The Mincerian Equation
Our measure of earnings is monthly earnings in January of each year, including overtime pay and excluding bonuses. The stock of training at time t is defined as the sum of average monthly hours of training from 1998 to the calendar year t-1. Therefore, we associate in (3) wages in year t with the training undertaken up to year t-1, and treat the latter as a predetermined variable. As in the case of the training equations, we pool the available information and include in the vector of controls X firm dummies, a linear trend, and a quadratic trend. Since we estimate (3) using fixed-effects, the coefficients associated with time-invariant variables, such as education, gender, tenure, and experience in 1998, cannot be estimated. Moreover, the inclusion of trends precludes the identification of age effects.
Our results in Table 9 are organized in four columns. In the first and third columns we assume that unobserved and time-invariant talent does not affect the private returns to training and estimate (3) on the full sample and on the subsample of production workers using fixed-effects. In the second and fourth columns we allow private returns to training to be affected by unobserved talent and replace the observed years of education with the predicted years from the estimate of equation (4). By so doing, we combine fixed effects with instrumental variables.[FN18]
Table 9. Fixed-Effects Regression of the Mincerian Equation, Full Sample and
Production Workers Only, 1998-2001. (robust standard errors within
parentheses, p-values within brackets)
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Description All Workers All Workers Production Production
with Years Workers Workers with
of Education Years of
Treated as Education
Endogenous Treated as
Endogenous
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Sum of OJT from 1998 -0.003 -0.010** -0.004 -0.013***
to Year t (SOJT)
(.002) (.004) (.003) (.005)
Sum of OFFJT from -0.019* -0.018* -0.006 .002
1998 to Year t
(SOFFJT)
(.011) (.011) (.016) (.013)
Years of Education 0.0005** 0.001*** 0.0006** .0013***
* SOJT
(.0002) (.0003) (.0003) (.0004)
Years of Education 0.0017** 0.0016* 0.0006 .00003
* SOFFJT
(.0007) (.0008) (.010) (.001)
Wald Test for the
Interactions of
Training
and Education [.002] [.0002] [.004] [.005]
eln W 0.0024 0.0022 0.0025 0.0016
eSOJT [.000] [.001] [.005] [.074]
eln W 0.0000 0.0009 0.0010 0.0024
e SOFFJT [.990] [.680] [.779] [.569]
Observations 4,536 4,481 2,979 2,943
R2 0.033 0.035 0.018 0.019
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Notes: See notes to Table 5. Each regression includes a linear and a quadratic trend.
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