Wage Inequality in India

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    SPECIAL ARTICLE

    Economic & Political Weekly EPW decemBER 15, 2012 vol xlviI no 50 59

    But this is hardly ever the case, and, indeed, a large part of the

    workforce in the developing world is either unemployed or

    engaged in extremely low-paid contractual employment.

    Trade openness increases the elasticity of labour demand and

    thus erodes the bargaining power of labour (Rodrik 1997).

    Increasing trade openness in India is associated with increas-

    ing labour productivity and also wage inequality among skilled

    and unskilled workers in the organised manufacturing sector

    (Galbraith et al 2004; Dutta 2005; Das 2007). One of the major

    explanations put forward for this rising wage inequality is the

    rise in relative demand for skilled labour due to skill-biased

    technological change. Our objective is not to relate wage

    inequality to the skilled-biased technological change as such

    or to examine what impact trade openness has had on wage

    inequality, but to explore different dimensions of wage

    inequality as observed within and between different occupa-

    tional groups, men and women workers in rural and urban

    areas by taking sectoral divisions in India after one and a half

    decade of economic reforms.

    A few studies captured some aspects of wage inequality inIndia. Using employment and unemployment surveys 1993-94

    and 1999-2000, Glinskaya and Lokshin (2005) investigated

    wage differentials between the public and private sectors in

    India, and found, by applying their own methodologies that

    the public sector premium ranges between 62% and 102% over

    the private formal sector. Galbraith et al (2004) estimated

    Theil indices of pay, without specifying whether it covers total

    wages or total emoluments, in the registered manufacturing

    sector in India covering the period 1979 to 1997 and observed a

    rising trend in pay inequality among workers in this sector

    during the post-liberalisation period. This increase is driven

    primarily by increases in inequality between industry groups

    rather than by regional inequality. By using data on minimumdaily wages for the lowest paid unskilled workers in the organ-

    ised sector for the periods 1985-86 and 1993-94, Acharyya and

    Marjit (2000) illustrated the widening gap between the mini-

    mum and maximum wage during this period. Dutta (2005)

    observed that wage inequality in India increased significantly

    during the 1990s.

    This paper contributes to the literature on inequality by tak-

    ing into account different dimensions of wage inequality as

    observed in the Indian labour market during one and a half

    decades of the post-economic reforms period in a comprehen-

    sive way. We have, first, used Gini index to look at the extent of

    wage inequality across sectors, gender and activity status in

    India. But the conventional approach to decomposing the

    inequality index simply by population subgroups in the shape

    of within and between components fails to capture the

    fundamental determinants of inequality. To locate the marginal

    effects of the major determinants of wage, namely, education,

    experience and other personal or household characteristics,

    on total wage inequality as suggested in the literature on hu-

    man capital theory,1 we carry out decomposition of inequality

    by factor components. The factors affecting wages will also

    determine wage inequality and one could identify a list of factors

    which may explain wage gaps among workers.

    The paper is organised as follows. Section 2 presents some

    methodological issues in measuring wage inequality and the

    wage regression model. Section 3 describes the data and the

    sample used in this study. Section 4 provides the estimated

    results of wage differentials in India. The estimate of the wage

    regression model and the contributions of some major covari-

    ates to wage inequality are examined in Section 5. Section 6

    summarises and concludes.

    2 Measuring Wage Inequality

    2.1 Unidimensional Gini Index

    The Gini index (Gini 1912), associated with Lorenz (1905),2 is

    used in this study as a summary measure of wage inequality

    both within and between groups of workers by sectors in

    rural and urban India. The index is a fraction of the area

    between the equivalence line3 L(p) = p and the Lorenz curve.

    If the area between the line of perfect equality and Lorenz

    curve is A, and the area under the Lorenz curve is B, then

    the Gini index isA/(A+B). SinceA+B = 0.5, the Gini coefficient,G = A/(0.5) = 2A = 1-2B. In symbolic representation,

    n n

    | yi y

    j|

    i=1 j=1G = ...(1)2n2 y

    Here, n is the number of wage earners andy is the mean wage.

    The Gini index satisfies the Pigou-Dalton transfer principle

    by which if income is transferred from a rich person to a poor

    person the resulting distribution is more equal. It also follows

    the principles of anonymity, scale independence and popula-

    tion independence. The Gini index is able to provide a more

    meaningful measurement of inequality between different

    subgroups (Dagum 1997, 1980). It takes into account not only

    the differences between means, but also differences betweenother characteristics of the distributions of subgroups of

    the population.

    Let a population ofn individuals, with wage vector (y1, y

    2, ...,

    yn) and mean wage incomey , is disaggregated in k subgroups,

    with n =k

    j=1

    nj and subgroup meanyj.

    The Gini index between subgroupsj and h can be expressed as

    1 nj nhG

    jh= | yji yhr| ...(2)n

    jn

    h(y

    j+ y

    h)i=1r=1

    IfF(y) be the cumulative distribution function of wage, one

    can calculate the expected wage difference between groups j

    and h as

    yd1

    jh= dF

    j(y) (y x)dF

    h(x), for y

    ji> y

    hrand y

    j> y

    h0 0

    yd2

    jh= dF

    h(y) (y x)dF

    j(x), for y

    ji< y

    hrand y

    j> y

    h...(3)

    0 0

    The relative economic affluence is defined as

    d1jh

    d2jh

    Djh

    = ...(4)d1

    jh+ d2

    jh

    If the population share and wage share in subgroup j

    arenj

    pj

    =n

    andpjyj

    sj

    =y

    respectively, the contribution to total

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    inequality attributable to the differences between the k popu-

    lation subgroups is

    k k

    Gb

    = Gjh

    Djh

    (pjs

    h+ p

    hsj) ...(5)

    j=1 h=1 jh

    The Gini index for subgroup j is given by n

    j

    nj

    (yij yrj) i=1 r=1G

    jj= ...(6)

    2n2j

    yj

    The within group inequality index is the sum of Gini indices

    for all subgroups weighted by the product of population shares

    and wage shares of the subgroups:

    Gw

    = k

    j=1G

    jjp

    jsj

    ...(7)

    If subgroups are non-overlapping, total inequality can be

    expressed as the sum of within group and between group indices.

    The groups are non-overlapping means each individuals wage

    income in one group is greater or lower than each individual

    in the other groups. But, if the subgroups are overlapping,Dagum (1997) suggests another component of inequality meas-

    uring the contribution of the intensity of transvariation. This

    component is a part of the between-group disparities issued from

    the overlap between the two distributions. The contribution of

    the transvariation between the subpopulations to G:

    Gt=

    k

    j=1k

    h=1G

    jh(1 D

    jh) (p

    js

    h+ p

    hsj) ...(8)

    hk

    Thus Gini index can be decomposed into three components:

    within group inequality, between group inequality and ine-

    quality due to group overlapping:

    G = Gw

    + Gb

    + Gt

    ...(9)

    2.2 Wage Regression Model

    A simple way to look at the wage gap between two or more

    groups of workers is to consider group dummies in a single

    wage regression. The underlying assumption here is that wages

    differ between groups by a fixed amount, while the individual

    and other characteristics have the same effect on their wages.

    A more flexible approach to investigate the earnings gap relates

    to the human capital theory (Mincer 1958, 1974; Becker 1964),

    where an individuals wage rate reflects the productivity

    potential based on various human capital characteristics.

    According to human capital theory, accumulation of human

    capital through education enhances workers productivity

    and their life cycle earnings. Mincer (1974) estimated the

    statistical relationship between market wages, education and

    experience. The Mincerian wage regression, however, dis-

    regards the endogeneity of post-schooling human capital ac-

    cumulation and treats schooling and training symmetrically.

    Griliches (1977) pointed out several econometric problems

    that arise in estimating the returns to schooling and, in

    particular, those pertaining to the measurement of both

    schooling and ability.

    We assume the following log-linear wage regression model:

    ln yji= xj

    ij + j

    i...(10)

    Hereyjiis wage of individual i in groupj. Vectorxj

    icontains a set

    of explanatory variables (covariates) augmented of job attributes,

    labour market features and demographic characteristics for

    group j, jiis an identically independently distributed (i.i.d.)

    idiosyncratic error term with mean zero and constant variance2.

    As the mean of the residual term in the wage equation is

    zero, the inequality index for it cannot be defined by the usual

    process. Again, as the intercept component, representing the

    effects of other factors, is constant, the inequality index for it

    will be zero. To overcome such problems, we can proceed in

    the following way. Let, and be the estimated wage using

    the intercept and without using it respectively. Then the

    contribution of the unobserved factors to total inequality is

    I(y) I() and that of the intercept term isI() I(), whereI()

    denotes the inequality index. By using the estimated wage

    equation we can calculate the predicted contributions of the

    major covariates to the expected overall inequality. We have

    utilised the Shapley decomposition approach developed by

    Shorrocks A F (1980), andAraar and Duclos (2008). This

    approach is based on the expected marginal contribution ofcovariates to the total inequality and can be obtained in the

    following manner. Ifyk

    is the estimated wage after replacing

    xk, the kth explanatory variable in the wage regression equation,

    by its sample mean, inequality inyk, denoted byI(y

    k), cannot

    be attributed toxk

    any more. This is because this replacement

    would eliminate any differences inxk

    among individuals. The

    contribution ofxk

    to total inequality,I(y) I(yk), obtained when

    only one independent variable xk is replaced by its sample

    mean in the wage equation, is the first round effect. By replacing

    two variablesxk

    andxlwith their sample means in computing

    ykl

    , one can obtain a second round contribution, I(yl) I(y

    lk)

    for k l, ofxk

    to total inequality. In the same way, the third

    round contribution can be obtained as I(yml) I(ymlk). Thisprocess continues until allxs are replaced by their sample means.

    3 The Data

    The data used in this study come from the NSS 61st round survey

    (2004-05) on employment and unemployment. The survey is

    based on stratified two-stage sampling. The 2001 Census villages

    in the rural sector and urban frame survey blocks in the urban

    sector are the first stage sample units. The final stage ultimate

    sample units are households selected by simple random sam-

    pling without replacement in both the sectors. The data set

    covers geographical areas all over India, excepting for a few

    regions.4 The cross-sectional survey is roughly representative

    of the national, state, and so-called NSS region level. It gathers

    information about demographic characteristics of household

    members, weekly time disposition, and their main and sec-

    ondary job activities. The principal job activities are defined

    for all household members as self-employed, regular salaried

    worker, casual wage labourer and so on.

    The sample selected for analysis in this study consists of

    96,162 persons working for wages. We define total wages as the

    sum of weekly cash and in-kind wages from the principal activity.

    Workers reported in the NSS schedule are of eight categories by

    enterprise type: proprietary male, proprietary female, proprietary

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    rural and urban locations in India. Wage inequality among

    rural workers is higher in both the public and private sectors,

    while it is lower in the informal sector as compared with the

    inequality among urban workers. Within the rural economy,

    inequality is much higher in the private formal sector. The con-

    tribution of between sector inequality to overall inequality in the

    countryside is more prominent than in urban areas (Table 2a).

    A considerable wage differentiation persists between men

    and women workers in the Indian labour market. The average

    wage for men workers, consisting of three-fourths of the total

    workers, is more than two and a half times the wage for women

    counterparts (Table 3). Wage differentials among women are

    higher than those among men workers. Wage inequality among

    women is the highest in the public sector as compared to the

    other sectors (Table 3a). On the other hand, wage differential

    among men workers is relatively more in the private sector. In

    the case of gender division of the workforce, the within group

    inequality contributes significantly more to overall inequality.

    In analysing wage inequality in the Indian labour market,

    we have looked at the employment status of workers. As self-

    employed workers do not earn wage income, we have ignored

    them in analysing wage distribution. Workers with regular em-

    ployment have a better chance of securing employment security,

    work security and social security than the casual workers.7 The

    extent of labour market flexibility is obvious in the distributional

    pattern of wage workers. A majority of workers in India (58%)

    are employed on a casual basis and the wage gap between casual

    and regular workers is substantial as expected (Table 4).

    Table 4a displays the composition of formal and informal

    employment along with mean weekly wage and inequality

    index of regular and casual workers. The wage rate for casual

    workers is lower in the public sector than even in the informal

    sector. However, the dispersion of wages among casual workers

    is lower than that among regular workers (Table 4a). Wage

    inequality among the former type of workers is relatively low

    in the private formal sector. Although workers permanently

    absorbed are paid better in the private sector, the pay inequalityamong them is the highest in that sector. The results in Table 4a

    reveal that the major portion of wage inequality, particularly

    for casual workers, is accounted for by inequality among indi-

    viduals between sectors rather than within a particular sector.

    5 Estimating a Wage Regression Model

    Wage in the labour market induces the way through which

    workers decide to provide their services. In India, as in other

    less developed countries, the labour market is not well developed

    and in many cases wages are determined not by the interaction

    of demand and supply but by a variety of ways. Some workers

    are paid wages on a daily basis, while some others who perform

    similar kind of work are paid on a tenure basis. Althoughworkers in the formal sector are organised under trade unions,

    those in the informal sector are unorganised. Thus the demand-

    supply analysis in a competitive frame may not be appropriate

    in understanding how wages and employment are determined

    in the Indian labour market. Although, at least theoretically,

    an individuals choice of job is based on the utility maximisa-

    tion principle, the choices for a large section of the workforce

    are highly restricted by various social and economic factors in

    a third world economy and in many cases they are forced to

    sell their capacity to labour without following the norms of

    optimisation. As mentioned above, in India more than 60% of

    the workers are absorbed in the informal sector.

    India has a long history of wage determination through an

    administrative process8 even in the organised sector. A serious

    attempt was taken by the interim government in 1946 to deter-

    mine wages and differentials in wage rates as between various

    occupations in major industries. The Industrial Policy Resolu-

    tion of 1948 emphasised fixation of statutory minimum wages

    in organised industries. In the Indian labour market, labourproductivity had not so far been a potent factor in the determi-

    nation of wages.Wage boards were set up through govern-ment initiatives for different industries where the government

    was the dominant player. Because of the increase in workers

    Table 3: Wage Inequality by Gender

    Mean Wage* Employment Share Gini IndexMale worker 802 76 0.50

    Female worker 310 24 0.58

    Overall inequality 0.55

    Contribution of within group inequality 0.37

    Contribution of between group inequality 0.10

    Contribution of group overlap inequality 0.08

    * Weekly wages in rupees.

    Source: As for Table 1.

    Table 3a: Wage Inequality among Men and Women across Sectors

    Mean Wage* Employment Share Gini Index

    Male Female Male Female Male Female

    Public sector 1,885 814 29 31 0.30 0.43

    Private formal sector 1,506 1,390 16 14 0.43 0.09

    Informal sector 587 534 54 55 0.38 0.38

    Overall inequality 0.50 0.58Contribution of within group inequality 0.09 0.10

    Contribution of between group inequality 0.44 0.60

    Contribution of group overlap inequality -0.04 -0.11

    * Weekly wages in rupees.

    Source: As for Table 1.

    Table 4: Wage Inequality by Types of Employment

    Mean Wage* Employment Share Gini Index

    Regular worker 1,308 42 0.45

    Casual worker 282 58 0.36

    Overall inequality 0.55

    Contribution of within group inequality 0.25

    Contribution of between group inequality 0.29

    Contribution of group overlap inequality 0.01

    * Weekly wages in rupees.

    Source: As for Table 1.

    Table 4a: Wage Inequality among Regular and Casual Workers across Sectors

    Mean Wage* Employment Share Gini Index

    Regular Casual Regular Casual Regular CasualWorker Worker Worker Worker Worker Worker

    Public sector 1,766 345 35 2 0.36 0.35

    Private formal sector 2,165 513 17 7 0.47 0.23

    Informal sector 719 395 48 91 0.42 0.35

    Overall inequality 0.45 0.36

    Contribution of within group inequality 0.15 0.08

    Contribution of between group inequality 0.25 0.56

    Contribution of group overlap inequality 0.05 -0.27

    * Weekly wages in rupees.

    Source: As for Table 1.

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    protests and labour militancy during the 1970s, wage bargain-

    ing took place at the industry level through the government

    controlled wage boards. Thus, it is hardly possible to explain

    wage differences among workers of roughly homogeneous

    type not only in the unorganised sector but also in the organ-

    ised sector in terms of the demand-supply mechanism. In an

    economy where the labour market is imperfect, and there is

    distress selling of labour, a multiplicity of wage rates may exist

    because of the lack of bargaining power of ordinary workers.

    In estimating wage regression for the Indian labour market

    and decomposing wage inequality based on the estimated

    wage equation, we have drawn on human capital theory which

    calls for inclusion of skill variables such as education, training

    and experience into the model. By following Mincer (1974), the

    wage equation is specified as

    yi=

    0+

    1x

    1i+

    2x

    2i+

    3x

    3i+

    4x2

    3i+

    i...(11)

    Herex1andx

    2denote the year of schooling in general educa-

    tion and technical education respectively,x3

    represents work

    experience proxied by age, and is the normally distributederror term with mean 0 and variance 2measuring the effects

    of unobservable factors. The quadratic term in experience

    allows for the possible diminishing return to human capital

    accumulated through schooling. The intercept term measures

    the initial ability. The coefficients 1 and

    2act as the

    marginal effects of schooling and technical know-how re-

    spectively, 3and

    4are those that correspond to the return to

    experience and reflect concavity of the age earnings profile

    when4

    is negative.

    Table 5 presents estimated coefficients of the wage equation

    specified in equation (11) for different sectors. The estimated

    results indicate that all explanatory variables are statistically

    significant at less than 1% level and the coefficients have thedesired sign. The marginal effects of education and technical

    knowledge on wage are higher in the private formal sector

    than in the others. But experience has a stronger positive effect in

    the public sector jobs. The diminishing return to human capi-

    tal is more effective in the private formal sector. As the effects

    of education, technical skill and experience are different in

    different sectors, workers endowed with education and skill of

    similar standard may receive different wage simply because

    they are absorbed in different sectors.

    On the basis of the estimated wage regression for different

    sectors as shown in Table 5, total inequality is decomposed into

    predicted contributions of the covariates used in equation (11).

    The Shapley decomposition of

    Gini coefficients on the basis of

    the estimated model is shown

    in Table 6. This decomposition

    allows us to have a clear idea

    on how each covariate contri-

    butes to the total inequality.

    There has been no mismatch

    in the variation of Gini indices

    of the actual wages reported

    in Table 1 and that of the esti-

    mated wages shown in Table 6 across different sectors. Wage

    inequality is the highest in the private formal sector.

    The entries in Table 6 are the predicted contributions ofthe major determinants of wage income used in this study to

    the Gini index of the estimated wages. Education is found to

    play a dominant role in determining total inequality in wages

    and in the private formal sector the contribution of variation

    in education level to the variation in wage is the highest. The

    contribution of work experience is also more in this sector.

    Technical knowledge contributes a little to total inequality

    particularly in the public sector. The results presented in

    Table 6 reveal that a considerable part of total inequality is

    accounted for by unobserved factors. The contributions of

    each covariate to total inequality are further decomposed

    into marginal contributions and are shown by the round ef-

    fects in Table 7. Round 1 effect of education (x1), for example,measures the contribution of education under the assump-

    tion that all covariates present in the wage equation. Round 2

    effect is its contribution after eliminating the effect of techni-

    cal skill on wage. The Round 3 contribution is obtained after

    removing the impact of technical skill and experience. In a

    similar way the Rounds 4 and 5 contributions of education

    Table 5: Estimated Results of Wage Regression

    Sectors Variables Coefficient s t-statistic P>t

    Public sector Intercept -2,402.44 -24.03 0

    x1

    167.40 75.57 0

    x2

    35.33 11.74 0

    x3

    85.50 17.19 0

    x23 -0.54 -8.96 0

    Private formal sector Intercept -2,146.96 -6.89 0

    x1

    178.86 17.93 0

    x2

    62.27 4.05 0

    x3

    75.30 4.26 0

    x23

    -0.55 -2.36 0.018

    Informal sector Intercept -429.34 -23.04 0

    x1

    56.21 69.51 0

    x2

    47.22 20.17 0

    x3

    26.43 24.82 0

    x23

    -0.23 -16.36 0

    Source: As for Table 1.

    Table 6: Absolute Contributions toTotal InequalityVariables Public Private Informal

    Sector Formal Sector

    Sector

    Intercept 0 0 0

    x1

    0.098 0.182 0.129

    x2

    0.007 0.023 0.014

    x3

    0.104 0.130 0.099

    x23

    0.000 0.003 0.008

    0.142 0.183 0.164

    Total 0.351 0.521 0.414

    Source: As for Table 1.

    Table 7: Marginal Contributions to Total Inequality

    Sectors Variables Round 1 Round 2 Round 3 Round 4 Round 5

    Public sector Intercept 0 0 0 0 0

    x1

    0.032 0.022 0.016 0.014 0.016

    x2

    0.003 0.001 0.001 0.001 0.001

    x3

    0.054 0.033 0.017 0.004 -0.004

    x23 0.028 0.01 -0.004 -0.014 -0.02

    Private formal sector Intercept 0 0 0 0 0

    x1

    0.052 0.038 0.03 0.029 0.033

    x2

    0.007 0.004 0.003 0.004 0.005

    x3

    0.069 0.04 0.019 0.005 -0.004

    x23

    0.036 0.011 -0.006 -0.017 -0.022

    Informal sector Intercept 0 0 0 0 0

    x1

    0.04 0.028 0.021 0.019 0.022

    x2

    0.003 0.002 0.002 0.003 0.003

    x3

    0.067 0.038 0.014 -0.004 -0.016

    x23

    0.041 0.016 -0.00 4 -0.018 -0.027

    Source: As for Table 1.

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    are obtained. Work experience has an inequality reducing

    effect, although it is very marginal in all sectors only after

    removing the impacts of all other covariates on wage at

    Round 5.

    6 Conclusions

    Inequality in the labour market is a significant determinant of

    disparities in living standards. This study is essentially an em-

    pirical exercise in exploring inequality in the Indian labour

    market. It comprehensively examines the structure of wage in-

    equality and employment for different types of male and female

    workers engaged in formal and informal sectors both in the

    rural and urban economy in India with the NSS 61st round

    (2004-05) household level information on employment and

    unemployment in India. A substantial wage gap exists between

    workers engaged in different sectors. Workers in the informal

    sector are paid even less than one-third of the formal sector

    wage. In India, the average wage in the formal private sector

    job is higher than that in the public sector.

    The wage differential is higher in rural as compared to urbanareas, and is also higher among women than among men

    workers. By examining wages in public, private-formal and

    informal sectors, it is observed that the differences in wages

    among workers are the highest in the private-formal sector.

    Wage inequality among regular workers is considerably higher

    than that among casual workers. Women workers earn much

    lower wages than their men counterparts and inequality

    among the former is much higher than among the latter.

    Surprisingly enough, wage inequality among women is the

    highest in public sector jobs in the country.

    Decomposition of wage inequality by sub-population reveals

    that a significant part of wage inequality as observed in

    India is accounted for by inequality between groups rather

    than inequality within group for every type of working

    people. In fact, wage inequality persists in India mainly

    because of significant wage differences between sectors. But

    gender inequality in wage earnings is explained more by

    the within component than the between component of

    total inequality.

    Estimating results of the wage regression model suggest

    that the effects of education, technical skill and experiences on

    wage are different across sectors, and this is, probably, why

    wage inequality persists among workers of a roughly homoge-

    neous type between sectors. It is observed that education has

    more effect on the expected wage and also on wage inequalityin the Indian labour market. The study also infers about the

    presence of diminishing returns to human capital in deter-

    mining wages. However, a significant part of wage inequality

    in India is accounted for by factors which are not considered

    in human capital theory.

    Notes

    1 Human capital is accumulated through educa-tion in enhancing productivity and increasinglife cycle earnings.

    2 The Lorenz curve , L (p),plots the relationshipbetween the cumulative percentage of recipientunits, arranged in ascending order of income,and the cumulative percentage of income

    they earn.3 If all had the same income, the cumulative per-

    centage of total income held by any bottomproportionp of the population would also bep.

    4 (i) Leh (Ladakh) and Kargil districts of Jammuand Kashmir, (ii) interior villages of Nagalandsituated beyond five kilometres of the bus route,and (iii) villages in Andaman and NicobarIslands which remain inaccessible throughoutthe year.

    5 The informal sector consists of all private enter-prises owned by individuals or householdsengaged in the sale and production of goodsand services operated on a proprietary or part-nership basis and with less than 10 workers.

    6 All public sector units as well as the private sec-tor units with employment of 10 or more work-ers using power and 20 or more workers w ith-out using power form the formal or organised

    sector, while the rest fall into the private un-organised or informal sector.

    7 Casual workers are informal workers consist-ing of those who have worked in unorganisedenterprises or households and workers in theformal sector without any employment or socialsecurity benefits provided by the employers.

    8 For detail see Report of the National Commis-sion on Labour (2002).

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