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Dismantling the Legacy of Caste - Centre For Development Economics

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B4.<br />

p ( )( h q q q )<br />

ij 0 0 1 ij q ij m mij<br />

p pij<br />

( )( h q q q ) g( r s ) <br />

2<br />

2 *<br />

ij q ij m mij<br />

p pij<br />

r i j j ij<br />

Independence <strong>of</strong><br />

*<br />

<br />

ij<br />

from r<br />

i<br />

and<br />

s<br />

j<br />

implies that<br />

is independent <strong>of</strong> g( r s ). Thus, it<br />

follows from (B4) that least squares estimation <strong>of</strong> (B1) yields an unbiased estimators <strong>of</strong> <br />

r and<br />

<strong>the</strong> caste fixed effects<br />

*<br />

ij<br />

<br />

j<br />

. From (B4) it is also evident that <strong>the</strong> least squares estimators <strong>of</strong> <strong>the</strong><br />

i<br />

j<br />

intercept,<br />

analysis.<br />

i , and 2 i<br />

in (B1) may be biased. However, those coefficients are not <strong>the</strong> focus <strong>of</strong> <strong>the</strong><br />

39

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