A Structural Analysis of the Correlated Random Coefficient Wage Regression Model

Working Paper: CEPR ID: DP3601

Authors: Christian Belzil; Jrgen Hansen

Abstract: We estimate a finite mixture dynamic programming model of schooling decisions in which the log wage regression function is set in a random coefficient framework. The model allows for absolute and comparative advantages in the labour market and assumes that the population is composed of eight unknown types. Overall, labour market skills (as opposed to taste for schooling) appear to be the prime factor explaining schooling attainments. The estimates indicate a higher cross-sectional variance in the returns to experience than in the returns to schooling. From various simulations, we find that the sub-population mostly affected by a counterfactual change in the utility of attending school is composed of individuals who have any combination of some of the following attributes: absolute advantages in the labour market, high returns to experience, low utility of attending school and relatively low returns to schooling. Unlike what is often postulated in the average treatment effect literature, the weak correlation (unconditional) between the returns to schooling and the individual reactions to treatment is not sufficient to reconcile the discrepancy between OLS and IV estimates of the returns to schooling often found in the literature.

Keywords: comparative advantages; dynamic programming; dynamic self-selection; random coefficient; returns to schooling

JEL Codes: J20; J30


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
experience (Y60)schooling (I21)
labor market skills (J24)schooling attainments (I21)
individual differences in taste for schooling (I21)schooling attainments (I21)
returns to schooling (I26)discrepancies between OLS and IV estimates (C26)
average return to experience (I26)wage determination (J31)
average return to schooling (I26)wage determination (J31)

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