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Tests for the error component model in the presence of local misspecification

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  • Bera, Anil K.
  • Sosa-Escudero, Walter
  • Yoon, Mann

Abstract

It is well known that most of the standard speci¯cation tests are not valid when the alternative hypothesis is misspeci¯ed. This is particularly true in the error component model, when one tests for either random e®ects or serial correlation without taking account of the presence of the other e®ect. In this paper we study the size and power of the standard Rao's score tests analytically and by simulation when the data is contaminated by local misspeci¯cation. These tests are adversely a®ected under misspeci¯cation. We suggest simple procedures to test for random e®ects (or serial correlation) in the presence of local serial correlation (or random e®ects), and these tests require ordinary least squares residuals only. Our Monte Carlo results demonstrate that the suggested tests have good ¯nite sample properties for local misspeci¯cation, and in some cases even for far distant misspeci¯cation. Our tests are also capable of detecting the right direction of the departure from the null hypothesis. We also provide some empirical illustrations to highlight the usefulness of our tests.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Econometrics.

Volume (Year): 101 (2001)
Issue (Month): 1 (March)
Pages: 1-23

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Handle: RePEc:eee:econom:v:101:y:2001:i:1:p:1-23

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Web page: http://www.elsevier.com/locate/jeconom

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  1. Saikkonen, Pentti, 1989. "Asymptotic relative efficiency of the classical test statistics under misspecification," Journal of Econometrics, Elsevier, vol. 42(3), pages 351-369, November.
  2. Lillard, Lee A & Willis, Robert J, 1978. "Dynamic Aspects of Earning Mobility," Econometrica, Econometric Society, vol. 46(5), pages 985-1012, September.
  3. Anderson, T. W. & Hsiao, Cheng, 1982. "Formulation and estimation of dynamic models using panel data," Journal of Econometrics, Elsevier, vol. 18(1), pages 47-82, January.
  4. Breusch, T S & Pagan, A R, 1980. "The Lagrange Multiplier Test and Its Applications to Model Specification in Econometrics," Review of Economic Studies, Wiley Blackwell, vol. 47(1), pages 239-53, January.
  5. Russell Davidson & James G. MacKinnon, 1984. "Implicit Alternatives and the Local Power of Test Statistics," Working Papers 556, Queen's University, Department of Economics.
  6. Bera, Anil K. & Yoon, Mann J., 1993. "Specification Testing with Locally Misspecified Alternatives," Econometric Theory, Cambridge University Press, vol. 9(04), pages 649-658, August.
  7. Baltagi, Badi H. & Chang, Young-Jae & Li, Qi, 1992. "Monte Carlo results on several new and existing tests for the error component model," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 95-120.
  8. Baltagi, Badi H. & Li, Qi, 1995. "Testing AR(1) against MA(1) disturbances in an error component model," Journal of Econometrics, Elsevier, vol. 68(1), pages 133-151, July.
  9. Marc Nerlove, 1968. "Further Evidence on the Estimation of Dynamic Economic Relations from a Time Series of Cross-Sections," Cowles Foundation Discussion Papers 257, Cowles Foundation for Research in Economics, Yale University.
  10. Baltagi, Badi H. & Li, Qi, 1991. "A joint test for serial correlation and random individual effects," Statistics & Probability Letters, Elsevier, vol. 11(3), pages 277-280, March.
  11. Honda, Yuzo, 1985. "Testing the Error Components Model with Non-normal Disturbances," Review of Economic Studies, Wiley Blackwell, vol. 52(4), pages 681-90, October.
  12. Hillier, Grant H., 1991. "On multiple diagnostic procedures for the linear model," Journal of Econometrics, Elsevier, vol. 47(1), pages 47-66, January.
  13. Bera, Anil K. & Jarque, Carlos M., 1982. "Model specification tests : A simultaneous approach," Journal of Econometrics, Elsevier, vol. 20(1), pages 59-82, October.
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Citations

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Cited by:
  1. Walter Sosa-Escudero & Mariana Marchionni & Omar Arias, 2006. "Sources of Income Persistence: Evidence from Rural El Salvador," CEDLAS, Working Papers 0037, CEDLAS, Universidad Nacional de La Plata.
  2. Dhehibi, Boubaker & Gil, Jose Maria & Angulo, Ana Maria, 2003. "Nutrient Effects On Consumer Demand: A Panel Data Approach," 2003 Annual Meeting, August 16-22, 2003, Durban, South Africa 25881, International Association of Agricultural Economists.
  3. Walter Sosa Escudero & Anil K. Bera, 2008. "Tests for Unbalanced Error Component Models Under Local Misspecication," CEDLAS, Working Papers 0065, CEDLAS, Universidad Nacional de La Plata.
  4. Badi H. Baltagi & Byoung Cheol Jung & Seuck Heun Song, 2008. "Testing for Heteroskedasticity and Serial Correlation in a Random Effects Panel Data Model," Center for Policy Research Working Papers 111, Center for Policy Research, Maxwell School, Syracuse University.
  5. Bera, Anil K. & Montes-Rojas, Gabriel & Sosa-Escudero, Walter, 2009. "Testing under local misspecification and artificial regressions," Economics Letters, Elsevier, vol. 104(2), pages 66-68, August.
  6. Zhenlin Yang, 2009. "A Robust LM Test for Spatial Error Components," Working Papers 04-2009, Singapore Management University, School of Economics.
  7. Carmen Pilar Martí Ballester, 2014. "Determinants of equity pension plan flows," Estudios de Economia, University of Chile, Department of Economics, vol. 41(1 Year 20), pages 125-148, June.
  8. Pedro Elosegui & Paula Español & Demian Panigo & Juan Sotes Paladino, 2006. "Methodological Alternatives for the Analysis of Financial Constraints in Argentina," BCRA Working Paper Series 200602, Central Bank of Argentina, Economic Research Department.
  9. Walter Sosa Escudero, 2007. "Testing for Persistence in the Error Component Model:A One-Sided Approach," Working Papers 94, Universidad de San Andres, Departamento de Economia, revised Feb 2007.
  10. Li, Yushu & Andersson, Fredrik N. G., 2014. "A simple wavelet-based test for serial correlation in panel data models," Discussion Papers 2014/11, Department of Business and Management Science, Norwegian School of Economics.
  11. Kleiber, Christian & Zeileis, Achim, 2010. "The Grunfeld Data at 50," MPRA Paper 20841, University Library of Munich, Germany.
  12. Martí Ballester, Carmen Pilar, 2013. "Determinants of equity pension plan flows," Economics Discussion Papers 2013-15, Kiel Institute for the World Economy.
  13. Okui, Ryo, 2009. "Testing serial correlation in fixed effects regression models based on asymptotically unbiased autocorrelation estimators," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(9), pages 2897-2909.
  14. Walter Sosa Escudero & Federico Zincenko, 2008. "Tests for Dynamic Effects in Linear Panel Data Models," Working Papers 95, Universidad de San Andres, Departamento de Economia, revised Feb 2008.
  15. Wu, Jianhong & Li, Guodong, 2014. "Moment-based tests for individual and time effects in panel data models," Journal of Econometrics, Elsevier, vol. 178(P3), pages 569-581.
  16. Yves Croissant & Giovanni Millo, . "Panel Data Econometrics in R: The plm Package," Journal of Statistical Software, American Statistical Association, vol. 27(i02).
  17. Giovanni Millo & Gaetano Carmeci, 2011. "Non-life insurance consumption in Italy: a sub-regional panel data analysis," Journal of Geographical Systems, Springer, vol. 13(3), pages 273-298, September.

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