TY - BOOK AU - Matsushita,Yukitoshi AU - Otsu,Taisuke TI - Second-order refinement of empirical likelihood for testing overidentifying restrictions SN - 02664666 AV - HB139.T52 ECO PY - 2013/// CY - Cambridge PB - Cambridge University Press KW - Empirical likelihood KW - GMM KW - Overidentification test KW - Bartlett correction KW - Higher order analysis N2 - This paper studies second-order properties of the empirical likelihood overidentifying restriction test to check the validity of moment condition models. We show that the empirical likelihood test is Bartlett correctable and suggest second-order refinement methods for the test based on the empirical Bartlett correction and adjusted empirical likelihood. Our second-order analysis supplements the one in Chen and Cui (2007, Journal of Econometrics141, 492–516) who considered parameter hypothesis testing for overidentified models. In simulation studies we find that the empirical Bartlett correction and adjusted empirical likelihood assisted by bootstrapping provide reasonable improvements for the properties of the null rejection probabilities UR - https://doi.org/10.1017/S0266466612000369 ER -