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Title: Controlling for Ability Using Test Scores
Resulting in 1 citation.
1. Williams, Benjamin
Controlling for Ability Using Test Scores
Journal of Applied Econometrics published online (10 January 2019): DOI: 10.1002/jae.2683.
Also: https://onlinelibrary.wiley.com/doi/10.1002/jae.2683
Cohort(s): NLSY79
Publisher: Wiley Online
Keyword(s): Monte Carlo; Test Scores/Test theory/IRT

Permission to reprint the abstract has not been received from the publisher.

This paper proposes a semiparametric method to control for ability using standardized test scores, or other item response assessments, in a regression model. The proposed method is based on a model in which the parameter of interest is invariant to monotonic transformations of ability. I show that the estimator is consistent as both the number of observations and the number of items on the test grow to infinity. I also derive conditions under which this estimator is root‐n consistent and asymptotically normal. The proposed method is easy to implement, does not impose a parametric item response model, and does not require item level data. I demonstrate the finite sample performance in a Monte Carlo study and implement the procedure for a wage regression using data from the NLSY1979.
Bibliography Citation
Williams, Benjamin. "Controlling for Ability Using Test Scores." Journal of Applied Econometrics published online (10 January 2019): DOI: 10.1002/jae.2683.