610 -0.0227 0.1392 -0.0390 -0.0680 Open 1.0000 0.0383 -0.0027 -0.0290 -0.0527 0.1661 ICRGE 1.0000 -0.0124 0.1615 0.0516 0.1530 M2 1.0000 -0.0066 0.0320 0.0090 Log Initial GDP 1.0000 -0.5935 -0.0494 SSA 1.0000 -0.2271 EAsia 1.0000 73 APPENDIX B INITIAL RESULT TABLES Table 1 GDP Deflator Policy, BD Countries and Years BD gdpd Variable bdlgdp bdethnf bdssa 1 Coefficient (t-value) -1.219 *** bdm21 bdbb 5/2SLS 5+/2SLS LOW-INCOME COUNTRY SAMPLE 8/OLS 8+/OLS 8/2SLS 8+/2SLS 7/OLS *** -1.077 *** -1.095 *** -1.307 *** -1.215 *** -1.293 *** -1.278 *** -1.300 *** -1.288 ** -1.283 *** ( - 4 .4 4 ) ( - 4 . 3 1) ( - 4 .6 5) ( - 4 .2 0 ) ( - 4 .2 4 ) ( - 2 .9 9 ) ( - 2 .6 6 ) ( - 2 .9 9 ) ( - 2 .52 ) -0.858 -0.517 -0.304 -0.422 -0.847 -0.655 -0.657 -0.516 -0.627 -0.798 -0.613 ( - 1. 15 ) ( - 0 .70 ) ( - 0 . 4 1) ( - 0 .59 ) ( - 0 .9 5) ( - 0 .79 ) ( - 0 .72 ) ( - 0 .55) ( - 0 .70 ) ( - 0 .73 ) ( - 0 .6 3 ) -2.781 *** 2.043 *** ( 3 .4 8 ) . bdicrge -1.139 FULL SAMPLE 5/OLS 5+/OLS ( - 5 . 19 ) ( - 5 . 12 ) bdeasia 4/OLS 0.708 *** -3.330 *** -3.286 *** -3.487 *** -2.204 ** -3.078 *** ( - 4 .4 2 ) ( - 4 . 3 1) 1.971 *** 2.038 *** ( 3 .4 8 ) . 0.771 ( - 5.0 6 ) ( 3 .54 ) . ( - 2 . 14 ) ( - 3 .52 ) ( 3 .3 0 ) . *** -3.521 *** -3.442 *** -2.985 *** -3.473 *** ( - 4 .0 5) 2.011 *** 1.899 *** 1.950 *** ( 3 .55) . -3.386 ( 3 .4 8 ) . 2.392 ( - 4 . 12 ) 0.848 ( - 4 .4 7) ( - 2 .74 ) ( - 4 .0 0 ) *** 2.554 *** 2.432 *** 2.540 *** 2.446 *** ( 3 .4 0 ) . *** 0.808 *** 0.783 *** 0.718 *** 0.744 *** ( - 2 .6 2 ) ( 3 . 5 1) . ( 3 .50 ) . ( 3 .3 5) . ( 3 .53 ) . *** 0.856 *** 0.845 *** 0.814 *** 0.849 *** ( 4 . 4 1) . ( 4 .52 ) . ( 4 .70 ) . ( 4 .73 ) . ( 3 .75) . ( 4 . 14 ) . ( 3 .8 2 ) . ( 3 .59 ) . ( 3 .75) . ( 3 .3 0 ) . 0.004 -0.002 -0.007 -0.004 0.006 -0.001 0.014 0.011 0.013 0.016 ( 3 .6 2 ) . 0.013 ( 0 .2 4 ) . ( - 1. 10 ) ( - 0 .4 0 ) ( - 0 .2 3 ) ( 0 .2 6 ) . ( - 0 .0 5) ( 0 .70 ) . ( 0 .54 ) . ( 0 .6 8 ) . ( 0 .70 ) . ( 0 .6 7) . 64.709 50.659 75.004 21.858 96.395 51.734 -1.816 56.913 -90.973 49.671 ( 1. 2 7 ) . ( 0 .6 0 ) . ( 1. 5 1) . ( 0 . 17 ) . ( 1. 0 2 ) . ( 0 .8 9 ) . ( - 0 .0 2 ) ( 1. 0 5 ) . ( - 0 .54 ) ( 0 .53 ) . 13.828 *** ( 4 .4 8 ) . bdinfl2 -0.359 ( - 1. 0 4 ) bdsacw 0.006 ( 0 . 9 1) . bdaid bdaidpolicy2 bdaid2policy2 bdpolicy2_b1 -7.419 -4.507 -7.292 -4.919 -11.000 -5.195 2.383 -5.276 11.338 -4.310 ( - 1. 19 ) ( - 0 .4 2 ) ( - 1. 16 ) ( - 0 .3 3 ) ( - 0 .9 8 ) ( - 0 .76 ) ( 0 . 19 ) . ( - 0 .77) ( 0 .57) . ( - 0 .3 8 ) 9.442 3.768 ( 0 .4 7) . ( 0 . 17 ) . 1.302 ( 4 .4 4 ) . Period 3 Period 4 Period 5 Period 6 Period 7 Constant *** 1.254 *** 1.342 *** ( 3 .50 ) . 1.12 ** ( 2 .3 4 ) . 1.421 *** ( 3 .3 5) . 1.156 *** 0.968 ( 3 .0 5) . * ( 1. 9 4 ) . 1.181 *** 0.576 ( 3 . 16 ) . 1.144 ( 0 .79 ) . -0.13 -0.25 -0.43 -0.23 -0.46 -0.17 -0.12 -0.23 -0.12 -0.23 -0.12 ( - 0 .4 6 ) ( - 0 .8 0 ) ( - 0 .4 2 ) ( - 0 .8 4 ) ( - 0 . 3 1) ( - 0 . 16 ) ( - 0 . 3 1) ( - 0 . 16 ) ( - 0 . 3 1) ( - 0 . 17 ) -1.080 -1.21 -1.06 -1.21 -0.95 -1.12 -1.51 -1.31 -1.51 -1.18 -1.53 ( - 1. 6 2 ) ( - 1. 8 2 ) ( - 1. 5 4 ) ( - 1. 8 2 ) ( - 1. 3 5 ) ( - 1. 6 9 ) ( - 1. 6 8 ) ( - 1. 3 8 ) ( - 1. 6 9 ) ( - 1. 2 4 ) ( - 1. 7 4 ) -3.21 -3.24 -5.16 -3.22 -3.1 -3.13 -3.05 -2.98 -3.04 -2.96 -3.06 ( - 5.2 4 ) ( - 5 . 2 1) ( - 5.0 8 ) ( - 5 . 2 1) ( - 4 .9 0 ) ( - 5 . 11) ( - 3 .70 ) ( - 3 .6 0 ) ( - 3 .72 ) ( - 3 .73 ) ( - 3 .9 3 ) -1.78 -1.75 -1.76 -1.73 -1.84 -1.69 -1.87 -1.97 -1.87 -1.99 -1.88 ( - 2 .9 5) ( - 3 .0 0 ) ( - 3 .0 2 ) ( - 2 .9 6 ) ( - 2 .9 9 ) ( - 2 .9 0 ) ( - 2 .4 2 ) ( - 2 .54 ) ( - 2 .4 2 ) ( - 2 .53 ) ( - 2 .4 8 ) -2.31 -2.45 -2.23 -2.43 -2.22 -2.38 -3.44 -3.35 -3.44 -3.24 -3.45 ( - 3 .4 6 ) ( - 3 .76 ) ( - 3 .2 5) ( - 3 .76 ) ( - 3 .2 8 ) ( - 3 .72 ) ( - 4 .0 4 ) ( - 3 .6 4 ) ( - 4 .0 4 ) ( - 3 .53 ) ( - 4 . 11) 8.84 -3.41 -3.73 -4.21 -0.32 -3.78 -1.84 -0.54 -2.06 3.19 -1.89 ( 4 .4 2 ) . ( - 1. 0 2 ) ( - 1. 0 9 ) ( - 1. 4 3 ) ( - 0 .0 6 ) ( - 0 .8 4 ) ( - 0 .4 0 ) ( - 0 . 10 ) ( - 0 .4 8 ) ( 0 .4 3 ) . ( - 0 .3 5) ^^^ ^^^ 277 0.4126 17.70 1.73 277 0.4283 16.40 1.70 258 0.4263 16.58 1.73 ^^^ ^^^ 277 0.4275 17.38 1.73 258 0.4083 18.92 1.73 ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ 277 0.4233 19.70 1.73 192 0.4455 11.08 1.72 175 0.4472 11.02 1.75 192 0.4453 11.87 1.75 175 0.4402 12.24 1.75 ** ( 2 .3 4 ) . ( - 0 .2 2 ) Only Lo w inc o me Out lie rs Omit t e d 2 S LS Observations R^2 F-Stat F-Crit at 95% ( 4 .57) . ^^^ ^^^ 192 0.4453 13.36 1.75 74 Table 2 CPI Policy, BD Countries and Years BD cpi Variable bdlgdp bdethnf bdssa 1 Coefficient (t-value) -1.007 *** bdm21 bdbb 5+/2SLS LOW-INCOME COUNTRY SAMPLE 8/OLS 8+/OLS 8/2SLS 8+/2SLS 7/OLS -0.962 *** -0.911 *** -0.846 *** -1.129 *** -0.951 ** -1.285 *** -1.312 *** -1.290 *** -1.380 *** -1.291 *** ( - 2 .9 4 ) ( - 2 .79 ) - 2 .6 5 ( - 2 .6 6 ) ( - 2 .3 0 ) ( - 2 .9 6 ) ( - 2 .72 ) ( - 2 .9 9 ) ( - 2 .6 5) -0.831 -0.569 -0.516 -0.386 -1.000 -0.738 -0.715 -0.929 -0.630 -1.400 -0.648 ( - 1. 0 7 ) ( - 0 .74 ) ( - 0 .6 5) ( - 0 . 5 1) ( - 1. 0 4 ) ( - 0 .8 0 ) ( - 0 .75) ( - 0 . 9 1) ( - 0 .6 7) ( - 1. 11) ( - 0 .6 4 ) -2.446 *** 2.145 *** ( 3 .9 6 ) . bdicrge 5/2SLS ( - 3 .2 6 ) ( - 3 .54 ) bdeasia FULL SAMPLE 5/OLS 5+/OLS 4/OLS 0.767 *** -2.713 *** -2.679 *** -3.122 *** -1.832 ( - 3 . 11) 2.098 ( - 3 . 0 1) *** 2.239 *** 2.164 *** ( 3 . 9 1) . 0.779 ( - 3 .8 7) ( 4 .0 9 ) . ( 3 .9 9 ) . * ( - 1. 7 8 ) ( - 2 .78 ) -2.602 *** -3.191 *** -3.268 *** -3.414 *** -2.609 ** -3.398 *** ( - 2 .6 7) ( - 4 .0 3 ) ( - 4 .0 6 ) ( - 4 .6 6 ) ( - 2 .4 2 ) ( - 4 .0 4 ) 2.151 *** 2.191 *** 2.183 *** 2.453 *** 2.280 *** 2.434 *** 2.295 *** ( 3 . 8 1) . ( 3 .8 8 ) . ( 3 .58 ) . ( 3 .8 2 ) . ( 3 .74 ) . ( 3 .52 ) . ( 3 .70 ) . *** 0.858 *** 0.824 *** 0.794 *** 0.775 *** 0.819 *** 0.887 *** 0.827 *** 0.864 *** 0.829 *** ( 4 .72 ) . ( 4 .6 4 ) . ( 5 . 11) . ( 5.0 2 ) . ( 4 .4 9 ) . ( 4 .3 9 ) . ( 3 .73 ) . ( 3 . 9 1) . ( 3 .78 ) . ( 3 .8 2 ) . -0.003 -0.006 -0.019 -0.011 -0.011 -0.004 0.009 -0.005 0.008 -0.004 ( 3 .74 ) . 0.008 ( - 0 . 17 ) ( - 0 .3 9 ) ( - 1. 2 5 ) ( - 0 .75) ( - 0 .6 6 ) ( - 0 .2 4 ) ( 0 .50 ) . ( - 0 .2 8 ) ( 0 .4 5) . ( - 0 . 19 ) ( 0 .4 5) . 10.022 *** ( 2 .74 ) . bdinfl1 -0.485 ( - 1. 13 ) bdsacw 0.005 ( 0 . 5 1) . bdaid bdaidpolicy1 bdaid2policy1 bdpolicy1 10.067 -69.719 53.888 -127.732 -24.195 62.731 -88.108 101.022 -223.511 90.398 ( 0 . 15 ) . ( - 0 .6 2 ) ( 0 .8 9 ) . ( - 0 .8 3 ) ( - 0 . 18 ) ( 0 .8 9 ) . ( - 0 .6 0 ) - 1. 6 4 ( - 0 .8 6 ) ( 0 . 7 1) . -3.867 10.720 -5.444 14.671 4.099 -10.071 14.352 -12.455 30.444 -10.956 ( - 0 .4 2 ) - 0 .6 3 ( - 0 .6 0 ) ( 0 .6 5) . ( 0 . 2 1) . ( - 1. 0 6 ) ( 0 .6 6 ) . ( - 1. 3 2 ) ( 0 .8 4 ) . ( - 0 .58 ) 35.643 23.937 ( 1. 4 9 ) . ( 0 .9 4 ) . 1.130 ( 2 .3 8 ) . Period 3 Period 4 Period 5 Period 6 Period 7 Constant ** 0.831 ( 2 .8 5) . 0.895 ( 0 .79 ) . 1.668 *** 0.931 ( 1. 2 3 ) . ( 3 .0 7) . 1.868 *** 0.192 ( 1. 2 3 ) . ( 3 .6 7) . 1.802 ( 0 . 15 ) . -0.24 -0.40 -0.41 -0.32 -0.45 -0.26 -0.26 -0.18 -0.23 -0.18 -0.23 ( - 0 .59 ) ( - 0 . 6 1) ( - 0 .4 7) ( - 0 .6 6 ) ( - 0 .3 8 ) ( - 0 .3 3 ) ( - 0 .2 3 ) ( - 0 .2 9 ) ( - 0 .2 2 ) ( - 0 .2 8 ) -1.50 -1.61 -1.38 -1.60 -1.28 -1.53 -1.23 -0.97 -1.25 -0.78 -1.25 ( - 2 .0 2 ) ( - 2 . 18 ) ( - 1. 8 3 ) ( - 2 . 16 ) ( - 1. 6 7 ) ( - 2 .0 5) ( - 1. 2 8 ) ( - 0 .9 8 ) ( - 1. 3 1) ( - 0 .78 ) ( - 1. 3 3 ) -3.41 -3.45 -3.44 -3.39 -3.47 -3.45 -2.60 -2.64 -2.57 -2.65 -2.58 ( - 5 . 11) ( - 5.0 8 ) ( - 5.0 3 ) ( - 5.0 4 ) ( - 4 .9 7) ( - 4 .9 0 ) ( - 3 .0 7) ( - 3 .0 0 ) ( - 3 .0 4 ) ( - 3 . 10 ) ( - 3 . 14 ) -1.90 -1.96 -1.79 -1.86 -1.82 -1.92 -1.56 -1.40 -1.53 -1.31 -1.54 ( - 2 .9 3 ) ( - 3 .0 8 ) ( - 2 .8 3 ) ( - 2 .9 3 ) ( - 2 .8 4 ) ( - 2 .9 3 ) ( - 1. 9 6 ) ( - 1. 7 3 ) ( - 1. 9 1) ( - 1. 6 3 ) ( - 1. 9 5 ) -2.35 -2.53 -2.17 -2.45 -2.13 -2.36 -3.11 -2.88 -3.10 -2.69 -3.09 ( - 3 .3 3 ) ( - 3 .6 7) ( - 3 .0 4 ) ( - 3 .56 ) ( - 3 .0 2 ) ( - 3 . 4 1) ( - 3 .54 ) ( - 3 .0 2 ) ( - 3 . 5 1) ( - 2 .76 ) ( - 3 .4 7) 7.32 -1.14 0.25 -3.67 4.40 0.26 -3.61 1.60 -5.31 7.83 -4.86 ( 2 .9 7) . ( - 0 .3 0 ) ( 0 .0 7) . ( - 1. 13 ) ( 0 .79 ) . ( 0 .0 5) . ( - 0 .70 ) ( 0 .2 5) . ( - 1. 15 ) ( 0 .73 ) . ( - 0 .77) ^^^ ^^^ 272 0.4635 16.21 1.73 272 0.383 15.60 1.70 252 0.3862 15.73 1.73 ^^^ ^^^ 272 0.3776 16.07 1.73 252 0.3736 17.43 1.73 ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ 272 0.3673 17.36 1.73 185 0.4440 12.95 1.72 167 0.4525 12.76 1.75 185 0.4413 13.48 1.75 167 0.4413 13.54 1.75 ** ( 2 .2 9 ) . ( - 0 .3 5) Only Lo w inc o me Out lie rs Omit t e d 2 S LS Observations R^2 F-Stat F-Crit at 95% 1.304 *** 0.550 ( 1. 5 2 ) . ^^^ ^^^ 185 0.4412 15.15 1.75 75 Table 3 GDP Deflator Pilicy, ELR Countries, BD Years FULL SAMPLE 5/OLS 5+/OLS P o lic y 2 Variable elrlgdp elrethnf elrssa 1 Coefficient (t-value) -0.682 *** ( - 3 . 19 ) -1.344 -1.484 ( - 1. 5 7 ) ( - 1. 6 7 ) -1.621 *** 2.38 0.315 *** ** 2.639 *** 0.395 -0.001 *** ( - 2 .54 ) ( - 3 .2 5) ( - 2 .52 ) -0.973 -1.327 -1.161 -1.571 ( - 1. 11) ( - 1. 5 0 ) ( - 1. 2 7 ) ( - 1. 6 9 ) -2.209 2.56 0.392 -0.001 *** -0.001 LOW-INCOME COUNTRY SAMPLE 8/OLS 8+/OLS 8/2SLS 8+/2SLS 7/OLS * * -0.953 ** -0.523 -0.936 ** -0.519 ( - 1. 8 5 ) ( - 2 .50 ) ( - 1. 4 0 ) ( - 2 .3 2 ) -1.265 -0.859 -1.118 -0.855 ( - 1. 3 9 ) -1.024 ( - 1. 2 1) ( - 0 .8 5) ( - 1. 0 9 ) ( - 0 .8 2 ) ( - 0 .9 9 *** -1.97 *** -1.941 *** -1.742 *** -1.467 ** -1.937 *** -1.800 *** -1.953 ( - 3 .0 7) *** ( - 2 .59 ) ( - 2 .6 5) ( - 2 .0 7) 2.86 *** 2.494 *** 2.776 *** ( 5.4 5) . ( 4 .8 9 ) . ( 5.2 4 ) . *** 0.382 ** 0.385 *** 0.363 ( 2 .8 0 ) . ( - 7 . 10 ) 5+/2SLS *** -0.609 ** -0.946 *** -0.689 ** -0.719 ( 5.0 6 ) . *** 5/2SLS ( - 3 .50 ) ( - 3 .4 6 ) ( 2 .70 ) . ( - 8 .73 ) elrbb ** ( 5 . 2 1) . ( 2 .2 8 ) . elrm21 -1.631 * ( - 2 .4 0 ) ( 4 .53 ) . elricrge -0.791 *** -0.849 ( - 2 .9 0 ) ( - 2 .9 6 ) elreasia 4/OLS ( 2 .54 ) . ( 2 .74 ) . 2.98 ( - 3 .0 3 ) ( 2 . 4 1) . 0.471 -1.900 *** ( - 2 .4 8 ) ( - 2 .77) *** 2.956 *** 3.252 *** 2.982 *** 3.305 *** ( 5.4 0 ) . ** ( - 2 .6 7) ( 5.3 8 ) . ** ( 2 .4 9 ) . ( 5.6 5) . 0.487 *** 0.446 ( 2 .8 8 ) . ( 5 . 17 ) . ** ( 2 .2 7) . ( 5.3 5) . 0.482 *** 0.450 ( 2 .8 6 ) . ** ( 2 .3 0 ) . *** -0.001 *** -0.001 *** -0.001 *** -0.001 *** -0.001 *** -0.001 *** -0.001 *** -0.001 *** ( - 6 .55) ( - 7.0 6 ) ( - 5.54 ) ( - 6 .3 6 ) ( - 6 .2 6 ) ( - 5.9 4 ) ( - 6 .2 4 ) ( - 4 .6 7) ( - 5.0 5) 10.179 *** ( 2 .9 8 ) . klinfl -0.876 ** ( - 2 .0 6 ) elrsacw 0.016 ** ( 2 . 12 ) . elraid elraidpolicy2 elraid2policy2 1.700 3.012 2.026 -8.333 -2.564 5.200 5.991 1.822 1.572 8.146 ( 0 . 18 . ) ( 0 .3 7) . ( 0 . 18 ) . ( - 0 .6 0 ) ( - 0 . 19 ) ( 0 .3 8 ) . ( 0 .53 ) . ( 0 . 11) . ( 0 . 10 ) . ( 0 .4 8 ) . -1.120 -0.211 1.506 0.310 1.255 -1.787 -1.186 1.527 -0.440 1.013 ( - 0 .76 ) ( - 0 .2 0 ) ( 1. 11) . ( 0 . 2 1) . ( 0 .8 2 ) . ( - 0 .8 7) ( - 0 . 8 1) ( 0 .74 ) . ( - 0 .2 5) ( 0 .53 ) . 10.992 ** 11.571 ( 2 . 4 1) . elrpolicy2 0.222 ( 3 . 12 ) . Period 3 Period 4 Period 5 Period 6 Period 7 Constant *** 0.206 *** 0.158 ** ( 3 . 19 ) . ( 2 .2 6 ) . 0.186 *** 0.168 ( 2 .70 ) . ** ( 2 .2 2 ) . 0.238 ** ( 2 .2 3 ) . 0.229 ** ( 2 .4 3 ) . 0.140 0.200 ** ( 1. 4 2 ) . ( 2 .0 8 ) . 0.160 ( 1. 6 0 ) . 0.53 -0.81 0.26 -0.82 -0.22 -0.72 -0.90 -0.24 -0.92 -0.25 -0.97 ( - 0 .78 ) ( - 1. 2 1) ( - 0 .4 3 ) ( - 1. 2 3 ) ( - 0 .3 6 ) ( - 1. 0 8 ) ( - 1. 0 1) ( - 0 . 3 1) ( - 1. 0 4 ) ( - 0 .3 3 ) ( - 1. 12 ) -1.69 -2.1 -1.61 -2.14 -1.52 -2.01 -2.08 -1.49 -2.15 -1.51 -2.21 ( - 2 . 18 ) ( - 2 .70 ) ( - 2 .2 6 ) ( - 2 .75) ( - 2 . 13 ) ( - 2 .6 0 ) ( - 2 .0 6 ) ( - 1. 6 6 ) ( - 2 . 14 ) ( - 1. 7 4 ) ( - 2 .2 8 ) -3.24 -3.59 -2.96 -3.71 -2.88 -3.61 -3.11 -2.22 -3.32 -2.25 -3.36 ( - 4 . 6 1) ( - 5.0 9 ) ( - 4 .9 3 ) ( - 5.3 2 ) ( - 5 . 0 1) ( - 5.3 6 ) ( - 3 .3 0 ) ( - 2 .8 4 ) ( - 3 .59 ) ( - 3 .0 3 ) ( - 3 .8 3 ) -2.09 -2.18 -1.55 -2.29 -1.48 -2.22 -1.99 -1.13 -2.14 -1.16 -2.18 ( - 3 .0 6 ) ( - 3 . 17 ) ( - 2 .56 ) ( - 3 .3 3 ) ( - 2 .53 ) ( - 3 .3 0 ) ( - 2 . 19 ) ( - 1. 4 6 ) ( - 2 .3 8 ) ( - 1. 5 8 ) ( - 2 .53 ) -2.09 -2.02 -1.47 -2.13 -1.36 -2.04 -2.83 -2.12 -2.96 -2.12 -3.03 ( - 3 .0 2 ) ( - 2 .8 2 ) ( - 2 .3 6 ) ( - 3 .0 0 ) ( - 2 .2 0 ) ( - 2 .9 4 ) ( - 2 .9 8 ) ( - 2 .6 0 ) ( - 3 . 16 ) ( - 2 . 6 1) ( - 3 .3 6 ) 6.98 6.24 6.01 5.21 7.00 5.94 5.14 5.82 4.30 5.93 4.03 ( 3 .8 5) . ( 2 .9 5) . ( 2 .9 2 ) . ( 2 .55) . ( 2 .77) . ( 2 .4 5) . ( 1. 6 5 ) . ( 1. 9 1) . ( 1. 4 2 ) . ( 1. 8 1) . ( 1. 2 9 ) . Only Lo w inc o me Out lie rs Omit t e d 2 S LS Observations R^2 F-Stat F-Crit at 95% ** ( 2 .3 4 ) . ^^^ ^^^ 324 0.3198 70.08 1.72 318 0.3298 55.78 1.70 289 0.3271 64.95 1.73 ^^^ ^^^ 318 0.3189 50.72 1.72 289 0.3236 70.96 1.73 ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ 318 0.3143 62.90 1.72 225 0.3508 56.69 1.71 198 0.3709 59.91 1.74 225 0.3362 52.60 1.74 198 0.3705 59.42 1.74 ^^^ ^^^ 225 0.3354 54.08 1.74 76 Table 4 CPI Policy, ELR Countries, BD Years Policy 1 Variable elrlgdp elrethnf elrssa 1 Coefficient (t-value) -0.456 -0.587 ( - 1. 5 3 ) ( - 1. 8 2 ) -0.298 -0.775 * -0.409 ( - 0 .9 4 ) ( - 1. 9 5 ) -1.105 ( - 1. 14 ) *** -0.952 ** -0.787 ** -0.962 ** -0.754 ( - 2 .9 5) ( - 2 .3 8 ) ( - 2 .0 9 ) ( - 2 .2 5) -0.506 -0.614 -1.009 -0.971 -0.970 -0.460 -0.599 -0.975 -0.786 ( - 0 . 6 1) ( - 0 .73 ) ( - 1. 0 9 ) ( - 1. 0 7 ) ( - 1. 0 3 ) ( - 0 .4 9 ) ( - 0 .6 5) ( - 0 .9 2 ) ( - 0 . 8 1) -1.685 ** -0.392 -1.250 ( - 2 .2 7) ( - 0 .4 7) ( - 1. 7 2 ) -1.379 ** 2.666 *** 0.255 -1.317 ( - 1. 6 6 ) 2.533 ** 0.298 ( 4 .52 ) . ** ( 2 .2 4 ) . -0.001 * * ( 5 . 14 ) . 0.422 *** 0.275 ( 3 . 19 ) . ( 1. 9 9 ) . ( 4 .3 9 ) . ** ( 5.0 6 ) . ( - 5.6 8 ) ( - 5.6 5) ( 1. 5 4 ) . ( - 6 .59 ) 2.642 0.318 ( - 6 .2 9 ) -0.001 -2.131 *** -2.209 *** -1.217 ( - 3 .2 3 ) ( - 3 .57) -1.948 *** ( - 1. 3 7 ) ( - 2 .6 6 ) *** 2.613 *** 3.091 *** 2.636 *** 3.202 *** ( 4 . 6 1) . ** ( 2 .0 3 ) . *** -0.001 *** -0.001 *** -0.001 *** -0.001 *** ( - 6 .2 9 ) ** ( 4 .6 8 ) . 0.364 *** 0.216 ( 2 .70 ) . -1.651 ( - 2 .53 ) *** 2.406 *** 2.840 *** 2.419 *** 2.920 *** ( 4 .8 2 ) . -0.001 *** 8.110 -1.187 ( - 1. 5 3 ) * ( - 1. 9 5 ) -0.938 ( - 6 .4 7) elrbb * LOW-INCOME COUNTRY SAMPLE 8/OLS 8+/OLS 8/2SLS 8+/2SLS 7/OLS ( - 1. 12 ) ( 2 . 0 1) . elrm21 -0.536 ( - 1. 6 6 ) 5+/2SLS -1.060 ( 5 . 0 1) . elricrge * 5/2SLS ( - 1. 3 1) ( - 2 .2 2 ) elreasia FULL SAMPLE 5/OLS 5+/OLS 4/OLS ( 5 . 16 ) . ( 4 .53 ) . 0.473 *** 0.267 ( 3 .0 3 ) . ( 5.0 0 ) . 0.462 *** 0.257 ( 1. 5 8 ) . ( 2 .9 3 ) . ( 1. 5 0 ) . *** -0.001 *** -0.001 *** -0.001 *** -0.001 *** ( - 6 .52 ) ( - 5.77) ( - 5.76 ) ( - 5.3 3 ) ( - 4 .75) 58.241 36.017 44.059 -105.42 -24.9 ( 1. 5 3 ) . ( 0 .8 8 ) . ( 1. 2 1) . ( - 1. 0 7 ) ( - 0 . 3 1) * ( 1. 6 7 ) . elrinfl -1.478 *** ( - 2 .6 7) elrsacw 0.006 ( 0 .72 ) . elraid elraidpolicy1 elraid2policy1 6.271 -18.448 -1.283 ( 0 .2 5) . ( - 0 .58 ) ( - 0 .0 5) -117.64 ** -76.65 ( - 2 .2 6 ) -4.746 2.045 2.288 16.452 14.794 ( - 0 .9 5) ( 0 .3 3 ) . ( 0 .4 7) . ( 1. 6 1) . ( 1. 7 7 ) . 23.701 * ( - 1. 6 9 ) * 1.046 ( 3 .6 3 ) . Period 3 Period 4 Period 5 Period 6 Period 7 Constant *** -7.042 -5.82 15.96 6.531 ( - 0 .8 7) ( - 0 .8 3 ) ( 0 .8 8 ) . ( 0 .4 5) . 26.885 *** ( 3 .9 0 ) . *** 0.944 *** 0.903 *** 0.542 ** 0.543 ( 3 . 4 1) . ( 3 .2 5) . ( 2 . 19 ) . ** ( 2 .2 0 ) . 1.674 *** 1.453 ( 2 .6 4 ) . ** ( 2 .4 0 ) . 1.405 ** ( 2 .4 7) . 0.467 0.850 ( 0 .57) . ( 1. 15 ) . 0.21 0.05 -0.06 0.03 -0.01 0.16 0.07 0.04 -0.02 0.07 -0.01 ( 0 .3 0 ) . ( - 0 .0 8 ) ( - 0 .0 8 ) ( 0 .0 5) . ( - 0 .0 2 ) ( 0 .2 4 ) . ( 0 .0 9 ) . ( 0 .0 6 ) . ( - 0 .0 2 ) ( 0 .0 9 ) . ( - 0 . 0 1) -1.380 -1.61 -1.58 -1.66 -1.45 -1.53 -1.01 -0.96 -1.16 -0.83 -1.17 ( - 1. 9 4 ) ( - 2 .2 3 ) ( - 2 . 17 ) ( - 2 .2 8 ) ( - 1. 9 4 ) ( - 2 .0 5) ( - 1. 16 ) ( - 1. 0 8 ) ( - 1. 2 9 ) ( - 0 .9 5) ( - 1. 3 2 ) -2.81 -2.79 -2.76 -2.99 -2.66 -2.95 -1.7 -1.75 -2.09 -1.75 -2.18 ( - 4 . 7 1) ( - 4 .58 ) ( - 4 .4 6 ) ( - 4 .8 5) ( - 4 .2 9 ) ( - 4 .8 5) ( - 2 .2 4 ) ( - 2 .2 7) ( - 2 .6 7) ( - 2 .3 2 ) ( - 2 .8 6 ) -1.65 -1.61 -1.62 -1.81 -1.45 -1.79 -0.99 -1.14 -1.37 -0.89 -1.39 ( - 2 .77) ( - 2 .6 7) ( - 2 .6 8 ) ( - 2 . 9 1) ( - 2 .3 4 ) ( - 2 .9 2 ) ( - 1. 3 6 ) ( - 1. 5 3 ) ( - 1. 7 6 ) ( - 1. 2 4 ) ( - 1. 8 4 ) -1.51 -1.47 -1.39 -1.63 -1.01 -1.45 -1.80 -1.87 -2.14 -1.34 -2.02 ( - 2 .4 2 ) ( - 2 .3 6 ) ( - 2 .2 0 ) ( - 2 .58 ) ( - 1. 5 3 ) ( - 2 .2 8 ) ( - 2 .3 4 ) ( - 2 .3 7) ( - 2 .6 7) ( - 1. 6 6 ) ( - 2 .4 7) 5.53 0.60 0.00 -0.97 4.39 2.14 0.23 -0.57 -0.80 5.20 2.10 ( 2 .58 ) . ( 0 .2 2 ) . ( 0 .0 0 ) . ( - 0 .3 7) ( 1. 4 5 ) . ( 0 .76 ) . ( 0 .0 5) . ( - 0 . 14 ) ( - 0 .2 0 ) ( 1. 0 1) . ( 0 .4 4 ) . Only Lo w inc o me Out lie rs Omit t e d 2 S LS Observations R^2 F-Stat F-Crit at 95% * ( - 1. 9 6 ) ( 3 .58 ) . elrpolicy1 -15.055 ^^^ ^^^ 311 0.2928 71.08 1.73 305 0.327 72.55 1.70 291 0.3192 65.80 1.73 ^^^ ^^^ 305 0.3043 64.17 1.73 291 0.2868 76.87 1.73 ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ 305 0.288 66.28 1.73 208 0.4180 55.27 1.72 196 0.4074 64.79 1.75 208 0.3772 46.70 1.75 196 0.3595 66.85 1.75 ^^^ ^^^ 208 0.3675 48.46 1.75 77 Table 5 GDP Deflator Policy, ELR Countries and Years FULL SAMPLE 5/2SLS 5+/OLS 5/OLS Policy4 4/OLS 1 Variable LOW-INCOME COUNTRY SAMPLE 8+/2SLS 8/2SLS 8+/OLS 8/OLS 7/OLS 5+/2SLS Coefficient (t-value) elrlgdp elrethnf elrssa 0.030 0.019 -0.021 0.046 -0.020 0.062 -0.004 -0.053 0.048 -0.010 0.090 ( 0 . 16 ) . ( 0 . 11) . ( - 0 . 12 ) ( 0 .2 5) . ( - 0 . 11) ( 0 .3 2 ) . ( - 0 .0 2 ) ( - 0 .2 5) ( 0 .2 3 ) . ( - 0 .0 5) ( 0 .4 2 ) . -0.427 -0.131 0.271 -0.119 0.116 -0.328 0.462 0.818 0.319 0.506 0.068 ( - 0 .55) ( - 0 . 18 ) ( 0 .3 8 ) . ( - 0 . 16 ) ( 0 . 15 ) . ( - 0 . 4 1) ( 0 .55) . ( 1. 0 0 ) . ( 0 .3 8 ) . ( 0 .57) . ( 0 .0 7) . -0.947 * elreasia 2.491 *** elrm21 elrbb * 2.583 0.209 0.258 ( 1. 6 0 ) . ( 1. 9 8 ) . -2.086 *** *** 2.568 *** 0.336 ** 2.748 ** *** 0.255 * 2.686 *** * 0.269 -0.912 -1.096 -1.912 ( - 1. 17 ) ( - 1. 6 4 ) ( - 2 .9 6 ) 2.738 * * ( 1. 9 6 ) . 2.655 *** 0.187 0.309 ( 1. 3 8 ) . ( 1. 7 2 ) . 2.694 *** * 0.403 -1.353 ** *** 2.950 *** ** ** 3.168 0.289 0.385 ( 1. 5 7 ) . ( 2 .0 8 ) . -1.097 ( - 1. 4 5 ) *** 2.976 ** 0.285 ( 1. 5 5 ) . 0.003 -0.005 -0.009 -0.004 -0.006 0.001 0.008 0.003 0.008 -0.003 0.007 ( 0 . 2 1) . ( - 0 .52 ) ( - 0 .9 4 ) ( - 0 .4 3 ) ( - 0 .54 ) ( 0 .0 6 ) . ( 0 .6 3 ) . ( 0 .2 3 ) . ( 0 .59 ) . ( - 0 . 19 ) ( 0 .50 ) . 10.277 *** ( 4 .75) . ( 4 .8 9 ) . ( 5 . 18 ) . ( 2 .2 2 ) . -2.234 ( - 2 .6 8 ) ( - 2 .0 7) ( 4 .79 ) . ( 4 .73 ) . ( 1. 6 7 ) . ( 4 .6 6 ) . ( 1. 9 2 ) . ( 2 .56 ) . -1.592 ( - 1. 8 1) ( 5.0 9 ) . ( 4 . 8 1) . ** -1.611 ( - 2 .58 ) ( - 3 .3 5) ( 4 .8 9 ) . ( 4 .6 6 ) . elricrge -1.272 ( - 1. 9 3 ) ( - 1. 7 8 ) ** ( 2 .3 9 ) . klinfl -0.772 ** ( - 2 .3 2 ) elrsacw 0.012 ( 1. 6 0 ) . elraid elraidpolicy4 20.642 19.05 11.550 -37.74 -36.31 14.895 12.88 1.335 -49.42 -31.600 ( 1. 0 2 ) . ( 0 .8 3 ) . ( 0 .58 ) . ( - 1. 6 1) ( - 1. 6 4 ) ( 0 .6 0 ) . ( 0 .4 4 ) . ( 0 .0 5) . ( - 1. 2 4 ) ( - 0 .9 7) -8.507 -0.412 0.591 18.344 ( - 1. 14 ) ( - 0 .0 5) ( 0 . 10 ) . ( 1. 8 0 ) . 25.452 elraid2policy4 * 13.976 * ( 1. 8 8 ) . 1.1430 ( 4 . 2 1) . Period 3 Period 4 Period 5 Period 6 Period 7 Period 8 Constant 3.323 29.249 ( 0 .4 2 ) . ( 1. 8 0 ) . * 13.821 ( 1. 2 8 ) . ** ( 2 . 18 ) . *** 1.045 *** 0.918 ( 3 .6 5) . ( 3 .8 3 ) . *** 0.495 0.506 1.116 ( 1. 5 7 ) . ( 1. 6 2 ) . ( 2 . 6 1) . ** 0.980 ** 0.740 * ( 1. 9 3 ) . ( 2 .2 9 ) . -0.114 0.270 ( - 0 . 18 ) ( 0 .4 8 ) . -0.57 -0.80 -0.73 -0.78 -0.64 -0.63 -0.62 -0.55 -0.63 -0.61 -0.60 ( - 0 .74 ) ( - 1. 0 8 ) ( - 1. 0 2 ) ( - 1. 0 5 ) ( - 0 .8 6 ) ( - 0 .8 3 ) ( - 0 .6 5) ( - 0 .6 0 ) ( - 0 .6 6 ) ( - 0 .6 6 ) ( - 0 .6 3 ) -1.91 -2.13 -2.00 -2.13 -1.92 -1.98 -2.07 -1.91 -2.08 -2.03 -2.05 ( - 2 . 17 ) ( - 2 .4 4 ) ( - 2 .2 8 ) ( - 2 .4 2 ) ( - 2 . 19 ) ( - 2 .2 5) ( - 1. 8 7 ) ( - 1. 7 3 ) ( - 1. 8 9 ) ( - 1. 8 7 ) ( - 1. 9 2 ) -3.35 -3.37 -3.18 -3.47 -3.26 -3.47 -3.01 -2.75 -3.18 -2.99 -3.226 ( - 4 .2 2 ) ( - 4 .2 5) ( - 4 .0 0 ) ( - 4 .3 7) ( - 4 .0 6 ) ( - 4 .3 8 ) ( - 2 .9 3 ) ( - 2 .72 ) ( - 3 . 11) ( - 2 .9 2 ) ( - 3 . 19 ) -2.55 -2.44 -2.43 -2.57 -2.51 -2.65 -2.31 -2.29 -2.46 -2.46 -2.497 ( - 3 .4 6 ) ( - 3 .2 5) ( - 3 . 16 ) ( - 3 .3 6 ) ( - 3 .2 3 ) ( - 3 .4 0 ) ( - 2 .4 3 ) ( - 2 .3 6 ) ( - 2 .56 ) ( - 2 .4 8 ) ( - 2 .56 ) -2.41 -2.40 -2.42 -2.44 -2.28 -2.28 -2.99 -3.07 -3.06 -3.01 -2.92 ( - 3 . 14 ) ( - 3 .0 3 ) ( - 3 .0 3 ) ( - 3 .0 6 ) ( - 2 .8 3 ) ( - 2 .8 0 ) ( - 2 .9 4 ) ( - 3 .0 2 ) ( - 3 .0 0 ) ( - 2 .9 4 ) ( - 2 .8 5) -1.65 -1.57 -1.52 -1.56 -1.47 -1.53 -1.73 -1.703 -1.75 -1.586 -1.66 ( - 2 .3 4 ) ( - 2 . 17 ) ( - 2 .0 8 ) ( - 2 . 14 ) ( - 1. 9 7 ) ( - 2 .0 2 ) ( - 1. 8 5 ) ( - 1. 8 0 ) ( - 1. 8 5 ) ( - 1. 6 5 ) ( - 1. 7 3 ) 2.34 0.40 -0.42 -0.18 1.29 1.13 -1.04 -0.96 -0.51 1.76 0.67 ( 1. 5 3 ) . ( - 0 .2 5) ( - 0 .2 6 ) ( - 0 . 11) ( 0 .76 ) . ( 0 .6 5) . ( - 0 . 5 1) ( - 0 .4 7) ( - 0 .2 4 ) ( 0 .72 ) . ( 0 .2 7) . ^^^ ^^^ ^^^ 321 0.2658 14.96 1.69 321 0.2939 16.78 1.67 310 0.2907 14.78 1.70 321 0.2846 14.33 1.69 309 0.2708 16.01 1.70 ^^^ 320 0.2634 15.41 1.69 239 0.2940 11.76 1.68 228 0.2904 10.19 1.71 239 0.2817 9.35 1.71 ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ Only Lo w inc o me Out lie rs Omit t e d 2 S LS Observations R^2 F-Stat F-Crit at 95% 0.492 ( 0 .0 5) . 27.360 ** ( 2 .2 4 ) . elrpolicy4 -8.028 ( - 0 .8 5) 227 0.2602 9.84 1.71 ^^^ 238 0.2741 9.56 1.71 78 Table 6 CPI Policy, ELR Countries and Years FULL SAMPLE 5/OLS 5+/OLS P o lic y 3 Variable 1 Coefficient (t-value) elrlgdp 4/OLS 5/2SLS 5+/2SLS LOW-INCOME COUNTRY SAMPLE 8/OLS 8+/OLS 8/2SLS 8+/2SLS 7/OLS 0.015 -0.004 -0.072 -0.02 -0.053 0.023 0.082 0.051 0.047 0.011 0.131 ( 0 .0 8 ) . ( - 0 .0 2 ) ( - 0 .3 9 ) ( - 0 . 11) ( - 0 .2 7) ( 0 . 12 ) . ( 0 .4 0 ) . ( 0 .2 4 ) . ( 0 .2 3 ) . ( 0 .0 5) . ( 0 .6 2 ) . elrethnf -0.347 -0.058 0.245 0.025 0.101 -0.454 0.529 0.691 0.708 0.975 0.264 ( - 0 .4 7) ( - 0 .0 8 ) ( 0 .3 6 ) . ( 0 .0 4 ) . ( 0 . 14 ) . ( - 0 .6 0 ) ( 0 .73 ) . ( 0 .9 4 ) . ( 0 .9 7) . ( 1. 2 5 ) . ( 0 .3 3 ) . -1.403 ** -1.327 -0.683 -1.091 ( - 2 . 18 ) ( - 1. 2 8 ) ( - 0 .8 9 ) ( - 1. 7 1) elrssa elreasia -0.87 -0.932 ( - 1. 5 5 ) ( - 1. 3 1) 2.551 *** ( 4 .8 8 ) . elricrge elrm21 2.593 -1.594 ** ( - 2 . 19 ) *** ( 5.0 9 ) . 0.183 0.213 ( 1. 5 6 ) . ( 1. 7 6 ) . 2.53 *** 2.644 *** 2.548 *** 2.842 *** ( 4 .8 4 ) . * 0.312 ( 5 . 12 ) . ** ( 2 .53 ) . 0.233 ( 4 .2 6 ) . * ( 1. 9 4 ) . 0.281 ( 4 . 14 ) . ** ( 2 . 16 ) . 2.447 * *** 2.425 ( 4 .4 9 ) . 0.165 0.272 ( 1. 3 4 ) . ( 1. 7 3 ) . -1.862 *** -1.529 ** -2.086 ** ( - 2 .8 6 ) *** ( 4 .3 4 ) . * 0.431 ( - 2 .2 9 ) 2.64 *** 2.377 *** 2.57 ( 4 .72 ) . ( 3 .3 3 ) . ( 3 .8 8 ) . *** 0.253 0.418 ( 1. 5 8 ) . ( 2 .55) . ( 2 .6 4 ) . -1.19 ( - 2 .54 ) ** 0.271 0.012 0.004 0.000 0.004 0.002 0.016 0.014 0.012 0.015 0.011 0.025 ( 0 .3 4 ) . ( - 0 .0 2 ) ( 0 .3 8 ) . ( 0 . 17 ) . ( 1. 14 ) . ( 1. 0 2 ) . ( 0 .8 3 ) . ( 1. 0 4 ) . ( 0 .6 4 ) . ( 1. 5 6 ) . -8.243 14.896 10.31500 38.483 ** ( - 0 .3 5) ( 0 .6 9 ) . ( 0 .3 3 ) . ( 2 . 3 1) . 9.902 *** * ( 1. 7 2 ) . ( 1. 0 6 ) . elrbb * ( - 1. 7 8 ) ** ( 2 .0 0 ) . elrinfl -1.141 ** ( - 2 .4 6 ) elrsacw 0.002 ( 0 .3 2 ) . elraid elraidpolicy3 elraid2policy3 15.927 13.554 33.489 ** -10.012 ( 0 . 9 1) . ( 0 . 6 1) . ( 2 . 4 1) . -14.816 ** -2.546 -12.675 ( - 2 . 0 1) ( - 0 . 2 1) 60.945 ( - 1. 7 4 ) ( - 0 .3 9 ) * 7.426 2.46 -16.992 ( 0 .3 8 ) . ( 0 .2 0 ) . ( - 1. 6 9 ) *** 1.3190 ( 3 . 5 1) . Period 3 Period 4 Period 5 Period 6 Period 7 Period 8 Constant -3.196 -16.41 ( - 0 . 18 ) ( - 1. 7 3 ) * 5.724 ( 0 . 19 ) . -14.84 -2.697 ( - 0 . 5 1) ( - 0 . 16 ) 65.575 *** ( 2 .6 2 ) . elrpolicy3 * 36.49 ( 0 .8 6 ) . ( 2 .6 2 ) . *** 1.164 *** 1.379 ( 2 .9 2 ) . ( 3 .58 ) . *** 0.898 ** 0.937 ( 2 .0 4 ) . ( 2 .2 9 ) . ** 1.541 *** ( 2 .6 0 ) . 1.239 * ( 1. 7 7 ) . 1.727 *** 1.701 ( 2 .77) . 1.139 ( 1. 6 2 ) . ( 1. 3 6 ) . 0.19 -0.05 0.13 -0.05 0.23 0.27 0.10 0.25 0.08 0.16 0.27 ( 0 .2 5) . ( - 0 .0 7) ( 0 . 17 ) . ( - 0 .0 6 ) ( 0 . 3 1) . ( 0 .3 7) . ( 0 . 14 ) . ( 0 .3 5) . ( 0 . 11) . ( 0 .2 3 ) . ( 0 .3 6 ) . -1.60 -1.80 -1.74 -1.82 -1.67 -1.53 -1.22 -1.08 -1.28 -1.14 -1.11 ( - 2 .0 2 ) ( - 2 .2 9 ) ( - 2 . 10 ) ( - 2 .3 0 ) ( - 2 . 0 1) ( - 1. 8 5 ) ( - 1. 3 2 ) ( - 1. 11) ( - 1. 3 6 ) ( - 1. 19 ) ( - 1. 19 ) -2.96 -2.87 -2.86 -2.95 -2.87 -2.95 -2.06 -2.11 -2.18 -2.06 -2.28 ( - 4 .4 4 ) ( - 4 .3 6 ) ( - 4 . 19 ) ( - 4 .4 0 ) ( - 4 .2 7) ( - 4 .4 6 ) ( - 2 .58 ) ( - 2 .58 ) ( - 2 .6 9 ) ( - 2 .53 ) ( - 2 .8 3 ) -2.22 -2.03 -2.06 -2.11 -2.10 -2.24 -1.46 -1.59 -1.60 -1.57 -1.75 ( - 3 .3 3 ) ( - 3 .0 8 ) ( - 3 .0 2 ) ( - 3 . 12 ) ( - 3 . 13 ) ( - 3 .3 8 ) ( - 1. 9 2 ) ( - 1. 9 9 ) ( - 2 .0 3 ) ( - 1. 9 9 ) ( - 2 .2 3 ) -1.97 -1.89 -1.85 -1.99 -1.77 -1.93 -2.17 -2.32 -2.35 -2.34 -2.34 ( - 2 .75) ( - 2 .77) ( - 2 .52 ) ( - 2 .8 5) ( - 2 .4 0 ) ( - 2 .79 ) ( - 2 .6 3 ) ( - 2 .57) ( - 2 .78 ) ( - 2 .58 ) ( - 2 .8 0 ) -1.08 -0.96 -0.96 -1.04 -0.94 -1.10 -0.82 -0.87 -0.98 -0.90 -1.04 ( - 1. 6 8 ) ( - 1. 5 6 ) ( - 1. 4 9 ) ( - 1. 6 3 ) ( - 1. 5 0 ) ( - 1. 7 3 ) ( - 1. 0 8 ) ( - 1. 10 ) ( - 1. 2 4 ) ( - 1. 18 ) ( - 1. 3 3 ) 2.23 -0.36 -0.19 -0.69 0.34 0.15 -2.31 -2.28 -2.77 -2.96 -2.21 ( 1. 4 8 ) . ( - 0 . 2 1) ( - 0 . 11) ( - 0 . 4 1) ( 0 .2 0 ) . ( 0 .0 9 ) . ( - 1. 19 ) ( - 1. 0 9 ) ( - 1. 4 4 ) ( - 1. 2 1) ( - 1. 0 9 ) Only Lo w inc o me Out lie rs Omit t e d 2 S LS Observations 312 R^2 0.2565 F-Stat 14.55 F-Crit at 95% 1.7 ^^^ ^^^ 312 0.2922 18.12 1.7 294 0.2834 14.30 1.73 ^^^ ^^^ 312 0.279 13.79 1.73 293 0.2782 14.85 1.73 ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ 311 0.2411 13.7 1.73 226 0.3360 12.37 1.72 209 0.3287 9.94 1.75 226 0.3167 8.99 1.75 208 0.3226 9.20 1.75 ^^^ ^^^ 225 0.2976 9.69 1.75 79 Table 7: GDP Deflator Policy, ELR Countries, All Years Policy6 Variable elrlgdp -0.581 ** ( - 3 .8 2 ) elrethnf elrssa *** -0.393 *** ( - 2 .4 7) -0.731 *** ( - 3 .76 ) -0.556 *** ( - 2 .8 8 ) -0.613 ** ( - 2 .4 5) -0.569 ** ( - 2 . 2 1) -0.532 ** ( - 2 . 11) -0.630 ** ( - 2 .3 4 ) -0.495 -0.479 -0.155 -0.323 -0.712 -0.799 -0.624 -0.260 -0.484 -0.709 -0.681 ( - 0 .2 9 ) ( - 0 .59 ) ( - 1. 15 ) ( - 1. 3 1) ( - 0 .9 4 ) ( - 0 .4 0 ) ( - 0 .74 ) ( - 0 .9 6 ) ( - 0 .9 7) -1.539 *** 1.441 0.251 -0.001 9.318 -1.617 *** ( - 3 .6 2 ) *** 1.502 *** ( 3 .6 3 ) . *** 0.278 -0.001 *** 1.443 *** 0.344 *** *** -0.001 *** 1.615 *** ( 3 .8 6 ) . *** ( 3 . 8 1) . ( - 9 .50 ) -1.933 ( - 4 .53 ) ( 3 .4 8 ) . ( 3 .0 2 ) . *** -1.856 ( - 4 .3 8 ) 0.289 *** -0.001 -1.248 ( - 2 .3 4 ) 1.279 *** ( 3 .0 8 ) . *** ( 3 . 12 ) . ( - 8 .4 3 ) -0.772 ( - 1. 2 4 ) 0.281 *** *** -0.001 0.220 *** *** -0.001 ( - 7.6 4 ) *** 1.845 ** 0.257 *** -0.001 *** 1.854 ** 0.333 *** *** -0.001 *** 2.011 *** ( 4 .2 4 ) . *** ( 2 .6 2 ) . ( - 7.70 ) -1.821 ( - 4 .0 3 ) ( 3 .9 6 ) . ( 1. 9 8 ) . *** -1.903 ( - 4 .2 0 ) ( 3 .9 2 ) . ( 2 .3 0 ) . ( - 7.78 ) -1.512 ( - 3 . 19 ) ( 3 .6 9 ) . ( 2 .9 7) . ( - 9 . 12 ) 1.542 ** 0.259 *** -0.001 -1.533 ( - 2 . 9 1) *** ( 3 .2 6 ) . ** ( 1. 9 9 ) . ( - 7 . 10 ) -1.040 ( - 1. 6 3 ) 1.567 0.310 *** -0.001 1.972 *** *** ( 4 .0 4 ) . ** ( 2 .4 0 ) . ( - 7.4 6 ) * ( - 1. 8 9 ) ( - 0 .8 8 ) ( - 10 . 14 ) elrbb -0.477 ( - 3 .0 2 ) LOW-INCOME COUNTRY SAMPLE 8/OLS 8+/OLS 8/2SLS 8+/2SLS 7/OLS -0.568 ( 2 .9 5) . elrm21 *** 5+/2SLS ( - 1. 0 4 ) ( 3 . 4 1) . elricrge -0.512 ( - 3 .2 4 ) ( - 4 .2 3 ) elreasia FULL SAMPLE 5/OLS 5+/OLS 5/2SLS 1 4/OLS Coefficient (t-value) 0.248 ** ( 1. 9 7 ) . *** ( - 6 .58 ) -0.001 *** ( - 6 . 14 ) *** ( 3 .2 8 ) . klinfl -0.116 *** ( - 4 .56 ) elrsacw 0.006 ( 1. 15 ) . elraid elraidpolicy6 elraid2policy6 18.559 -0.332 21.128 -45.51 -39.225 41.458 25.088 45.816 -14.059 -9.822 ( 0 .70 ) . ( - 0 . 0 1) ( 0 .79 ) . ( - 0 .9 9 ) ( - 1. 0 2 ) ( 1. 2 6 ) . ( 0 .74 ) . ( 1. 4 0 ) . ( - 0 . 2 1) ( - 0 . 18 ) -3.750 1.037 -1.507 3.23 5.384 -7.366 -2.482 -5.447 -0.312 2.438 ( - 0 .8 7) ( 0 .2 3 ) . ( - 0 .3 5) ( 0 .4 0 ) . ( 0 .8 4 ) . ( - 1. 3 9 ) ( - 0 .4 6 ) ( - 1. 0 3 ) ( - 0 .0 3 ) ( 0 .2 7) . 12.462 11.910 *** ( 2 .8 3 ) . elrpolicy6 1.068 ( 5 . 15 ) . Period 1 Period 2 Period 3 Period 4 Period 5 Period 6 Period 7 Period 8 Period 9 Period 10 Period 11 Constant *** 0.998 *** ( 5.0 6 ) . 1.039 ( 5.0 5) . *** 0.878 *** ( 3 . 6 1) . 0.830 *** ( 3 .6 9 ) . 1.261 *** ( 3 .9 0 ) . 1.169 *** ( 3 .8 5) . 1.244 *** ( 3 .9 0 ) . 0.986 ** ( 1. 9 8 ) . -1.39 -1.41 -1.42 -1.37 -1.384 -1.40 -1.40 ( - 2 .2 6 ) ( - 2 .2 8 ) ( - 2 .3 3 ) ( - 2 . 10 ) ( - 2 . 2 1) ( - 1. 7 0 ) ( - 1. 6 2 ) 0.904 1.34 1.40 1.42 1.43 ( 1. 6 8 ) . ( 1. 7 3 ) . ( 1. 7 2 ) . 0.75 -0.67 -0.84 -0.65 -0.80 -0.366 0.67 -0.80 0.72 -0.75 0.85 ( 1. 5 0 ) . ( - 1. 0 3 ) ( - 1. 3 3 ) ( - 0 .9 9 ) ( - 1. 2 2 ) ( - 0 .53 ) ( 1. 13 ) . ( - 0 .9 5) ( 1. 2 3 ) . ( - 0 .8 4 ) ( 1. 3 5 ) . -0.48 -1.92 -1.80 -1.92 -1.63 -1.565 -0.47 -1.66 -0.45 -1.46 -0.29 ( - 0 . 8 1) ( - 2 .4 8 ) ( - 2 .2 8 ) ( - 2 .4 9 ) ( - 2 .0 0 ) ( - 1. 9 5 ) ( - 0 .6 2 ) ( - 1. 6 2 ) ( - 0 . 6 1) ( - 1. 4 0 ) ( - 0 .3 7) -2.23 -3.37 -3.24 -3.44 -3.08 -3.188 -1.514 -2.70 -1.59 -2.53 -1.49 ( - 4 .53 ) ( - 4 .8 6 ) ( - 4 .59 ) ( - 4 .9 7) ( - 4 .2 7) ( - 4 .6 4 ) ( - 2 .3 5) ( - 2 .8 7) ( - 2 .52 ) ( - 2 .6 7) ( - 2 .3 6 ) -0.83 -2.09 -2.10 -2.15 -1.87 -2.02 -0.58 -2.04 -0.66 -1.77 -0.60 ( - 1. 6 7 ) ( - 3 .0 7) ( - 3 .0 2 ) ( - 3 . 16 ) ( - 2 .6 8 ) ( - 2 .9 8 ) ( - 0 .9 5) ( - 2 . 2 1) ( - 1. 0 8 ) ( - 1. 9 6 ) ( - 0 .9 9 ) -0.58 -2.04 -1.98 -2.11 -1.60 -1.817 -1.46 -2.88 -1.56 -2.45 -1.34 ( - 1. 13 ) ( - 2 .8 5) ( - 2 .70 ) ( - 2 .9 7) ( - 2 . 15 ) ( - 2 .53 ) ( - 2 . 17 ) ( - 2 .9 4 ) ( - 2 .3 7) ( - 2 .4 5) ( - 1. 9 2 ) 0.41 -1.15 -1.07 -1.18 -0.93 -1.065 0.07 -1.26 0.02 -1.06 0.10 ( 0 .9 3 ) . ( - 1. 8 4 ) ( - 1. 7 1) ( - 1. 8 8 ) ( - 1. 4 4 ) ( - 1. 7 0 ) ( 0 . 12 ) . ( - 1. 4 7 ) ( 0 .0 4 ) . ( - 1. 2 3 ) ( 0 . 18 ) . -0.93 -2.39 -2.36 -2.36 -2.36 -2.353 -0.71 -2.09 -0.68 -2.04 -0.66 ( - 2 . 11) ( - 3 .8 6 ) ( - 3 .79 ) ( - 3 . 8 1) ( - 3 .6 4 ) ( - 3 .72 ) ( - 1. 2 7 ) ( - 2 .4 8 ) ( - 1. 2 6 ) ( - 2 .3 7) ( - 1. 2 0 ) 0.89 -0.78 -0.81 -0.73 -0.79 -0.623 0.48 -1.00 0.53 -0.92 0.61 - 2 .1 ( - 1. 2 8 ) ( - 1. 3 4 ) ( - 1. 2 0 ) ( - 1. 2 6 ) ( - 1. 0 0 ) ( 0 . 9 1) . ( - 1. 2 3 ) ( 1. 0 3 ) . ( - 1. 11) ( 1. 17 ) . 1.03 -0.65 -0.67 -0.65 -0.63 -0.613 0.86 -0.59 0.84 -0.48 0.88 ( 2 .4 4 ) . ( - 1. 0 6 ) ( - 1. 0 8 ) ( - 1. 0 6 ) ( - 0 .9 8 ) ( - 0 .9 9 ) ( 1. 5 6 ) . ( - 0 . 7 1) ( 1. 5 8 ) . ( - 0 .57) ( 1. 6 4 ) . 6.70 -0.59 -0.90 -1.51 2.43 1.57 -2.49 -1.42 -3.24 0.80 -1.13 ( 5.3 8 ) . ( - 0 .3 3 ) ( - 0 .52 ) ( - 0 .8 6 ) ( 1. 12 ) . ( 0 .75) . ( - 0 .9 9 ) ( - 0 .57) ( - 1. 3 1) ( 0 .2 4 ) . ( - 0 .3 7) ^^^ ^^^ 1.60 577 0.2996 53.18 1.59 553 0.2955 43.42 1.61 ^^^ ^^^ 553 0.2516 64.81 1.61 553 0.2516 64.81 1.61 ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ 577 0.2525 58.54 1.61 408 0.3091 42.81 1.61 386 0.3059 58.20 1.61 408 0.2993 41.72 1.61 386 0.2707 51.93 1.61 ** ( 2 .0 9 ) . ( 2 .2 3 ) . Only Lo w inc o me Out lie rs Omit t e d 2 S LS Observations R^2 F-Stat F-Crit at 95% ** ( 2 . 5 1) . ^^^ ^^^ 408 0.2897 38.05 1.61 80 Table 8 CPI Policy, ELR Countries, All Years FULL SAMPLE 5+/OLS 5/OLS Policy5 4/OLS 1 Variable elrlgdp elrethnf elrssa Coefficient (t-value) ** -0.293 ( - 2 .2 9 ) ( - 2 . 18 ) ( - 1. 5 1) ( - 2 .6 6 ) ( - 1. 6 3 ) ( - 2 .8 8 ) ( - 2 .77) ( - 2 .6 5) ( - 2 .76 ) -0.339 -0.326 -0.035 -0.096 -0.574 -0.511 -0.656 -0.400 -0.468 -0.808 -0.570 ( - 0 .6 6 ) ( - 0 .6 2 ) ( - 0 .0 7) ( - 0 . 18 ) ( - 0 .9 4 ) ( - 0 .8 6 ) ( - 1. 0 7 ) ( - 0 .6 5) ( - 0 .77) ( - 1. 17 ) ( - 0 .9 0 ) -0.396 ** -0.436 ** 1.686 *** 1.710 *** 1.660 ( 4 .2 2 ) . ( 2 .6 4 ) . *** 1.810 ( 4 .4 2 ) . ( 4 .0 7) . 0.215 *** 0.228 *** 0.301 *** ( - 2 .3 9 ) 1.512 *** 1.800 *** 1.88 ( 3 .6 5) . ( 4 .2 8 ) . ( 4 . 13 ) . ( 2 .9 0 ) . ( 3 .54 ) . ** 0.217 *** 1.931 *** 2.039 *** 1.596 ** 0.312 *** 0.224 ** 0.277 ( 4 .2 3 ) . ** 0.218 ** ( 1. 9 8 ) . ( 2 .4 4 ) . ( 2 .0 2 ) . ( 2 .8 3 ) . *** 2.022 *** ( 3 .3 6 ) . ( 4 .4 4 ) . ( 4 .2 7) . *** ( - 3 .2 4 ) ( - 1. 3 1) ( - 4 . 15 ) ( - 3 .9 2 ) ( 1. 9 6 ) . ( 2 . 18 ) . ( 2 . 7 1) . -1.61 -1.361 *** -1.691 *** -1.752 *** -0.799 ( - 3 .0 5) ( - 0 .8 7) *** 0.251 *** 0.239 *** 0.190 ( - 2 .2 8 ) -0.001 *** -0.001 *** -0.001 *** -0.001 *** -0.001 *** -0.001 *** -0.001 *** -0.001 *** -0.001 *** -0.001 *** -0.001 *** ( - 7.9 8 ) elrbb ( - 3 .6 7) ( - 3 .0 5) ( - 2 .6 6 ) ( 2 .6 5) . elrm21 -1.226 ** -1.426 *** -1.310 *** -1.466 *** -1.726 *** -0.511 ( 3 .9 7) . elricrge -0.714 *** -0.708 *** -0.664 *** -0.747 *** -0.617 -0.661 *** -0.400 -0.421 ( - 2 .0 6 ) ( - 3 .59 ) elreasia LOW-INCOME COUNTRY SAMPLE 8+/2SLS 8/2SLS 8+/OLS 8/OLS 7/OLS 5+/2SLS 5/2SLS 6.654 ( - 7.3 9 ) ( - 7.3 4 ) -4.083 -28.073 23.376 -80.720 ** -38.350 ( - 0 .2 0 ) ( - 1. 2 1) - 1. 0 7 ( - 2 .4 5) ( - 6 .0 8 ) ( - 6 .9 0 ) ( - 7.76 ) ( - 7 . 7 1) ( - 8 . 19 ) ( - 7.2 3 ) ( - 8 .3 0 ) ( - 7.9 5) * ( 1. 7 5 ) . elrinfl -1.698 *** ( - 4 .52 ) elrsacw -0.01 ( - 0 .3 0 ) elraid elraidpolicy5 ( - 1. 3 9 ) -2.255 7.294 -3.567 12.639 8.823 -11.03 -0.032 ( 1. 16 ) . ( - 0 .6 6 ) ( 1. 4 5 ) . ( 1. 2 6 ) . ( - 1. 9 0 ) ( - 0 .0 0 ) ( 5.0 4 ) . ( 4 .9 8 ) . ( 4 . 6 1) . Period 4 Period 5 Period 6 Period 7 Period 8 Period 9 Period 10 Period 11 Constant 0.91 0.96 0.98 1.02 0.874 0.97 ( 1. 6 8 ) . ( 1. 7 5 ) . ( 1. 7 9 ) . ( 1. 8 8 ) . ( 1. 5 4 ) . ( 1. 7 6 ) . 1.303 -7.492 ( 0 .0 8 ) . ( - 0 . 6 1) *** 1.637 *** 1.105 ( 3 .72 ) . ( 1. 7 9 ) . * 1.397 -0.58 -0.61 -0.64 -0.49 -0.63 ( - 0 .8 0 ) ( - 0 .8 5) ( - 0 .8 9 ) ( - 0 .6 6 ) ( - 0 .8 9 ) 1.45 1.04 0.92 1.11 0.91 1.33 0.01 -0.05 0.00 0.16 0.11 ( 1. 7 2 ) . ( 1. 6 0 ) . ( 1. 8 7 ) . ( 1. 5 1) . ( 2 . 18 ) . ( 0 . 0 1) . ( - 0 .0 7) ( - 0 .0 0 ) ( 0 .2 2 ) . ( 0 . 14 ) . -0.45 -0.62 -0.56 -0.58 -0.51 -0.33 -1.10 -0.98 -1.15 -0.71 -1.03 ( - 0 .70 ) ( - 0 .9 7) ( - 0 .8 5) ( - 0 .9 2 ) ( - 0 .72 ) ( - 0 .4 8 ) ( - 1. 3 0 ) ( - 1. 0 9 ) ( - 1. 3 4 ) ( - 0 .79 ) ( - 1. 17 ) -1.92 -1.89 -1.87 -1.93 -1.76 -1.82 -1.96 -1.98 -2.10 -1.66 -2.05 ( - 3 .8 6 ) ( - 3 .74 ) ( - 3 .6 5) ( - 3 .9 0 ) ( - 3 .2 4 ) ( - 3 .59 ) ( - 2 .70 ) ( - 2 .6 3 ) ( - 2 .8 4 ) ( - 2 .2 4 ) ( - 2 .79 ) -0.73 -0.68 -0.59 -0.70 -0.42 -0.67 -1.18 -1.13 -1.32 -0.71 -1.28 ( - 1. 4 5 ) ( - 1. 3 2 ) ( - 1. 16 ) ( - 1. 3 8 ) ( - 0 .79 ) ( - 1. 3 1) ( - 1. 6 3 ) ( - 1. 5 2 ) ( - 1. 7 8 ) ( - 1. 0 0 ) . ( - 1. 7 5 ) -0.54 -0.45 -0.28 -0.54 -0.04 -0.34 -1.92 -1.88 -2.15 -1.42 -2.03 ( - 1. 0 3 ) ( - 0 .8 5) ( - 0 .4 9 ) ( - 1. 0 1) ( - 0 .0 6 ) ( - 0 .6 2 ) ( - 2 . 5 1) ( - 2 .2 7) ( - 2 .76 ) ( - 1. 6 6 ) ( - 2 . 5 1) 0.42 0.45 0.48 0.45 0.56 0.49 -0.30 -0.35 -0.41 -0.03 -0.38 ( 0 .9 6 ) . ( 1. 0 1) . - 1. 11 ( 1. 0 4 ) . ( 1. 19 ) . ( 1. 13 ) . ( - 0 .4 3 ) ( - 0 .50 ) ( - 0 .58 ) ( - 0 .0 5) ( - 0 .55) -0.93 -0.90 -0.87 -0.83 -0.94 -0.87 -1.22 -1.24 -1.25 -1.11 -1.25 ( - 2 . 13 ) ( - 2 .0 0 ) ( - 1. 9 9 ) ( - 1. 9 1) ( - 1. 9 5 ) ( - 1. 9 7 ) ( - 1. 7 8 ) ( - 1. 7 8 ) ( - 1. 8 0 ) ( - 1. 6 6 ) ( - 1. 8 1) 0.71 0.65 0.73 0.76 0.73 0.80 -0.13 -0.10 -0.12 0.11 -0.08 ( 1. 7 2 ) . ( 1. 5 2 ) . ( 1. 7 5 ) . ( 1. 8 5 ) . ( 1. 6 1) . ( 1. 9 0 ) . ( - 0 .2 0 ) ( - 0 . 16 ) ( - 0 . 18 ) ( 0 . 18 ) . ( - 0 . 12 ) 0.86 0.92 0.90 0.97 0.87 0.95 0.42 0.33 0.35 0.52 0.37 ( 1. 9 9 ) . ( 2 . 12 ) . ( 2 .0 7) . ( 2 . 3 1) . ( 1. 8 5 ) . ( 2 .2 2 ) . ( 0 .6 2 ) . ( 0 .4 7) . ( 0 .52 ) . ( 0 .77) . ( 0 .53 ) . 4.51 0.13 0.05 -1.55 3.10 1.01 0.93 1.42 -0.36 2.69 0.40 ( 3 .2 2 ) . ( 0 .0 8 ) . - 0 .0 3 ( - 0 .9 4 ) ( 1. 5 0 ) . ( 0 .4 9 ) . ( 0 . 4 1) . ( 0 .6 2 ) . ( - 0 . 15 ) ( 0 .9 3 ) . ( 0 . 16 ) . 568 0.2721 48.35 1.61 559 0.2971 58.01 1.59 532 0.295 64.27 1.61 559 0.2824 58.74 1.61 532 0.2566 69.69 1.61 ^^^ 559 0.2494 34.55 1.61 387 0.3468 34.40 1.6 362 0.3417 48.72 1.62 387 0.3307 33.90 1.62 ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ 362 0.2985 41.63 1.62 ** ( 2 .4 6 ) . ( 1. 9 0 ) . Only Lo w inc o me Out lie rs Omit t e d 2 S LS Observations R^2 F-Stat F-Crit at 95% -13.94 ** ( - 2 .0 2 ) ( 3 . 11) . ( 3 .72 ) . ( 4 . 18 ) . ( 4 . 14 ) . Period 1 Period 3 ( 0 .70 ) . ( - 0 . 5 1) 26.09 *** 1.0320 *** 0.884 *** 1.090 *** 0.748 *** 0.778 *** 1.485 *** 1.192 elrpolicy5 34.421 63.208 ** -31.280 ( 2 .3 2 ) . ( 3 .2 0 ) . ( 3 .58 ) . Period 2 3.117 ( 0 . 11) . ( - 0 .4 6 ) 28.740 *** elraid2policy 30.925 ( 1. 3 1) . ^^^ 387 0.3259 30.38 1.62 81 APPENDIX C SIGN TABLE GDP Deflator Policy Aid, Aid*Policy, Aid^2*Policy OLS Panel OLS 2SLS Panel 2SLS GMM Aid (-) n/s (+)** (-) n/s (-) n/s (-) n/s Panel 2SLS GMM (-) * (-)** Aid*Policy (-) n/s (+) n/s (-)* (+) n/s (-) n/s (+) n/s (+) n/s (-) n/s (+) n/s Aid^2*Policy (+)*** (-)** (+) n/s (+)* (+) n/s (+)*** (-) n/s (+) n/s (+) n/s (+) n/s Policy (+)*** (+)*** (+)*** (+)*** (+)*** (+)*** (+)*** (+)*** (+)*** (+)*** Aid, Aid*Policy Aid Aid*Policy (-) n/s CPI Policy OLS Panel OLS 2SLS (+) n/s (+) n/s (-)** GDP Deflator Policy OLS Panel OLS 2SLS Panel 2SLS GMM (-) n/s (+) n/s (-) n/s (+) n/s (-) n/s CPI Policy OLS Panel OLS 2SLS (-) n/s (-) n/s (-)** (+) n/s (-) n/s (+) n/s (-) n/s (+) n/s (+) n/s (+) n/s (+) n/s (-) n/s (+) n/s (+)*** (+)*** (+)*** (+)*** (+)*** (+)*** (+)*** (+)*** (+)*** Panel 2SLS GMM (-) n/s (-)*** Aid^2*Policy Policy (+)*** GDP Deflator Policy OLS Panel OLS 2SLS Panel 2SLS GMM (-) n/s (+)*** (-) n/s (-) n/s (-)* CPI Policy OLS Panel OLS 2SLS (-) n/s (+) n/s (-)** Aid^2*Policy (+) n/s (-)** (+) n/s (+) n/s (+) n/s (+) n/s (+)*** (+) n/s (+) n/s (+) n/s Policy (+)*** (+)*** (+)*** (+)*** (+)*** (+)*** (+)*** (+)*** (+)*** Aid GDP Deflator Policy OLS Panel OLS 2SLS (+) n/s (+)** (-)** Aid, Aid^2*Policy Aid Panel 2SLS GMM (-) * (-)** Aid*Policy Aid Panel 2SLS GMM (-) n/s (-)*** (+)*** CPI Policy OLS Panel OLS 2SLS (+)*** (+) n/s (-)** Panel 2SLS GMM (-) n/s (-)*** Aid*Policy Aid^2*Policy Policy Aid*Policy (+)*** (+)*** (+)*** (+)*** (+)*** (+)*** (+)*** (+)*** (+)*** (+)*** GDP Deflator Policy OLS Panel OLS 2SLS Panel 2SLS GMM CPI Policy OLS Panel OLS 2SLS Panel 2SLS GMM (+) n/s (+)** (-)* (-) n/s (-)*** (+) n/s (+) n/s (-) * (-) n/s (+)*** (+)*** (+)*** (+)*** (+)*** (+)*** (+)*** (+)*** Aid Aid*Policy (-)*** Aid^2*Policy Policy GDP Deflator Policy OLS Panel OLS 2SLS Panel 2SLS GMM Aid^2*Policy (+) n/s (+) n/s (-)* (+) n/s Policy (+)*** (+)*** (+)*** (+)*** Aid^2*Policy Aid (+)*** (+)*** CPI Policy OLS Panel OLS 2SLS Panel 2SLS GMM (-)*** (+) n/s (+) n/s (-) * (+) n/s (+)*** (+)*** (+)*** (+)*** Aid*Policy (+)*** (-)*** (+)*** 82 APPENDIX C FINAL RESULT TABLE FIXED EFFECTS PANEL ORDINARY LEAST SQUARES Variable 1 Coefficient (t-value) 2 3 4 5 6 FIXED EFFECTS PANEL 2SLS 7 Coefficient (Z-value) 8 9 10 11 12 Log Initial GDP SSA EAsia ICRGE M2 -0.001 *** ( - 4 .9 4 ) Aid 63.59 ** ( 2 .2 8 ) . Aid*Policy Aid^2*Policy -0.001 *** ( - 4 .9 2 ) *** 39.21 62.32 25.28 ( 3 .0 5) . ( 2 . 13 ) . -0.001 -2.37 3.93 ( 1. 9 9 ) . ** 1.09 *** 1.07 *** ( 4 . 4 1) . -0.001 *** ( - 5.8 7) -0.001 64.30 -18.88 ( - 0 .73 ) ( - 0 . 4 1) 379.01 ( 1. 6 9 ) . 1.01 *** 0.89 * ( - 1. 7 6 ) . 26.07 ( 5.3 4 ) . *** ( 4 . 19 ) . 0.93 *** ( 4 .9 4 ) . -0.001 ( - 2 .3 4 ) 2.22 ( 1. 4 5 ) . *** -0.001 ( - 1. 2 2 ) ( 0 .0 4 ) . -56.57 1.08 *** ( - 0 .73 ) -32.99 ** -0.002 ( - 2 . 4 1) -70.330 ( 2 .0 7) . ( 5.76 ) . * ( - 1. 6 6 ) ** ( - 0 .53 ) -56.28 *** ( - 5.0 5) -0.25 1.48 *** -0.002 -9.34 -9.16 ( - 1. 0 0 ) 1.29 *** ( 4 .2 3 ) . *** ( - 2 .6 0 ) ( - 0 . 9 1) * ( 3 .8 4 ) . *** -0.001 ( - 0 .9 2 ) 136.61 66.69 ( .9 3 ) . ( 0 . 8 1) . 0.83 *** ( 3 . 18 ) . 1.01 *** ( 4 .8 5) . 1.29 *** ( 4 .3 0 ) . 0.92 -6.02 -5.37 -5.98 -4.97 -4.25 -4.30 -3.56 -4.32 -2.22 -3.37 -4.27 -3.62 ( - 3 .9 2 ) ( - 5 . 19 ) ( - 4 .59 ) ( - 3 .70 ) ( - 4 .3 0 ) ( - 1. 6 5 ) ( - 2 .2 4 ) ( - 1. 2 6 ) ( - 2 .2 2 ) ( - 3 .0 5) ( - 3 .0 0 ) 0.2442 0.0205 0.0813 -0.3508 0.4171 2.13 0.0000 ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ ^^^ 0.2391 0.0012 0.1208 -0.2124 0.3672 2.08 0.0000 0.2442 0.0207 0.0809 -0.3521 0.4181 2.13 0.0000 0.2388 0.0016 0.1189 -0.2184 0.3700 2.08 0.0000 0.2370 0.0007 0.1225 -0.2036 0.3652 2.06 0.0000 0.2311 0.0225 0.1662 -0.0641 0.3190 2.03 0.0000 ^^^ ^^^ ^^^ .. .. .. 0.1750 0.1040 -0.6466 0.4167 1.57 0.0057 ^^^ ^^^ ^^^ 0.0811 0.1482 0.1389 -0.3293 0.3167 1.86 0.0002 ^^^ ^^^ ^^^ 0.1820 0.1266 0.1776 0.0006 0.2741 2.05 0.0000 ^^^ ^^^ ^^^ 0.1889 0.1834 0.2016 0.0295 0.2626 2.11 0.0000 ^^^ ^^^ ^^^ 0.0765 0.1475 0.1370 -0.3404 0.3201 1.87 0.0002 *** ( 3 .8 8 ) . 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