Standard tests are generally not applicable in panel data models with selection. The paper shows how the Hausman specification test and the Sargan–Hansen test for overidentifying restrictions can be generalized to panel data models with unobserved heterogeneity and sample selection.

We consider estimation of panel data models with sample selection when the equation of interest contains endogenous explanatory variables as well as unobserved heterogeneity. We offer a detailed analysis of the pooled two-stage least squares (pooled 2SLS) and fixed effects-2SLS (FE-2SLS)...

We consider estimation of panel data models with sample selection when the equation of interest contains endogenous explanatory variables as well as unobserved heterogeneity. Assuming that appropriate instruments are available, we propose several tests for selection bias and two estimation...