Testing Identifying Assumptions in Nonseparable Panel Data Models

نویسنده

  • Dalia A. Ghanem
چکیده

Recent work on nonparametric identification of average partial effects (APEs) from panel data require restrictions on individual or time heterogeneity. Identifying assumptions under the “generalized first-differencing” category, such as time homogeneity (Chernozhukov, Fernandez-Val, Hahn, and Newey, 2013), have testable equality restrictions on the distribution of the outcome variable. This paper proposes specification tests based on these restrictions. The test statistics are bootstrap-adjusted Kolmogorov-Smirnov and Cramer-von-Mises statistics that are shown to be asymptotically valid and have good finite-sample properties in Monte Carlo simulations. An empirical application illustrates the merits of testing nonparametric identification. JEL: C1, C14, C21, C23, C25

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Testing Identifying Assumptions in Nonseparable Panel Data Models Supplementary Appendix

(i) βt(xt → xt|Xi = x) = E[Yit|Xi = x′]− E[Yit|Xi = x], (ii) FYiτ |Xi(.|x) = FYiτ |Xi(.|x) Proof (i) follows by the correlated-random-effects assumption and h(x) = h(x′) βt(xt → xt|Xi = x′) = ∫ (ξt(x ′ t, a, u)− ξt(x, a, u))FAi,Uit|Xi(a, u|x ′) = E[Yit|Xi = xt]− ∫ ξt(xt, a, u))dFAi,Uit|Xi(a, u|h(x)) = E[Yit|Xi = x]− E[Yit|Xi = x]. ∗University of California, Davis, One Shields Ave, Davis CA 9561...

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تاریخ انتشار 2015