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A joint serial correlation test for linear panel data models

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  • Yamagata, Takashi

Abstract

This paper proposes a joint error serial correlation test to be applied to linear panel data models after generalised method of moments estimation. This new test is an alternative inferential tool to both the m2 test of [Arellano, M., Bond, S., 1991. Some tests of specification for panel data: Monte Carlo evidence and an application to employment equations. Review of Economic Studies 58, 277-297] and the overidentifying restrictions test. The proposed test, called the test, involves an examination of the joint significance of estimates of second to pth-order (first differenced) error serial correlations. The small sample properties of the test are investigated by means of Monte Carlo experiments. The evidence shows that the proposed test mostly outperforms the conventional m2 test and has high power when the overidentifying restrictions test does not, under a variety of alternatives including slope heterogeneity and cross section dependence.

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  • Yamagata, Takashi, 2008. "A joint serial correlation test for linear panel data models," Journal of Econometrics, Elsevier, vol. 146(1), pages 135-145, September.
    • Handle: RePEc:eee:econom:v:146:y:2008:i:1:p:135-145
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    6. Jianhong Wu & Lixing Zhu, 2012. "Estimation of and testing for random effects in dynamic panel data models," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(3), pages 477-497, September.
    7. Jochmans, K., 2019. "Testing Correlation in Error-Component Models," Cambridge Working Papers in Economics 1993, Faculty of Economics, University of Cambridge.
    8. Koen Jochmans, 2020. "Testing for correlation in error‐component models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 35(7), pages 860-878, November.
    9. Hayakawa, Kazuhiko, 2019. "Alternative over-identifying restriction test in the GMM estimation of panel data models," Econometrics and Statistics, Elsevier, vol. 10(C), pages 71-95.
    10. Jason W. Ridge & Federico Aime & Margaret A. White, 2015. "When much more of a difference makes a difference: Social comparison and tournaments in the CEO's top team," Strategic Management Journal, Wiley Blackwell, vol. 36(4), pages 618-636, April.
    11. Montes-Rojas Gabriel & Sosa-Escudero Walter & Zincenko Federico, 2020. "Level-Based Estimation of Dynamic Panel Models," Journal of Econometric Methods, De Gruyter, vol. 9(1), pages 1-23, January.
    12. Wu, Jianhong, 2020. "A joint test for serial correlation and heteroscedasticity in fixed-T panel regression models with interactive effects," Economics Letters, Elsevier, vol. 197(C).
    13. Fritsch, Markus, 2019. "On GMM estimation of linear dynamic panel data models," Passauer Diskussionspapiere, Betriebswirtschaftliche Reihe B-36-19, University of Passau, Faculty of Business and Economics.
    14. Fernando Arbués & Inmaculada Villanúa & Ramón Barberán, 2010. "Household size and residential water demand: an empirical approach ," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 54(1), pages 61-80, January.

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