Bounds on Average Effects in Discrete Choice Panel Data Models

Abstract: In discrete choice panel data, the estimation of average effects is crucial for quantifying the effect of covariates, and for policy evaluation and counterfactual analysis. This task is challenging in short panels with individual-specific effects due to partial identification and the incidental parameter problem. In particular, estimation of the sharp identified set is practically infeasible at realistic sample sizes whenever the number of support points of the observed covariates is large, such as when the covariates are continuous. In this paper, we therefore propose estimating outer bounds on the identified set of average effects. Our bounds are easy to construct, converge at the parametric rate, and are computationally simple to obtain even in moderately large samples, independent of whether the covariates are discrete or continuous. We also provide asymptotically valid confidence intervals on the identified set.