Work in progress – comments welcome 8/1/2012 Intergenerational Transmission of Education in Brazil: Has Inequality Decreased? Letícia Marteleto Population Studies Center and Dept. of Sociology University of Michigan [email protected] April 2001 Abstract: This paper focuses on educational attainment for cohorts of children born pre- and post- Demographic Transition in Brazil. Using a nationally representative data set, this paper examines the cohort effects of socio-economic and demographic changes of the last three decades on inequality in intergenerational transmission of education in Brazil on national and regional levels. Results from the PNAD suggest that the curve of the relationship between mothers’ education and children’s schooling is flattening. This is true for Brazil as a whole, as well as for the Southeast and Northeast regions, which are marked by large socio-economic and demographic disparities. Despite mothers’ low levels of education, children in younger cohorts have an educational advantage compared to their older cohort counterparts. The strength of the inequality on the intergenerational transmission of education has decreased within and across cohorts, but still remains strong, particularly across regions. *Paper submitted to be considered for presentation at the Annual Meetings of Anpocs. An earlier versions of this paper was presented at the 2001 Annual Meetings of the Population Association of America, Washington D.C. During the different stages of this research, support was provided by CAPES Foundation, the Population Council, Spencer and Mellon Foundations. I would like to thank David Lam, Rachel Lucas, Pamela Smock and Yu Xie for helpful comments. Please send correspondence to [email protected]. 1 Work in progress – comments welcome 8/1/2012 Introduction The purpose of this paper is to examine the trend of the effects of social origin on children’s education across cohorts separated by two decades of profound demographic and socio-economic change in Brazil. In the context of declining fertility that resulted in long-term modifications in the population age structure, I attempt to assess whether Brazil has become a more meritocratic society with respect to its educational distribution. The adjustment of individuals and social and educational institutions to the changing composition of dependent groups resulted from the demographic transition has potentially altered Brazil’s unequal educational distribution. The question of whether the country’s educational system has shown improvements related to demographic change have potential lessons for other developing countries that have experienced fertility decline. Nonetheless, Brazil presents a unique setting for this study because of its poor educational performance. The country has shown consistent high levels of educational inequality and low levels of schooling. In order to assess whether the demographic change has affected Brazil’s distribution of education across generations, I first focus on how such low levels of educational attainment are generated within cohorts. Studies in several countries have shown that individuals’ educational attainment is highly correlated with their parents’ socio-economic background (Mare 1979, 1981; Featherman and Hauser 1975; in Brazil, Barros and Lam 1996; Lam and Levison 1991). Children whose parents have low levels of education tend to get less education themselves, reinforcing existing inequality across generations. In addition to intergenerational transmission of education, this paper also focuses on another central aspects of educational inequality in Brazil: regional inequalities. 2 Work in progress – comments welcome 8/1/2012 As in several other countries, education is the focus of attention because of its potential to reduce inequality in the present and in the next generation. Brazil’s unequal distribution of education, both in terms of quantity and quality, is believed as contributing to inequality in labor market earnings, and is also viewed as playing an important role in the intergenerational transmission of inequality (Lam and Levison 1991; Barros and Lam 1996; Levison 1991; Duryea 1997; Lam 1999). In such a context of high income and educational inequality, the benefits education generates will be unequally distributed throughout the population. In this paper I assess the role that mother’s education has played on children’s educational attainment and school enrollment for cohorts born in 1963 and 1983, that is, in Brazil’s pre- and post- Demographic Transition. The structure of this paper Theoretical Framework A process of educational expansion has recently been documented throughout the world (Shavit and Blossfeld 1993). From one cohort to another, larger proportions of children from all social strata have been enabled to attend school (Meyer et al. 1977). Still, children’s educational prospects are found to strongly interact with parental education in several countries (Featherman and Hauser 1975; Shavit and Blossfeld 1993). Despite increasing access to education, and therefore decreasing inequality in educational distribution, empirical studies on educational stratification in different countries have found a persistent stability of the effects of parents’ socio-economic background on children’s educational attainment (Blossfeld and Shavit 1993; Featherman and Hauser 1975; Mare 1980). The economics and sociology literatures provide theoretical frameworks for the strong relationship between parents and children’s educational attainment. The theoretical foundation of the economics literature on educational outcomes is a utility function in which the costs and 3 Work in progress – comments welcome 8/1/2012 benefits of education are compared. Families and students compare the costs and benefits of attending school against the costs of nonattendance. Direct costs are tuition, fees, books, supplies, transportation and lodging expenses. The opportunity cost of not working is also considered within the human capital theory framework. When an individual is in school, his/her earnings are usually less than if s/he was not in school since s/he can not work as much or as regularly as if s/he was not in school. The benefits of education are higher wages and quality of life outcomes such as lower infant mortality rates, longer life expectancy, etc. Most investments in human capital, such as formal education, raise observed earnings at older ages, the expected return to education. In the short run, the difference between what could have been and what is earned is an indirect cost of schooling (Becker 1964). Manski and Wise (1983) state that the decision to enroll in school and achieve a certain educational level is the result of student and family’s perceptions of the costs and benefits of education. Quantity and quality of schooling therefore depend in large measure on the advantages or disadvantages parents confer on their children. In such a framework, the utility function of parents with distinct levels of education is different. The sociology literature adds the roles of norms and expectations to this basic framework. The cultural capital theory, first advanced by Bourdieu and Passeron (1964; 1977), contends that the key component of this strong association of parents’ education and children’s education is that children from families with low levels of parental education are likely to lack those abilities - norms and expectations - normally transmitted by the family and valued by schools. Those abilities are broadly defined as cultural resources, societal values such as good manners and social skills, and language skills. This idea reinforces the pattern of 4 Work in progress – comments welcome 8/1/2012 school selection, which favors children from families that already possess dominant cultural advantages. Empirical studies in Brazil confirm that the educational prospects of children are closely related to their social origin, specifically parents’ education (Barros and Lam 1996; Lam and Levison 1991). Schooling plays a key role in maintaining social inequality from one generation to the other in Brazil. While past work has examined the extent of inequalities in intergenerational distribution of education in one point in time, no study has examined how patterns on these trends have operated across cohorts. In particular, no study has addressed whether cohorts of children separated by a period of enormous socio-economic and demographic change have fared differently in terms of their education. Economic growth and demographic changes shape the macro conditions in which educational inequalities take place. These changes may have affected parental and children decision-making about children’s educational attainment and school enrollment. In this paper, I examine whether the trend towards increasing children’s educational attainment and school enrollment have translated into a more equal educational distribution in order to address the question of whether Brazil has become a more meritocratic society. The spread of children’s educational attainment and school enrollment altered over the last two decades, as documented in Paper 3, but did it eliminate a strong pattern of educational inequality, namely the strong association between mother’s education and children’s schooling outcomes? There are theoretical reasons to believe that Brazil has become a more meritocratic society in its educational distribution. Proponents of classical modernization theory of educational attainment state that more schooling is a result of societies becoming industrial and modern, which translates into decreasing levels of educational inequality (Parsons 1970; 5 Work in progress – comments welcome 8/1/2012 Treiman 1970). According to this perspective, the educational system expands in response to the functional requirements of an industrial society in which education plays an increasing role. Because of contextual particularities of the Brazilian development process, the trend on educational attainment may not conform to classical modernization theory of educational attainment. The development trend in Brazil has been toward more reliance on the resources of individual households and less on public social services and social programs. This type of development is likely to further improvements on children’s education, but it is also likely to result in much less improvement in the schooling attainment of children at the bottom of the socio-economic distribution, which may contribute to perpetuating educational inequality. The major shifts in the Brazilian demographic patterns that have occurred over the last decades may also have affected the country’s educational stratification. Brazil underwent the Demographic Transition in the 1970s. Decreasing rates of population growth and declines in relative cohort sizes resulting from secular declines in birth rates are components of such a transition that have potentially affected the level of schooling inequality in the population. Social mobility occurs within a demographic context and the evolution and transformation of educational hierarchies is the joint outcome of demographic processes, intergenerational transmission, and opportunity structure (Mare 1995). Basic demographic trends, such as changing population age structure, may have unanticipated consequences for the process of educational stratification. At the elementary and secondary levels, rates of school enrollment would increase with lower rates of population growth, so that demand for education at these levels would closely parallel future trends in the population aged 6-17 (Serow and Espenshade 1978). An additional consequence of slowing population growth is that the quality of 6 Work in progress – comments welcome 8/1/2012 education can rise – quality as measured by constant resources invested per student (Serow and Espenshade 1978). The resulting smaller proportions of primary school age groups relative to the total population may create favorable demographic conditions, a “window of opportunity”, for benefiting countries with poor basic educational systems and high levels of educational inequality as Brazil (Carvalho and Wong 1995). Conceptualizing birth cohort as an important determinant of well-being (Easterlin 1980), this paper addresses the question of whether the advantageous demographic conditions for children born after the Demographic Transition, as opposed to prior, alleviated educational inequality for recent cohorts. Comprehensive analysis under this framework to examine changes in educational structure will inform policy makers to better serve their communities as they face unprecedented smaller demands of students in primary school, a “window of opportunity” for alleviating educational inequality. In contradiction to Modern Theories of Educational distribution, the maximally maintained inequality hypothesis developed by Hout, Raftery, and Bell (1993) states that the effects of social origin on education transitions remain the same from one cohort to another despite macro changes, except if forced to change by increasing school enrollment. Unless school enrollment becomes universal, the effect of social origin on schooling remains strong. Another feature of the country’s unequal educational structure is regional inequalities, especially between the Northeast and Southeast. These regions are enormously different in terms of socio-economic characteristics and demographic indicators as the densely populated Southeast exhibits demographic indicators that resemble the ones of developed countries, while birth and infant mortality rates are generally higher in the Northeast, as discussed in 7 Work in progress – comments welcome 8/1/2012 Paper 2. These large differences on socio-economic indicators have been stable across time, and are likely to reflect a very unequal regional allocation of the limited Brazilian investments in education (Barros and Lam 1996). Educational attainment is a characteristic that individuals accumulate and carry throughout their lives, while school enrollment is an activity and a component of eventual educational attainment (Mare 1995). Increased rates of school enrollment reflect increasing rates of educational attainment continuation. School enrollment is the current rate at which schooling is produced in the population. Because of the differences on current status and accumulation between enrollment and attainment, and also because of the high disparities between these two measures in Brazil (Lam and Marteleto 2000), this paper will encompass school enrollment and educational attainment separately. Research Questions In this paper, I will address the questions: 1. Has the effect of social background – measured by mother’s education -- on educational attainment and school enrollment diminished for the smaller cohorts of the post fertility decline? In other words, has Brazil become a more meritocratic society since going through the Demographic Transition? I will then assess these regional inequalities on Brazil’s educational distribution. 2. Are the effects of mother’s education on child’s schooling different in the Southeast and Northeast regions of Brazil? Do these effects follow Brazil’s pattern? Have these effects changed for cohorts within such different regions? 8 Work in progress – comments welcome 8/1/2012 Methods In order to address these questions I estimate models of educational attainment and school enrollment for children in the cohorts of 1963 and 1983 that focus on the impact of mother’s education on children’s schooling in Brazil. I address the strength of intergenerational transmission of education across cohorts and regional inequalities by estimating separate models by cohort and region in addition to models for the country as a whole. I will first model years of school attainment by estimating equation (1) using ordinary least square regressions: (1) S i a bM i cDi ei where Si equals the years of schooling for 14 year-old i; M i is a set of dummy variables indicating mother’s educational attainment; D i is a vector of demographic and residence characteristics, and e i is a normally distributed error term. The sets of regressions will consist of separate models for the cohorts of 1963 and 1983 for the whole country, Northeast and Southeast. The usual controls used in models of children’s educational outcomes such as sex, rural versus urban location, family income, and region of residence are also included in the models along with mother’s education, the central piece of the analysis. Next, I will discuss the data used for this study and describe the analytical sample. Description of Data and Analytical Sample In this paper, I will use data from the 1977 and 1997 Pesquisa Nacional por Amostra de Domicílios/PNAD (National Research of Household Sample), annual household surveys conducted by the Instituto Brasileiro de Geografia e Estatística (IBGE), the Brazilian 9 Work in progress – comments welcome 8/1/2012 statistical bureau. The PNAD is comparable with the U.S. Current Population Survey (CPS), and is implemented in September of each year. The PNAD is a nationally representative survey of extremely good quality. For 1977, the PNAD contains 498,679 individuals in 100,039 households, compared to 365,870 individuals in 89,939 households in 1997. The large sample permits sufficient sub-sample sizes for analysis of specific groups, such as 14 year-olds. For 1977, there are 12,834 14 year-olds in the sample, compared to 7,861 14-year-olds in 1997. The educational experiences of children at different ages are sufficiently diverse that it is sensible that they are analyzed separately (Mare 1993). I have chosen 14 year-olds because this is the eldest age until school enrollment is legally required in Brazil. This is an ideal age for this analysis also because children who have been successful in school should be making a transition from primary to secondary education at 14 years-old. Because the substantive aim is to compare the experience of different cohorts born before and after crucial socio-economic and demographic changes, throughout the analysis I will refer to cohorts of children and not to the years of the survey. Data from 14 year-olds in the 1963 cohort come from the 1977 PNAD, while data from 14 year-olds in the 1983 cohort come from the 1997 PNAD. The PNAD is appropriate for this study because it contains standard demographic and socio-economic variables such as sex, age, income, and schooling for all members of the household. The PNAD provides a complete distribution of single years of schooling. Mothers’ years of education will be grouped at Grade 12 and over (at least one university year or more) in the analysis. Another feature of the PNAD that makes it suitable for this study is that the repeated cross-sections allow for the construction of true cohort histories for schooling and other social, economic and demographic variables. Data from 1977 and 1997 are 10 Work in progress – comments welcome 8/1/2012 comparable, with the exception of a few discrepancies. Information on race and ethnicity was not collected in the 1977 PNAD making it impossible to compare ethnic distributions by the selected cohorts. Also note that the PNAD does not cover the rural part of the Northern region in 1977 nor in 1997. This probably overestimates the educational and socio-economic statistics of the Northern region. Because I want to look at the effects of mothers’ education on children’s education I have to limit the analytical sample to children who are daughters or sons of the head of the family, i.e., the ones whose mothers can be identified. This creates a selection bias. Children who are not daughters or sons of the head of the family may be significantly different from the full sample of 14 year-olds. Table 1 shows the socio-economic characteristics used in the analytical models for the full sample and for children of the head of the family in the 1963 and 1983 cohorts. This provides evidence on the extent of selection bias. About 9 in 10 children in both cohorts live with at least one of their parents. Children of the head of the family are not significantly different from the full sample of children on their distribution across rural/urban location, family income, region or gender. Comparisons of these groups on school enrollment and years of education by selected characteristics are provided in Tables x and y of the appendix. There are no notable differences on enrollment rates nor on educational attainment among the full and restricted samples. Because the majority of 14 years-olds live with at least one of their parents, and also because children of the head of the family are not different from all children there does not appear to be a severe selection bias. Further descriptions of the analytical sample that are provided in table 1 are noteworthy. Columns 2 and 4 provide comparisons of the distribution of 1963 and 1983 11 Work in progress – comments welcome 8/1/2012 cohorts across socio-economic characteristics. The general life conditions of these cohorts are somewhat different. Almost two thirds of 14 year-olds born in 1963 live in urban areas (67%) compared to nearly four fifths of 14 year-olds born in 1983 (78%). Brazil’s increased urbanization across the 1960s and 1970s suggests changes in the overall value of children and therefore on their educational outcomes. With regards to regional distribution, about 3 in 4 children in both cohorts were living in the Southeast and Northeast together. The majority of Brazilian children live in these regions, reinforcing the importance of studying Brazil’s Northeast and Southeast separately. The distribution of children by mother’s education has changed dramatically across cohorts. The mothers of about 4 in 10 children born in 1963 have no education. Among children born in 1983, 2 in 10 have mothers without any formal training, half of what was found for the 1963 cohort. Nearly seven times more children have mothers who attended at least one year of university in the younger than in the older cohort. Table 2 provides means and standard deviations for the analytical sample by cohort. It is worth mentioning that the mean years of mother’s education has nearly doubled over the twenty years of profound demographic and socio-economic change that separate this study’s cohorts. Mother’s education went from 2.6 in the older cohort to 5.0 in the younger cohort. The proportion of 14 year-olds enrolled in school is higher for the younger than for the older cohorts. Similarly, educational attainment of young people in Brazil has increased dramatically in the last twenty years. The average education of 14 year-olds grew from 3.4 for the cohort born in 1963 to 4.7 for the younger cohort. The significant improvement of mothers’ education may have contributed to the non-trivial increase of 1.3 years of education. It may also be that the magnitude of these improvements in educational outcomes is different 12 Work in progress – comments welcome 8/1/2012 for specific groups. In order to elucidate that, in the next section I will provide results on educational outcomes by selected socio-economic variables. Results Table 3 provides overall enrollment rate and schooling attainment, as well as the distribution of these educational measures by socio-economic characteristics separately by cohort. I will first discuss the distribution of enrollment rates and schooling attainment of 14 year-olds across their socio-economic characteristics. Next, I will compare these distributions by cohort. Table 3 demonstrates Brazil’s regional disparities. Columns 1 and 2 show that the Northeast presents the lowest schooling averages for both older and younger cohorts. In contrast, the Southeast presents the highest schooling levels for both cohorts. Brazil’s regional disparities on schooling attainment are decreasing, but remain large. Columns 1 and 2 also show that, among the older cohort, children in the Northeast had on average 2 fewer years of schooling than their counterparts in the Southeast. Among children in the younger cohort, those in the Northeast had on average 1.92 fewer years of schooling than those in the Southeast. In the older cohort, Northeast children had 52% less education than their Southeast counterparts, while in the younger cohort Northeast children had on average 35% less education than those in the Southeast. Even though the Northeast shows the lowest level of educational attainment in the country, the rates of school enrollment for both cohorts are not substantially lower for the Northeast as compared with the Southeast. This indicates that school enrollment is not necessarily translated into educational attainment in Brazil, reinforcing the role of grade retention and school drop-out (Lam and Marteleto 2000). 13 Work in progress – comments welcome 8/1/2012 Most interestingly are gender differences in levels of school enrollment and attainment across and within cohorts. Table 3 shows that, among the older cohort, 78% of boys are enrolled in school compared to 72% of girls. The trend of higher school enrollment for boys is reversed in the younger cohort: 90% of girls are enrolled in school compared to 81% of boys. It is interesting that, in the older cohort, even though boys are enrolled in school at higher rates than girls, girls have on average more years of schooling than boys. The trend of girls’ higher levels of schooling remains in the younger cohort. The recent pattern of girls’ higher levels of both educational attainment and school enrollment in detriment of boys is remarkably different from findings in other developing countries (Hannum 1997; Mensch and Lloyd 1998) and are in concordance with findings in Brazil (Dureya and Arends-Kuenning 1999). There are also striking differences on children’s school enrollment and educational attainment by their mother’s educational levels within and across cohorts. The first two columns of Table 3 show that children have on average more years of schooling as their mothers have higher levels of education. The last two columns provide further evidence of the strong association of mother’s education and children’s educational outcomes. Among both cohorts, the proportion of children enrolled in school increases as mother’s education rises. The positive association between mother’s education and children’s educational attainment and school enrollment was expected and is robust across cohorts. These results suggest that there still exists an effect of mother’s education in determining children’s schooling. But has the penalty of having a mother with little or no education versus high levels of education diminished across cohorts? In this paper, I am particularly interested in whether the substantial improvement in mother’s educational attainment over the last two decades explains the large cohort differentials on children’s educational attainment. In the next section, I 14 Work in progress – comments welcome 8/1/2012 attempt to address these questions in order to assess whether Brazil has become a more meritocratic society with regards to educational distribution. Brazil: Cohort Results Table 4 provides the coefficients and standard errors of OLS regressions of children’s educational attainment on mother’s education and selected socio-economic characteristics for cohorts of 14 year-olds born in 1963 and 1983, for the whole country1. Nested models were estimated but are not shown. Results in Table 4 show that children’s education is highly determined by the educational attainment of children’s parents in Brazil. Even though children from both cohorts were penalized for having mothers with low levels of education, such a penalty has decreased for the younger cohort when compared with the older cohort. For example, Table 4 reveals that a 14 year-old born in 1963 had on average .486 more years of schooling if his/her mother had 1 year of education instead of no education. In the 1983 cohort the increase in schooling from children whose mothers had zero to one years of education was only .23 years of schooling. This shows that, on average, children in the younger cohort suffer a smaller penalty for having a mother with low levels of education than did children in the older cohort. The significance of the differences in the coefficients of mother’s education between the cohorts was statistically tested using an F-test. The data for the two cohorts was pooled and interactions between mother’s education and cohort were added to the model (not shown). 1 I have specified mother’s education in the models of children’s educational attainment in several ways: Linear, dummy variables grouped according to the four major educational categories – no education, primary, secondary, university or more – and dummy variables for each additional year of education until 15, with zero as omitted category. The most flexible model, fifteen dummy variables, achieved the smallest chi-square and it is the model that is shown. 15 Work in progress – comments welcome 8/1/2012 The hypothesis of no difference between the coefficients was rejected at the .001 significance level. A strong component of educational inequality, the strength of the intergenerational transmission of education, has decreased in Brazil. Figure 1 shows the mean schooling of 14 year-olds across cohorts by years of mothers’ education. This Figure demonstrates that the difference in schooling between children whose mothers completed secondary education (11 years of education) versus no education is about 4 years for the 1963 cohort. This difference decreased to 3 years of schooling for the 1983 cohort. This finding suggests that the gap in the intergenerational transmission of education has declined in Brazil. Translating the results to predicted probabilities also provides an intuitive illustration of the trends in educational attainment and school enrollment across cohorts and levels of mother’s education. Figure 2 shows predicted probabilities of years of schooling for separate cohorts by mother’s educational attainment, controlling for selected socio-economic characteristics. This Figure indicates that, for example, a 14 year-old born in 1963 whose mother had no education had on average 2.1 years of schooling, while a 14 year-old in the same conditions born in 1983 had on average 3.0 years of schooling. The penalty on schooling of having a mother with low levels of education is smaller for children in the younger cohort than for the older cohort. As education expands -- higher proportions of children attending school and attaining higher levels of schooling -- the curve of the relationship of mother’s education and child’s schooling is flattening. This reinforces the finding that children in younger cohorts are not being penalized as much as they were in the past on their own educational attainment because 16 Work in progress – comments welcome 8/1/2012 of their mothers educational attainment. The strength of the inequality on the intergenerational transmission of education has decreased within and across cohorts. It is also worth noting that children living in rural areas presented significantly lower levels of educational attainment than children living in urban areas in the older cohort. However, this penalty was significantly reduced for the younger cohort: While in the older cohort children in rural areas had 1.15 fewer years of schooling than children in urban areas, in the younger cohort, this penalty was reduced to less .62 years of schooling. The significant improvements Brazil has been through in the past decades certainly contributed to the decrease in the educational penalty for children in rural areas. Information on number and quality of schools in rural and urban areas would complement analyses to the level of educational supply. These findings show that Brazil as a whole is becoming a more meritocratic society with respect to educational distribution, although the strength of inequality from intergenerational transmission of education still persists for young cohorts of postdemographic transition. But have the levels of educational inequality decreased evenly across cohorts in the extremely different Northeast and Southeast or is regional inequality another component of Brazil’s unequal society? In order to address this question, I estimate models similar to the ones showed for the Northeast and Southeast regions separately. The principal reason for a regional analysis is the large differences in socio-economic and demographic figures in the Northeast and Southeast, and the fact that the pace and onset of fertility decline was significantly different in these regions (Wood and Carvalho 1988). Because fertility rates differ widely among regions in Brazil these localities may show different educational experiences as Brazil approached lower fertility levels. 17 Work in progress – comments welcome 8/1/2012 Regional Differences on Mother’s Education and Child’s Schooling In order to ease the regional comparisons of the models across cohorts, Table 5 shows models of schooling attainment by region and cohort separately. Tables 7 and 8 provide results of decompositions of children’s schooling by cohort and region. The regional decompositions of school attainment show that if children in the Northeast had the mothers of the Southeast – with greater levels of educational attainment – they would have higher levels of schooling in both cohorts, but not exactly the same. Nonetheless, mother’s education accounts for a high proportion of the regional difference in both cohorts. This finding provides evidence that children in the Northeast are behind on their educational attainment mainly because of their mothers’ low levels of schooling, and also because of structural factors such as the conditions of the region and schools, even though these processes are intrinsically related. This finding confirms, at the educational level, the high levels of regional inequalities of the country. The difference between the actual and estimated schooling for Northeast children is 1.71 in the older cohort and 1.40 in the younger cohort. These numbers show that the difference persists across cohorts. These results also show that Brazil presents a complicated situation in terms of inequality as intergenerational transmission of education and regional inequalities interact. Conclusions To summarize, three important findings emerge: First, educational attainment has increased for more recent cohorts of Brazilian children. This is true for the Southeast, the Northeast, and Brazil as a whole. As education expands -- higher proportions of children attending school and attaining higher levels of schooling -- the curve of the relationship of 18 Work in progress – comments welcome 8/1/2012 mother’s education and child’s schooling is flattening. Children in younger cohorts are not being penalized as much as they were in the past on their own educational attainment because of their mothers low levels of educational attainment. The strength of the inequality on the intergenerational transmission of education has decreased within and across cohorts. Second, cohort decompositions show that the increase in schooling stems from the changing distribution of mother’s educational attainment across children’s cohorts, as well as from modifications in the effect of mother’s education on children’s education itself. The effect of mother’s education on children’s schooling has decreased for the younger cohort. This shows that educational distribution has become more equal in Brazil. The strength of the unequal intergenerational transmission of education has declined. However, the association still remains strong. Third, results from the regional analyses demonstrate that the effect of mother’s education on children’s schooling is stronger in the Northeast than in the Southeast, confirming the high regional inequalities of the country at the educational level. The regional decompositions show that children in the Northeast are behind in terms of educational attainment to a large extent because of their mothers’ lower levels of education. As Brazil underwent socio-economic and demographic changes in the last twenty years, the country still presents persistent high levels of inequality on intergenerational transmission of education, as well as extreme regional inequalities. 19 Work in progress – comments welcome 8/1/2012 Reference List (incomplete) Barros, Ricardo and David Lam. "Income and Education Inequality and Children's Schooling Attainment." Opportunity Foregone: Education, Growth, and Inequality in Brazil. Nancy Birdsall and Richard Sabot. Washington, D.C.: Inter-American Development Bank, 1996. Birdsall, Nancy and Richard Sabot. 1996. Opportunity Foregone: Education in Brazil. Washington, D.C.: Inter-American Development Bank. Deaton, Angus. The Analysis of Household Surveys: A Microeconometric Approach to Development Policy. Baltimore: Johns Hopkins University Press, 1997. Duryea, Suzanne and Miguel Skézely. 2000. A Micro-Macro Approach. Unpublished Manuscript. Filmer, Deon and Lant Prichett. "The Effect of Household Wealth on Educational Attainment: Evidence From 35 Countries." Population and Development Review 25, no. 1 (1999): 85-120. Featherman, David and Robert Hauser. 1975. Changes in the socioeconomic stratification of the races, 1962-1973. Madison: University of Wisconsin Press. Harbison, Ralph and Eric Hanushek. Educational Performance of the Poor: Lessons From Rural Northeast Brazil. Oxford: Oxford University Press, 1992. Hernandez, Donald J. America's Children: Resources From Family, Government, and the Economy. New York: Russell Sage Foundation, 1993. IBGE. Indicadores Socias: Uma Analise Da Decada De 80. Rio de Janeiro: 1995. Lam, David and Deborah Levison. Declining inequality in schooling in Brazil and its effects on inequality in earnings. Journal of Development Economics 37:199-225, 1991. Lam, David and Suzanne Duryea. "Effects of Schooling on Fertility, Labor Supply, and Investment in Children With Evidence From Brazil." Journal of Human Resources, 1999. Lam, David. 1999. “Generating Extreme Inequality: Schooling, Earnings, and Intergenerational Transmission of Human Capital in South Africa and Brazil.” Population Studies Center, University of Michigan, Research Report 99-439. Lam, David and Letícia Marteleto. “Grade repetition, School Enrollment, and Economic Shocks in Brazil.” Paper presented at the 2000 PAA Meeting, Los Angeles, 23-25 March. 2000. Levison, Deborah. 1991. "Children's Labor Force Participation and Schooling in Brazil." The University of Michigan. 20 Work in progress – comments welcome 8/1/2012 Mare, Robert. 1997. “Differential fertility, intergenerational educational mobility, and racial inequality.” Social Science Research 26:263-91. _____ . 1996. “Demography and the Evolution of Educational Inequality.” In James Baron, David Grusky, and Donald Treiman (Eds.). Social Differentiation and Social Inequality: Essays in Honor of John C. Pock. Boulder, CO: Westview Press Martine, George. 1996. "Brazil's Fertility Decline, 1965-95: A Fresh Look at Key Factors." Population and Development Review 22, no. 1 pp. 47-75. Mendes, Marcia Martins and Dias Vera Regina. 1995. "Implicacoes Da Dinâmica Demográfica Sobre o Sistema Educacional.” Rio de Janeiro, RJ: IBGE. Plank, David N. 1996. The Means of Our Salvation: Public Education in Brazil, 1930-1995. Oxford: WestviewPress. Wood, Charles and Jose Alberto Magno de Carvalho. 1988. The Demography of Inequality in Brazil. Cambridge: Cambridge University Press. 21 Work in progress – comments welcome 8/1/2012 Table 1. Socio-Economic Characteristics of 14 Year-Olds [%] Cohorts of 1963 and 1983, Brazil Cohort of 1963 Cohort of 1983 All Children of All Children of Children the Head Children the Head Rural/Urban Location Urban 63.59 62.71 77.92 77.76 Rural 36.41 37.29 22.08 22.24 Region Southeast = 0 42.13 42.79 40.09 40.96 North = 1 2.24 2.01 5.76 5.51 Northeast = 2 32.40 31.40 33.14 32.13 South = 3 19.65 20.38 14.32 14.61 Central = 4 3.58 3.42 6.69 6.78 Gender Male 49.37 50.77 49.56 50.60 Female 50.63 49.23 50.44 49.40 Mother’s Education No Education (0) N/A 36.94 N/A 19.43 Attended First Primary (1-4) N/A 47.08 N/A 38.72 Attended Second Primary (5-8) N/A 11.33 N/A 22.81 Attended High School (9-11) N/A 3.26 N/A 11.72 Attended University or more (12+) N/A 1.37 N/A 7.30 Family Income (Quintiles) First Quintile 16.24 15.83 20.06 19.53 Second Quintile 19.16 19.27 21.90 21.52 Third Quintile 22.01 22.49 19.24 19.22 Fourth Quintile 23.83 24.23 20.37 20.64 Fifth Quintile 18.76 18.18 18.43 19.09 [N] 12,834 11,269 7,861 7,131 Source: PNADs 1977, 1997. Table 2. Summary Statistics for Outcome and Explanatory Variables Cohorts of 14 Year-olds born in 1963 and 1983, Brazil Cohort of 1963 Cohort of 1983 Mean Std. Dev. Mean Std. Dev. Enrollment Years of Schooling Rural/Urban Location Region Gender Mother’s Education Family Income [N] 3.42 .37 1.40 .49 2.61 5949.23 7,162 2.32 .48 1.31 .50 2.94 15053.31 4.74 .22 1.41 .49 4.97 887.41 6,672 2.12 .41 1.33 .50 4.21 1300.65 Source: PNADs 1977, 1997. 22 Work in progress – comments welcome 8/1/2012 Table 3. School Enrollment and Schooling by Socio-Economic Characteristics Cohorts of 14 Year-olds born in 1963 and 1983, Brazil Mean Years of Enrollment Rates Schooling [%] Cohort of Cohort of Cohort of Cohort of 1963 1983 1963 1983 Enrolled in School 75.00 88.68 Educational Attainment 3.40 4.72 Rural/Urban Location Urban 16 5.09 83.59 90.98 Rural 2.14 3.44 75.75 80.66 Region Southeast 14 5.41 75.96 90.68 North 3.42 4.03 94.97 89.69 Northeast 1.98 3.49 83.59 86.12 South 4.01 5.64 58.91 88.45 Central 3.81 4.96 87.80 88.47 Gender Male 3.19 4.39 77.67 86.96 Female 3.62 5.05 72.38 90.45 Mother’s Education No Education (0) 2.13 2.91 66.19 76.35 Attended First Primary (1-4) 3.80 4.55 75.29 87.01 Attended Second Primary (5-8) 5.00 5.31 89.91 94.88 Attended High School (9-11) 5.81 6.13 97.69 98.23 Attended University or more (12+) 6.37 6.58 100.00 99.40 Family Income (Quintiles) First Quintile 1.86 3.24 68.96 81.83 Second Quintile 2.47 3.98 68.05 83.32 Third Quintile 3.28 4.74 70.57 87.59 Fourth Quintile 4.02 5.52 75.65 93.42 Fifth Quintile 5.09 6.20 88.83 97.52 [N] 7,162 6,672 7,162 6,672 Source: PNADs 1977, 1997 23 Work in progress – comments welcome 8/1/2012 Table 4. OLS Regression Results School Attainment - Cohorts of 14 Year-olds born in 1963 and 1983, Brazil Cohort of 1963 Cohort of 1983 Coef. Std.Error Coef. Std.Error Mother’s Education (no education omitted) One .486*** .094 .232*** .114 Two .857*** .071 .587*** .084 Three .999*** .067 .618*** .078 Four 1.329*** .063 1.087*** .064 Five 1.602*** .095 .915 *** .083 Six 2.868*** .173 1.136*** .111 Seven 1.928*** .199 1.342*** .117 Eight 1.928*** .128 1.412*** .085 Nine 1.292*** .369 1.630 *** .197 Ten 2.327*** .301 1.774*** .164 Eleven 2.318*** .141 1.749*** .080 Twelve or + 2.434*** .183 1.807*** .187 Rural=1 -.993*** .049 -.449*** .051 Female=1 .402*** .041 .611 *** .039 Log Household Income .453*** .026 .520*** Region (Southeast omitted) South .263*** .057 .328*** .089 North -1.158*** .148 -.989*** .049 Center-West -.620*** .115 -.243 *** .060 Northeast -1.115*** .054 -.974*** .081 Constant -.533 .218 .764 .058 R2 .446 .421 [N] 7,162 6,672 Source: PNADs 1977, 1997. Notes: ***Significant at 1%; **Significant at 5%; *Significant at 10%. 24 Work in progress – comments welcome 8/1/2012 Table 5. OLS Regression Results School Attainment - Cohorts of 14 Year-olds born in 1963 and 1983, Northeast & Southeast, Brazil Northeast Southeast Cohort of 1963 Cohort of 1983 Cohort of 1963 Cohort of 1983 Std. Std. Std. Std. Coef. Error Coef. Error Coef. Error Coef. Error Mother’s Education (omitted=0) One 0.450*** 0.133 0.422** 0.175 0.617*** 0.188 -0.118 0.252 Two 1.027*** 0.115 0.651*** 0.140 0.843*** 0.122 0.616*** 0.156 Three 1.102*** 0.116 0.922*** 0.138 0.862*** 0.113 0.237*** 0.138 Four 1.336*** 0.118 1.281*** 0.126 1.306*** 0.104 0.875*** 0.109 Five 2.103*** 0.166 1.201*** 0.165 1.067*** 0.182 0.551*** 0.149 Six 2.181*** 0.470 1.207*** 0.251 1.777*** 0.245 1.008*** 0.176 Seven 2.569*** 0.384 1.668*** 0.270 1.757*** 0.312 1.005*** 0.183 Eight 1.944** 0.322 1.872*** 0.203 1.801*** 0.185 1.055*** 0.137 Nine 1.411** 0.676 2.342*** 0.450 0.998** 0.602 1.510*** 0.308 Ten 2.890*** 0.493 2.661*** 0.423 1.643*** 0.479 1.502*** 0.246 Eleven 2.606*** 0.301 2.448*** 0.162 1.946*** 0.225 1.206*** 0.141 Twelve or + 3.735*** 0.480 2.936*** 0.250 1.910*** 0.263 1.356*** 0.170 Rural=1 -1.307*** 0.075 -0.642*** 0.084 -0.691*** 0.091 -0.382*** 0.108 Female=1 0.506*** 0.067 0.806*** 0.076 0.383*** 0.070 0.541*** 0.066 Log Family Income 0.333*** 0.042 0.463*** 0.046 0.594*** 0.046 0.529*** 0.041 Constant -0.686 0.326 -0.122 0.267 -1.688 0.382 0.989*** 0.278 R2 0.408 0.374 0.290 0.249 [N] 2,398 2,216 2,666 2,095 Source: PNADs 1977, 1977. Notes: ***Significant at 1%; **Significant at 5%; *Significant at 10%. 25 Work in progress – comments welcome 8/1/2012 Table 6 Decomposition of Increasing Schooling of 14 Year-olds in cohorts of 1963 and 1983 Cohort of Cohort of Change Predicted Change 1963 1983 (% of actual) Mean Schooling of 14 Year-olds 3.40 4.44 1.04 Coefficients of 1977 and distribution of 4.24 0.84 1997 Change attributable to change in 81% distribution. Coefficients of 1997 and distribution of 4.10 0.34 1977 Change attributable to change in the 67% coefficient Source: PNADs 1977, 1997. Table 7 Decomposition of Increasing Schooling of 14 Year-olds in cohort of 1963, Northeast and Southeast Brazil Northeast Southeast Change Predicted Change (% of actual) Mean Schooling of 14 Year-olds 1.97 4.17 2.20 Coefficients of Southeast and 3.68 1.71 distribution of Northeast Change attributable to change in 78% distribution. Coefficients of Northeast and 2.71 1.46 distribution of Southeast Change attributable to change in the 34% coefficient Source: PNAD 1977 Table 8 Decomposition of Increasing Schooling of 14 Year-olds in cohort of 1983, Northeast and Southeast Brazil Northeast Southeast Change Predicted Change (% of actual) Mean Schooling of 14 Year-olds 3.48 5.41 1.93 Coefficients of Southeast and 4.88 1.40 distribution of Northeast Change attributable to change in 73% distribution. Coefficients of Northeast and 4.14 1.27 distribution of Southeast Change attributable to change in the 34% coefficient Source: PNAD 1997 26 Work in progress – comments welcome 8/1/2012 Figure 1. Estimated Schooling for 14 Year-olds of 1963 and 1983 Cohorts, Brazil 7 6 5 4 3 2 1 0 0 1 2 3 4 5 6 7 8 Mother's Years of Schooling Cohort 1963 9 10 11 12 Cohort 1983 Figure 2. Predicted Schooling for 14 Year-olds of 1963 and 1983 Cohorts, Brazil 7 6 5 4 3 2 1 0 0 1 2 3 4 5 6 7 8 9 10 11 12 Mother's Years of Schooling Discrete Coding, Cohort 1963 Discrete Coding, Cohort 1983 Linear Effect, Cohort 1963 Linear Effect, Cohort 1983 27 Work in progress – comments welcome 8/1/2012 Figure 3. Predicted Years of Schooling for Cohort of 1963 and 1983, Northeast and Southeast 7 6 5 Ne, 1963 Se, 1963 Ne, 1983 Se, 1983 4 3 2 1 0 0 1 2 3 4 5 6 7 8 9 10 11 12 Mother's Years of Schooling 28
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