Indira Gandhi Institute of Development Research · Indira Gandhi Institute of Development Research...

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INEQUALITY OF OPPORTUNITY IN EARNINGS AND CONSUMPTION EXPENDITURE: THE CASE OF INDIAN MEN by Ashish Singh* Indira Gandhi Institute of Development Research The paper associates inequality of opportunities with outcome differences that can be accounted by predetermined circumstances which lie beyond the control of an individual, such as parental education, parental occupation, caste, religion, and place of birth. The non-parametric estimates using parental education as a measure of circumstances reveal that the opportunity share of earnings inequality in 2004–05 was 11–19 percent for urban India and 5–8 percent for rural India. The same figures for consumption expenditure inequality are 10–19 percent for urban India and 5–9 percent for rural India. The overall opportunity share estimates (parametric) of earnings inequality due to circumstances, including caste, religion, region, parental education, and parental occupation, vary from 18 to 26 percent for urban India, and from 16 to 21 percent for rural India. The overall opportunity share estimates for consumption expenditure inequality are close to the earnings inequality figures for both urban and rural areas. The analysis further finds evidence that the parental education specific oppor- tunity share of overall earnings (and consumption expenditure) inequality is largest in urban India, but caste and geographical region also play an equally important role when rural India is considered. JEL Codes: D31, D63, J62 Keywords: inequality of opportunity, earnings inequality, consumption expenditure inequality, India 1. Introduction Should an individual’s achievement depend only upon his choices and efforts or also upon predetermined circumstances beyond his control? This question has occupied the minds of thinkers, philosophers, and policy makers alike. The debate became prominent in the late 1960s and early 1970s, when a number of studies reported that the same level of efforts by individuals with different family back- grounds results in different returns. For instance, Hanoch (1967) found that in the United States, the internal rate of return to increased schooling (except for gradu- ate studies) was considerably lower for African Americans than for Whites. Extending Hanoch’s work, Weiss (1970) estimated earnings functions for African American workers having 12 or fewer years of schooling, and found that the monetary return to additional schooling was not statistically significant, except for the workers in the 35–44 years age group. He also concluded that the effect of education on earnings was less for African Americans than for Whites and that Note: I am grateful to Sripad Motiram, Abhishek Singh, Vikas Kumar, two anonymous referees, and Conchita D’Ambrosio for helpful comments and suggestions on earlier drafts. The paper has also benefited from insightful comments received at conferences or seminars at ISI Delhi and the Indira Gandhi Institute of Development Research. The views expressed in the paper are those of the author, and should not be attributed to the Indira Gandhi Institute of Development Research. *Correspondence to: Ashish Singh, Ph.D. Candidate, Indira Gandhi Institute of Development Research, Goregaon(E), Mumbai 400065, India ([email protected]). Review of Income and Wealth Series 58, Number 1, March 2012 DOI: 10.1111/j.1475-4991.2011.00485.x © 2011 The Author Review of Income and Wealth © 2011 International Association for Research in Income and Wealth Published by Blackwell Publishing, 9600 Garsington Road, Oxford OX4 2DQ, UK and 350 Main St, Malden, MA, 02148, USA. 79

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roiw_485 79..106

INEQUALITY OF OPPORTUNITY IN EARNINGS AND

CONSUMPTION EXPENDITURE: THE CASE OF INDIAN MEN

by Ashish Singh*

Indira Gandhi Institute of Development Research

The paper associates inequality of opportunities with outcome differences that can be accounted bypredetermined circumstances which lie beyond the control of an individual, such as parental education,parental occupation, caste, religion, and place of birth. The non-parametric estimates using parentaleducation as a measure of circumstances reveal that the opportunity share of earnings inequality in2004–05 was 11–19 percent for urban India and 5–8 percent for rural India. The same figures forconsumption expenditure inequality are 10–19 percent for urban India and 5–9 percent for rural India.The overall opportunity share estimates (parametric) of earnings inequality due to circumstances,including caste, religion, region, parental education, and parental occupation, vary from 18 to 26percent for urban India, and from 16 to 21 percent for rural India. The overall opportunity shareestimates for consumption expenditure inequality are close to the earnings inequality figures for bothurban and rural areas. The analysis further finds evidence that the parental education specific oppor-tunity share of overall earnings (and consumption expenditure) inequality is largest in urban India, butcaste and geographical region also play an equally important role when rural India is considered.

JEL Codes: D31, D63, J62

Keywords: inequality of opportunity, earnings inequality, consumption expenditure inequality, India

1. Introduction

Should an individual’s achievement depend only upon his choices and effortsor also upon predetermined circumstances beyond his control? This question hasoccupied the minds of thinkers, philosophers, and policy makers alike. The debatebecame prominent in the late 1960s and early 1970s, when a number of studiesreported that the same level of efforts by individuals with different family back-grounds results in different returns. For instance, Hanoch (1967) found that in theUnited States, the internal rate of return to increased schooling (except for gradu-ate studies) was considerably lower for African Americans than for Whites.Extending Hanoch’s work, Weiss (1970) estimated earnings functions for AfricanAmerican workers having 12 or fewer years of schooling, and found that themonetary return to additional schooling was not statistically significant, except forthe workers in the 35–44 years age group. He also concluded that the effect ofeducation on earnings was less for African Americans than for Whites and that

Note: I am grateful to Sripad Motiram, Abhishek Singh, Vikas Kumar, two anonymous referees,and Conchita D’Ambrosio for helpful comments and suggestions on earlier drafts. The paper has alsobenefited from insightful comments received at conferences or seminars at ISI Delhi and the IndiraGandhi Institute of Development Research. The views expressed in the paper are those of the author,and should not be attributed to the Indira Gandhi Institute of Development Research.

*Correspondence to: Ashish Singh, Ph.D. Candidate, Indira Gandhi Institute of DevelopmentResearch, Goregaon(E), Mumbai 400065, India ([email protected]).

Review of Income and WealthSeries 58, Number 1, March 2012DOI: 10.1111/j.1475-4991.2011.00485.x

© 2011 The AuthorReview of Income and Wealth © 2011 International Association for Research in Income and WealthPublished by Blackwell Publishing, 9600 Garsington Road, Oxford OX4 2DQ, UK and 350 Main St,Malden, MA, 02148, USA.

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lower than average achievement for African Americans did not account for thedifference in the mean earnings of African Americans and Whites. Bowles (1972)concluded that returns to own schooling are substantially overestimated if familybackground is not taken into account properly. These studies initiated a newagenda where researchers began to examine the role of family background in theoverall achievement of an individual, in terms of either earnings or cognitiveability.

As the Indian society is characterized by different caste groups, religions,regions, and languages, similar questions can be raised in the Indian context aswell. Studies reveal that Indian society suffers from substantial inequalities basedupon caste, religion, and ethnicity, in education, employment, and income (Desh-pande, 2001; Government of India, 2006; Kijima, 2006; Gaiha et al., 2007; Ganget al., 2007; Desai and Kulkarni, 2008). The inequalities arising due to differencesin level of efforts made by individuals (henceforth referred to as inequality ofefforts) are deemed acceptable. But, if the inequalities are due to circumstancesbeyond the control of an individual (henceforth referred to as inequality of oppor-tunity), such as parental education, parental occupation, caste, religion, region ofbirth, and gender, then such inequalities may be deemed unacceptable and call forcompensation to those who have suffered due to inferior circumstances.

The concepts of inequality due to efforts and inequality due to circumstances(inequality of opportunity) have been developed by a number of scholars.1 Roemer(1993, 1998, 2006) needs special mention because the formalization of the conceptof unequal opportunities, suggesting that one should separate the determinants ofa person’s advantage (i.e., desirable outcomes, such as income or cognitive ability)into circumstances and efforts was offered by him. The concept is motivated bytwo basic principles. The first one, also known as the principle of compensation(Checchi and Peragine, 2010, p. 431), states that differences in individual achieve-ments which can be unambiguously attributed to differences in factors beyondindividual responsibility are inequitable and have to be compensated by society.An individual’s circumstances such as caste, religion, parental education, andparental occupation are outside the control of the individual, for which he shouldnot be held responsible. Inequalities due to differences in circumstances oftenreflect social exclusion arising from weaknesses of the existing systems of propertyand civil rights, and thus should be addressed through public policy interventions(Ali and Zhuang, 2007). On the other hand, the second principle, commonlyknown as the principle of natural reward (Checchi and Peragine, 2010, p. 431),advocates that the differences in achievements, which can be attributed to factorsfor which an individual can be held responsible, are equitable and need not becompensated.

In the case of India, an enquiry into inequality of opportunity becomesrelevant because historically the society has been divided into different caste (orreligion or other social) groups, with several groups enjoying privileges more than

1See Rawls (1971), Sen (1979), Dworkin (1981), Arneson (1989), Cohen (1989), Roemer (1993,1998), Van de Gaer (1993), and Fleurbaey (1995, 2008) for theoretical background. Van de Gaer (1993)has also provided an application based on stochastic correspondences between income of parents andchildren’s outcomes. Further, the author has formulated a model of intergenerational transmissionbased on optimal behavior by altruistically inspired parents.

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the other groups only because of their superior social status (Dreze and Sen, 1995;Sharma, 1999; Deshpande, 2001; Government of India, 2006; Kijima, 2006; Shahet al., 2006; Gaiha et al., 2007; Gang et al., 2007). Given this historical divide andthe associated consequences, it is important to estimate the contribution of cir-cumstances to observed inequality. This will help in unfolding the root causes ofthe prevailing inequality and better policy making as well as improved targeting ofbeneficiaries of policy interventions.

This study therefore estimates inequality of opportunity in earnings andconsumption expenditure for different age based cohorts in India. The estimationis carried out separately for urban and rural areas using non-parametric as well asparametric approaches and includes only males. The study finds compelling evi-dence of substantial inequality of opportunity in both urban and rural areas. Sincethe study draws on approaches which have been developed by other contributorsto the subject, it will be important to discuss these contributions. This will help incomparing the different approaches proposed in earlier literature and bringing outthe importance of our study. With this brief background, the next section reviewssome important applications of the inequality of opportunity principle in differentcountry settings. It is followed by a formal description of the framework and thedata used, which in turn is followed by the findings of the study. The paper finallyconcludes with a discussion on the findings.

2. Existing Literature on Empirical Applications ofInequality of Opportunity

There are only a few studies which have estimated inequality of opportunityin different country settings. Checchi and Peragine (2010), for instance, used anon-parametric approach to decompose the total inequality in income in Italy intoinequality of opportunity and inequality of efforts. They did not use any functionalform and developed two alternative non-parametric approaches to measureinequality of opportunity. In the first approach, the population is divided intogroups based on circumstances of individuals (“types”), with individuals in eachgroup having similar circumstances. The overall inequality in income is thendecomposed into between-group and within-group components, with the between-group component being taken as the inequality of opportunity (“types” or ex-anteapproach). Since the ex-ante approach focuses on inequality between “types” andis neutral with respect to inequality within types, it is an expression of a rewardfocused approach to equality of opportunity (Fleurbaey, 2008, ch. 9; Checchiet al., 2010, p. 6). In the second approach, the population is divided into groupsbased on the level of efforts made by the individuals, with individuals in eachgroup having exercised the same level of effort; the within-group inequality result-ing from the decomposition of overall inequality (into between-group and within-group) is taken as inequality of opportunity (“tranche” or ex-post approach).

On the other hand, Bourguignon et al. (2007) used a parametric approach toobtain inequality of opportunity in earnings in urban Brazil by comparing theinequality in actual distribution of earnings in the sample with the inequality indistribution of counterfactual earnings for the same sample. The counterfactualearnings were generated under the counterfactual of the same set of circumstances

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for the whole sample. For generating the counterfactual distribution, earnings wasassumed to be a linear function of circumstances, effort, and other factors (orluck), and the estimates thus obtained were used to generate the counterfactualearnings for the whole sample simply by replacing individual circumstance valueswith the sample average of each circumstance variable (the procedure is explainedin detail subsequently). The difference in inequality in actual earnings distributionand the inequality in counterfactual earnings distribution is then taken as inequal-ity of opportunity.

Ferreira and Gignoux (2008) used both parametric and non-parametricapproaches to estimate inequality of opportunity in earnings as well as consump-tion expenditure in six Latin American countries. Checchi et al. (2010) also usedboth approaches to estimate inequality of opportunity in earnings in 25 Europeancountries. While the existing literature has used parametric as well as non-parametric approaches, it must be noted that both parametric and non-parametricapproaches have advantages as well as limitations. The non-parametric modelsavoid the arbitrary choice of a specific functional form on the relationship betweenoutcome (earnings or consumption expenditure), circumstances, and effort butsuffer from data insufficiency problems once the number of circumstance variablesincreases. In addition, they fail to capture the partial effects of individual circum-stances on outcomes. Parametric models, however, can include a relatively largenumber of circumstance variables, and thus allow estimation of the partial effectsof individual circumstances on outcomes. The parametric approach also allows thedecomposition of overall inequality of opportunity into the components due to thedirect effect of circumstances on outcomes (direct component) and the effect ofcircumstances on outcomes through influence on efforts (indirect component). Atbest the non-parametric and parametric approaches should be seen as complemen-tary (Ferreira and Gignoux, 2008; Checchi et al., 2010).

A few studies have used other approaches to estimate inequality of opportu-nity. Prominent among this group is the study by Lefranc et al. (2008), who usedstochastic dominance rankings to compare the distribution of opportunities innine OECD countries. The use of this approach is rather limited as it fails toprovide a quantification of how far the different groups (groups based on circum-stances) are from one another. Therefore the ranking of inequality of opportunityacross countries is limited to a binary classification, i.e., equal or unequal. Theapproach also fails to capture the contribution of individual circumstance vari-ables to the overall inequality of opportunity, which is important as far as Indiawith its complex social divide is concerned.

Fleurbaey and Schokkaert (2009) is another noteworthy study, where theauthors have analyzed unfair inequalities (similar to inequality of opportunity) inhealth and health care using the concepts of direct unfairness and fairness gap.Direct unfairness is linked to the variations in medical expenditures and health inthe hypothetical distribution in which all legitimate sources of variation are keptconstant. The fairness gap is associated with the differences between the actualdistribution and the hypothetical distribution in which all illegitimate sources ofvariation have been removed. Indeed, the concept of fairness gap is very similar tothe inequality of opportunity (parametric approach) as proposed by Bourguignonet al. (2007), who have associated inequality of opportunity with the differences

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between the actual distribution and the hypothetical (counterfactual) distributionin which all illegitimate sources of variation have been removed (that is, the effectsof circumstances have been removed). Moreover, the approach adopted byFleurbaey and Schokkaert (2009) to construct hypothetical distribution is alsovery similar to that used by Bourguignon et al. (2007) for constructing counter-factual distributions.

The third study which needs special mention is Barros et al. (2009), whosemain focus was on estimation of inequality of opportunity in access to basicservices (for example, education) among children of different Latin American andCaribbean countries. The study used inequality of opportunity and human oppor-tunity indices to analyze the inequality of opportunity in access to the aforesaidservices. In addition, it also provided non-parametric and parametric estimates ofinequality of opportunity in economic outcomes and educational attainment for anumber of Latin American countries.

There are a few other papers which have quantified in different contexts thecosts and effects of implementing equal opportunity policy as proposed by Roemer(1998). Taking race and parental education as determinants of opportunities in theUnited States, Betts and Roemer (1999) investigated whether reallocation of edu-cational expenditures would equalize opportunities across individuals in the U.S.In another study, Page and Roemer (2001) examined the extent to which the fiscalsystem could be seen as an opportunity equalizing device in the United States.

It can be noted that none of the aforementioned studies are based on India.The only study that partially addresses inequality of opportunity in India anddeserves mention is by Singh (2010). It used the non-parametric approach pro-posed by Checchi and Peragine (2010) and estimated inequality of opportunity inwage earnings for males that is attributable to father’s education. The sample forthe analysis included only urban males who were on wages and were not involvedin any other income generating process. The sample size was a little more than9000, whereas the present study is based on a sample of more than 18,000(32,000) males in urban (rural) areas. In addition, the present study uses bothnon-parametric and parametric approaches for estimating inequality of oppor-tunity in the two most commonly used indicators of household welfare: earningsand consumption expenditure. Moreover, the estimation has been carried outseparately for different age based cohorts in urban and rural areas. The para-metric approach used includes father’s occupation, caste, religion, and geographi-cal region along with father’s education as circumstance variables. Anotherimportant feature of the present analysis that makes it different from the previousanalysis is that it provides estimates of inequality of opportunity due to indi-vidual circumstances.

The present study is based on the framework (ex-ante) proposed by Ferreiraand Gignoux (2008). The non-parametric and parametric analyses are also similarto those of Checchi and Peragine (2010) and Bourguignon et al. (2007), respec-tively. The primary reason for using the ex-ante approach is that by constructionit is focused on the inequality between social types (see Checchi et al., 2010, p. 13).The focus on inequality between social types is important given the historicaldivision of Indian society into different caste and religious groups, with some casteand religious groups enjoying better opportunities than the others just because of

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their social inheritance. Estimating inequality of opportunity in India in this waynot only helps in understanding the genesis of income inequalities but also helps inprioritizing redistribution policies. The next section provides the basic outline ofthe framework and the details of the data used in the paper.

3. Analytical Framework and Data

The framework starts with the categorization of various factors affecting“outcomes” (also referred as “advantages”) into “circumstance” and “effort”variables as defined by Roemer (1998). Following Ferreira and Gignoux (2008, p.6), a model of outcome of the general form can be defined as follows:2

y f C E u= ( ), , ,(1)

where y denotes earnings (or consumption expenditure), f denotes earnings (orconsumption expenditure) generating function, C denotes a vector of circumstancevariables, E denotes a vector of effort variables, and u stands for pure luck or otherrandom factors. Since effort may itself depend on circumstances, C, as well asother unobserved determinants, v, (1) can be rewritten as:

y f C E C v u= ( )[ ], , , .(2)

Going by Roemer’s concept of equality of opportunity which requires thatF (y|C) = F (y), the following three conditions are implied (Ferreira and Gignoux,2008, p. 6):

(i)∂ ( )

∂=

f C E uC, ,

0, " C, that is, no circumstance variable should have a

direct causal impact on y.(ii) G (E|C) = G (E), " E, " C, each effort variable should be distributed

independently from all circumstances.(iii) H (u|C) = H (u), i.e. random factors and luck are also independent from

circumstances. This condition holds by assumption. F, G, and H denotecumulative distributions.

To measure the inequality of opportunity is therefore to measure the extent towhich F (y|C) � F (y). An obvious first step would be to test for the existenceof inequality of opportunity, by examining whether the conditional distributionF (y|C) differs across the elements of C. This has been done by Lefranc et al. (2008),using stochastic dominance concepts and the associated statistical tests to comparethe distribution of opportunities across nine OECD countries (Ferreira andGignoux, 2008, p. 7). In light of the above, the rest of the section is divided into twosubsections, one dealing with the non-parametric approach and the other with theparametric approach.

2The present study uses Ferreira and Gignoux’s (2008) framework for estimation (which in turndraws from Bourguignon et al., 2007). The notations are retained for coherence and comparison. Ido not take any credit for the framework and the paper provides only the basic outline of theframework.

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3.1. Non-Parametric Approach

The idea here is to construct scalar indices of inequality of opportunity, basedon partitioning the population into groups (“types”) by circumstance categories.Since the partitioning of the population into subgroups is based on circumstances,the choice of circumstance variables becomes important. For the non-parametricestimation, level of father’s education is taken as a measure of circumstances.3

Once the circumstance variable is identified, any other factors, such as nativeability, luck, and so on, are implicitly classified as within the sphere of individualresponsibility. Given the agreement on circumstance variables C, define yi

k{ } as apartition of the distribution (Ferreira and Gignoux, 2008, p. 7) such thatC C i k k Ki

k k= ⇔ ∈ =, , ,1 . . . (K � N, where N is the size of the population). yik{ }

is then a partition of the population into K groups, such that the individuals ofeach group are identical with respect to all circumstances in the vector C. Since, inthe present case father’s education is considered as the sole circumstance variable,vector C comprises only one element. Given the above partition, a scalar measureθ: y Ri

k{ } → + which captures the degree of inequality of opportunity in the parti-tion is desired.

If IB yik{ }( ) denotes the between-group component of inequality over the

previously constructed partition of the population, then for any meaningful defi-nition of between-group inequality, stochastic independence implies:

F y C F y IB yik( ) = ( ) ⇒ { }( ) = 0.(3)

The two candidates for θ: y Rik{ } → + could be indices of the form (Ferreira

and Gignoux, 2008, p. 8):

θ y IB yik

ik{ }( ) = { }( )(4)

or

θ yIB y

I F yik i

k

{ }( ) ={ }( )

( ( )),(5)

where equation (4) defines inequality of opportunity as the absolute level of thebetween groups inequality in a population, and equation (5) defines it as the samebetween-group inequality, relative to overall inequality in the outcome in thepopulation. As noted by Ferreira and Gignoux (2008), (5) as a relative measure isactually a mapping : ,yi

k{ } → [ ]0 1 , for any decomposable inequality index I ().Subsequently the paper focuses on the relative measure (5) for a more meaningfuldiscussion.

Before partitioning the sample into groups based on father’s education for thenon-parametric analysis, the samples in urban and rural areas are divided into

3As previous studies on the subject suggest, it will be more desirable to consider the education ofboth the parents, but the lack of information on mother’s education in the dataset leaves us with nochoice but to use father’s education as the only variable to capture parental education. See Checchi andPeragine (2010), Bowles (1972), and Behrman and Taubman (1976) for a discussion on the possiblechannels through which parents affect the income earning capacity of the children.

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different age based cohorts: 21–30 years, 31–40 years, 41–50 years, and 51–65years.4 This allows us not only to measure the role of inequality of opportunities inshaping the inequality of outcomes (earnings or consumption) at a point in time,but also to study how this role may vary across cohorts (Bourguignon et al., 2007).For each cohort, the analysis is performed separately for urban and rural areas.Using the aforementioned framework and father’s education as the circumstancevariable, the sample of each cohort is partitioned into four groups or cells, that is,individuals whose fathers have no formal schooling (type 1), are educated but upto primary school (type 2), are educated more than primary but up to a maximumof secondary school (type 3), and are educated more than secondary school (type4).5 Each cell or type contains the earnings (consumption expenditure) of theindividuals belonging to that type. The earnings and the consumption expenditureare the per capita household earnings and the per capita household consumptionexpenditure, respectively. Once the partition is complete, the analysis uses meanlog deviation (MLD; also known as GE (0)) to decompose the inequality inearnings (and consumption expenditure) into within type and between type com-ponents. MLD is chosen because it is the only measure of inequality which satisfiesthe four standard axioms of (i) anonymity or symmetry, (ii) population replicationor replication invariance, (iii) mean independence or scale invariance, and (iv) thePigou–Dalton principle of transfers, as well as the additional axioms of (v) additivesubgroup decomposability and (vi) path independence. The additional propertiesof additive subgroup decomposability and path independence are particularlyimportant for the present study. The additive subgroup decomposability is impor-tant because the study primarily decomposes the total earnings (and consumptionexpenditure) inequality into within-group and between-group components. Sincethe interest is in the between-group component, the property of path independenceis also required in the sense that the decomposition must yield the same result orthe decomposition is invariant to whether within-group inequality is eliminatedfirst and the between-group component computed second, or the reverse.6

The non-parametric analysis (and parametric analysis) has been done sepa-rately for urban and rural areas because the sources of income and expenditure arevery different in these areas. Also, the nature of job market and business environ-ment in urban areas differ considerably from that in rural areas. If urban and ruralareas are combined, the results will show a picture which averages the extent ofopportunity inequality in the two regions and will fail to capture the contrastbetween the two regions. For both urban and rural areas, two sets of estimationsbased on earnings (household per capita) and consumption expenditure (house-hold per capita) have been carried out. This is done to get a clear picture of the

4In line with other studies (see Bourguignon et al., 2007, p. 601), the present study treats cohortsas age homogenous by definition; that is why age (beyond the division of the sample into cohorts basedon age) and imputed experience do not appear in the analysis.

5The division into four groups has been made considering that these form the major milestones ofeducational attainment in India. The division is also bounded by sample size. A finer subdivision willincrease the number of groups, therefore decreasing the observations in each group and leading to theproblem of data insufficiency.

6See Checchi and Peragine (2010), Checchi et al. (2010), Barros et al. (2009), Bourguignon (1979),Shorrocks (1980), Foster and Shneyerov (1999, 2000), and Shorrocks and Wan (2005) for a detaileddiscussion on the choice of MLD for inequality decomposition and these properties.

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opportunity share in two important indicators of household welfare, thus addingcompleteness to the study and also to have a check on the robustness of the results.

Note that the non-parametric analysis is restricted to father’s education as thesole circumstance variable, whereas a combination of it with caste and religion willprovide the best picture. Non-parametric analysis based on such a combinationsuffers from data insufficiency and becomes difficult to interpret. Though casteand religion are not included as circumstances, the non-parametric results areinteresting for reasons explained below. First, previous studies (Bourguignonet al., 2007; Ferreira and Gignoux, 2008; Checchi and Peragine, 2010; and theliterature on intergenerational mobility) clearly single out parental education asthe single most influential circumstance variable as far as inequality of opportunityis concerned. Second, there is a consensus among demographers about the useful-ness of parental education as an appropriate variable for capturing family back-ground as far as impact of family circumstances on an individual is concerned(Davis-Kean, 2005; Eccles and Davis-Kean, 2005). Finally, the survey (detailsprovided in Section 3.3) on which the present study is based was conducted in2004–05 and the individuals included in the sample are more than 20 years of age(i.e., born before 1984). Even if 18 years (as the lower limit) is taken as the age offathers at the time of the birth of individuals, the fathers would have been born inor before 1966. There is evidence that educational attainment followed castehierarchy (the same with religion) in that period (Dreze and Sen, 1995; Anitha,2000; Deshpande, 2001; Desai and Kulkarni, 2008). Therefore, the choice offather’s education for non-parametric analysis seems appropriate.

The present study also uses the parametric approach and provides estimatesof the overall inequality of opportunity as well as estimates of inequality ofopportunity due to individual circumstances. The outline of the framework for theparametric analysis follows.

3.2. Parametric Approach

Consider a counterfactual distribution, �yi{ } , corresponding to F (y|C) as thedistribution that arises from replacing yi with �y f C E C v ui i i= ( )[ ], , , in (2), whereC stands for the vector of sample mean circumstances. To generate this counter-factual distribution, a specific model of (2) needs to be estimated. FollowingBourguignon et al. (2007) and Ferreira and Gignoux (2008), a log-linear of theform below can be specified:

ln y C E u= + +α β(6)

E BC v= + .(7)

The reduced form of the structural model (6)–(7) is ln y = C (a + bB) + vb + u,which can be estimated by OLS as follows (Ferreira and Gignoux, 2008, p. 11):

ln .y C= +ϕ ε(8)

Under these assumptions regarding the functional form, the counterfactualdistribution is given by:

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�y Ci i= +[ ]exp ˆ ˆ .ϕ ε(9)

The overall opportunity share of outcome (earnings or consumption expen-diture) inequality can now be given as:

θIi i

i

I y I y

I y=

{ }[ ] − { }[ ]{ }[ ]

�.(10)

It is the difference between the inequality in actual distribution of outcomeand the inequality in counterfactual distribution of outcome as a proportion of theinequality in actual distribution of outcome.

The estimation of the partial effects of one (or a subset) of the circumstancevariables, controlling for the others, can be obtained by constructing alternativecounterfactual distributions, such as:

�y C CiJ J J

ij J j J

i= + +[ ]≠ ≠exp ˆ ˆ ˆ .ϕ ϕ ε(11)

Therefore the circumstance J-specific opportunity inequality share can begiven by:

θIJ i i

J

i

I y I y

I y=

{ }[ ] − { }[ ]{ }[ ]

�.(12)

The next section describes the data (dataset and samples are common for boththe non-parametric and the parametric analyses) and the details of the circum-stance and the effort variables.

3.3. Data

The data for the present study comes from the India Human DevelopmentSurvey (IHDS), 2004–05, conducted by the National Council of Applied Eco-nomic Research (NCAER), New Delhi, India, in collaboration with the Universityof Maryland. This is a micro-unit recorded, nationally representative survey basedon a stratified, multistage sampling procedure. It covers 26,734 households(143,374 individuals) and 14,820 households (72,380 individuals) in rural andurban areas, respectively. The survey provides information on a person’s familybackground and on other demographic details like sex, religion, parental educa-tion, and parental occupation.

The National Sample Survey (NSS) is another nationally representativedataset, which is widely used in studies on poverty and inequality in consumptionexpenditure in the Indian context. It is not, however, used in the present study fortwo main reasons. First, the NSS does not provide any information on the earn-ings for the surveyed households. Second, the NSS fails to provide information onthe parental educational status for a large number of individuals in the eligiblesample. It only captures the educational status of the members of the household,and does not explicitly collect any information on the educational status (or evenoccupational status) of the father of the household head. For those individuals

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who are household heads but their fathers are not living with them, the survey failsto capture the information on their fathers’ educational attainment. This is not thecase with the IHDS, because in addition to measuring the educational status ofevery member of the household, the IHDS explicitly provides information on theeducational (and occupational) status of the father of the household head for everysurveyed household. The information on the variables like parental education andparental occupational status is especially important because existing studies havefound them to be the major contributors to the overall inequality of opportunityin different country settings.

The present study is restricted to males in the age group 21–65 years in bothurban and rural areas. It would have been desirable to also include females in theanalysis and examine the effect of gender. This could not be done, however, giventhe lack of information on father’s education (and occupation) for most of theadult females included in the survey. Father’s education (and father’s occupation)was only available for approximately 10 percent of females in the age group 21–65years in the urban sample, and 6 percent in the rural sample.7 The main reason forunavailability of father’s education (and father’s occupation) for the majority ofthe females is that most of them in the above mentioned age group are either wivesor daughters-in-law of the household heads. For this set of females, the informa-tion on father’s education (and occupation) was not captured in the survey. TheIHDS also failed to capture the information on father’s education (and occupa-tion) for those females who were household heads.

The urban and rural samples are further restricted to the individuals who areeither household heads, or sons or brothers of household heads. These constitutemore than 92 percent of the eligible sample (21–65 years) in urban areas, and 93percent in rural areas. It was done because father’s education (and occupation)could be consistently measured only for this set of individuals. Of these, there wasan extremely small number of individuals (less than 1 percent in urban areas andless than 2 percent in rural areas) for whom income (or consumption expenditure)was reported as negative. Since negative incomes (consumption expenditure)cannot be included for inequality decomposition using MLD, they were droppedfrom the sample. This resulted in a final sample of 18,302 and 32,692 males inurban and rural areas, respectively.

For both the non-parametric and the parametric analysis, earnings and con-sumption expenditures are measured as household per capita earnings and house-hold per capita consumption expenditures. For non-parametric analysis, father’seducation is measured as the number of completed years of schooling of the father.It is coded into four categories: (i) no formal schooling; (ii) 1–5 years of schooling(educated up to primary or less); (iii) 6–10 years of schooling (more than primarybut up to secondary or less); and (iv) more than 10 years of schooling (more thansecondary).

For the parametric analysis, the dependent variables are logarithm of earn-ings (household per capita) and consumption expenditures (household per capita).The circumstance variables include father’s education, father’s occupation, caste,

7The dataset contains 19,589 females in the age group 21–65 years in urban areas. The correspond-ing figure for rural areas is 35,467.

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religion, and geographical region of residence. The ideal variable for capturing theeffect of region would have been the region of birth. But in the absence of infor-mation on region of birth, region of residence is taken as a proxy for region ofbirth. Since the geographical regions of residence are large regions comprisingseveral states, the migration between regions will be low.8 Father’s education istreated as a continuous variable and is measured as the number of years ofcompleted schooling. In urban areas, father’s occupation has been categorized intothree categories: (i) “higher” status, which includes scientists, engineers, architects,physicians, surgeons, accountants, mathematicians, statisticians, economists,social scientists, teachers, journalists, creative and performing artists, elected andlegislative officials, administrative officials (government and local bodies), andmanagers; (ii) “medium” status, which includes people in clerical jobs, villageofficials, transport and communication supervisors, and sales professionals likeshopkeepers, commercial travelers, insurance, real state, securities and businessservices, and money lenders; and (iii) “lower” status, which includes farmers,fishermen, agricultural laborers, farm and forestry workers, hunters and relatedworkers, waiters, bartenders and related workers, maids and other housekeepingservice workers, sweepers, cleaners and related workers, service workers, and otherlaborers involved in production, transport equipment and construction. Higheroccupation status has been taken as the reference category. For rural areas,“higher” and “medium” occupational categories are combined into one category;“high” and therefore the “lower” category is renamed as “low.” This is donebecause in rural areas a majority (more than 85 percent) of the population fallsunder the “lower” status category and there are relatively few individuals in the“higher” and “medium” categories.

Caste is categorized into three categories: “General,” “Other BackwardCastes” (OBC), and “Scheduled Castes and Scheduled Tribes” (SC/ST), with“General” as the reference category. Religion is also grouped into three categories:“Hindu” (who form the majority of population in India), “Muslim,” and“Others,” with “Hindu” as the reference category.

India is comprised of 29 states and seven Union Territories. The differentstates of India are at different levels of socio-economic development; most of theeastern and central states of India are economically and demographically laggingbehind the other states (Bose, 1991; Bhat and Zavier, 1999). So, any meaningfulanalysis must take into account the consequence of vast regional diversity presentin India. To take care of the effect of geographical region on the outcome mea-sures, parametric analysis also includes geographical region of residence (as aproxy for geographical region of birth) as one of the circumstance variables.

8It may be noted that IHDS provides details about whether an individual has migrated within astate or from another state (but the name of the states is not given). Clearly, within-state migration isnot a cause of concern in the present study. In the urban sample, 11.5 percent of the total individualshave migrated from another state; the corresponding figure for the rural sample stands at 1.14 percent.Nothing can be said about inter-region migration, except that the figures for inter-region migration willbe lower than the above figures. This is primarily because every region comprises a number of states andtherefore many inter-state migration cases will fall into the within-region migration category. When itcomes to father’s education and father’s occupational status, one would naturally like to investigate theextent of correlation between the two. The correlation came out to be low. It was less than 0.45 for theurban cohorts and less than 0.35 for the rural cohorts.

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Geographical region is categorized into six categories: North, Central, East,North-East, West, and South. The Northern region comprises the states of Jammu& Kashmir, Himachal Pradesh, Delhi, Uttaranchal, Punjab, Haryana, and Raj-asthan. The states of Uttar Pradesh, Madhya Pradesh, and Chattisgarh comeunder the Central region. The Eastern region comprises the states of Bihar, Jhark-hand, West Bengal, and Orissa. The North-Eastern region includes the sevennorth-eastern sister states, namely Assam, Arunachal Pradesh, Meghalaya,Manipur, Tripura, Nagaland, and Sikkim. The Western region includes the statesof Maharashtra, Goa, and Gujarat. Finally, the Southern region comprises thestates of Andhra Pradesh, Karnataka, Kerala, Tamil Nadu, and Pondicherry. TheNorthern region has been taken as the reference category.

4. Results

Given the difference between the two approaches and the fact that non-parametric analysis is based only on father’s education as the circumstance vari-able, whereas parametric analysis is based on a set of circumstance variables, theresults of the two analyses are presented separately.

4.1. Non-Parametric Results

Table 1 reports cohort wise mean earnings (and consumption expenditure) ofindividuals belonging to different types for urban and rural areas. It is easy to notethat individual earnings are increasing with the increase in the level of father’seducation for all the age cohorts in the urban as well as the rural sample. Thisreinforces the belief that parental education has a high influence on earnings (orconsumption).9

As expected, the opportunity share of overall inequality (income or consump-tion) is substantial in urban areas. The results (decomposition of overall inequalityinto within-types and between-types) which are summarized in Table 2 (A) indicatethat the inequality of opportunity as a percentage of total observed earningsinequality ranges from 11 to 19 percent across different cohorts (simple averageacross cohorts being 14 percent). The same varies from 10 to 19 percent acrossdifferent cohorts (simple average across cohorts being 14 percent) when inequalityin consumption expenditure is considered. For earnings as well as consumptionexpenditure inequality, the opportunity share is higher for younger cohorts and islowest for the oldest cohort.

The inequality of opportunity estimates for rural areas (Table 2 (B)) are lowerthan that for the urban areas. The opportunity share of overall inequality inearnings ranges from 5 to 8 percent across the cohorts (simple average acrosscohorts being 6 percent). The same figures vary from 5 to 9 percent with a simpleaverage of 6 percent (across the cohorts) when unit of analysis is the consumption

9As noted in Section 3, the first step should be to test the existence of inequality of opportunity, byexamining whether conditional distributions F (y|C) differ across the elements of C. This has been testedand confirms the expectation of existence of inequality of opportunity in India. See Appendix 1 for anillustration of distribution of consumption expenditure conditional on father’s education for each ofthe cohorts in urban areas. Since the conditional distribution functions never cross, first order domi-nance is satisfied in all cases.

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expenditure. As in the case of urban India, the estimates of inequality of oppor-tunity based on earnings and consumption expenditure are fairly close in ruralareas.

Here it is important to note that the estimates for rural India are substantiallylower than that for urban India (almost half). The absence of high paying jobs (i.e.,under developed labor markets) in the rural areas, due to which individuals areforced to either pursue their traditional occupation or engage in low paying jobs,might explain this. Also, it is very likely that those who are successful in getting ahigh paying job or higher income source in urban areas migrate and add to thedisparities in urban areas rather than to the disparities in rural areas. Furthermore,infrastructural constraints in rural areas limit the choices available to fathersregarding decisions about their children. For example, if parents take decisions ontheir children’s schooling which may later affect their earning potential, then in theabsence of choices in availability of schools, a father with ten years of schoolingwill be forced to send his child to the same (and only) village school where a fatherwith five years of schooling is sending his child. Therefore, father’s better educa-tion might not translate into better schooling for their children, which in turn willnot translate into better earnings.

4.2. Parametric Results

The descriptive statistics for the main variables used in the parametric analysisare presented in Table 3. It can be seen that the mean years of completed schoolingof fathers decreases as one moves from younger to older cohorts in urban as wellas rural areas. Also, the figures are higher for urban cohorts compared to theirrural counterparts. Moreover, fathers of a majority of individuals fall in the“lower” occupational category.10

To obtain the overall opportunity share of earnings (and consumption expen-diture) inequality, the reduced form equation (8) has been estimated. Table 4reports the results of the reduced form regression for urban areas. As expected,belonging to “OBC” or “SC/ST” categories is associated with significantly lowerearnings (consumption expenditure) compared to those belonging to the“General” category. Similarly, religion also plays an important role; being in the“Muslim” category is associated with significantly lower earnings (consumptionexpenditure) than being a “Hindu.” The above relationships are true for all thecohorts. Regional differences are marked, with individuals from the central andeastern regions having significantly lower earnings than individuals from thenorthern region. This is true for all the cohorts.

Father’s education is always positively associated (significantly so) with earn-ings (and consumption expenditure). The same is true for father’s occupationalstatus. Individuals whose fathers belong to the “medium” or “lower” occupationalstatus categories have significantly lower earnings (and consumption expenditure)than those whose fathers belong to the “higher” occupational category. The find-ings for rural areas (Table 5) are similar to those obtained for urban areas.

10Mean earnings by caste, religion, region, and father’s occupational status are presented inAppendix 2.

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Review of Income and Wealth, Series 58, Number 1, March 2012

© 2011 The AuthorReview of Income and Wealth © International Association for Research in Income and Wealth 2011

95

Page 18: Indira Gandhi Institute of Development Research · Indira Gandhi Institute of Development Research The paper associates inequality of opportunities with outcome differences that can

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Review of Income and Wealth, Series 58, Number 1, March 2012

© 2011 The AuthorReview of Income and Wealth © International Association for Research in Income and Wealth 2011

96

Page 19: Indira Gandhi Institute of Development Research · Indira Gandhi Institute of Development Research The paper associates inequality of opportunities with outcome differences that can

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Review of Income and Wealth, Series 58, Number 1, March 2012

© 2011 The AuthorReview of Income and Wealth © International Association for Research in Income and Wealth 2011

97

Page 20: Indira Gandhi Institute of Development Research · Indira Gandhi Institute of Development Research The paper associates inequality of opportunities with outcome differences that can

Using the coefficients estimates from the reduced form equation (8), reportedin Table 4 (urban) and Table 5 (rural), counterfactual distributions correspondingto equation (9) have been obtained for urban and rural areas. This helps todecompose earnings (and consumption expenditure) inequality for each cohort inthe urban and rural samples into a component due to unequal circumstances(inequality of opportunity) and a residual component due to all factors other thanthe observed circumstances which may be “efforts,” random elements, or anyother unaccounted factor. Table 6 presents the MLD coefficients for factual andcounterfactual earnings (and consumption expenditure) distributions for allcohorts in the urban and rural areas. It also reports the corresponding estimates ofoverall inequality of opportunity.

In urban areas (Table 6 (A)), the overall opportunity share in total observedearnings inequality ranges from 26 to 18 percent across the youngest to oldestcohorts, the simple average across cohorts being 21 percent. The correspondingfigures for consumption expenditure inequality are 25 and 16 percent, respectively,with a simple average of 21 percent across cohorts. In rural areas (Table 6 (B)), theoverall opportunity share in total observed earnings inequality ranges from 21 to16 percent across different cohorts, the simple average across cohorts being 18percent. The opportunity share is highest for the youngest cohort and lowest forthe two oldest cohorts. The corresponding figures for consumption expenditureinequality are 23 and 20 percent, respectively, with a simple average across cohortsbeing 22 percent. A noteworthy finding is that the opportunity share estimates forurban and rural areas are comparable when multiple circumstances are used. Theopportunity share estimates (every cohort) for rural areas using father’s educationalone as a circumstance variable (non-parametric analysis) were almost half of theestimates for the urban areas. This can happen only if circumstances other thanfather’s education have a greater influence on earnings (and consumption expen-diture) in rural areas compared to the urban areas.

Table 7 presents the MLD coefficients for factual earnings (and consumptionexpenditure) and counterfactual earnings (and consumption expenditure),obtained by equalizing each individual circumstance variable in turn, while con-trolling for all others (using equation (11)). Each circumstance specific opportunityshares of total observed inequality are also reported. It is important to mentionthat the estimates of circumstance specific opportunity shares of total inequalityshould be best interpreted as descriptive evidence, because if any unobservedcircumstance variable is correlated with the individual (observed) circumstancevariables, then the estimates are likely to be biased.

In urban areas (Table 7 (A)), it is the father’s education which seems to havethe maximum opportunity share in earnings inequality (Panel 1, column 10). Theopportunity share in total observed earnings inequality due to father’s educationvaries from 18 to 11 percent across the youngest to oldest cohort. The figures arealmost equal to those obtained using non-parametric analysis. The second largestopportunity share in earnings inequality results from caste (column 4) and is about4–5 percent. Similar patterns are observed in the case of consumption expenditureinequality (Panel 2).

In the case of rural areas (Table 7 (B)), the estimates of opportunity shares oftotal observed earnings (and consumption expenditure) inequality due to father’s

Review of Income and Wealth, Series 58, Number 1, March 2012

© 2011 The AuthorReview of Income and Wealth © International Association for Research in Income and Wealth 2011

98

Page 21: Indira Gandhi Institute of Development Research · Indira Gandhi Institute of Development Research The paper associates inequality of opportunities with outcome differences that can

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education do not seem to be as dominating as in the case of urban India. Ifearnings inequality is considered, then for the youngest cohort the opportunityshare due to caste (4 percent) is lower than that of father’s education (8 percent).But for the oldest cohort it is marginally higher (5.2 and 5 percent, respectively). Incase of inequality in consumption expenditure, barring the exception of the young-est cohort, the opportunity shares due to caste are higher than that of father’seducation. But whether it is earnings inequality (Panel 1) or consumption expen-diture inequality (Panel 2), the highest opportunity share in every cohort is due togeographical region of residence (column 8).

There is evidence that the opportunity shares of circumstances other thanfather’s education are relatively larger in rural areas as compared to urban areas.The opportunity share estimates of total observed earnings (and consumptionexpenditure) inequality due to father’s education as the circumstance variable inrural areas, which was nearly half of the estimated share in urban areas, appears tobe compensated by the increased role of other circumstance variables (caste andgeographical region) in rural areas. Some additional discussion on the abovefindings is presented in the next section.

5. Discussion and Conclusion

This paper presents the estimates of overall inequality of opportunity inearning (and consumption expenditure), both as level and as share of totalobserved earnings (and consumption expenditure) inequality for India. In additionit provides evidence on the circumstance specific shares of overall earnings andconsumption expenditure inequality in India. The paper utilizes both non-parametric and parametric approaches to obtain the estimates of inequality ofopportunity in India to get a comprehensive picture. Since the present paper is afirst attempt in this direction in India, it is worthwhile to compare the inequality ofopportunity levels in India (based on the estimates of this paper) to the corre-sponding levels presented in earlier studies for other countries. The findings of thepresent analysis can be compared with those for the other countries because theframeworks used are similar. It is also important to mention that the comparisonsare based on the absolute levels of inequality of opportunity (MLD estimates).

The non-parametric results based on father’s education as the sole circum-stance variable can be compared with Checchi and Peragine (2010), whose esti-mates of inequality of opportunity for Italy are also based on the non-parametricapproach with parental education as the sole circumstance variable. Their estimateof absolute inequality of opportunity in earnings (ex-ante), which is 0.009 formales for the whole of Italy, is substantially lower than the absolute inequality ofopportunity in both the urban (0.055; simple average across cohorts) and ruralareas (0.027; simple average across cohorts) of India. In fact the inequality ofopportunity among Italian men is considerably lower than the inequality of oppor-tunity for any of the age cohorts considered in the present analysis.

It is not appropriate to compare the non-parametric estimates of the presentpaper with the non-parametric estimates of earlier papers such as Checchi et al.(2010) and Ferreira and Gignoux (2008), because the non-parametric analysis usedin these papers is based on a broader set of circumstances whereas the present

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paper uses only father’s education as the circumstance variable for the non-parametric analysis. But the parametric estimates of the overall inequality ofopportunity in earnings and consumption expenditure presented in Checchi et al.(2010) and Ferreira and Gignoux (2008) are compared with the parametricestimates of the overall inequality of opportunity in earnings and consumptionexpenditure presented in this study. Of note is the fact that, when the set ofcircumstances used in non-parametric and parametric analyses are same and theparametric analysis uses a linear specification, then the estimates of the overallopportunity share of earnings (and consumption expenditure) inequality obtainedfrom the non-parametric and the parametric analysis will be very close (Checchiet al., 2010).

A comparison of the parametric estimates of overall inequality of opportunityin earnings (per capita household) and consumption expenditure (per capitahousehold) for India with corresponding estimates for a set of Latin Americancountries (Ferreira and Gignoux, forthcoming),11 reveals that the total inequalityof opportunity in earnings as well as consumption expenditure in India is lowerthan that in the Latin American countries, including Colombia, Peru, Panama,Ecuador, Guatemala, and Brazil. The overall inequality of opportunity in earningsranges from 0.133 for Columbia to 0.223 for Brazil. The corresponding figures forconsumption expenditure are 0.114 for Columbia and 0.213 for Guatemala. Theestimate of overall inequality of opportunity in earnings is 0.084 (simple averageacross cohorts) for urban India and 0.081 (simple average across cohorts) for ruralIndia. The corresponding figures for consumption expenditure are 0.051 (simpleaverage across cohorts) for urban India and 0.052 (simple average across cohorts)for rural India.

The parametric estimates of overall inequality of opportunity in earnings canalso be compared with the estimates (parametric, ex-ante) of inequality of oppor-tunity in earnings provided in Checchi et al. (2010).12 They have reported theestimates for 25 European countries (Austria, Belgium, Cyprus, Czech Republic,Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Ireland, Italy,Lithuania, Luxembourg, Latvia, the Netherlands, Norway, Poland, Portugal, Slo-vakia, Slovenia, Spain, Sweden, and the United Kingdom). It is interesting to notethat the overall inequality of opportunity in earnings (parametric, ex-ante) in allthese countries, ranging from 0.0037 in Norway to 0.060 in Cyprus, is lower thanthat of India, with inequality in the most unequal European country (Cyprus,among the 25 countries) being well below the level of inequality of opportunity inearnings observed in urban as well as rural India.

Though the closeness between the estimates of overall opportunity sharesof inequality in earnings and consumption expenditure can be interpreted assuggesting that the estimation is robust, some caution needs to be observed while

11The framework of Ferreira and Gignoux (forthcoming) is similar to that of Ferreira and Gignoux(2008), but since former is a more recent study we are comparing our results with it.

12Since Checchi et al. (2010) provide the level of inequality of opportunity as two components—thedirect one which captures the direct influence of circumstances on earnings independent of influencethrough efforts, and the indirect one which captures the influence of circumstances on earnings through“efforts”—the two components are added to obtain the overall level of inequality opportunity inearnings. This overall level has then been used for comparison with the estimates obtained in this paperwhich are also the estimates of overall inequality of opportunity in earnings.

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interpreting the results. Importantly, the subdivision of samples (urban and rural)in cohorts may not be neutral to the inequality of opportunity measurementbecause individuals do not have constant earnings and consumption during theirlifetime. So the estimates stand for the particular cohorts in the year 2004–05.However, this is a limitation of any study (for example, Bourguignon et al., 2007)which analyses inequality in earnings among individuals belonging to different agegroups (separate analysis for each group) at a given point of time. Also, thevariation of inequality of opportunity estimates across cohorts should not beinterpreted as variation over time. This is because, in the words of Bourguignonet al. (2007, p. 613), “they are measured at the same point in time, and it isimpossible to disentangle period, age and cohort effects.”

Further, the non-parametric estimation may be affected by number of groupsor types as there is evidence in the existing literature that between-group inequalityincreases with the number of groups. Therefore, the non-parametric analysis basedsolely on father’s education as circumstance variable identifies the lower boundestimates of inequality of opportunity. This is because including any additionalcircumstances (or dividing existing circumstance variables into finer categories)would cause each group to be further subdivided, which cannot lower the between-group inequality share and, unless the additional element is orthogonal to themeasure of advantage, will in fact, raise it (Barros et al., 2009, p. 127). Similarly, inparametric analysis, the overall estimates are lower bound because (though mul-tiple circumstance variables have been taken) the possibility of existence of othercircumstance variables, which are not observed, cannot be ruled out. Addinganother circumstance variable to the right-hand side of the reduced regressionequation used for generating the counterfactual distribution will reduce the vari-ance of the residuals and increase the variance of the observed circumstances,therefore increasing the inequality of opportunity share (Barros et al., 2009, p.127).13

Even with the above cautions, the results of the present study are important inso far as they give a clear picture about the extent to which circumstances affect theearning ability of an individual. Whether it is urban India or rural India, asubstantial part (nearly 20 percent) of total earnings (or consumption) inequalityis accounted by unequal circumstances. One of the findings of this study, thatparental education has a significant influence on an individual’s earnings, alongwith similar findings for other countries (Bourguignon et al., 2007; Ferreira andGignoux, 2008), suggests that government should pay increased attention to theeducation of children of uneducated parents.

Whether the government has been effective in taking education to individualsborn to uneducated parents can be checked by calculating the percentage ofuneducated individuals born to uneducated fathers as a proportion of total indi-viduals born to uneducated fathers (Table 8). The figure varies from 32 percent(fourth cohort) to 23 percent (first cohort) in urban areas and from 52 percent(fourth cohort) to 29 percent (first cohort) in rural areas. These figures suggest thata large number of individuals born to uneducated parents remain uneducated

13See also Ferreira and Gignoux (2008, p. 13), Checchi et al. (2010, p. 12), and Shorrocks and Wan(2005) for further discussion on this point.

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themselves. Also note that the figures are systematically higher than the corre-sponding figures of percentage of total uneducated individuals in each cohort inboth urban and rural areas.

The importance of caste as a factor contributing to the difference betweenearnings of individuals is in line with many past studies (Deshpande, 2001; Kijima,2006; Gaiha et al., 2007; Gang et al., 2007; Desai and Kulkarni, 2008). Thesestudies have found that a substantial portion of difference between the achieve-ments (educational attainment or earnings) can be explained by the difference incaste backgrounds of the individuals. The findings of the present study becomeimportant if seen in the light of the affirmative action (in terms of reservation ofseats in educational institutions and governmental jobs) for individuals belongingto lower caste categories. The study offers some support for the affirmative action.

Moreover, the analysis presented in this paper is a diversion from the con-ventional studies where the authors try to estimate earnings inequality for differentsections and regions of the country. Though their results are useful, by using themone cannot actually get to the roots of the earnings inequality. The present studyalso goes one step ahead of the studies (Duraisamy, 2002; Kingdon and Theopold,2006) which have estimated returns to schooling for people of different familybackgrounds in India and shown that the returns to schooling for some sections ofthe society have been more than for other sections, by exploring the possiblereasons behind this observation. If returns to schooling depend not only on anindividual’s education but also on his family background, then it is obvious thatthe returns to education for individuals belonging to different family backgroundswill be different.

To conclude, inequality of opportunity in outcomes (e.g., earnings) for indi-viduals results from a number of factors, such as, discrimination including pre-ference for individuals of a particular family background over others, socialconnections of parents and role of family background in formation of aspirations,beliefs and attitudes during childhood, which later influence their earnings(Roemer, 1998; Bourguignon et al., 2007; Checchi and Peragine, 2010). If theinfluence of these factors on earnings of individuals is to be reduced, therebyreducing inequality of opportunities in society, then two kinds of policies are

TABLE 8

Uneducated Individuals Born to Uneducated Fathers as aProportion of Total Individuals Born to Uneducated

Fathers by Cohorts

Cohorts

Urban Rural

P1 P2 P1 P2

Fourth (51–65 years) 32 16 53 41Third (41–50 years) 27 14 47 36Second (31–40 years) 28 13 42 30First (21–30 years) 25 9 32 18

Notes: P1: Proportion of uneducated individuals born to unedu-cated fathers as a fraction of total individuals born to uneducatedfathers; P2: Proportion of uneducated individuals as a fraction oftotal individuals.

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desirable. First, policies focused on zero discrimination in opportunities should beencouraged. Second, policies that reduce the effect of family background on achild’s chances of acquiring skills and abilities should also be supported. Sinceinequality of opportunity forms a substantial part of total earnings (consumptionexpenditure) inequality in India, policies targeting the underlying problems arelikely to reduce the overall earnings inequality.

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Supporting Information

Additional Supporting Information may be found in the online version of this article:

Appendix 1: The Distribution of Per Capita Household Consumption Expenditure (COPC)Conditional on Father’s Education (Urban India)

Appendix 2: Cohort Wise Mean Annual Earnings (in Indian Rupees) by Caste, Religion, Region,and Father’s Occupation

Please note: Wiley-Blackwell are not responsible for the content or functionality of any support-ing materials supplied by the authors. Any queries (other than missing material) should be directed tothe corresponding author for the article.

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