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I... 31.16: .e 4; iii. 7. .3 L 4...... .\|vrl. 1.. v I51... ’53. azvri . ‘11:...1‘ \. rv L... )t: 395.1 5.31 IvOi .- . . ;. . . l 5.3 A (:5 n. . xi? 1.»! i. THESiS Z 2 U 'L) _ LIBRARY Michigan State a University PLACE IN RETURN BOX to remove this checkout from your record. TO AVOID FINES return on or before date due. MAY BE RECALLED with earlier due date if requested. DATE DUE DATE DUE DATE DUE @Amomm 11/00 6mm.“ GOVERNMENT POLICY, EDUCATION, AND EARNINGS IN MALAYSIA By Hong Peng Ong A DISSERTATION Submitted to Michigan State University in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Department of Economics 2000 ABSTRACT GOVERNMENT POLICY, EDUCATION, AND EARNINGS IN MALAYSIA By Hong Peng Ong This dissertation attempts to study the effect of government policy and education on earnings in Malaysia. It is based on the first and second waves of the Malaysian Family Life Survey (MFLS). The first chapter concerns the effect of New Economic Policy (NEP) on earnings differentials and returns to education of Malays relative to Chinese and Indians. The estimated results show that the earnings differentials of Malays relative to Chinese and Indians declined from pre-NEP to post-NEP periods. The decline in relative earnings of Chinese and Indian compared to Malays during the post-NEP period can be attributed to the faster rate of increase in the level of education and improvements in the returns to education of Malays, especially at the post-secondary level. The other reason is the larger shift from the agricultural occupations to the more urban, higher paying occupations such as professional, clerical, service, and production related occupation of Malays relative to Chinese. The Malays experience a bigger shift from agricultural occupations into managerial, clerical, service occupations which offer relatively better earnings when compared to Indians. Using a linear spline specification on earnings, the key finding is that the returns to post secondary education of Malays relative to Chinese and Indians showed the most significant improvements from the pre- NEP to the late post NEP period. These results are compatible with the strategies employed by the NEP to reduce the racial earnings gap and to improve the returns to education of Malays through occupational restructuring and improved access to higher education for Malays. The second chapter examines the distribution Of schooling and earnings inequality in Malaysia. The decomposition of earnings inequality indicate that schooling and occupation are important factors in explaining earnings inequality. However the unobserved factor remains the biggest factor in explaining the earnings inequality. The unusually high residual variance in log earnings Of Malays during the pre-NEP period is Observed even when occupation variables are accounted for. This phenomenon is not due to the differences in the rate of forgetting between Malays and non-Malays based on tests of significance. But from the view of point estimates, there is substantial difference in the rate of forgetting between Malays and non-Malay. Even so, the explanation of the effect of NEP that substantially reduces the residual variance Of Malays during the post-NEP period is plausible. The comparison Of generalized Lorenz curves Of real earnings Of Malays and non-Malays suggest that the NEP has played a role in improving the position of Malays relative to non-Malays but the Malays still lag behind in terms Of social welfare ranking Of real earnings distribution. These results point to the need to maintain the policies intended to uplift the economic position of the disadvantaged group. It is noted that the link between parents’ schooling and children’s schooling weakened significantly for cohorts born after 1960. This suggests that the education policies and NEP have played a role in providing better educational Opportunities for offspring of parents with lower education. This augurs well for the future as the weaker intergenerational transmission of schooling tends to bring about greater equality in human capital that is associated with greater earnings equality. This dissertation is dedicated to my mother and the memory of my father. iv ACKNOWLEDGMENTS First and foremost, I wish to express my heartfelt thanks to Professor John Strauss who is my mentor and advisor. He has been a key source of inspiration at every stage Of my dissertation. I really appreciate his untiring efforts, his expert guidance and valuable comments that enabled me to complete my dissertation. I also wish to express my sincere appreciation to Professor Jeff Biddle who is my second mentor. He has been actively involved in my research and has offered many constructive comments and ideas that immensely improved this dissertation. I am indeed privileged to be under the tutelage of Professor Strauss and Professor Biddle as I have learnt a great deal from them. I also wish to acknowledge the extra efforts taken by Professor Strauss and Professor Biddle to read my numerous drafts and then jointly providing me feedback in such a short time. I am very grateful to Professor John Giles for his valuable comments and for providing me with additional relevant literature to enhance my understanding on the subject of research. He has also given me the support and encouragement to complete my dissertation. I also wish to thank Professor Jeffrey Wooldridge for his technical guidance on the test of parameter stability used in this study. I am extremely fortunate to receive a lot of help from many friends in the doctoral program. Most notably, I would like to thank Chi-Rok Han, Sang-Hyop Lee and Rehim Kilic for their significant contributions in helping me clear many difficult hurdles that exist in a doctoral program. I wish to record my profound gratitude to the Government of Malaysia for sponsoring my graduate studies here. In return, I hope to serve my country well and at the same time do justice to the excellent education that I have received at Michigan State University. Above all, I wish to thank my wife, Lai Heng and my children, Tze Shen, Gui Xian, Tze Loon and Tze Han for their sacrifices, patience, love and support which made my graduation possible. vi TABLE OF CONTENTS LIST OF TABLES .......................................................................................... ix LIST OF FIGURES ....................................................................................... xiii INTRODUCTION ........................................................................................... 1 CHAPTER 1 THE EFFECT OF NEW ECONOMIC POLICY ON RETURNS TO EDUCATION AND EARNINGS IN MALAYSIA ................................................................................................ 4 1. Introduction ................................................................................................ 4 2. Data ............................................................................................................ 7 3. Descriptive Statistics ............... 10 4. Earnings Differential and Earnings Growth ............................................. 12 4.1 Regression Analysis ......................................................................... 12 4.2 Relative Earnings between Races ..................................................... 13 4.3 Attrition of Panel Sample ................................................................. 15 4.4 Earnings Growth ............................................................................... 16 5. Returns to Education ................................................................................ 17 5.1 Overall Sample ................................................................................. 17 5.2 Labor Force Entry before or after NEP ............................................ 19 5.3 Cohort Analysis ................................................................................ 21 6. Cross-section Analyses ............................................................................. 24 7. Conclusion ................................................................................................ 26 References ...................................................................................................... 28 CHAPTER 2 DISTRIBUTION OF SCHOOLING AND EARNINGS INEQUALITY IN MALAYSIA ............................................... 53 1. Introduction .............................................................................................. 53 2. Literature Review ..................................................................................... 55 3. Theoretical Linkages between Education and Earnings Distribution ............................................................................... 6O 4. Data .......................................................................................................... 62 vii . The Evolution of Schooling Distribution ............................................... 63 5.1 Tests for Parameter Stability .......................................................... 69 . Male Earnings Inequality ....................................................................... 71 6.1 Decomposition Of Earnings Inequality ........................................... 73 6.2 Decomposition Of Earnings Inequality by Ethnic Group .................................................................................. 74 6.2.1 Measurement Error in Earnings .......................................... 77 6.2.2 Effect of Occupation on Earnings Inequality and Residual Variance ......................................................... 80 6.3 Social Welfare Ranking of Earnings Distribution .......................... 82 . Intergenerational Transmission of Schooling ......................................... 83 7.1 Regression Specification and Variables ......................................... 84 7.2 Empirical Results ........................................................................... 86 7.2.1 Parents’ Schooling ............................................................... 86 7.2.2 Birth Cohorts, Ethnicity and Government Policies ............. 87 7.2.3 School Availability .............................................................. 88 7.2.4 Place of Residence ............................................................... 89 . Conclusion .............................................................................................. 90 References .............................................................................................. 93 Appendix A .......................................................................................... 125 Appendix B .......................................................................................... 135 Appendix C Analysis Of Measurement Error in Earnings .................................... 136 viii J—M—“_' “‘5‘..- ‘— .4,--x it. LIST OF TABLES CHAPTER 1 Table 1: Descriptive Statistics by Sample and Time of Malays ................. 30 Table 2: Descriptive Statistics by Sample and Time of Chinese ................ 31 Table 3: Descriptive Statistics by Sample and Time of Indians ................. 32 Table 4: Relative Probability of being Employed in Certain Occupation Groups in 1976 and 1988 ........................................... 33 Table 5: Real Earnings Regression - Simple Specification ......................... 35 Table 6: Real Earnings Regression — with Additional Controls ................. 36 Table 7: Real Earnings Regression - Simple Specification (Common panel sample for 3 periods) ....................................... 38 Table 8: Real Earnings Regression by Sample with interaction between Race and Years of Education ........................................ 39 Table 9: Real Earnings Regression by Sample with interaction between Race and Years of Education (Respondents that join labor force before NEP) ......................... 41 Table 10: Real Earnings Regression by Sample with interaction between Race and Years of Education (Respondents that join labor force after NEP) ............................ 43 Table 11: Real Earnings Regression by Sample with interaction between Race and Years of Education (age cohort 15-34 years old) ...................................................... 45 Table 12: Real Earnings Regression by Sample with interaction between Race and Years of Education (age cohort 35-54 years old) ...................................................... 47 Table 13: Real Earnings Regression by Sample in 1976 Cross-section ....................................................... ............. 49 Table 14: Real Earnings Regression by Sample in 1988 Cross-section ............................................................... 51 CHAPTER 2 Table 1: Summary Statistics for Distribution of Schooling by Five Year Birth Cohort ......................................................... 96 Table 2: Mean Years of Schooling by Schooling Decile (All persons age 25-29 and 55-59 in 1988) ............................... 97 Table 3: Parameter Instability in Years of Completed Schooling: Breaks in Mean, Standard Deviation And Coefficient Of Variation ...................................................... 98 Table 4: Monthly Earnings by Highest Grade Completed for Males Age 20-54 in 1967-69 ............................................... 99 Table 5: Monthly Earnings by Highest Grade Completed for Males Age 20-54 in 1976 ................................................... 100 Table 6: Monthly Earnings by Highest Grade Completed for Males Age 20-54 in 1988 .................................................. 101 Table 7: Log Monthly Earnings Regressions for Males Age 20-54 in 1967-69, 1976 and 1988 ................... 102 Table 8: Simulated Variance of Log Monthly Earnings for Males Age 20-54 in 1967-69, 1976 and 1988 ................... 103 Table 9: Log Monthly Earnings Regressions for Malay Males Age 20-54 in 1967-69, 1976 and 1988 ......................... 104 Table 10: Log Monthly Earnings Regressions for non-Malay Males Age 20-54 in 1967-69, 1976 and 1988 ........................ 105 Table 11: Simulated Variance Of Log Earnings for Males Age 20-54 in 1967-69, 1976 and 1988 by Malays and non-Malays ..................................................... 106 Table 12: Log Monthly Earnings Regressions for Malay Males Age 20-54 in 1967-69, 1976 and 1988 (include occupation variables) ............................................... 107 Table 13: Table 14: Table 15: Table 16: Table 17: Table 18: Table 19: Log Monthly Earnings Regressions for non-Malay Males Age 20-54 in 1967-69, 1976 and 1988 (include occupation variables) ..................................................... 108 Simulated Variance of Log Earnings for Males Age 20-54 in 1967-69, 1976 and 1988 by Malays and non-Malays (include occupation variables) .................................................... 109 Means and Standard Deviation of Schooling Attainment Equation Variables ...................................................................... 110 Regressions on Years of Schooling Of Male Children Age 17 and above ...................................................................... 111 Regressions on Years Of Schooling Of Female Children Age 17 and above ...................................................................... 114 Regressions on Years of Schooling of Male Children Age 20 and above ...................................................................... 116 Regressions on Years Of Schooling of Female Children Age 20 and above ...................................................................... 118 APPENDIX A Table A1: Table A2: Table A3: Table A4: Table A5: Means and Standard Deviations Of Variables Used ................ 132 Regression of Simple Difference in Reported Earnings .......... 132 Regression Of Simple Difference in Reported Earnings of Malays ................................................................. 133 Regression of Simple Difference in Reported Earnings Of non-Malays .......................................................... 133 Regression of Difference in Reported Earnings Square ...................................................................... 134 xi APPENDIX B Table B1: Log Monthly Earnings Regressions for Malay Males Age 20-34 in 1967-69, 1976 and 1988 (include occupation variables) ................................................. 135 APPENDIX C Table C2: Log Monthly Earnings Regressions for Malay Males Age 35-54 in 1967-69, 1976 and 1988 (include occupation variables) ................................................ 136 xii LIST OF FIGURES CHAPTER 2 Figure 1: Mean Years of Schooling Of Males (3-year moving averages) ......................................................... 120 Figure 2: Mean Years of Schooling of Females (3-year moving averages) ......................................................... 120 Figure 3: Standard Deviation in Years Of Schooling Of Males (3-year moving averages) ........................................................ 121 Figure 4: Standard Deviation in Years of Schooling Of Females (3-year moving averages) ......................................................... 121 Figure 5: Coefficient in Variation in Years of Schooling of Males (3-year moving averages) ......................................... 122 Figure 6: Coefficient in Variation in Years Of Schooling Of Females (3-year moving averages) ...................................... 122 Figure 7: Lorenz Curves for Schooling by Age Group ............................ 123 Figure 8: Lorenz Curves for Schooling by Age and Ethnic Group ...................................................................... 123 Figure 9: Generalized Lorenz Curves for Schooling by Age and Ethnic Group .......................................................... 124 Figure 10: Generalized Lorenz Curves for Monthly Real Earnings by Ethnic Group in 1967-69 and 1988 ..................... 124 xiii INTRODUCTION Malaysia is a multi-ethic society and national unity is the over-riding concern of the Malaysian government. The government has implemented a number of policies to that strives to achieve a balance between the goals of economic development and the need to achieve as peace and stability. It is viewed that economic growth with equity is crucial for national unity which is the pre-requisite for growth and development. The major policies that are relevant to this study are the educational policy and the New Economic Policy (NEP). One of the key features of the education policies is the use of Malay language as the medium of instruction at the secondary and tertiary level of education to achieve national unity. The other key feature is the emphasis of education as means for development through the policy of education expansion. The NEP is considered as a socio-economic engineering program that is intended to redistribute wealth and to achieve greater equality in schooling and employment opportunities to reflect the racial composition of Malaysia. This dissertation attempts to analyze the effect of government intervention on schooling attainment and earnings in Malaysia. Chapter 1 examines the effect of NEP on returns to education and earnings in Malaysia. To achieve this purpose, the data from the first and second waves of the Malaysian Family Life Survey (MFLS) were used. By dividing the data into pre-NEP, early post-NEP and late post-NEP periods, the analysis of outcomes before and after the NEP can be obtained. The first research objective is to look at the earnings of Chinese and Indians relative to Malays before and after the NEP. The estimated results indicate that the earnings differential of Malays relative to Chinese and Indians have narrowed over the three periods of analyses. The second research objective was to examine the returns to education of Malays, Chinese and Indians before and after NEP. The main result is that the returns to post secondary education of Malays relative to Chinese and Indians have showed the most significant improvements from the pro-NEP to the late post-NEP period. These results are in line with the objectives of the NEP that are aimed at improving the relative position Malays who are disadvantaged group. Chapter 2 examines the distribution of schooling and earnings inequality in Malaysia. The evolution of schooling distribution have been examined by using schooling data by birth cohorts. The trend analysis indicate that the levels of schooling are increasing from the older to younger cohorts for both males and females irrespective of ethnic group, while schooling inequality has been declining from the older to younger cohorts. As for earnings inequality, a trend of falling earnings inequality can be observed for both Malays and non-Malays. A technique of decomposition of earnings inequality has been applied to examine the extent of the contribution of certain key determinants of earnings inequality. The simulation results indicate that schooling and occupation are important factors in explaining earnings inequality. Generalized Lorenz curves are drawn to provide an idea of the social welfare ranking of real monthly earnings distribution of Malays and non-Malays. The results show that the social welfare gap of Malays relative to non-Malays have narrowed after the NEP but the Malays are still lagging behind. These results suggest that there is still a need to maintain the policies intended to uplift the economic position of the disadvantaged group. The Hansen test of parameter stability on the timing of the effect of government policy on mean schooling and schooling inequality did not reveal a clear pattern of the timing of government intervention. As such, this study uses birth cohort measures of schooling to determine whether the timing of changes in schooling decisions by families in the different ethnic groups coincides with the major changes in government policy. It is noted that the link between parents’ schooling and children’s schooling weakened significantly for cohorts born after 1960. This suggests that the education policies and NEP have played a role in providing better educational opportunities for the offspring of parents with lower education. This augurs well for the future as the weaker intergenerational transmission of schooling tends to bring about greater equality in human capital which is associated with greater earnings equality. To sum up, the Malaysian government has been quite successful in using the policy tools to reduce the earnings differentials of Malays relative to Chinese and Indians, to increase the relative returns to education of Malays, to raise overall levels of education, to lower schooling inequality, and to achieve a more equitable distribution of earnings. CHAPTER 1 THE EFFECT OF NEW ECONOMIC POLICY ON RETURNS TO EDUCATION AND EARNINGS IN MALAYSIA 1. Introduction One of the most important policy questions in Malaysia is the degree of success of the New Economic Policy in correcting the economic imbalance among the major ethnic groups in Malaysia. The great deal of attention and interest in the relative earnings among the races can be traced to the economic, social, cultural and political conditions in Malaysia. Prior to the NEP, the occupational scenario in Malaysia was such that Malays were more likely to work as fishermen or farmers and Chinese were more likely to engage in business and urban labor market activities while the Indians were predominantly in the rubber plantations. As a result, the income disparities among the races were getting wider. This resulted in a lot of racial tensions and culminated in racial riots in 1969, which was known as the May 13 tragedy. Consequently, the government realized that intervention was required and launched the New Economic Policy (NEP) in 1970. The NEP was incorporated into the four five-year development plans implemented from 1971-19901 (Second to Fifth Malaysia Plan). It was an exercise in social engineering designed to reduce the socioeconomic imbalances among ethnic groups, to eradicate poverty, and to restructure the employment patterns of the country.2 It is against ' Subsequently, the National Development Policy (NDP) was introduced in 1991, which has similar goals as the NEP. 2 The objectives of the New Economic Policy were to achieve national integration and unity. The two- pronged strategy are: (i) to reduce and eventually eradicate poverty by raising income levels and increasing this background that the topic of earnings and ethnicity is of real concern in Malaysia, and that provides the motivation for this paper. In addition, this paper is intended to estimate the returns to education in Malaysia. This is motivated by the findings of Smith (1991) who used the first Malaysian Family Life Survey (MFLSl) data. He finds that education is the single most important variable in explaining income growth in Malaysia. Hence in the study of relative earnings among the various races, it is important to examine their respective returns to education. In addition, it is noted that within the framework of NEP, education is used as a means to correct the economic disparities among the various races. One strategy is to impose quotas that reflect the racial composition of the country for admission to tertiary education. It is also intended for employment restructuring by increasing the supply of qualified Malays for managerial and professional jobs, which offer relatively higher earnings. Furthermore, the development literature has provided ample evidence that education is an effective form of human capital investment. This is shown in Psacharopolos (1985) who used data from 61 countries to make cross-country comparisons on returns to education. The findings conclude that there are significantly positive returns to education and that returns are highest for primary education, general curricula, education of women and countries with the lowest per capita income. Heckman and Hotz (1986) showed that the return to schooling in Panama was 7.5% after controlling for age and age squared, training, intensity of employment and regional dummies. As for family background variables, mother’s education was statistically employment opportunities for all Malaysians, irrespective of race; and (ii) accelerate the process of significant and had a larger positive effect than father’s education. These results are consistent with Smith’s results for Malaysia. Another study that is similar to this paper is by Gallup (1997) who used the second wave of Malaysia Family Life Survey (MFLS2). He finds that male Malay earnings steadily fell behind male Chinese earnings over the period 1960 to 1988. This result is not consistent with the findings of the income cross-section data. He attributed the inconsistency to the recall bias in the reported work histories. While there is some overlap in terms of the area of study, this paper intends to examine the issue of the effect of ethnicity and education on earnings from a different analytical approach. For instance, Gallup generates annual earnings data for each individual based on the starting and ending earnings of each job by using interpolation.3 This may not be desirable because these earnings that are interpolated are unlikely to reflect the actual earnings of the individual respondents. One major difference is that this paper is based on the new sample, panel and children sample of MFLSZ and Panel Sample of MFLSl while Gallup’s paper is confined to the New sample of MFLSZ. In view of the recall error confronted by Gallup with MFLSZ data, this paper utilizes data from the last five years of survey from 1984 through 1988 only. The additional contribution of this paper is the focus on the effect of the NEP on relative earnings and returns to education among the ethnic groups. A recent paper by Schafgans (1998) used the parametric Heckman as well as semiparametric approach to examine ethnic wage differences by gender. The key results restructuring Malaysian society to correct economic imbalances so as to reduce and eventually eliminate the identification of race with economic function. 3 The individual earnings interpolation were constrained to have the same second derivative of -.5150. The estimated wage regression is as follows: are that there are increasing returns to higher education among all ethnic groups for men and women, and there is no significant evidence of ethnic discrimination against Malays among men and women. Schafgans study is based on the cross-section data set of MFLS2. The data is pooled from the new, panel and senior sample. The difference between this study and Schafgans paper is in the estimation method and data set coverage. This paper attempts to examine the non-linearity on returns to education and relative earnings among the ethnic groups before and after the NEP. To sum up, the key research questions in this paper are as follows: (a) What are the earnings of Chinese and Indians relative to Malays before and after the NEP; and (b) What are the returns to education before and after NEP among the Malays, Chinese and Indians. Section 2 of this chapter contains a description of the data set. The descriptive statistics by sample and race over time are presented in Section 3. Empirical results on the earnings differentials and earnings growth are in Section 4. Section 5 discusses results on the returns to education. Section 6 compares the cross-sectional and panel data results as well as results based on earnings derived from main job and all jobs. The conclusions of the study are in Section 7. 2. Data The data for this paper is based on the first and second wave of MFLS. The first wave was fielded in 1977 while the second was carried out during the period August wage = -384 + 49.6 age - .5150 age2 1988 through January 1989. RAND and the National Population and Family Development Board of Malaysia conducted this survey. The overall purpose of the MFLS was to enable the study of household behavior in diverse settings during a period of rapid demographic and socioeconomic change. The focus of this paper is on male earnings. This allows comparisons consistent with the studies by Smith and Gallup, and avoids problems of sample selection, which are more serious for the female sample. The panel sample from the first wave consists of 1262 private households with at least one ever-married woman less than 50 years old at the time of the initial visit. These households were located in 52 randomly selected geographic areas to be representative of Peninsula Malaysia. 1047 husbands of the female primary respondents were interviewed on the work history questionnaire. After dropping respondents with missing values in work history data the number of male respondents for MFLS] panel sample is 937. Job history data is collected retrospectively starting from age 15 or at the time of entry into labor force for those who started working after age 15. The job information is collected based on every job change or at every 3- year interval. The samples in the MFLSZ used for analysis in this study are the panel, children and new sample. The husbands of Panel respondents that were interviewed in the second wave are 717 respondents. The children sample that was interviewed for the male life history data are selected sons and sons-in-laws of Panel women and comprise 833 respondents. The new sample consists of 1513 men who are husbands of new sample women. After deleting respondents with missing data and inconsistent job history information, the pooled panel and children sample comprises 1272 respondents and the new sample consists of 1409 respondents.4 Work history data were collected retrospectively in both the first and second wave of the survey. But the critical difference is that information was collected only when there were job changes in the second wave. In the first wave, job history information was recorded at regular 3-year intervals. The other problem is the manner which earnings data were collected. In the first wave only total earnings from all jobs were recorded, but for second wave, earnings from main and secondary jobs were recorded separately. The problem arises because only starting and ending earnings of every job change were recorded in the second wave. As there are numerous cases with different starting and ending dates of main and secondary jobs, we cannot simply aggregate the earnings to obtain total earnings.5 In order to derive total earnings we need to interpolate the earnings of both main and secondary jobs. Since the approach of interpolation of earnings is subjective and inaccurate, the computation of total earnings through interpolation will aggravate the measurement error problem. As such, this study uses earnings data from all jobs for the first wave. But for the second wave, earnings are from the main job only. The sensitivity of using earnings from main job and all jobs is tested in Section 6. Another difference is that earnings in kind were not imputed for the work history data in the second wave. Therefore, for the sake of comparability, earnings for the first and second wave used in this study refer to monetary earnings (excluding earnings in kind). 4 The children sample used for analysis is 692 and panel sample is 580. The number of respondents for new sample used by Gallup is 1412 respondents. 5 For example if the main job starts in 1984 and end in 1987, the secondary job starts in 1985 until 1988. Then we need to interpolate the earnings of main job in 1985, 1986 as well as earnings of secondary job in 1986 and 1987 to derive the total earnings for 1985, 1986 and 1987. The analyses from the first wave comprise only the panel sample. It is divided into two periods, that is, the pre-NEP period (1965-69), and early post-NEP period (1971-76). The analyses from the second wave are for the late post-NEP period (1984- 88)6 based on the stratification into children and panel sample, new sample, and the total pooled children, panel and new sample. 3. Descriptive Statistics The descriptive statistics of the Malays, Chinese and Indians over different time periods are presented in Tables 1-3 respectively. It is interesting to note that the mean real earnings are increasing over the three time periods, that is the pre-NEP, early post- NEP and late post-NEP periods.7 The only exception is for the Chinese in the panel and children sample in 1984-88, which recorded slightly lower mean real earnings. This is partly due to the higher attrition rate of wealthier and more educated Chinese in the panel sample and also earnings in 1984-88 covers only main job earnings. It is also worthwhile to note that the years of education are increasing over time for all races, but, that Malays recorded the fastest increase in the amount of schooling after the NEP. The years of education of parents also recorded an upward trend over time for all races. In terms of age, the average age of the total panel sample in 1965-69 is 30.8 years and 36.56 in 1971-76. In 1984-88, the mean age of the total pooled panel, children and new sample is 34.52 years. It is noted that the panel sample has the highest mean age 6 For the second wave, only data for the last five years (1984-88) was used to avoid the problems of memory recall in retrospective data which was encountered in Gallup’s study. 7 This is despite the fact that the real earnings for 1984-88 consist of main job earnings only. 10 (48.3 years), followed by the new sample (33.7 years) and the youngest are the children sample (26.9 years). There is an interesting development regarding the rate of urbanization over time among the various races over time. It is observed that the percentage of Malays residing in urban areas increased over time from 30.6% (pre-NEP period) to 43.7% in late post- NEP period (total pooled sample). However, the percentage of Indians residing in urban areas remained stable over time at around 50%. As for the Chinese, the percentage residing in urban areas increased from 55.6% (pre-NEP period) to 81% (late-NEP period). One of the major strategies employed by the NEP policy is employment restructuring. As such, the question of whether the occupational distribution among the various races changes over time is a pertinent question. In order to answer this question, a linear probability model is used to estimate the relative probability of the various races to be engaged in certain occupations. Table 4 shows the results of the probability of being employed in certain occupation groups of Chinese and Indians relative to Malays in 1976 and 1988 and the differences between the two periods. It is observed that Malays relative to Chinese experienced a bigger shift out of the rural agricultural occupations to the more urban and better paying occupations such as professional, clerical, service and production related occupations.8 Similarly, there is larger movement out of agricultural occupations into managerial, clerical, and service occupations by Malays relative to Indians. These 8 Agricultural occupations includes farmers operating on their own land, agricultural workers and fishermen. Production related workers includes miners, food and beverage processors, tailors, carpenters, bricklayers, painters, blacksmith, plumbers, rubber and plastic product makers, chemical processors. Service workers includes cooks, waiters, housekeeping and related service workers, cleaners, hairdressers, protective service workers. 11 results provide some evidence that occupational restructuring between the races have occurred during the post-NEP period. 4. Earnings Differential and Earnings Growth 4.1 Regression Analysis Ordinary Least Squares regressions are estimated separately for the relevant samples based on the pre-NEP (1965-69), early post-NEP (1971-76) and late post-NEP (1984-88). The basic estimating model is of the form: Y,. = or + 'y Chinese + 4) Indian + A education + BX ,. + 8 i. where subscript i and t represents individual and year respectively, Y is the dependent variable which is real monthly earnings in natural logarithm terms, Chinese is the dummy variable for Chinese and Indian is a dummy variable for Indians, education is years of education based on the linear spline specification, X is a vector of control variables such as year dummies, potential experience and its square, family background characteristics, region dummies, and 8 is the error term.9 9 This regression model is applied to the samples in the first and second wave of the survey. 12 4.2 Relative Earnings between Races The simple specification of earnings regression with ethnic and year dummies, experience and its square for the pre and post NEP periods are presented in Table 5. It is estimated that on average, Chinese earn 99.0 %10 more than Malays during the pre-NEP period (1965-69) and declined to 91.4% more than Malays during the early post-NEP (1971-76). In the late post-NEP period (1984-88), the earnings differential between Chinese and Malays are further reduced. On average Chinese earn more than Malays by 57.9% (panel and children sample) and 86.6% (New sample) and 68.5% (Total pooled sample). The Indians on average earn 39.4 % more than Malays for pre-NEP period and 25.86% in the early post-NEP period. During the late post-NEP period, the average earnings of Indian are higher than Malays by 17.7% (Panel and children sample) and 7.0% (New sample) and 13.1% (Total pooled sample). The above results show that there is a clear trend of a reduction of earnings gap between Chinese and Indians versus the Malays during the post-NEP period. One of the reasons for the narrowing of earnings differentials among the races is the faster rate of increase in the levels of education and better returns to education of Malays after the NEP compared to Indians and Chinese. The other reason is the larger shift in occupations from agricultural sector to the higher paying labor market activities in the service, sales, production, transportation sectors compared to the Chinese. While the Malays have faster rate of growth in the professional and technical, administrative and managerial occupations compared to Indians in the same occupation category. Another possible reason is that the Malays enjoy a fastest rate of earnings growth '° (e .6“- 1)*100% = 99.0%. 13 followed by Chinese and Indians during the post-NEP period. The discussion on the analysis of annual earnings growth is presented in section 4.3 below. This simple specification is further augmented by adding controls such as years of education, region dummies, parent’s education, number of jobs, starting and ending job dummies. The reason for adding number of jobs as a control for 1965-69 and 1971-76 periods is because it covers data from the first wave which collected only the aggregate earnings for all jobs for respondents who have more than one job at the same time. Starting and ending earning dummies are added for the period 1984-88 period of analysis because only starting and ending earnings of jobs were collected retrospectively in the second wave.11 The regression results are shown in Table 6. It is observed that even with education, parent’s education, region of residence accounted for, Chinese still earn more than Malays by 68.5% (pre-NEP), 59.0% (early post-NEP) and 54.5% (late post-NEP — Total pooled sample). Indians on average still earn more than Malays by 14.1% (pre- NEP), 8.8% (early post-NEP) and 17.2% (late post-NEP — total pooled sample). For purposes of comparison of relative earnings among the races over time, the simple specification12 is preferred as it allows the coefficients of the ethnic dummies to reflect changes in the level of education, individual and family background characteristics and region across groups and time. This is because the NEP is aimed at correcting ethnic economic imbalances by raising the level of education, employment restructuring to more urban labor market activities which involves the shift from rural to ” There are concerns that there may be problems of selectivity as those who change jobs may have systematic differences with those who do not change jobs. Using starting and ending jobs is a crude way to control for the type of data collected in the second wave. It is noted that introducing starting and ending job dummies do not affect the estimated earnings differential or the returns to education. 14 urban areas. Therefore, it would not be appropriate to have education and regional controls when comparing the relative earnings among races. Although this analysis is not a direct test of the causal effect of NEP on the ethnic relative earnings, it does provide some feedback on the outcomes of the relative earnings before and after N EP. The results from the simple specification in Table 5 do indicate that there is some degree of success in the implementation of the NEP as the earnings differential between races have narrowed considerably during the post-NEP period. 4.3 Attrition of Panel Sample There are concerns that the narrowing of differentials between the races in the panel and children sample in 1984-88 may be due to attrition of wealthier Chinese. In view of this another set of earnings regression analysis is computed based on the common panel sample for the pre-NEP and post-NEP periods. The earnings regression results are shown in Table 7. A similar trend can be observed whereby the earnings differentials between the Malays and Chinese narrowed from 86.8% (pre-NEP) to 84.4% (early post-NEP) and 78.4% (late post-NEP). As for the earnings gap between the Malays and Indians it also narrowed from 63.7% (pre-NEP) to 39.8% (early post-NEP) and 38.5% (late post-NEP). 12 Adding number of jobs and starting and ending job dummies do not change the relative earnings differential. The results also do not change when year dummies are replaced with a time trend variable in the simple specification. 15 4.4 Earnings Growth Since the data used are longitudinal, the earnings growth may also be attributed to the changing sample compositions. As such, we cannot separate out the effects of earnings growth due to productivity factors or due to changing sample composition. This study attempts to get a cleaner estimate of earnings growth in the post-NEP period by comparing the current earnings from all jobs for the first wave (1976) and the second wave (1988) of the same individual.13 The dependent variable is the log differences in real earnings”, which represents an average annual percentage growth in real earnings. A simple regression is estimated with log differences in real earnings on Chinese and Indian dummy variables. This has the effect of controlling for individual fixed effects because the earnings growth is computed for each individual. The estimated results are as follows: Annual real earnings growth = .268 - .006 Chinese - .013 Indian (.004) (.005) (.008) n = 499 R-squared = .006 p-values are in parentheses. Although the results are not significant at the 10% level, the estimated coefficients above show that Chinese and Indians respectively have a slower annual earnings growth of - 0.6% and 1.3% than Malays over the period 1976 through 1988.15 However, the slower '3 This is possible by using the panel sample of the first and second wave of the survey. There are 580 cases of panel sample that were available in 1988. Out of these, there were 44 cases were unemployed in 1976 and thus no earnings were reported, 7 cases for other races, and 30 cases did not have adequate information were dropped from the sample. The final sample size is 499. " Annual real earnings growth = (natural log earnings in 1988 - natural log earnings in l976)/12 '5 It is observed that based on earnings growth, the earnings gap (Table 9) between Indians and Malays should have narrowed by a greater margin than the earnings gap between Chinese and Malays during the early to late post-NEP periods. This discrepancy is because the earnings growth is based on current 16 earnings growth of Chinese and Indians relative to Malays presents part of the explanation for the narrowing of earnings differentials among the races. 5. Returns to Education 5.1 Overall Sample The returns to education with experience, its square, ethnic dummies, year dummies, parents education, region dummies, number of jobs, and starting and ending job dummies as controls are indicated in Table 6. A linear spline specification is used to show the non-linearity in returns to education. It is interesting to note that the returns to education are highly significant and convex for the pre-NEP and post-NEP periods. The other striking trend is that the returns to primary, secondary and post-secondary education are declining over time. In fact, there is a compression of returns to education from the pre-NEP to post-NEP periods. This could be due to the rapid increase in supply relative to the demand of educated workers with post-secondary education during the post-NEP period. The next pertinent issue is the relative returns to education among the main ethnic groups in Malaysia. With monthly real earnings as the dependent variable, a linear spline specification of year of education interacted with race is used to estimate the returns to education. The estimated results are reported in Table 816. It is observed that the coefficient of returns to primary education for Chinese relative to the Malays is negative but insignificant at the ‘earnings while the earnings differential is based on retrospective earnings for 1984-87 period which captures earnings of those who change jobs only. It is observed that those who change jobs in the Indian sample have relatively higher earnings which accounts for the smaller rate of decrease in earnings gap between Indians and Malays. 17 10% level during the pre-NEP period. It is also insignificant during the early post-NEP period. In the late post-NEP period, it is negative and insignificant for the pooled panel and children sample, but, it is significantly lower than Malays by 7.2% for the new sample. The estimated returns to education to primary education for Indians are significantly lower than Malays for all time periods. However, there is a trend towards a smaller difference in returns to primary education of Indians relative to Malays over time. At the secondary level of education, the Chinese have significantly lower returns to secondary education compared to Malays for all time periods. The estimated returns to secondary education of Chinese relative to Malays narrowed slightly by about 2% during the early post-NEP and by about 4-7% depending on sample for the late post-NEP period. The return to secondary education of Indians relative to Malays is negative but insignificant for the pre-NEP, early post-NEP and late post-NEP (new sample). However, it is significantly lower than Malays for the total pooled sample during the late post-NEP period. The estimated returns to post-secondary education produce the most interesting result. During the pre-NEP period, both Chinese and Indians respectively have significantly higher returns to post-secondary education of 20.1% and 17.8% compared to the Malays. Although the Chinese and Indians still have higher returns to post- secondary education during the early and late post-NEP, but, the magnitude of the difference in the relative returns to education were substantially reduced. In fact, during the early post-NEP period, the Chinese only have significantly higher returns of 7.3% and Indians 3.1% significantly higher than Malays. In the late post-NEP period, the ‘6 Replacing year dummies with a time trend variable produce similar estimates. 18 returns to post-secondary education of Chinese and Indians are not significantly different from Malays based on the total sample. These findings show that Malays gained substantial ground over the Chinese and Indians in terms of returns to post-secondary education and may be due to the NEP’s quotas for Malays in positions requiring post- secondary education.17 5.2 Labor Force Entry Before or After NEP The next question of interest is to examine the difference in the returns to education among the races for those who first join the labor force before or after the NEP. The issue of interest here is whether Malays have relatively better returns to education than Chinese and Indians after the implementation of NEP. The second issue is whether Malays who join the labor force would be able to benefit more than Malays who enter the labor force after the NEP. The reason is that Malays who are already working before NEP would have relatively less labor mobility to benefit from the preferential employment policies. Table 9 provides the results of the regression estimates for those respondents who initially join the labor force before the NEP.18 Overall, the returns to primary education between Chinese and Malays are not significantly different during the pre-NEP, early post-NEP and late post-NEP (pooled sample). As for the returns to secondary education, Malays have significantly higher returns than Chinese but the magnitude declined over time. Regarding the returns to post-secondary education, Chinese have relatively higher '7 Racial quotas are effectively enforced in the public sector and govemment-owned companies. But for the private sector, fiscal incentives are utilized to encourage private companies to comply with the employment quotas by race. 19 return (20.1%) to post-secondary education than Malays during pre-NEP period. But the mangitude of the returns to post-secondary education were reduced to 14.4% during the early post-NEP period. During the late post-NEP period, the returns to post-secondary education of Chinese were not significantly different from the Malays. Comparing the relative returns to education of Malays and Indians at the primary schooling level, it was found the Malays have significantly higher return than Indians during the pre-NEP and early post-NEP period. But it was not significantly different during the late post-NEP period. At the secondary education level, the returns to education were not significantly different for the three time periods. However, the return to post-secondary education for Indians were relatively higher (17.8%) than Malays with post-secondary education during the pre-NEP period. During the early post-NEP period, the return to post-secondary education was still higher than Malays with similar education level but it declined to 10.9%. But for the late post-NEP period, there is no significant difference in the returns to post-secondary education between the Malays and Indians. To sum up, it appears among those who joined the labor force before NEP, the relative returns to post-secondary education of Malays showed the biggest improvement after the implementation of NEP. Table 10 shows the regression results during the late post-NEP period for those who start work after the NEP. Based on the total pooled sample, the returns to primary and secondary education of Chinese and Indians are significantly lower than Malays who join the labor force after NEP during the late post-NEP period. The returns to secondary education of Chinese and Indians who join the labor force after NEP are also ‘8 It is noted that there is no change in the estimates in the pre-NEP period in Table 9 and 10 because all 20 significantly lower than Malays who join the labor force after NEP. While the returns to post-secondary education of Chinese and Indians are significantly higher than Malays who join the labor force after NEP (panel and children sample). But there is no significant difference for the new sample and total pooled sample. These results imply that during the late post-NEP period, Malays that join the labor force after NEP have the advantage in returns to primary and secondary education. In terms of post-secondary education, for the total pooled sample Malays have lower returns than Chinese and Indians but it is not significant. 5.3 Cohort Analysis The next question is how does the NEP affect the young and the old? In order to answer this question the sample is stratified into the younger age group who are between 15-34 years old and the older group who are 35-54 years old.19 The implementation of the NEP created a significant increase in the demand for Malays workers with higher education. At the same time, the NEP also increased the supply of Malay workers with higher education through the racial quota system for admissions to institutions of higher learning. But it is expected that the supply of college educated Malays would lag behind the demand for Malay college workers after the NEP policy was implemented. This is because college education takes a long time to complete and the intake of students in universities are limited. In addition, the expansion of Universities require a lot of resources and time. The greater increase in demand for Malays with post-secondary respondents that have earnings data in 1965-69 would join the labor force before NEP. '9 The cut-off age of 54 years of completed age is because the official mandatory retirement age in Malaysia is 55 years old. 21 education relative to its supply is expected to result in a higher premium attached to Malay workers with post-secondary education after the NEP. Malays in the older cohorts are expected to complete their education before the NEP and have less labor market mobility. Malays in the younger cohorts are expected to make schooling decisions that would take advantage of the favorable policies contained in the NEP. As a consequence the better educated younger cohorts are expected to be in a better position to gain employment in higher paying jobs. Therefore, it is expected that the NEP would benefit the younger Malays more than the older Malays. Overall, the return to post-secondary education of Malays relative to non-Malays is expected to improve after the NEP. The estimated results of the younger and older age cohorts are in Table 11 and 12 respectively. Among the younger age cohort, it is observed that there is no significant difference in the returns to primary education of Chinese relative to the Malays during the pre-NEP and early post-NEP period. However, the return to primary education of Chinese is significantly lower than Malays during the late-post NEP period. As for Indians, the results show that the return to primary education of Indians is lower than Malays but the coefficients are insignificant for all time periods. As for secondary education, the return to education of Chinese is significantly lower than Malays during the pre-NEP (14.5%) and early post-NEP period (13.1%). However the differential return to secondary education is reduced to (4.9%) with the Malays still enjoying significantly higher returns. A similar picture is obtained for the differential in returns to secondary education for Indians and Malays. Although the return to secondary education of Indians is significantly lower than Malays over all time periods, there is a declining trend from (8.3%) during pre-NEP to 7.1% (early post-NEP) and 3.8% (late post-NEP, total pooled 22 sample). As for the return to post-secondary education, the Chinese have a substantially higher (24.1%) return than Malays during the pre-NEP period. But the return to post- secondary education narrowed considerably during the early post-NEP period as the Chinese only have significantly higher (11.0%) return than Malays during the early post- NEP period. During the late post-NEP period, the relative return to post-secondary education is further reduced for the panel and children sample (8.4% higher for Chinese), and insignificantly different for the new sample. Overall, for total pooled sample the Chinese have a significantly higher return to post-secondary education of 4.4% only during the late post-NEP period. The younger cohort Indians also has a substantially higher (22.3%) return to post-secondary education than Malays during the pre-NEP period. This differential is reduced to 4.7% (not significant) during the early NEP and 5.3% during the late post-NEP period (total pooled sample). Indians have a significantly higher return to post-secondary education than Malays by 11.6% during the post-NEP period (panel and children sample). The above results show that the returns to post- secondary education of Malays (relative to Chinese and Indians) in the younger age cohort improved substantially during post-NEP period. Next, the discussion is focussed on the results of the older age cohort in Table 12. It is observed that there is significantly lower (9.0%) return to primary education of Chinese compared to the Malays during the pre-NEP period. However, there is no significant difference in the return to primary education between the Chinese and Malays in the early post-NEP period, late post-NEP period. The results show that the return to primary education of Indians is significantly lower (8.6%) than Malays during the pre- NEP period. It remained significantly lower by 7.8% in the early post-NEP period and 23 5.0% during the late post-NEP period (pooled panel, children and new sample). In terms of secondary education, the return to education of Chinese is higher than Malays but insignificant during the pre-NEP period. But in the early post-NEP period the return to secondary education relative to Malays is lower but insignificant. However, the return is significantly lower (4.1%) during the late post-NEP period (total pooled sample). The return to secondary education of Indians relative to Malays also declined from the pre- NEP to early post-NEP and late post-NEP periods. Among the older cohorts, the Malays experienced a greater improvement in the return to post-secondary education than the Chinese and Indians during the early and late post-NEP periods. However, among the Malays there is no significant difference in the returns to education of younger and older cohort Malays. 6. Cross-section Analyses Cross-section results in 1976 are shown in Table 13. The 1976 cross-section results indicate that the retums to education at the primary, secondary and post-secondary level are qualitatively similar to the 1971-76 period. The cross-section results based on current earnings from main job and all jobs in 1988 are shown in Table 14. Besides providing the opportunity to compare with 1984-88 results, it can also address the concern over the difference in the use of the definition of earnings between main job earnings (second wave) and all job earnings (first wave). The main finding is that the results from earnings of main job and all jobs are qualitatively similar for the panel, panel and children, new, as well as total pooled sample. However, the results based on main job earnings have smaller standard errors and higher R-squared for all the relevant samples. 24 This result is important because it confirms that the difference in the definition of earnings in the first wave and second wave is not a serious problem. Next the comparison of return to education for the panel and children sample for 1984-88 (Table 8) is compared with the 1988 cross-section results (Table 14). The return to primary education interacted with race for panel and children are both insignificant but have different signs. On the other hand, the returns to secondary and post-secondary education have qualitatively similar results. For the new sample, the comparison of 1988 cross-section and 1984-88 results in terms of returns to primary, secondary and post-secondary education interacted with race yield similar results qualitatively. As for the total pooled sample, the return to primary education interacted with Indians is qualitatively different between the 1988 cross- section and 1984-88 results. The return to secondary education interacted with race are qualitatively similar. The returns to post-secondary education interacted with race are both insignificant but have the same signs based on cross-section 1988 and 1984-88 period. With a few exceptions, it is observed that the overall cross-section results in 1976 and 1988 are qualitatively similar to the results of 1971-76 and 1984-88. 25 7. Conclusion The NEP does seem to have played a role in narrowing the earnings differential of the Malays relative to Indians and Chinese. From the pre-NEP to early post-NEP period, the earnings gap of Chinese and Malays was reduced by about 7.6%. From the early post- NEP period to late post-NEP period (total pooled sample) the earnings gap further decreased by 22.9%. The earnings gap of Indians and Malays also reduced by about 13.5% from the pre-NEP to the early post-NEP period. This gap further declined by 12.8% from the early post-NEP to late post-NEP period (total pooled sample). The decline in relative earnings can be attributed to the faster rate of increase in the level of education and improvements in the returns to education (particularly post-secondary education) of Malays. Another related reason is the larger shift from the agricultural occupations to the more urban, higher paying occupations of Malays relative to Chinese and Indians. However, despite the substantial convergence in relative earnings differential, much work remains to done. This is evident as the Chinese and Indians still earn more than Malays by 68.5% and 13.1% respectively during the late post-NEP period (total pooled sample). The estimated results show that there is increasing returns to education during the pre-NEP and post-NEP periods. However, there is a convergence in returns to education over time that may be attributed to the rapid increase in supply of more educated workers in the labor market during the post-NEP period. When the linear spline education variable is interacted with race, the most striking result concerns the return to post- secondary education. Prior to the NEP, the Chinese and Indians had considerably higher 26 returns to post-secondary education than the Malays. This advantage of Chinese and Indians was substantially reduced during the early post-NEP period. By the late post- NEP period, this edge enjoyed by Chinese and Indians no longer existed. This result may be attributed to the NEP, which is targeted to increase the demand for more skilled and educated Malays in the labor market. The analyses of the sample who join the labor force before NEP showed that the returns to post-secondary education of Malays relative to Chinese and Indians have improved during the early and late post-NEP periods. The analyses by cohorts reveal that the NEP that both the younger and older Malays experience improvements in returns to education relative to Chinese and Indians during the post-NEP period. However, there is no significant difference in the returns of post-secondary education between the younger Malays and older Malays. The use of cross-sectional and longitudinal data yields qualitatively similar results, which means that the results obtained are quite robust. It also indicates that the difference in the definition in earnings of main jobs and all jobs is not a serious one. In conclusion, the NEP has made some progress in narrowing the relative earnings differential as well as improving the returns to post-secondary education of Malays. 27 References Blackburn, ML. and Neumark, D. (1995). Are OLS Estimates of the Returns to Schooling Biased Downward? Another Look. Review of Economics and Statistics, 72(2): 217-230. DaVanzo, J, et. al. (1993). The Second Malaysian Family Life Survey - Survey Instruments, RAND, Santa Monica, CA. Gallup, IL. (1997). Ethnicity and Earnings in Malaysia, Development Discussion Paper, Harvard Institute for International Development, MA. Government of Malaysia (1986). Fifth Malaysia Plan - 1986 - 1990, National Printing Department, K.L. (1988). Economic Report 1988/89, National Printing Department, K.L. Griliches, Z. (1977). Estimating the Returns to Schooling: Some Econometric Problems, Econometrica, 45(1):1-22. Haaga, J, et. al. (1993). The Second Malaysian Family Life Survey - Overview and Technical Report, RAND, Santa Monica, CA. Mincer, J. (1974). Schooling, Experience, and Earnings, Columbia University Press, New York. Peterson, C, et a1. (1993). The Second Malaysian Family Life Survey - User’s Guide, RAND, Santa Monica, CA. Rosenzweig, M. (1995). Why are there returns to schooling?, American Economic Review, Papers and Proceedings, 85.2: 153-158. Sahn, D. and H. Alderman (1988). The effects of human capital on wages and the determinants of labor supply in a developing country, Journal of Development Economics, 29: 157-183. Schafgans, M.M.A. (1998). Ethnic wage differences in Malaysia: Parametric and semiparametric estimation of the Chinese-Malay wage gap, Journal of Applied Econometrics, 13:481-504. Schultz, TR, (1988). Education investments and returns, in H. Chenery and TN. Srinivasan (eds.), Handbook of Development Economics, Vol. 1, Amsterdam: North Holland Press. 28 Schultz, T.W. (1975). The value of the ability to deal with disequilibria, Journal of Economic Literature, 13:827-846. Smith, J., (1991). Labor markets and economic development in Malaysia, in T.P. Schultz (ed.), Research in Population Economics, Greenwich, CT: JAI Press. Strauss, J. and D. Thomas, (1995). Human resources: empirical modeling of household and family decisions, in TN. Srinivasan and J. Behrman (eds.), Handbook of Development Economics 3A, Amsterdam: North Holland Press. 29 Table 1. Descriptive Statistics by Sample and Time of Malays Sample Panel Panel Panel & New Total1 Children Pooled Year 65-69 71-76 84-88 84-88 84-88 Variables Log monthly 5.35 5.57 5.77 6.11 5.93 Real earnings (.952) (.856) (.689) (.660) (.696) age 31.25 36.81 34.30 33.42 33.87 (9.85) (10.6) (12.7) (6.99) (10.3) experience 20.58 25.91 20.42 18.90 19.68 (11.5) (12.3) (15.4) (8.67) (12.6) years of 4.67 4.90 7.88 8.52 8.19 education (3.19) (3.33) (4.07) (3.52) (3.82) mother’s .634 .678 1.52 1.62 1.57 education (1.35) (1.44) (2.22) (2.07) (2.15) father’s 1.98 2.08 2.57 2.77 2.67 education (2.10) (2.22) (2.33) (2.38) (2.36) small town .190 .186 .221 .363 .290 large town .053 .054 .070 .137 .103 city .063 .069 .046 .042 .044 no. of obs 756 1232 1441 1356 2797 Note: Standard deviations for continuous variables are in parentheses (1) Total pooled sample includes panel, children and new sample in MFLS2 30 Table 2. Descriptive Statistics by Sample and Time of Chinese Sample Panel Panel Panel & New Total1 Children Pooled Year 65-69 71-76 84-88 84-88 84-88 Variables Log monthly 6.06 6.24 6.21 6.72 6.45 Real earnings (.826) (.734) (.714) (.641) (.726) age 30.29 36.50 36.12 35.88 36.01 (8.96) (9.47) (14.2) (6.70) (11.3) experience 18.40 24.38 22.37 21.72 22.06 (10.5) (11.2) (16.5) (8.05) (13.2) years of 5.90 6.12 7.75 8.17 7.95 education (3.61) (3.67) (3.84) (3.48) (3.68) mother’s .847 .913 1.70 1.72 1.71 education (1.80) (1.94) (2.46) (2.43) (2.44) father’s 2.42 2.49 3.17 3.22 3.20 education (2.57) (2.61) (2.66) (2.84) (2.75) small town .306 .301 .561 .461 .514 large town .184 .183 .126 .253 .186 city .066 .067 .089 .132 .1 10 no. of Obs. 708 1091 613 553 1166 Note: Standard deviations for continuous variables are in parentheses (1) Total pooled sample includes panel, children and new sample in MFLSZ 31 Table 3. Descriptive Statistics by Sample and Time of Indians Sample Panel Panel Panel & New Total1 Children Pooled Year 65-69 71-76 84-88 84-88 84-88 Variables Log monthly 5.70 5.82 5.96 6.17 6.09 Real earnings (.754) (.696) (.688) (.550) (.619) age 31.03 35.84 32.81 32.36 32.54 (9.08) (10.0) (12.6) (7.31) (9.82) experience 19.26 24.05 18.65 18.57 18.61 (10.7) (11.3) (13.4) (8.02) (10.6) years of 5.77 5.80 8.16 7.79 7.94 education (3.82) (3.69) (3.58) (3.36) (3.46) mother’s 1.28 1.13 2.39 1.92 2.12 education (2.23) (2.00) (2.57) (2.24) (2.39) father’s 2.92 2.72 2.78 2.72 2.74 education (2.75) (2.51) (2.51) (2.63) (2.58) small town .239 .250 .358 .269 .306 large town .144 .138 .084 .160 .129 city .112 .112 .068 .029 .046 no. of obs. 222 340 380 543 923 Note: Standard deviations for continuous variables are in parentheses (1) Total pooled sample includes panel, children and new sample in MFLS2 32 Table 4. Relative Probability to be Employed in Certain Occupations in 1976 and 1988 Occupation Panel Sample New Sample Difference 1976 1988 1988-1976 Agriculture Chinese - 25.96%** - 14.77%** 11.19% Indian - 6.98% - 4.04% 2.94% Professional Chinese 1.01% - 2.13% -3.14% Indian - 2.66% 0.19% 2.85% Manager Chinese 1.23% 6.76%** 5.53% Indian - 0.04% - 0.20% -0.16% Clerical Chinese 3.85%* - 4.28%** -8.13% Indian 5.03%* - 2.47% -7.50% Sales Chinese 16.78%** 20.45%** 3.67% Indian - 4.83% 1.03% 5.86% 33 Table 4 (cont’d). Service Chinese - 1.43% Indian 0.49% Production Chinese 12.31% * Indian - 1.94% Transport Chinese - 0.52%* Indian 2.44% Laborer Chinese - l.43%** Indian 049%“ -21.52%** -12.90%** 7.36%** 2.15% 8.89%** 14.69%** - 0.76% 1.56% -20.09% -13.39% -4.95% 4.09% 9.41% 17.13% 0.67% 1.07% Note: * = significant at 5% level ** = significant at 1% level Relative probabilities are based on linear probability model computed separately for each occupation category. Reference group = Malays. 34 Table 5. Real Earnings Regression - Simple Specification Sample Panel Panel Panel & New Total1 Children Pooled Year 65-69 71-76 84-88 84-88 84-88 Chinese .688 .649 .457 .624 .522 (.046) (.032) (.032) (.032) (.024) Indian .332 .230 .163 .068 .123 (.061) (.045) (.038) (.029) (.023) experience .041 -.004 .036 .022 .038 (.007) (.006) (.003) (.006) (.003) experience2 -.001 -0002 -.0007 -.0008 -.0008 (.0001) (.0001) (.00006) (.0001) (.00005) 66/72/85 .128 .131 .118 -004 .049 (.068) (.061) (.057) (.052) (.039) 67/73/86 .072 .1 16 .010 .060 .021 (.072) (.059) (.058) (.053) (.040) 68/74/87 .088 -.017 .024 .091 .019 (.068) (.058) (.059) (.063) (.044) 69/75/88 .231 .046 .205 .313 .237 (.068) (.061) (.049) (.040) (.032) 76 .120 (.049) constant 4.96 5.72 5.37 5.82 5.50 (.089) (.077) (.050) (.066) (.037) R2 .1557 .1728 .1448 .1951 .1758 n 1686 2663 2434 2452 4886 Note: Robust standard errors are in parentheses. Year dummies are based on the relevant time period. (1) Total pooled sample includes panel, children and new sample in MFLSZ 35 Table 6. Real Earnings Regression - with Additional Controls Sample Panel Panel Panel & New Totarl Children Pooled Year 65-69 71-76 84-88 84-88 84-88 Chinese .522 .464 .362 .527 .435 (.042) (.029) (.030) (.029) (.021) Indian .131 .084 .137 .147 .159 (.046) (.033) (.030) (.025) (.019) experience .089 .050 .060 .059 .066 (.007) (.006) (.003) (.006) (.003) experience2 -002 -.0008 -.0009 -.001 1 -001 (.0002) (.0001) (.00006) (.0001) (.00005) 66/72/85 .127 .113 .077 -.028 .015 (.060) (.053) (.051) (.047) (.035) 67/73/86 .061 .070 .0008 .002 -.017 (.062) (.051) (.051) (.046) (.035) 68/74/87 .065 -.084 -.O44 -.019 -.061 (.060) (.050) (.053) (.055) (.038) 69/75/88 172 -.034 -.067 -.020 -.079 (.060) (.050) (.059) (.058) (.042) 76 -.008 (.042) Education .067 .055 .03 l .03 1 .028 (0-6 years) (.012) (.009) (.009) (.010) (.007) Education .136 .159 .112 .091 .109 (7- 12 years) (.014) (.010) (.008) (.007) (.005) Education .290 .200 .172 .187 .177 (13 + years) (.030) (.016) (.015) (.011) (.009) Mother’s .011 .019 .011 .014 .012 Education (.010) (.007) (.006) (.005) (.004) Father’s .034 .020 -.008 .004 -.002 Education (.009) (.006) (.006) (.005) (.004) 36 Small town Large town City Number of jobs Start earnings End earnings constant .251 (044) .189 (.056) .314 (.056) .072 (.064) 3.72 (.129) .3574 1686 .207 (.030) .181 (.039) .350 (.042) .022 (.036) 4.39 (.092) .4140 2663 Table 6 (cont’d). .221 (.027) .167 (.045) .168 (.048) -.252 (.048) -.125 (.051) 4.71 (.089) .4060 2434 .1 10 (.024) .187 (.033) .265 (.053) -.226 (.050) -.131 (.054) 4.99 (.098) .4425 2452 .174 (.018) .219 (.027) .226 (.037) -.252 (.036) -.134 (.038) 4.78 (.065) .4342 4886 Note: Robust standard errors are in parentheses. Year dummies are based on the relevant time period. (1) Total pooled sample includes panel, children and new sample in MFLS2 37 Table 7. Real Earnings Regression - Simple Specification (Common panel sample for 3 periods) Sample Panel Panel Panel Year 65-69 71-76 84-88 Chinese .625 .612 .579 (.061) (.043) (.055) Indian .493 .335 .326 (.085) (.062) (.089) experience .026 -.01 1 -.053 (.011) (.008) (.016) experience2 -.0006 .000005 .0003 (.0003) (.0001) (.0002) 66/72/85 .123 .120 .183 (.096) (.081) (. 128) 67/73/86 .077 .121 .288 (.092) (.075) (.146) 68/74/87 .072 -.0005 .21 1 (.088) (.070) (. 159) 69f75/88 .204 .005 .480 (.093) (.081) (.112) 76 .084 (.060) constant 5.07 5.78 6.81 (.126) (.106) (.321) R2 .1260 .1538 .2543 n 861 1366 668 Note: Robust standard errors are in parentheses. Year dummies are based on the relevant time period. There are more observations for respondents who change jobs more frequently. This sample excludes those who joined the labor force after NEP (1970). 38 Table 8. Real Earnings Regression by Sample with interaction between Race and Years of Education Sample Panel Panel Panel & New Total Children Pooled Year 65-69 71-76 84-88 84-88 84-88 Education .086 .060 .033 .058 .039 (0 - 6 years) (.018) (.012) (.011) (.016) (.009) Chinese*(edu -.O31 .009 -.009 -.072 -.027 0 - 6 years) (.022) (.015) (.020) (.029) (.017) Indians*(edu -.058 -.052 -.O27 -.042 -.028 0 - 6 years) (.024) (.017) (.022) (.021) (.014) Education .202 .204 . 129 . 101 . 124 (6 — 12 years) (.022) (.015) (.010) (.008) (.006) Chinese*(edu -.104 -.086 -.059 -.027 -.046 6 - 12 years) (.027) (.019) (.017) (.014) (.011) Indians*(edu -.022 -.003 -.029 -.013 -.023 6 — 12 years) (.032) (.023) (.016) (.013) (.010) Education .125 .156 .156 .199 .178 (13 + years) (.046) (.022) (.018) (.014) (.012) Chinese*(edu .201 .073 .054 -.034 .004 13 + years) (.067) (.035) (.037) (.027) (.023) Indians*(edu . 178 .031 .050 -.028 -.0005 13 + years) (.062) (.034) (.042) (.024) (.026) Chinese .731 .497 .525 1.01 .688 (.097) (.066) (.099) (.161) (.088) Indian .360 .297 .339 .416 .366 (.107) (.073) (.109) (.112) (.073) experience .089 .05 1 .061 .060 .067 (.007) (.006) (.003) (.006) (.003) experience2 -.002 -.0008 -0009 -.001 1 -.001 (.0002) (.0001) (.00005) (.0001) (.00005) 66f72/85 .111 .111 .081 -.028 .017 (.059) (.053) (.051) (.047) (.035) 39 67/73/86 68/74/87 69/75/88 76 Mother’s Education Father’s Education Small town Large town City Number of jobs Start earnings End earnings constant R2 No of. Obs. .043 (.062) .059 (.059) 156 (.059) .011 (.010) .034 (.009) .237 (.045) .185 (.055) .289 (.056) .078 (.065) 3.62 (.143) .3680 1686 Table 8 (cont’d). .059 (.050) -.088 (.050) -.043 (.050) -.016 (.042) .020 (.007) .018 (006) .189 (.031) .188 (.039) .333 (.043) .031 (.037) 4.33 (.103) .4208 2663 -.003 (.051) -.041 (.053) -.074 (.059) .011 (006) -.008 (.006) .211 (.027) .163 (.045) .186 (.048) -.258 (.048) -.132 (.051) 4.66 (.094) .4116 2434 .006 (.046) -.029 (.055) -.029 (.058) .013 (.005) .005 (.005) .102 (.024) .179 (.033) .273 (.053) -.227 (.050) -. 130 (.054) 4.79 (.118) .4496 2452 -.016 (.035) -.063 (.038) -.O86 (.042) .012 (004) -.002 (004) .163 (.018) .215 (.027) .242 (.037) -.253 (.036) -.l36 (.038) 4.67 (.073) .4396 4886 Note: Robust standard errors are in parentheses. Year dummies are based on the relevant time period. Total pooled sample includes panel, children and new sample in MFLSZ. Table 9. Real Earnings Regression by Sample with interaction between Race and Years of Education (Respondents that join labor force before NEP) Sample Panel Panel Panel & New Total Children Pooled Year 65-69 71-76 84-88 84-88 84-88 Education .086 .057 .03 1 .063 .038 (O — 6 years) (.018) (.013) (.012) (.020) (.010) Chinese*(edu -.031 .006 .01 1 -.069 -.009 0 - 6 years) (.022) (.015) (.023) (.033) (.018) Indians*(edu -.058 -.050 -.014 -.054 -.034 0 — 6 years) (.024) (.018) (.034) (.032) (.023) Education .202 .212 .139 .1 19 .125 (6 — 12 years) (.022) (.016) (.018) (.015) (.011) Chinese*(edu -.103 -.094 -.060 -.O37 -.039 6 — 12 years) (.027) (.020) (.031) (.022) (.018) Indians*(edu -.022 -.023 .032 .025 .026 6 — 12 years) (.032) (.024) (.030) (.023) (.018) Education .125 .122 .183 .146 . 159 (13 + years) (.046) (.027) (.046) (.042) (.031) Chinese*(edu .201 .144 -.078 .003 -.072 13 + years) (.067) (.037) (.094) (.102) (.073) Indians*(edu .178 .109 -.109 -.039 -.055 13 + years) (.062) (.043) (.091) (.050) (.065) Chinese .731 .506 .425 .988 .612 (.097) (.066) (.107) (.180) (.092) Indian .360 .274 .173 .431 .323 (.107) (.076) (.172) (.174) (.119) experience .089 .045 .034 .076 .035 (.007) (.006) (.010) (.018) (.007) experience2 -002 -0007 -0005 -0013 -.0006 (.0002) (.0001) (.0001) (.0003) (.0001) 66/72/85 .111 .118 .267 .044 .153 (.059) (.054) (.090) (.083) (.062) 41 Table 9 (cont’d). 67/73/86 .043 .071 .229 .092 .169 (.062) (.052) (.092) (.081) (.061) 68/74/87 .059 -.079 .229 .036 .133 (.059) (.051) (.102) (.092) (.070) 69/75/88 156 -.038 .151 -.070 .055 (.059) (.051) (.133) (.102) (.083) 76 -.010 (.043) Mother’s .01 1 .026 .005 .016 .013 Education (.010) (.007) (.013) (.009) (.008) Father’s .034 .022 -.012 .01 1 .001 Education (.009) (.006) (.010) (.008) (.006) Small town .237 . 189 .250 .035 .136 (.045) (.031) (.046) (.037) (.028) Large town .185 .178 .248 .122 .198 (.055) (.041) (.090) (.050) (.043) City .289 .359 .115 .247 .250 (.056) (.041) (.092) (.083) (.066) Number of .078 .032 jobs (.065) (.037) Start earnings -.361 -.387 -.371 (.117) (.089) (.071) End earnings -.079 -.235 -. 159 (.l 18) (.096) (.074) constant 3.62 4.42 4.86 4.51 5.02 (. 143) (.113) (.230) (.273) (.159) R2 .3680 .4194 .4015 .4171 .4162 No of. Obs. 1686 2548 1052 1 143 2195 Note: Robust standard errors are in parentheses. Total pooled sample includes panel, children and new sample in MFLSZ. 42 Table 10. Real Earnings Regression by Sample with interaction between Race and Years of Education (Respondents that join labor force after NEP) Sample Panel & New Total Children Pooled Year 84-88 84-88 84-88 Education .073 .056 .064 (0 - 6 years) (.033) (.022) (.019) Chinese*(edu -.098 -.101 -.104 0 - 6 years) (.060) (.059) (.051) Indians*(edu -.071 -.031 -.046 O — 6 years) (.039) (.027) (.023) Education .115 .099 .117 (6 — 12 years) (.013) (.011) (.008) Chinese*(edu -.O45 -.038 -.048 6 — 12 years) (.023) (.022) (.017) Indians*(edu -.047 -.034 -.042 6 - 12 years) (.020) (.017) (.013) Education .159 .212 .186 (13 + years) (.019) (.014) (.012) Chinese*(edu .089 -.035 .034 13 + years) (.038) (.030) (.024) Indians*(edu . 105 -.009 .038 13 + years) (.036) (.026) (.022) Chinese .978 1.22 1.12 (.330) (.332) (.285) Indian .612 .362 .478 (.208) (. 139) (.123) experience .108 .069 .1 1 1 (.008) (.011) (.006) experience2 -0025 -0013 -0025 (.0004) (.0004) (.0003) 43 85 86 87 88 Mother’s Education Father’s Education Small town Large town City Start earnings End earnings constant R2 No of. Obs. -.026 (.058) -.138 (.057) -.202 (.059) -.234 (.064) .016 (006) -.002 (.007) .172 (.033) .110 (.048) .193 (.056) -.184 (.052) -.132 (.056) 4.36 (.205) .4704 1382 Table 10 (cont’d). -.071 (.055) -.056 (.056) -.070 (064) -.03 l (.067) .01 1 (006) .0009 (.006) .149 (.032) .205 (.042) .303 (.063) -.118 (.058) -.053 (.062) 4.72 (.156) .5032 1309 -.062 (.040) -.122 (.040) -.180 (.043) -. 190 (.047) .013 (.004) (.004) .168 (.023) .203 (.032) .237 (.043) -. 162 (.040) -. 100 (.043) 4.36 (.127) .4991 2691 Note: Robust standard errors are in parentheses. Total pooled sample includes panel, children and new sample in MFLS2. Table 11. Real Earnings Regression by Sample with interaction between Race and Years of Education (age cohort 15-34 years) Sample Panel Panel Panel & New Total Children Pooled Year 65-69 71-76 84-88 84-88 84-88 Education .055 .074 .043 .041 .039 (0 - 6 years) (.021) (.020) (.025) (.024) (.018) Chinese*(edu .014 .037 -.102 -.102 -.101 0 - 6 years) (.030) (.027) (.056) (.050) (.041) Indians*(edu -.044 -.043 -.060 -.023 -.030 0 — 6 years) (.031) (.028) (.031) (.029) (.021) Education .247 .225 .l 19 .080 .1 1 1 (6 — 12 years) (.020) (.015) (.012) (.011) (.008) Chinese*(edu -.145 -. 131 -.040 -.029 -.049 6 - 12 years) (.026) (.021) (.023) (.020) (.016) Indians*(edu -.083 -.071 -.050 -.021 -.O38 6 — 12 years) (.036) (.028) (.020) (.018) (.014) Education .127 .195 . 127 .221 .170 (13 + years) (.051) (.024) (.021) (.015) (.014) Chinese*(edu .241 .1 10 .084 -.037 .044 13 + years) (.080) (.043) (.038) (.033) (.026) Indians*(edu .223 .047 .1 16 -.01 1 .053 13 + years) (.066) (.035) (.044) (.055) (.034) Chinese .507 .472 .989 1 . 16 1.08 (.140) (.139) (.306) (.282) (.226) Indian .380 .410 .544 .322 .389 (.142) (.130) (.165) (.150) (.113) experience . 126 .068 .1 13 .091 .120 (.014) (.015) (.008) (.012) (.006) experience2 -.003 -0012 -.003 -0025 -003 (.0005) (.0005) (.0004) (.0004) (.0003) 66n2/85 .147 .144 -.029 -.024 -.045 (.068) (.064) (.056) (.049) (.037) 45 67/73/86 68/74/87 69/75/88 76 Mother’s Education Father’s Education Small town Large town City Number of jobs Start earnings End earnings constant R2 No of. Obs. .042 (.071) .075 (.066) .192 (.067) .015 (.013) .014 (.011) .141 (.053) (.068) .168 (.069) .065 (.074) 3.62 (.171) .3475 1115 Table 1 1 (cont’d). .080 (.064) -.086 (.063) -.008 (.065) -.017 (.054) .006 (.009) .003 (.008) .133 (.043) .065 (.052) .175 (.061) .072 (.046) 4.09 (.154) .4805 1 203 -.116 (.057) -.160 (.058) -.208 (.063) .013 (.007) -.003 (.007) .149 (.032) .114 (.049) .200 (.055) -.187 (.052) -.101 (.056) 4.53 (.163) .3898 1369 .012 (.050) (060) .022 (.065) (006) .007 (006) .114 (.031) .149 (.042) .254 (.065) -.141 (060) -.047 (.062) 4.77 (.170) .4153 1361 -.089 (.037) -.l32 (.041) -.148 (.046) .010 (.005) .003 (004) .137 (.023) .176 (.032) .222 (.043) -.l77 (.041) -.083 (.043) 4.50 (.119) .4149 2730 Note: Robust standard errors are in parentheses. Total pooled sample includes panel, children and new sample in MFLSZ. 46 Table 12. Real Earnings Regression by Sample with interaction between Race and Years of Education (age cohort 35-54 years) Sample Panel Panel Panel & New Total Children Pooled Year 65-69 71-76 84-88 84-88 84-88 Education .121 .058 .043 .056 .043 (0 — 6 years) (.035) (.018) (.013) (.021) (.012) Chinese*(edu -.090 —.029 .031 -.063 -.01 1 O - 6 years) (.038) (.021) (.027) (.036) (.022) Indians*(edu -.086 -.078 .027 -.078 -.050 0 - 6 years) (.042) (.024) (.043) (.037) (.027) Education .033 .198 .114 .130 .123 (6 — 12 years) (.076) (.036) (.020) (.016) (.012) Chinese*(edu .075 -.054 -.076 -.036 -.041 6 — 12 years) (.087) (.041) (.032) (.021) (.018) Indians*(edu .134 .021 .044 -.002 .012 6 — 12 years) (.078) (.037) (.035) (.022) (.018) Education . 146 .048 .243 . 183 .198 (13 + years) (.122) (.050) (.036) (.026) (.021) Chinese*(edu .063 . 134 -.010 -.018 -.038 13 + years) (.127) (.060) (.081) (.047) (.044) Indians*(edu .071 .130 -.088 -.025 -.O41 13 + years) (.121) (.062) (.065) (.035) (.031) Chinese .950 .554 .395 .971 .661 (.136) (.077) (.127) (.197) (.113) Indian .323 .301 -.040 .553 .413 (.168) (.093) (.216) (.204) (.144) experience -.050 .057 .023 .081 .043 (.054) (.024) (.024) (.029) (.016) experience.2 .0007 -.001 -0003 -0014 -.0007 (.0008) (.0004) (.0004) (.0005) (.0003) 66/72/85 .040 .028 .299 .012 .150 (. 120) (.087) (.098) (.118) (.079) 47 67/73/86 68/74/87 69/75/88 76 Mother’s Education Father’s Education Small town Large town City Number of jobs Start earnings End earnings constant R2 No of. Obs. .076 (. 127) .018 (.122) .055 (.121) .002 (.017) (.016) .461 (.088) .348 (.091) .513 (.090) .093 (.105) 5.40 (.917) .4428 551 Table 12 (cont’d). -.001 (.081) -.132 (.083) -.O92 (.081) -.041 (.069) .033 (.011) .027 (.009) .227 (.046) .293 (.062) .459 (.054) .005 (.050) 4.41 (.413) .4113 1352 .315 (.102) .214 (.110) .100 (.126) -.005 (.015) -.002 (.010) .246 (.048) .307 (.090) .126 (.110) -.422 (.110) -.336 (.107) 5.03 (.412) .5140 835 .116 (.109) .089 (.119) -.014 (.117) .022 (.009) .002 (.008) .079 (.040) .178 (.051) .271 (.084) -.330 (.086) -.217 (.092) 4.41 (.441) .4726 1090 .201 (.077) .129 (.083) .058 (.088) .013 (.008) -.0007 (.006) .158 (.030) .255 (.043) .269 (.068) -.354 (.070) -.248 (.071) 4.88 (.276) .4924 1925 Note: Robust standard errors are in parentheses. Total pooled sample includes panel, children and new sample in MFLSZ. Table 13. Real Earnings Regression by Sample in 1976 Cross-section Sample Panel Education .050 (.016) Chinese*(education .004 0 - 6 years) (4)24) Indians*(education - .038 0 - 6 years) (.036) Education .202 (6 — 12 years) (.023) Chinese*(education - .062 6 — 12 years) (030) Indians*(education .007 6 — 12 years) (.043) Education .152 (13 + years) (.060) Chinese*(education .052 13 + years) (079) Indians*(edu .006 13 + years) (.099) Chinese .447 (.108) Indian .236 (.166) experience .043 (.008) experience2 -.0006 (.0001) Mother’s .013 Education (.014) 49 Father’s Education Small town Large town City Number of Jobs constant R2 No of. Obs. Table 13 (cont’d). .018 (.010) .216 (.053) .220 (.070) .391 (.082) -.005 (-044) 4.52 (.157) .4422 937 Note: Standard errors are in parentheses. 50 Table 14. Real Earnings Regression by Sample in 1988 Cross-section Sample Panel Panel & New Total Children Pooled Source of Main All Main All Main All Main All Earnings Education .024 .013 .029 .021 .039 .035 .028 .022 (O — 6 years) (.018) (.018) (.014) (.014) (.016) (.016) (.010) (.011) Chinese*(edu .019 .034 .008 .017 -.041 -.036 -.003 .006 0 - 6 years) (.029) (.029) (.024) (.024) (.026) (.026) (.017) (.017) Indians*(edu .005 .014 .030 .055 -.007 .005 .01 l .028 0 - 6 years) (.060) (.060) (.041) (.041) (.028) (.029) (.023) (.024) Education .156 .147 .142 .129 .136 .123 .149 .135 (6 — 12 years) (.030) (.030) (.014) (.014) (.010) (.010) (.008) (.008) Chinese*(edu - .1 16 -.1 18 -.085 -.076 -.050 -.O39 -.068 -.056 6 - 12 years) (.044) (.044) (.023) (.023) (.016) (.016) (.014) (.014) Indians*(edu .030 .039 - .030 -.O32 -.056 -.046 -.052 -.045 6 — 12 years) (.067) (.066) (.028) (.028) (.018) (.018) (.016) (.016) Education .123 .115 .173 .174 .198 .206 .178 .183 (13 + years) (.063) (.061) (.023) (.023) (.019) (.019) (.015) (.015) Chinese*(edu .101 . l 1 1 .080 .068 -.O31 -.043 .019 .007 13 + years) (.094) (.092) (.045) (.046) (.037) (.037) (.029) (.029) Indians*(edu -.176 -.174 -.015 .002 -.017 -.028 -.010 -.010 13 + years) (.119) (.118) (.054) (.054) (.039) (.039) (.032) (.032) Chinese .427 .296 .498 .381 .885 .821 .621 .515 (.135) (.135) (.115) (.117) (.141) (.142) (.088) (.089) Indians -.009 -. 127 .032 -. 138 .302 .202 .201 .061 (.302) (.301) (.213) (.217) (.151) (.152) (.122) (.123) Experience .026 .023 .072 .072 .076 .079 .077 .078 (.015) (.014) (.004) (.005) (.009) (.009) (.003) (.003) Experience2 .0005 -0004 -.001 -001 -001 -001 -.001 -.001 (.0002) (.0002) (.00007) (.00007) (.0002) (.0002) (.00006) (.00006) 51 Table 14 (cont’d). Mother’s -.010 -.010 .006 .008 .010 .010 .009 .009 education (.170) (.169) (.009) (.009) (.006) (.007) (.005) (.005) Father’s .006 .004 .003 .002 .014 .014 .009 .009 education (.014) (.014) (.008) (.008) (.006) (.006) (.005) (.005) small town .319 .297 .254 .229 .152 .148 .206 . 187 (.069) (.068) (.041) (.041) (.031) (.032) (.025) (.025) large town .426 .399 .253 .234 .212 .193 .257 .235 (.117) (.116) (.063) (.064) (.041) (.042) (.035) (.036) city .221 .188 .277 .251 .319 .280 .317 .283 (. 187) (. 186) (.084) (.086) (.064) (.065) (.052) (.053) constant 5.23 5.49 4.37 4.54 4.50 4.59 4.39 4.53 (.316) (.300) (.102) (.104) (. 126) (.127) (.075) (.076) R2 .4468 .3984 .4477 .4124 .4853 .4595 .4781 .4474 No of. Obs. 580 580 1272 1272 1409 1409 2681 2681 Note: Standard errors are in parentheses. Total pooled sample includes panel, children and new sample in MFLS2. Main refers to earnings from main job only. All refers to aggregate earnings from all jobs. 52 CHAPTER 2 DISTRIBUTION OF SCHOOLING AND EARNINGS INEQUALITY IN MALAYSIA 1. Introduction Income inequality is an important policy issue because if distributions of income within and between groups are uneven, then large segments of the population are not reaping the benefits of economic growth. It is even more important in Malaysia because of the sensitivity of income inequality among the races. This is reflected in the New Economic Policy (NEP) which has the prime objective to reduce poverty and income disparities. A number of strategies are employed by policy makers to reduce income inequality. These strategies are designed to promote economic growth with equity.l It is essential to enlarge the economic pie to ensure that in the course of restructuring society to enable Bumiputra2 to participate in higher income earning activities, other groups in the Malaysian society do not experience any sense of loss or feel a sense of deprivation. One of the major policy instruments utilised in raising overall income and reducing inequality in Malaysia is through the expansion of education.3 The emphasis on education is evident from the sizeable budget allocation of development expenditure for social services. In 1988, 1.1 billion ringgit was allocated for education that is 71.2% of ' Fifth Malaysia Plan 1986-1990 pp. 21-28 provides a discussion of the strategies for growth and distribution issues. 2 Bumiputra comprises mainly Malays and a very small fraction of indigenous ethnic group. 3 Mahatir Mohamed (1998) also concurred with the importance of the role of education in raising overall income and reducing income inequality. 53 total development expenditure for social services.4 Moreover, the importance of education in the process of economic development is well documented. The importance of education is evident from the numerous advantages of educational investment and expansion.5 For instance, education provides direct satisfaction to persons during school and later in life. It is an important means to provide trained and skilled manpower, which is essential for the expanding industrial and manufacturing sector in Malaysia. Education enhances productivity and income, and thus contributes to economic growth. Education investments in Malaysia are aimed at boosting economic growth, achieving wider diffusion of economic opportunities and reducing income inequality. However, it should to be pointed out that the NEP complements the education policies to reduce income inequality. The NEP is considered as a socio-economic engineering program that is intended to redistribute wealth and to provide equitable spread of education and employment opportunities to reflect the racial composition of Malaysia. The NEP, through the strategy of employment restructuring, is designed to enable the disadvantaged group to benefit more from increases in the quantity and quality of employment. The significance and emphasis on education in Malaysia provided the motivation to examine the role of education on the earnings distribution in Malaysia. The main focus of this paper is on the effect of education on earnings inequality. The key research goals are: (1) to establish the link between the distribution of education and the distribution of earnings over time with reference to the education policy and New Economic Policy; and 4 It accounts for 18.3% of total development expenditure for 1988. 54 (2) to examine the intergenerational transmission of schooling over time; 2. Literature Review The initial studies on the effects of education on income distribution are at the aggregate level across countries. Most of these studies, Chiswick (1971), Adelman and Morris (1973), Chenery and Syrquin (1975), Park (1996), De Gregorio and Kim (1999) found that higher educational attainment and more equal distribution of education have a significant role in making income distribution more equal. However, Ram (1984) with a sample of 28 countries find that higher level of schooling have a mild (insignificant) equalizing effect as most studies have suggested. But larger education variance leads to more equality in income distribution, which is contrary to most findings. Ram (1989) with a different data set found that there is no significant relationship between mean schooling on income inequality for the full sample of 27 countries. In recent years, studies of the linkage between the distribution of schooling and income distribution at the individual level within a single country have gained prominence. Knight and Sabot (1990) used establishment survey data of workers in Kenya and Tanzania in 1980 to investigate the different approaches taken by the respective governments to compress wages. They found that the educational expansion adopted by Kenya was more effective in reducing the earnings inequality than Tanzania’s pay equalization policy which is only effective in the public sector. This is reflected by the pay premium of secondary education in Kenya which is about 20% lower than in 5 Schultz (1963), World Bank (1980, pp. 12-15) and Ram (1989) provide a discussion on the benefits of education. 55 Tanzania. It is also noted that in 1971, the premium of secondary education was significantly higher in Kenya than in Tanzania. Lam and Levinson (1992) used household survey data from Brazil to study the relationship of the distribution of schooling to earnings inequality. It was found that mean level of schooling experienced steady increases and schooling inequality measured by the coefficient of variation declined significantly. The variance in years of schooling increased from the older cohorts 1925-27 and peaked with the 1949-51 cohort. For subsequent younger cohorts, the variance in years of schooling declined. The cohort effect is disequalizing for older age groups and equalizing for younger cohorts. However, the overall increase in residual variance from 1976 to 1985 for both age groups and birth cohorts was large enough to overcome the equalizing effects of declining variance in years of schooling and declining returns to schooling. Brazil’s experience showed that even substantial improvements in the schooling component of earnings inequality did not guarantee overall declines in earnings inequality. But the beneficial effect of lower schooling inequality on overall earnings inequality is expected to be more evident as post-1950 birth cohort become an increasing proportion of the labor force. Lam (1999) used large household surveys from South Africa and Brazil to show the important differences between the two countries in the link between the distribution of education and the distribution of income. Lam applied a decomposition technique to identify the contribution of the various factors that determine earnings inequality. An interesting feature in his study is the use of estimated coefficients of the earnings regression and the distribution of characteristics to simulate counterfactual distribution of earnings. The findings reveal that inequality of schooling is an important determinant of 56 income inequality in both countries, and plays a key role in the transmission of inequality across generations. Cameron (1998) used the National Socio-econornic Survey (SUSENAS) at the household level to analyze the changes in income inequality in Java between 1984 and 1990. It was found that the increase in income inequality between 1984 and 1990 was mainly due to the movement out of agricultural sector and to increases in mean incomes in the traditionally better paid industries relative to agriculture. The increase in the number of people with higher levels of education significantly increased inequality but the increased supply of better-educated individuals resulted in the flattening of the education-earnings profile. As such, the net effect of increased education level was a modest increase in inequality. ’ Levy and Mumane (1992) in their survey of studies on earnings inequality in the United States summarized that earnings inequality was relatively stable in the 1970s but has increased rapidly in the 1980s. For men, annual earnings inequality moved from stability or gradual increases in the 19708 to rapid increases in the 1980s. For women, annual earnings inequality moved from modest decline in the 1970s to increases in the 19803. For both men and women, increased earnings inequality was driven by the increase in wage variation. The single most important change within the male earnings distribution is the declining position of young, less educated men. For young males who are not college graduates, the economy of the 1980s provided a much reduced opportunity to earn a middle class income. Juhn, Murphy and Pierce (1993) used data from the March Current Population Survey and found that wage inequality remained stable or even declined slightly in the 57 1960s and then increased steadily through 1989. The trend toward greater wage inequality is due to increases in the premia on both unobserved and observed dimensions of skills such as education. In decomposing the level of wage inequality, it was found that residual component appeared to be the most important for the overall increase in inequality. In particular, returns to unobservable skills have shown a steady increase since 1970. It is noted that the above studies were in the context of rising income inequality in both developing and developed countries. Malaysia presents an interesting alternative case for analysis as earnings inequality has fallen over time. It would be useful for policy makers to understand how development with equity is achieved. The second key goal of this paper is to examine the linkage between parents’ schooling and children’s schooling. This is because intergenerational transmission of schooling provides an important link between schooling inequality and earnings inequality. The strength of the relationship of parents’ schooling and children’s schooling would suggest the degree of importance of intergenerational transmission of earnings inequality. Dennis deTray (1988) used the first wave of the Malaysian Family Life Survey (MFLS) to study the differentials in school attendance among children who were 6-18 years old in 1976. The main finding of this study is that Malaysian families respond to conditions in their household and communities when they decide whether or not to send their children to school. Another finding is that government action has substituted effectively for a shortfall of private resources among Malay families. Lillard and Willis (1994) studied the relationship between parents’ education and children’s education 58 using the second wave of MFLS. They examined the effects of parental education on the progress of their children through elementary, secondary, and post-secondary school. The finding is that mothers’ and fathers’ education have positive and significant effects on their children’s educational attainment. The introduction of measured time-varying economic, demographic, and environmental factors weakens the direct effects of parental schooling, but does not weaken the correlation of unmeasured components between parents and children. Lee (1998) analyzed the ethnic differences in fertility and child schooling in Malaysia using data from the second wave of MFLS. He found that the parents’ education is a less important determinant of child’s education after the NEP. Previous studies have either used the first or second waves of MFLS for analysis. In contrast, this study is utilizing the data from both the first and second waves of MFLS for analysis. Specifically, the children sample is obtained by extracting the children from the panel sample in MFLS] which is then pooled with the children of the New and Senior Samples of MFLS2. The advantage of using the children of the panel sample from the first wave is that the problem of relatively higher attrition rate of Chinese can be avoided. In terms of the regression specification, the approach by Lee (1998) is the most appropriate as it can be applied to establish the relationship between parents’ and children’s schooling and also to test whether this relationship weakened after the implementation of NEP and changes in educational policies. Another difference is that this study focus on the differences in schooling between Malays and non-Malays. 59 3. Theoretical Linkages between Education and Earnings Distribution Based on the human capital model of earnings by Mincer (1974) an earnings generating function is expressed as follows: logYs=logY0+Zlog(1+rj)+u, (1) 1:1 where Y, is the earnings of a person with S years of schooling, Yo with zero schooling, r,- is the rate of return to the jth year of schooling and n represents the omitted variables. Using the approximation log(1 + r) = r, equation (1) can be written as: log Y, = log Y0 + rS + u, (2) where r is the average private rate of return to investment in S years of schooling. Taking variances on both sides of equation (2), the distribution of earnings can be written as: Var(log 13) = Var(rS) = 72Var(S) + SzVar(r) + 2?SCov(r, S), (3) where a bar over a variable indicates its mean. Holding other variables constant, the model predicts a reduction in earnings inequality if schooling inequality (Var(S)) is reduced. If the rate of return and schooling level are independent, an increase in the level of schooling leads to greater earnings inequality. However, if the level of schooling and rate of return are dependent, the covariance term can take on a negative or positive value. If the covariance between the return to schooling and level of schooling is negative, then an increase in schooling attainment shall reduce earnings inequality. As such, the effect of an increase in schooling attainment on earnings inequality is an empirical question. However, Lam (1999) pointed out that if schooling inequality is measured by a mean-invariant measure of inequality such as coefficient of variation, then it is possible that a decrease in schooling inequality can be associated with an unchanged or even an increase in earnings inequality.6 For instance, an increase in mean schooling with its variance constant implies that the coefficient of variation of schooling decreases but the variance of log earnings remains unchanged. On the other hand, if the variance of schooling increases by a smaller rate than mean schooling, it will also result in the decrease in the coefficient of variation of schooling but then earnings inequality increases. This implies that there is no theoretical reason to expect a more equal distribution of schooling should lead to a more equal earnings distribution. Therefore, the effect of schooling inequality (coefficient of variation of schooling) on earnings inequality is also an empirical question. Knight and Sabot (1990) explained the linkage between educational expansion and earnings distribution through the composition effect and wage compression effect. The composition effect tend to increase income inequality due to the increases in the relative size of the group with more schooling and higher earnings. The wage compression effect is due to the increase in supply of educated labor relative to demand, which compresses wages and results in lower income inequality.7 The literature review reveals that the study of distribution of education on the distribution of earnings has not been attempted on Malaysian setting. As such, this study shall make a contribution by replicating Lam’s study using the Malaysian data set. ° Lam’s derivation is focussed only on relationship with the first term on the right hand side of equation (3). 7 See Psacharopoulos and Woodhall (1985, p.267) for a more detailed illustration of the mechanisms by which educational invesment can affect income distribution. 61 4. Data The analysis is based on the first and second wave of the Malaysian Family Life Survey (MFLS) data conducted by RAND and the National Population and Family Development Board of Malaysia. The first wave was carried out in 1977 and the second wave during the period August 1988 through January 1989. The data on the schooling distributions is based on the household roster information which contains basic demographic and education information for each household member of those interviewed. The sample for schooling distribution is constructed by pooling the Panel sample in the first wave and the New and Senior samples of the second wave. After deleting those who were born before 1919 and after 1969, and those with missing data on education, the sample includes 9788 respondents. The data for the analysis of earnings inequality is obtained by merging the household roster information with data on employment history in the first wave. This is to obtain earnings data for 1967-69 and 1976 which represent the period before NEP and early post-NEP period respectively. The period 1967-69 is used so that the earnings data of respondents can be captured at least once during this period. This is because earnings data before 1976 is collected retrospectively once every 3 years or whenever there is a job change. As for the second wave, the household roster information is merged with data on current income activities which contain data on earnings in 1988 that is late post-NEP period. After deleting respondents that are out of the specified age range (20-54)8, 8 The choice of the age range 20-54 is due to several reasons. First is the MFLSl panel sample is small and sample size problems will arise particularly when stratified by cohorts or race if the age range 30-49 is used as in Lam’s study. Second, the age range 20-54 is appropriate because it reduces problem of 62 females and those with missing data, the number of respondents for pre-NEP period is 827, early post-NEP period is 892 and late post-NEP is 4018. The data analysis for intergenerational transmission of schooling is constructed by pooling the children of Panel sample in the first wave and the children of New and Senior samples in the second wave. The sample of children aged 17 and above at the time of survey comprises 1217 males and 826 females. For children age 20 and above, 947 are males and 627 are females. 5. The Evolution of Schooling Distribution The expansion of education in Malaysia has been impressive. Table 1 shows the summary statistics for the schooling of Malays and non-Malays9 in Malaysia by five-year birth cohorts. It provides an idea of the history of schooling from cohorts born in 1919 to 1968. The number of observations by ethnic group is shown in Columns 1-2. The mean years of completed schooling are given in Columns 3-4. Overall, the average years of schooling for Malays (6.06 years) is lower than non-Malays (6.25 years). However, it is worthwhile to note that for older birth cohorts (1953 and below), the mean schooling for non-Malays is higher than for Malays, while this trend is reversed for younger birth cohorts (1954 and above). Consistent with the trends observed in Brazil, South Africa and Java, education levels are rising over time in Malaysia, for both Malays and non- Malays. However, the rate of increase in schooling is higher for Malays from a mean of selectivity of schooling decision and the cut-off point of 54 is because the mandatory retirement age in Malaysia is 55 years. 9 Non-Malays include Chinese, Indians and other races. The decision to stratify by Malays and non-Malays is mainly because this classification is of interest to policy makers who are interested in how the Malays fare vis-a-vis the non-Malays. The other reason is that this classification uses all possible observations in the survey which alleviates to a certain extent the problem of small sample size in MFLS l. 63 1.74 (birth cohort 1919-1923) to 9.57 years of schooling (birth cohort 1964-68). For non- Malays the mean years of schooling for those in birth cohort 1919-1923 is 2.97 and 8.82 for those in birth cohort 1964-68. These trends appear to be compatible to two main factors: (i) the overall expansion of educational opportunities which increases the level of education of all groups; and (ii) the narrowing of schooling inequalities between Malays and non-Malays due to the Education Act in 1961 and the New Economic Policy in 1970 which provided conditions which encouraged the more rapid increase in schooling of Malays relative to other races among younger cohorts. Columns 5-6 of Table 1, show the standard deviation in years of schooling by birth cohorts and ethnic group. The standard deviation of schooling of Malays by birth cohort is observed to be lower than non-Malays. Columns 7-8 of Table 1 shows the coefficient of variation in years of schooling by birth cohorts and ethnic group. Overall, a declining trend in the coefficient of variation from the older cohorts to the younger cohorts can be observed for both Malays and non-Malays. This suggest that schooling inequality is decreasing over time. The mean years of schooling for males and females by ethnic groups are plotted in Figures 1 and 2 respectively. In analysing the trends in schooling in Malaysia it is important to bear in mind that there are four major policy changes which can affect schooling decisions among Malays and non-Malays. The first three are related to the Education Act, 196110. First is that the Malayan Secondary School Entrance Examination 1° One salient feature of the Education Act, 1961 is the policy of education expansion by providing free primary education and automatic promotion from Standard One (Grade 1) to Form Three (Grade 9). The other important feature is the conversion to Malay medium of instruction for secondary schools and higher education institutions. The prime objective of using Malay as the national language is to achieve national unity. See Soloman (1988) , Wong and Hong (1975) for a more detailed illustration of education system in Malaysia. (MSSEE) was abolished in 1964. It was replaced by the Lower Certificate of Examination (LCE) which is public examination taken at Form 3 (Grade 9) to gain promotion to upper secondary school. This meant that from 1965 onwards, students at Grade 6 Were automatically promoted to secondary level up to Form 3. This policy revision has the effect of increasing educational levels of all groups. Second is the criteria is that a student needs to at least obtain a pass in Malay language to secure a pass in LCE. A pass in LCE is a pre-requisite to progress to upper secondary school. The requirement to pass the Malay language is expected to affect the non-Malays more as it is not their mother tongue and also Malay language was not as widely used during that time. It is expected to affect those who were born from 1950 (age 15 in 1965) onwards. Third is the policy decision to convert all secondary school into Malay medium of instruction which affected those born from 1961 onwards.11 Fourth is the specification of racial quotas for admission to universities which were favorable to the Malays. This decision affected those born from 1953 onwards as they would have been in Form 5 in 1970. The NEP, by limiting the number of places to higher education by ethnic groups affected the student’s perception of their chances to gain admission to Universities. This was revealed in the study by Wang (1980) who found that the NEP raised Malays’ educational aspirations and their expectation of being successful in gaining places in local Universities. As a result, he found that Malays were more likely than Chinese to continue to Form Six (Grade 12). However, it should also be cautioned that even though the timing of the above government policy changes are known, it is still hard to pinpoint when the ” The conversion to Malay medium of instruction was fully achieved in secondary schools by 1978 and at the university level by 1983. 65 government policy actually take effect. It is even more difficult to ascertain the timing as there are implementation lags in policy interventions. In the light of the education expansion policy coupled with the educational policies that favor Malays, it is expected that mean schooling levels would increase for the younger cohorts but the rate of increase in schooling for Malays should be higher than for non-Malays. Based on Figure 1, which shows mean years of schooling of males by ethnic group, it is obvious that both Malays and non-Malays have rising levels of education over time. For cohorts born before 1953 it is noted that the mean level of schooling of non-Malays is higher than Malays. But the trend is reversed for the birth cohort after 1953 as the Malays obtain higher mean levels of schooling than non-Malays. Figure 2 shows the mean years of schooling of females by ethnic group. Just like the trend for females, both Malays and non-Malays receive rising levels of schooling from the older cohorts to younger cohorts. For the older birth cohorts (before 1947) it appears that the mean level of schooling Malays is lower than non-Malays. This trend is reversed for the younger birth cohorts (1957 onwards) as the mean levels of schooling are higher for Malays. For the schooling of males and females, it is unclear where the timing of structural breaks in the trends in mean schooling level occurs. Therefore, a test of structural break shall be presented in the subsequent section to determine the timing of the effect of government policies on schooling distribution among Malays and non- Malays. Figure 3 and 4 plots the standard deviation of years Of schooling which is one measure of schooling inequality for males and females respectively. From Figure 3, it is 66 noted that Malay males in the birth cohort (before 1943 and after 1956) have lower standard deviation of years schooling than non-Malay males. As for females, Figure 4 shows that for the birth cohort 1953 and below, Malays have lower standard deviation in years schooling than non-Malays. Figure 5 and 6 plots the coefficient of variation of years of schooling of males and females respectively. First it is noted that there is overall decline in schooling inequality for both males and females in each ethnic group. Second the schooling inequality of male Malays is slightly higher than for non-Malays males for the birth cohort 1947 and below. For the birth cohort after 1954, it appears that the non-Malays males have a marginally higher schooling inequality than Malay males. For Malay females the decline in schooling inequality for the birth cohort before 1946 is more drastic compared to non- Malay females. For the both Malay and non-Malay females in birth cohort 1948-1956 have similar level of schooling inequality. For those who were born after 1958, Malay females have a slightly lower schooling inequality compared to non-Malay females. Table 2 shows another way of analysing the evolution of schooling distribution across cohorts. Columns 1 and 2 presents the mean years of schooling by schooling decile for respondents age 55-59 and 25-29 in 1988 respectively. Column 3 indicates the increases in mean years of schooling across cohorts by schooling decile. Similar to the results in Brazil and South Africa, it is worthwhile to note that the increases in mean level of schooling has been associated with the compression of the schooling distribution. This is evident as the top deciles have smaller increases in mean schooling than deciles around the middle of the distribution. The biggest improvements are in the 4‘h to 7tln deciles of the schooling distribution. The mean, standard deviation, coefficient of 67 variation and Gini coefficient of years of schooling by age groups are presented in the last four rows of Table 2. The mean years of schooling confirms the rising levels of education over time, while the coefficient of variation and Gini coefficients confirm the Observation that the schooling distributions have become more equal. Figure 7 plots Lorenz curves for the schooling distributions of the age groups 25- 29 and 55-59 of the total population in 1988. The Lorenz curves confirm the observation above that the schooling distribution of the age group 25-29 is unambiguously more equal than the age group 55-59. Figure 8 plots Lorenz curves for the schooling distributions Of the age groups 25-29 and 55-59 in 1988 stratified by Malays and non- Malays. It is of interest to note that among the old cohort (age 55-59) Malays appear to have greater schooling inequality than non-Malays. The Gini coefficients for Malays and non-Malays (age 55-59) are .660 and .594 respectively. But the trend is reversed among the young cohort (age 25-29) where non-Malays have greater schooling inequality than Malays. The Gini coefficients for Malays and non-Malays (age 25-29) are .182 and .228 respectively. On the whole, both Malays and non-Malays have substantial reductions in schooling inequality over time. As the Lorenz curves are unaffected by the mean of the distribution, they cannot be used to rank distributions in terms of social welfare.12 Therefore, the generalized Lorenz curves of schooling by age group and ethnic group is presented in Figure 9. It is noted that among the older age group (55-59) non-Malays are better off in terms of schooling distribution. But for the younger age group (25-59) Malays are better off in terms of schooling distribution. Both Malays and non-Malays in '2 See Cowell (1995) and Deaton (1997) which provides an excellent illustration and discussion on the measures of inequality which includes the Lorenz curve and generalized Lorenz curve. 68 the younger age group have substantially higher social welfare ranking in schooling compared to the older age group. 5.1. Tests for Parameter Stability The analysis on the trends of distribution of schooling among Malays and non- Malays in Section 5 above, do not provide any clear evidence of the effect of policy changes on levels of schooling and schooling inequality. In order to test for a structural break in mean schooling levels and schooling inequality of Malays and non-Malays, a test of parameter stability proposed by Hansen (1999) is utilized to determine the timing of the effect of government policies on schooling distribution among Malays and non- Malays. The statistical procedure introduced by Hansen is useful because the test for parameter stability makes no a priori assumptions about location of a break, or even if one exists. The main difference is that instead of testing for a break at a particular point in the time series, the test examines the entire time series for the location of a break point. However, it is important to caution that even when a break can be ascertained, it can only be indirectly attributed to the government policies as what has been found is a break in the parameters of a regression relationship. It has not been proven that this break is caused by government policy intervention. The Hansen test has the additional advantage over the Andrews test because it is more general and more appropriate for this analysis. This is because the Hansen test for structural change allows for non-stationary regressors and heteroskedastic error process. Similar to the Andrews test, this technique allows for only one break in the time series. The regression relationship of interest is as follows: 69 Y = a + flC + e, Y equals mean years of schooling or measures of schooling inequality by birth cohort, ethnic group and gender, C is birth cohort e is the error term. The above regression model is applied separately to Malays and non-Malays by gender to test for constancy in B. The structural change in null hypothesis is that the parameters of interest do not change between periods (birth cohorts) are as follows: fl.={fl’ i=13 years 1.86 .174 1.85 .135 1.39 .060 Age .149 .026 .093 .023 . 163 .008 Age Squared -.0020 .0004 -.0011 .0003 -.0019 .0001 1968 -.040 .070 -.049 .051 1969 .093 .067 number of jobs .058 .078 Constant 2.35 .445 3.42 .426 2.19 . 152 N 827 892 4018 R-squared .300 .374 .344 Variance (Log Y) .839 .661 .567 Explained Variance .252 .247 .195 Residual Variance .587 .414 .372 102 Table 8. Simulated Variance of Log Earnings for Males 20-54 in 1967-69, 1976 and 1988 Simulated Variance of Based on Coefficients Log Earnings for Variables 1967-69 1976 1988 Var % Var % Var % 1. Age .030 3.58 .016 2.4 .077 13.6 2. Age + race .095 11.3 .045 6.8 .111 19.6 3. Age + race + residual .682 81.3 .459 69.4 .483 85.2 4. Age + schooling .149 17.8 .190 28.7 .163 28.7 5. Age + schooling + residual .736 87.7 .604 91.4 .535 94.3 6. Age + race + schooling .248 29.6 .244 36.9 .195 34.4 7. All * + residual .839 100 .661 100 .567 100 Notes: Simulations are based on distribution Of age, race, and schooling and coefficients from Regressions in Table 7. Simulations for each group use coefficients for variables shown, with all other coefficients set to zero. * All includes coefficients for year dummies and number of jobs for 1967-69 and coefficients for number of jobs for 1976. 103 Table 9. Log Monthly Earnings Regressions for Malay Males Age 20-54 in 1967-69, 1976 and 1988 1967-69 Variable Coef. SE Coef. SE Coef. SE Schoofing: 1-3 years .275 .151 .070 .122 .099 .082 4-5 years .468 .140 .405 .112 .246 .081 6 years .468 .146 .320 .115 .320 .070 7 — 9 years 1.06 .225 .934 .157 .600 .074 10 —12 years 1.44 .211 1.40 .155 .956 .073 >=13 years 1.78 .347 2.10 .241 1.50 .081 Age .187 .044 .147 .033 .170 .012 Age Squared -.0027 .0006 -.0018 .0004 -.0020 .0002 1968 -.142 .111 1969 .129 .108 number of jobs —.062 .106 -.089 .064 Constant 1.92 .757 2.45 .615 1.99 .218 N 379 409 2031 R-squared .217 .333 .326 Variance (Log Y) .889 .625 .553 Explained Variance .193 .208 .180 Residual Variance .696 .417 .372 104 Table 10. Log Monthly Earnings Regressions for non-Malay Males Age 20-54 in 1967-69, 1976 and 1988 1967-69 1988 Variable Coef. SE Coef. SE Coef. SE Schoohng: 1-3 years .102 .131 .058 .128 .163 .095 4-5 years .197 .133 .205 .130 .359 .095 6 years .356 .132 .261 .127 .354 .085 7 — 9 years .538 .139 .623 .131 .482 .085 10 —12 years .843 .148 1.04 .139 .723 .086 >=13 years 1.75 .194 1.69 .169 1.30 .093 Age .124 .030 .038 .033 .156 .012 Age Squared -.0015 .0004 -.0003 .0004 -.0018 .0002 1968 .093 .087 1969 .080 .082 number Of jobs .356 .123 .036 .084 Constant 2.95 .525 4.71 .640 2.73 .213 N 448 483 1987 R-squared .249 .31 1 .294 Variance (Log Y) .606 .579 .517 Explained Variance .151 .180 .152 Residual Variance .455 .399 .365 105 Table 11. Simulated Variance of Log Earnings for Males Age 20-54 in 1967-69, 1976 and 1988 by Malays and non-Malays Simulated Variance of Log Earnings Malay with Malay with Non-Malay Non-Malay Malay non-Malay with with Based on Coefficients coefficients coefficients non-Malay Malay for Variables coefficients coefficients Var % “ Var %“l Var % b Var % r A. 1967-69 1. Age .036 4.0 .032 3.6 .037 6.1 .043 7.1 2. Age + residual .732 82.3 .728 81.9 .492 81.2 .498 82.2 3. Age + schooling .170 19.1 .085 9.56 .143 23.6 .249 41.1 4. Age + schooling + residual .866 97.4 .781 87.8 .598 98.7 .704 116 5. All c + residual .889 100 .796 89.5 .606 100 .716 118 B. 1976 1. Age .029 4.6 .013 2.1 .012 2.1 .023 4.0 2. Age + residual .446 71.4 .430 68.8 .411 70.1 .422 72.9 3. Age + schooling .202 32.3 .106 17.0 .180 31.1 .315 54.4 4. Age + schooling + residual .619 99.0 .523 83.7 .579 100 .714 123 5. All d + residual .625 100 .523 83.7 .579 100 .716 124 C. 1988 1. Age .084 15.2 .070 12.7 .079 15.3 .094 18.2 2. Age + residual .456 82.6 .442 80.1 .444 85.9 .459 88.8 3. Age + schooling .180 32.6 .125 22.6 .152 29.4 .279 54.0 4. Age + schooling + residual .552 100 .497 90.0 .517 100 .644 125 Notes: Simulations are based on distribution of age, race, and schooling and coefficients from Regressions for 1967-69, 1976 and 1988 in Tables 9 and 10. Simulations for each group use coefficients for variables shown, with all other coefficients set to zero. Residual variance is from same ethnic group as coefficients. a. % calculated based on total variance of log earnings Of Malays. b. % calculated based on total variance Of log earnings of non-Malays. c. All includes coefficients for year dummies and number of jobs. (1. All includes number of jobs for 1976. 106 Table 12. Log Monthly Earnings Regressions for Malay Males Age 20-54 in 1967-69, 1976 and 1988 (include occupation variables) 1967-69 1988 Variable Coef. SE Coef. SE Coef. SE Schoohng: 1-3 years . 146 .141 -.073 .1 13 .099 .076 4-5 years .334 .132 .282 .104 .191 .075 6 years .231 .141 .117 .109 .225 .065 7 — 9 years .575 .224 .522 .158 .361 .070 10 —12 years .559 .251 .642 . 183 .552 .072 >=13 years .698 .383 1.06 .283 .924 .083 Age .130 .042 .112 .030 .152 .011 Age Squared -.0019 .0006 -.0014 .0004 -.0018 .0002 1968 -. 129 .104 1969 .122 .101 number of jobs .058 .103 .001 .060 Managers 1.17 .220 1.06 .174 .862 .058 Clerical .834 .258 .703 . 187 .628 .055 Sales .850 .189 .611 .130 .331 .053 Service .738 . 181 .647 .156 .603 .040 Production .574 .201 .483 .135 .386 .051 Transport .575 .124 .504 .094 .429 .043 Laborer -. 166 .166 -.142 .205 ' .228 .059 Constant 2.74 .719 3.03 .569 2.24 .206 N 379 409 2031 R-squared .340 .450 .425 Variance (Log Y) .889 .625 .553 Explained Variance .302 .281 .235 Residual Variance .5 87 .344 .318 107 Table 13. Log Monthly Earnings Regressions for non-Malay Males Age 20-54 in 1967-69, 1976 and 1988 (include occupation variables) 1967-69 1988 Variable Coef. SE Coef. SE Coef. SE Schoofing: 1-3 years .069 .120 .028 .118 .133 .090 4-5 years .155 .122 .213 .120 .342 .090 6 years .236 .122 .200 .117 .291 .081 7 — 9 years .213 .133 .405 .123 .354 .080 10 —12 years .275 .160 .543 .146 .493 .084 >=13 years 1.02 .213 1.01 .182 .867 .094 Age .099 .028 .020 .031 .146 .01 1 Age Squared -.0013 .0004 -.0014 .0004 -.0017 .0002 1968 .l 12 .081 1969 .101 .076 number Of jobs .414 .1 14 .088 .079 Managers 1.17 .146 1.11 .131 .797 .058 Clerical .707 .144 .727 .129 .328 .063 Sales .459 .091 .436 .082 .501 .046 Service .588 . 173 .477 .172 .296 .062 Production .566 .097 .470 .088 .369 .046 Transport .509 .104 .437 .089 .309 .043 Laborer .216 . 155 .095 .133 -.062 .066 Constant 3.13 .492 4.85 .592 2.75 .204 N 447 483 1987 R-squared .380 .426 .377 Variance (Log Y) .608 .579 .517 Explained Variance .231 .247 .195 Residual Variance .377 .332 .322 108 Table 14. Simulated Variance of Log Earnings for Males Age 20-54 in 1967-69, 1976 and 1988 by Malays and non-Malays (include occupation variables) Simulated Variance of Log Earnings Malay with Malay with Non-Malay Non-Malay Malay non-Malay with with coefficients coefficients non-Malay Malay Based on Coefficients coefficients coefficients for Variables Var % " Var %‘il Var % B Var % F A. 1967-69 1. Age .019 2.14 .011 2.02 .021 3.45 .021 3.45 2. Age + residual .606 68.2 .345 68.1 .398 65.5 .398 65.5 3. Age + schooling .048 5.40 .029 3.26 .047 7.73 .059 9.70 4. Age + schooling + residual .635 71.4 .616 69.3 .424 69.7 .436 71.7 5. Age + school + occupation .286 32.2 .213 24.0 .223 36.7 .310 51.0 6. Age + school + occupation + residual .873 98.2 .800 89.9 .600 98.7 .687 113 7. All c + residual .889 100 .801 90.1 .608 100 .696 114 B. 1976 1. Age .014 2.24 .005 0.80 .005 0.86 .011 1.89 2. Age + residual .358 57.3 .349 55.8 .337 58.2 .343 59.2 3. Age 4» schooling .066 10.6 .034 5.44 .057 9.84 .097 16.8 4. Age + schooling + residual .410 65.6 .378 60.5 .389 67.2 .429 74.1 5. Age + school + occupation .281 44.9 .222 35.5 .247 42.7 .313 54.1 6. Age + school + occupation + residual .625 100 .566 90.6 .579 100 .645 111 7. All d + residual .625 100 .561 89.8 .579 100 .645 111 C. 1988 1. Age .063 l 1.4 .059 10.7 .066 12.8 .071 13.7 2. Age + residual .381 68.9 .377 68.2 .388 75.0 .393 76.0 3. Age + schooling .086 15.6 .076 13.7 .094 18.2 .109 21.1 4. Age + schooling + residual .404 73.1 .394 71.2 .416 80.5 .431 83.4 5. Age + school + occupation .235 42.5 .181 32.7 .195 37.7 .225 43.5 6. Age + school + occupation + residual .553 100 .499 90.2 .517 100 .547 106 Note: Simulations are based on distribution of age, race, and schooling and coefficients from Regressions for 1967-69, 1976 and 1988 in Tables 12 and 13. Simulations for each group use coefficients for variables shown, with all other coefficients set to zero. Residual variance is from same ethnic group as coefficients. a. b. c. d Calculated based on total variance of log earnings of Malays. % calculated based on total variance of log earnings of non-Malays. All includes coefficients for year dummies and number Of jobs. All includes number of jobs for 1976. 109 Table 15. Means and Standard Deviations of Selected Variables Children sample at age 17 Children sample at age 20 Variables Son Daughter Son Daughter Child’s schooling: Malays 8.83 8.40 8.72 8.17 (2.52) (3.12) (2.97) (3.60) Non-Malay 8.27 7.96 8.37 7.97 (2.61) (2.88) (3.04) (3.34) Mother’s schooling: Malays 3.08 3.22 2.54 2.73 (2.95) (3.19) (2.72) (2.88) Non-Malays 3.34 3.33 3.08 2.85 (3.46) (3.38) (3.33) (3.32) Father’s schooling: Malays 3.21 3.35 3.01 3.11 (2.93) (3.17) (2.72) (2.95) Non-Malays 3.35 3.78 3.38 3.77 (3.33) (3.43) (3.33) (3.49) Child’s birth cohort: Below 1957 .237 .239 .305 .314 1957—1959 . 186 .226 .239 .298 1960-1962 .081 .076 .105 .101 1963-1965 .120 .095 .154 .124 1966-1968 .164 .128 .197 .163 1969-1971 .212 .236 - - SMK .166 .164 .126 .122 (.248) (.257) (.225) (.236) Malay SRK .398 .410 .378 .406 (.340) (.340) (.353) (.362) Chinese SRK .106 .104 .098 .084 (.218) (.209) (.212) (.191) Tamil SRK .061 .069 .060 .065 (.147) (.161) (.157) (.173) Urban .148 .143 .118 .105 110 Table 15 (cont’d.) Piped Water .487 .501 .450 .469 NO. of observations: Malays 549 333 397 248 Non-Malays 668 493 550 379 Total 1217 826 947 627 Notes: Means are reported with standard deviations in parentheses. SRK represents national primary schools, SMK represents national secondary schools. The means are computed for non-missing values, therefore the number Of observations decreases slightly for those variables. lll Table 16. Regressions on Years of Schooling of Male Children Age 17 and above p-value (.032) (2) (3) Variable Coef. SE Coef. SE Coef. SE Child’s birth cohort: 1957-1959 .184 .230 .121 .224 .154 .227 1960-1962 1.18 .364 1.08 .357 1.17 .472 1963-1965 1.69 .318 1.54 .314 1.58 .441 1966-1968 1.94 .300 1.67 .297 1.64 .440 1969-1971 1.94 .283 1.64 .283 1.56 .432 Non-Malay .133 .236 .055 .230 -.245 .242 Non-Malay*cohort(21960) -.799 .308 -.739 .298 -.457 .336 Mother’s schooling: Primary .668 .178 .957 .250 Secondary 1.58 .332 2.43 .671 Father’s schooling: Primary .375 . 163 .079 .264 Lower Secondary 1.11 .356 1.19 .640 Upper Secondary 2.43 .448 2.65 .707 Mother’s schooling*birth cohort21960: Primary*cohort21960 Secondary* cohort21960 '-708 363 -1.35 .786 Father’s schooling*birth ‘ cohort21960: Primary*cohort_>_1960 Lower Secondary* '482 '338 cohort_>_l960 Upper Secondary* “152 '774 cohort21960 4.03 .916 F-test for parent’s Schooling* cohort21960 F-statistlc 2.45 112 Table 16(cont’d.) Malay SRK*Malay .170 .499 ‘ Malay SRK*Non-Malay -.396 .537 Chinese/Tamil SRK*Non- Malay .290 .575 SMK .546 .438 Urban .261 .241 Piped Water .411 .167 R-squared .073 . 148 . 173 No. Of observations 1217 1217 1217 Notes: Missing values for parent’s schooling and community variables on are changed to zero, and a dummy variable was included for these variables to account for the missing values. 113 Table 17. Regressions on Years of Schooling of Female Children Age 17 and above (2) (3) Variable Coef. SE Coef. SE Coef. SE Child’s birth cohort: 1957-1959 .429 .291 .387 .282 .382 .282 1960-1962 2.92 .479 2.72 .466 3.21 .629 1963-1965 3.01 .454 2.86 .443 3.26 .610 1966-1968 3.66 .418 3.33 .413 3.64 .603 1969-1971 3.09 .376 2.72 .373 3.04 .580 Non-Malay .236 .299 .054 .294 . 146 .331 Non-Malay*cohort(21960) - l .04 .406 -.889 .394 -.645 .434 Mother’s schooling: Primary .446 .238 .485 .312 Secondary 1.40 .531 2.20 .864 Father’s schooling: Primary .797 .228 1.31 .355 Lower Secondary 1.97 .438 2.68 .645 Upper Secondary 2.42 .518 3.25 .830 Mother’s schooling*birth cohort21960: Primary*cohort21960 -- 100 .489 Secondary*cohort21960 "981 1-02 Father’s schooling*birth cohort21960: Primary*cohort21960 "95 1 '463 Lower Secondary* 1 67 886 cohort.>_1960 ' ' ' Upper Secondary* cohort21960 -2'23 1'07 F-test for parent’s Schooling* cohort21960 F-statrstlc 2'24 p-value (.048) 114 Table 17 (cont’d.) Malay SRK*Malay .600 .568 Malay SRK*Non-Malay -.698 .590 Chinese/'1‘ amil SRK*Non- Malay .849 .705 SMK .137 .630 Urban .380 .340 Piped Water .242 .221 R-squared . 162 .229 .260 NO. of observations 826 826 826 Notes: Missing values for parent’s schooling and community variables on are changed to zero, and a dummy variable was included for these variables to account for the missing values. 115 Table 18. Regressions on Years of Schooling of Male Children Age 20 and above (2) (3) Variable Coef. SE Coef. SE Coef. SE Child’s birth cohort: 1957-1959 .072 .262 .028 .252 .064 .252 1960-1962 1.16 .431 1.11 .417 .539 .565 1963-1965 1.70 .372 1.57 .362 .988 .533 1966-1968 1.94 .357 1.64 .349 .940 .540 Non-Malay . 188 .268 -.098 .260 -. 168 .273 Non-Malay*cohort(21960) -.801 .394 -.799 .375 -.241 .416 Mother’s schooling: Primary .790 .221 1.05 .279 Secondary 2.07 .446 2.77 .747 Father’s schooling: Primary .645 .209 .074 .294 Lower Secondary 1.35 .470 1.16 .712 Upper Secondary 3.73 .585 3.08 .789 Mother’s schooling*birth cohort21960: Primary*cohort21960 --726 .463 Secondary*cohort21960 '1-29 954' Father’s schooling*birth cohort21960: Primary*cohort.>_1960 Lower Secondary* 1'03 '418 cohort21960 Upper Secondary* '357 '948 cohort21960 -.256 1.18 F-test for parent’s Schooling* cohort_>_1960 F-statlstrc 2.09 p-value (.064) 116 Table 18 (cont’d.) Malay SRK*Malay .362 .706 Malay SRK*Non-Malay -1.30 .715 Chinese/Tamil SRK*Non- Malay .132 .760 SMK 1.85 .603 Urban .335 .331 Piped Water .383 .211 R-squared .051 .156 . 197 N o. of observations 947 947 947 Notes: Missing values for parent’s schooling and community variables on are changed to zero, and a dummy variable was included for these variables to account for the missing values. 117 Table 19. Regressions on Years of Schooling of Female Children Age 20 and above (1) (2) (3) Variable Coef. SE Coef. SE Coef. SE Child’s birth cohort: 1957-1959 .363 .327 .314 .313 .360 .313 1960-1962 3.06 .563 2.86 .542 3.17 .774 1963-1965 3.16 .537 3.02 .520 3.27 .754 1966-1968 3.88 .499 3.51 .492 3.55 .765 Non-Malay .333 .336 -.021 .328 .208 .377 Non-Malay*cohort(21960) -1.08 .535 -.953 .515 -.540 .565 Mother’s schooling: Primary .382 .293 .456 .347 Secondary 1.81 .590 2.24 .961 Father’s schooling: Primary 1.07 .290 1.27 .395 Lower Secondary 2.37 .557 2.77 .718 Upper Secondary 3.57 .676 3.57 .923 Mother’s schooling*birth cohort21960: Primary*cohort_>_l960 "-325 -663 Secondary*cohort21960 ‘-901 1-26 Father’s schooling*birth cohort_>_l960: Primary*cohort21960 "629 '594 Lower Secondary* cohort21960 '1'35 1‘16 Upper Secondary* cohort21960 “1'38 1'37 F-test for parent’s Schooling* cohort21960 F-statrstrc 0.77 p-value (.574) 118 Table 19 (cont’d.) Malay SRK*Malay . .482 .732 Malay SRK*Non-Malay -1.05 .773 Chinese/Tamil SRK*Non- Malay .620 1.02 SMK 1.07 .909 Urban .378 .491 Piped Water .562 .278 R-squared . 149 .238 .273 N O. of Observations 627 627 627 Notes: Missing values for parent’s schooling and community variables on are changed to zero, and a dummy variable was included for these variables to account for the missing values. 119 Years of completed schooling Years of completed schooling Figure 1. Mean Years of Schooling of Males (3-year moving averages) 11141 #141111 11 l lAlgl 11L 11 10“ 94 8T 72 6‘ 5a 44 32 2- 1— non-Malays e . AM ' E/ Malays #M 11‘ 10" 92 8“ 7_ 6—« T I l E l T I I l l I I I I I I I I I I I l I 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 birth cohort Figure 2. Mean Years of Schooling of Females (3-year moving averages) non-Malays Illllllifilllrfilllfilllrl 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 birth cohort 120 standard deviation standard deviation Figure 3. Standard Deviation in Years of Schooling of Males (3-year moving averages) 141141 lld#1111111 14411 1 non-Malays I I I I I I I I I I I I I I I I I I T l I I I 24 26 28 30 32 34 36 38 4O 42 44 46 48 50 52 54 56 58 60 62 64 66 68 birth cohort Figure 4. Standard Deviation in Years of Schooling of Females (3-year moving averages) 2 _ a 1 .5 _ ._ 1 ._.. l— T l I I I I I H I I I I I I I I I I I I I I I 24 26 28 3O 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 birth cohort 121 coefficient of variation coefficient of variation Figure 5. Coefficient of Variation in Years of Schooling of Males (3-year moving averages) 1111131111111113E114m1 1.4“ 4 non-Malays --«-.~..,;;.._ - n. . ‘.-.A...- I I I I I I I I I I I I I I I I I I I I I I I 24 26 28 3O 32 34 36 38 4O 42 44 46 48 50 52 54 56 58 60 62 64 66 68 birth cohort Figure 6. Coefficient of Variation in Years of Schooling of Females (3-year moving averages) 1.4T r 1.3‘4 L 12* _ ml t Malays 1 T / T .9“ T non-Malays I I I I I T I I I I I I I f I I j V I I I I I 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 birth cohort 122 I.‘ ' fl Cumulative percent of schooling Cumulative percent of schooling Figure 7. Lorenz Curves for Schooling by Age Group M l 1 l g l 100 80 n so 6 40 e 20 a age 55-59 0 . I I I I I I o 20 40 so 80 100 Cumulative percent of population Figure 8. Lorenz Curves for Schooling by Age and Ethnic Group 100‘” (I) O l Malays (25-29) non-Malays (25-29) 0) O l A O l ' Malays (55-59) N O l ‘ non-Malays (55-59) I I I I I I O 20 4O 60 80 1 00 Cumulative percent of population 123 Cum. °/o of schooling * mean of schooling Cum. % of eamings‘mean earnings Figure 9. Generalized Lorenz Curves for Schooling by Age and Ethnic Group Malays (25-29) non-Malays (25-29)\ I I I I 20 4O 60 80 Cumulative percent of population Figure 10. Generalized Lorenz Curves for Real Monthly Earnings by Ethnic Group in 1967-69 and 1988 l l l l 800 a 700 J 600 ~ 500 ~ 400 e 300 — 200 e 100“ non-Malays 1 988 non-Malays 1967-69 Malays 1 988 Malays 1 967-69 . "i ,- I I I I 20 4O 60 80 Cumulative percent of population 124 APPENDIX A Measurement Error in Earnings It is Observed that the residual variance Of log earnings regression of Malays were substantially higher than non-Malays for the period 1967-69. One possible reason is that there is a positive association between the length Of recall period and measurement error which is greater for Malays than non-Malays. This could be due to the fact that Malays were less educated than non-Malays during that period and therefore have a relatively higher rate of forgetting. In order to examine this relationship, a model to test whether measurement error is associated with the length Of recall period is written down below. In 13(1) — 1n Y; = m.,(r) = a0 + a,(r—r)+ (a, + fl,(r—t))e,,., (1) where suscripts i, t, 1 indicate individual i, time t and report period in year 't' (1976), Y is the observed earnings, Y* is the true earnings, m is the measurement error, on measures the systematic over-reporting or under-reporting Of retrospective earnings, [30 and B] estimates a linear trend effect of recall on measurement error in earnings that is random, t is the number retrospective years Of earnings being recalled, and 8 is the error term. an,(r+k)—ln Y; = m,,(r+k) = a0 +a,(r+k—t)+()80 + ,8,(r+k —t))e,,.,,, (2) where k = 12, since MFLS2 was surveyed in 1988. Equation (2) - (1), 1n Y,,(r+k)-ln Y},(r) = m,,(r+ k) —m,.,(r) = a,k + (,60 + fl,(r+k))-e - (:60 + flit!» ' £11.: + (—fll )Eit.r+k 't- (—fll )gitJ 't ir.r+k (3) fix Assume that 8m ~ (0, of) for all I, 8,131), ~ (0, of) for all T+k, and E(ei(,I - 81ml.) = 0, Therefore, E[m,., (7' + k) - mi, (1)] = a,k , (4) where or) may or may not depend on independent variables, X, such as race and education. Let, 60=flu+fll(‘l'+k), 6(i=.60+761(7)i an(161 z-fll' Then equation (3) can be rewritten as, In Yi,(t‘+k)-—ln 111(1) = m,,(r+k)—mi,(t') = alk +60 -8 it.r+k , (5) _ 60 ' 8171 + 61811.r+k . t — 61811.1 't Assuming (11 = 0, then E[(m,., (r + k) — m, (1))2] = ago: + (9520: + 2606,03 -z+ 2656,63 . t (6) + 6120: - 12 + 6120': -t2 = (602 + 652 )0,2 + 219l (610 + 6,303 ~t+ 28,20,2 -t2 Normalizing of =1, Equation (6) can be rewritten as, E[(m,, (r + k) - m, (1))2] = (602 + 6752) + 26,090 + 65) - r + 261,2 42 (7) Empirical Results A measure Of measurement error on earnings is Obtained by matching the retrospective earnings data from the same individual, occupation and year from the panel sample Of MFLS 1 and 2. Due to the different nature Of earnings data collected in the two waves, only those having one job are included in the sample. The sample that can be matched are 389 Observations which is about 15% of total possible matches.1 1 There is a concern that the sample used may not be representative. This is because the matching procedure restricts the sample to those who report consistent information for both waves of the survey in terms of occupation, one job only and time of recall period. Imposing such restrictions may generate a sample of respondents that is more reliable than the general population. 126 "5 Ils- .1. I Descriptive Statistics It is useful to provide some descriptive statistics on the dependent and explanatory variables used in the regression analyses Of measurement error. The definitions of the relevant variables are as follows: Simple difference in reported log earnings = ln Yif’s — ln Y"76 Difference in reported log earnings square = (In Y1,88 — ln 1376f where lnY is monthly earnings in natural log, superscript 76 and 88 indicates the survey year and subscript i and t represents individual i and time t which is the year that the earnings data are being recalled. The descriptive statistics of the relevant variables are shown in Table A1. The simple difference in reported log earnings is a measure of under-reporting or over-reporting Of earnings in 1988 assuming that the data in 1976 is more accurate because it has a shorter recall period of 12 years. It is noted that on average there is over- reporting of earnings for both Malays and non-Malays, but it is slightly higher for Malays. When computing the mean of the simple difference in reported earnings, the under-reporting and over-reporting cancels out when averaged over all respondents within each group. An indicator Of measurement error is the difference in reported log earnings square. It is Observed that the mean difference in reported log earnings square is higher for Malays than non-Malays. It is also Observed that Malays have relatively lower mean years of education than non-Malays. The mean number Of retrospective years of recall from 1976 is 17.25 years for Malays and 15.25 years for non-Malays. The earliest year of recall for earnings is 1925. 127 Zero mean in measurement error The specification in Equation (4) is applied to examine whether measurement error in earnings have a zero mean using simple difference in reported earnings as the dependent variable. The dependent variable of simple difference in reported earnings indicates over-reporting and under-reporting Of earnings. The estimates for the constant term are of interest. The results for the whole sample in Table A2 indicate that the constant term is not significant in Model 1 when the number of retrospective years2 is the only regressor. The constant term is also not significant in Model 2 when ethnicity is added. In Model 3 years of education is included as an additional control, the constant term remains insignificant. For further analysis, the separate regression results Of Malays and non-Malays are presented in Tables A3 and A4 respectively. It is interesting to note that the constant term for Malays are significant at the 1% level but insignificant for non- Malays in both Models 1 and 2. This suggests that the mean measurement error of Malays is non-zero while it is zero for non-Malays. Another question Of interest is whether the under-reporting or over-reporting of earnings is associated with ethnicity, length Of recall period and education. The estimates based on the whole sample shown indicates that ethnic dummy, years Of education, number Of recall years are not significant in explaining over-reporting or under-reporting of earnings. However, number of retrospective years is negative and significant at the 5% level for Malays, but highly insignificant for non-Malays. The negative coefficient for the number of retrospective years implies that the longer the period of recall the larger is the under-reporting of earnings for Malays. The estimated coefficient for years of education 128 .1 me_" '_ ‘ l is negative and insignificant for both Malays and non-Malays. However, the negative coefficient means that the higher the level Of education the lower is the under-reporting Of earnings. Variance in measurement error The examination Of the variance in measurement error in earnings is of particular relevance to this study. This is because it enables us to shed some light on whether the high residual variance in log earnings for Malays during the 1967-69 period is due to differences in measurement error between Malays and non-Malays. Therefore, it is of interest to find out whether the variance in measurement error in the recall of reported earnings increases faster for Malays than non-Malays. In order to do so, the regression based on the specification in Equation (7) is carried out3. Regression results with the difference in reported log earnings square as the dependent variable are shown in Table A5. Model 1 presents the linear specification for number of retrospective years and Model 2 presents the quadratic Specification for the number of retrospective years. The difference in reported log earnings square is a measure of the variance of measurement error in earnings. Based on Model 1, it is interesting to note that the estimated coefficient for the number Of retrospective years is positive and significant. This implies that the variance of measurement error is increasing and significant for both Malays and non-Malays. This finding is consistent with the hypothesis that the variance Of measurement error is positively associated with the number Of years of recall. It is also interesting to note that the number of retrospective years interacted with non-Malay 2 For ease of illustration, number of retrospective years is referred as number of retrospective years from 1976. 129 Ii 1' dummy variable is negative but insignificant. Based on the usual standard of inference, it is Observed that there is no significant difference in the rate of forgetting between Malays and non-Malays. However, from the point of view of point estimates, the rate Of forgetting Of Malays is faster than non-Malays. The magnitude of the estimated coefficient of the non-Malay interaction with the number of retrospective years (-.037) is considered large compared to the estimated coefficient of number Of retrospective years (.042). Based on the mean retrospective years Of non-Malays, it is estimated that the non- Malay interaction term reduces the measurement error variance Of non-Malays relative to Malays by .555.4 However, caution needs to be exercised when interpreting the point estimates because the estimated coefficient is extremely imprecise. The imprecise estimate could be due tO the small sample size which is unable to detect the subtle differences in measurement error between Malays and non-Malays. However, it is noteworthy that the joint F-test for number of years of retrospective recall and its interaction with non-Malay dummy variable is jointly significant in Model 1. Based on the quadratic specification for the number Of retrospective years in Model 2, it is noted that the variance of measurement error decreases initially for both Malays and non-Malays. Subsequently, the variance of measurement error increases after 10 years of recall for Malays and for non-Malays it increases after 18 years recall. This finding is puzzling and is counter-intuitive. I am not able to Offer a reasonable explanation for this result. However, this may be an area for further research and it is 3 By pooling the data of Malays and non-Malays, the regression model included the non-Malay dummy variable and its interaction with number Of retrospective years. 4 Based on the mean retrospective years of non-Malays and the estimated coefficient of number of retrospective years interacted with non-Malay dummy variable in Model 1, its estimated effect on measurement error variance equals (15*—.037) = -.555. This is quite a substantial difference between Malays and non-Malays compared to the mean difference in reported log earnings square which is .7423 (Malays) and .8865 (non-Malays). 130 suggested that a linear spline specification for the number of retrospective years may yield better results. The joint F test of the number of years Of recall and its square interacted with the non-Malay dummy variable in Model 2 is also not significant. This means that the variance of measurement error in log earnings by years Of retrospective recall are not significantly different between Malays and non-Malays. Conclusion The unique data set available from the two waves of MFLS has provided a good opportunity to examine the issue of measurement error in retrospective earnings by providing two sets of earnings data which can be matched to the same individual, job and time period. The conclusions that can be derived with regard to the mean Of measurement error is that it is not significantly different from zero for non-Malays. But it is significantly different from zero for Malays. The linear specification of number of retrospective years of recall indicates that the variance Of measurement error in log earnings is significant and positive. But the quadratic specification Of number of years of recall and its square reveals the pattern that the measurement error variance in log earnings initial decreases and then increase after a number Of years into the past is contrary to expectation. Following the statistical point Of view, the variance of measurement error in log earnings do not vary significantly by years Of retrospective recall between Malays and non-Malays. However, the point estimates of the number of retrospective years (linear specification) interacted with non-Malays suggest that the rate Of forgetting of non-Malays are substantially lower than Malays. 131 Table A1. Means and Standard Deviation of Variables Used Variables Malays Non- Total Malays Simple difference in .0535 .0073 .0324 reported log earnings (.8619) (.9442) (.8996) Difference in .7423 .8865 .8083 reported log earnings square (2.06) (2.59) (2.31) Years of education 5.84 6.67 6.22 (3.76) (4.20) (3.98) NO. of Retrospective Years 17.25 15.25 16.33 (from MFLSl in 1976) (9.02) (10.31) (9.67) No. Ofobs. 211 178 389 ' Note: standard deviations are in parentheses Table A2. Regression of simple difference in reported log earnings Model 1 Model 2 Model 3 Variable Coef. SE Coef. SE Coef. SE NO. of retrospective years -.0046 .0057 -.0559 .0912 -.0055 .0059 N on-Malay -.0049 .0057 -.0533 .0921 Years of education -.0047 .0114 Constant .1074 .0955 .1379 .0985 .1758 .1496 R-Squared .0024 .0034 .0038 N 389 389 389 Note: * significant at 10% level, ** significant at 5% level SE = robust standard errors 132 YET—”Til. Table A3. Regression of simple difference in reported log earnings of Malays Model 1 Model 2 Variable Coef. SE Coef. SE No. of retrospective years -.0154** .0089 -.0172** .0068 Years Of education -.0106 .0151 Constant .3200 *** .1492 .4132*** .2393 R-squared .0261 .0279 N 211 211 Note: * significant at 10% level, ** significant at 5% level, *** significant at 1% level SE = robust standard errors Table A4. Regression of simple difference in reported log earnings of non-Malays Model 1 Model 2 Variable Coef. SE Coef. SE NO. Of retrospective years .0047 .0089 .0043 .0093 Years Of education -.0043 .0158 Constant -.0641 .1491 -.0291 .2393 R-squared .0026 .0030 N 178 178 SE = robust standard errors 133 Table A5. Regression of difference in reported log earnings square Variable Model 1 Model 2 Coef. SE Coef. SE Non-Malay .798* .458 .752 .619 NO. Of retrospective years .042** .017 -.062 .050 NO. Of retrospective years*non-Malay -.037 .029 -.031 .077 No. of retrospective years square .003* .0018 NO. Of retrospective years square*non-Malay -.0004 .0022 Constant .020* .256 .640** .268 Joint F-test: no. Of retrospective years and non- Malay interaction terms F statistic 3.01 3.16 p-value (.050) (.014) Joint F-test: non-Malay interaction terms only F statistic 1.12 p-value (.327) R-square .0156 .0338 N 389 389 Notes: * significant at 10% level, ** significant at 5% level,*** significant at 1% level SE = robust standard errors 134 APPENDIX B Table Bl. Log Monthly Earnings Regressions of Malay Males Age 20-34 in 1967-69, 1976 and 1988 (include occupation variables) 1967-69 1976 1988 Variable Coef. SE Coef. SE Coef. SE Schoohng: 1-3 years - .388 .199 -.192 .247 .098 .173 4-5 years - .393 .191 .151 .221 .299 .176 6 years — .138 .180 .120 .212 .157 .149 7 — 9 years .100 .258 .420 .262 .238 .147 10 —12 years .344 .315 .680 .289 .366 .147 >=13 years .368 .426 1.29 .390 .599 .155 Age -.034 . 170 -.039 . 186 . 179 .054 Age Squared .0013 .0031 .0013 .0033 -.0022 .0009 1968 -.316 .124 1969 .039 .114 number ofjobs .012 .124 .1 19 .088 Managers .835 .284 .828 .273 .822 .073 Clerical .748 .305 .762 .237 .597 .067 Sales .418 .243 .367 .180 .434 .070 Service .484 .213 .499 .293 .638 .052 Production .434 .220 .393 .188 .371 .060 Transport .475 . 147 .501 .172 .476 .058 Laborer .289 .355 .288 .315 .256 .073 Constant 5.45 2.30 5.04 2.59 1.94 .741 N 220 160 1068 R-squared .393 .555 .438 Variance (Log Y) .704 .553 .466 Explained Variance .277 .307 .204 Residual Variance .427 .246 .262 135 APPENDIX C Table C1. Log Monthly Earnings Regressions of Malay Males Age 35-54 in 1967-69, 1976 and 1988 (include occupation variables) 1967-69 1988 Variable Coef. SE Coef. SE Coef. SE Schoohng: 1-3 years .378 .206 -.065 .134 .098 .088 4-5 years .802 .196 .312 .127 . 174 .086 6 years .252 .257 .044 .141 .241 .076 7 - 9 years .103 .503 .713 .235 .343 .090 10 -12 years .481 .463 .563 .267 .718 .100 >=13 years 1.31 .975 .746 .526 1.44 .125 Age -.160 .280 .167 .128 .086 .060 Age Squared .0014 .0032 .0020 .0015 -.0009 .0007 1968 -.049 .179 1969 . 169 .183 number of jobs .024 .177 -.062 .082 Managers 1.22 .370 1.20 .239 .787 .092 Clerical .692 .459 .572 .307 .710 .097 Sales .955 .309 .761 .184 .210 .079 Service .936 .306 .745 . 195 .55 3 .063 Production .563 .414 .593 .202 .478 .089 Transport .699 .207 .521 .1 17 .377 .062 Laborer -.615 .428 -.331 .273 . 174 .095 Constant 8.54 6.02 1.94 2.78 3.49 1.29 N 158 249 963 R-squared .405 .424 .459 Variance (Log Y) 1.14 .673 .647 Explained Variance .462 .286 .297 Residual Variance .678 .387 .350 136 IIIIIIIIIIIIIIIIIIIIIIIIIIIIII IIIIIIII IIIIIIIIIIIIOIIIIOIIIBI IjIIIIIIIIIII IIII