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A Simple Framework for Non-Parametric Specification Testing

  • Ellison, G.
  • Ellison, F.

This paper presents a simple framework for testing the specification of parametric conditional means. The test statistics are based on quadratic forms in the residuals of the null model. Under general assumptions the test statistics are asymptotically normal under the null. With an appropriate choice of the weight matrix, the tests are shown to be consistent and to have good local power. Specific implementations involving matrices of bin and kernel weights are discussed. Finite sample properties are explored in simulations and an application to some parametric models of gasoline demand is presented.

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Paper provided by Harvard - Institute of Economic Research in its series Harvard Institute of Economic Research Working Papers with number 1662.

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Length: 31 pages
Date of creation: 1993
Date of revision:
Handle: RePEc:fth:harver:1662
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  1. Newey, Whitney K, 1985. "Maximum Likelihood Specification Testing and Conditional Moment Tests," Econometrica, Econometric Society, vol. 53(5), pages 1047-70, September.
  2. Gozalo, Pedro L., 1993. "A Consistent Model Specification Test for Nonparametric Estimation of Regression Function Models," Econometric Theory, Cambridge University Press, vol. 9(03), pages 451-477, June.
  3. Hong, Yongmiao & White, Halbert, 1995. "Consistent Specification Testing via Nonparametric Series Regression," Econometrica, Econometric Society, vol. 63(5), pages 1133-59, September.
  4. Hausman, Jerry, 2015. "Specification tests in econometrics," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 38(2), pages 112-134.
  5. Chevalier, J. & Ellison, G., 1996. "Risk Taking by Mutual Funds as a Response to Incentives," Working papers 96-3, Massachusetts Institute of Technology (MIT), Department of Economics.
  6. Davidson, Russell & MacKinnon, James G, 1981. "Several Tests for Model Specification in the Presence of Alternative Hypotheses," Econometrica, Econometric Society, vol. 49(3), pages 781-93, May.
  7. Bierens, Herman J., 1982. "Consistent model specification tests," Journal of Econometrics, Elsevier, vol. 20(1), pages 105-134, October.
  8. repec:cup:etheor:v:9:y:1993:i:3:p:451-77 is not listed on IDEAS
  9. Alan Duncan & Andrew Jones, 1994. "On the specification of labour supply models: a non-parametric evaluation," IFS Working Papers W94/03, Institute for Fiscal Studies.
  10. Delgado, Miguel A & Stengos, Thanasis, 1994. "Semiparametric Specification Testing of Non-nested Econometric Models," Review of Economic Studies, Wiley Blackwell, vol. 61(2), pages 291-303, April.
  11. Hausman, J.A. & Newey, W.K., 1992. "Nonparametric Estimation of Exact Consumers Surplus and Deadweight Loss," Working papers 93-2, Massachusetts Institute of Technology (MIT), Department of Economics.
  12. Fan, Yanqin & Li, Qi, 1996. "Consistent Model Specification Tests: Omitted Variables and Semiparametric Functional Forms," Econometrica, Econometric Society, vol. 64(4), pages 865-90, July.
  13. Yatchew, Adonis John, 1992. "Nonparametric Regression Tests Based on Least Squares," Econometric Theory, Cambridge University Press, vol. 8(04), pages 435-451, December.
  14. Wooldridge, Jeffrey M., 1992. "A Test for Functional Form Against Nonparametric Alternatives," Econometric Theory, Cambridge University Press, vol. 8(04), pages 452-475, December.
  15. Glenn Ellison & Sara Fisher Ellison, 1998. "A Simple Framework for Nonparametric Specification Testing," NBER Technical Working Papers 0234, National Bureau of Economic Research, Inc.
  16. Thomas M. Stoker & Diego Rodríguez, 1993. "A regression test of semiparametric index model specification," Economics Working Papers 48, Department of Economics and Business, Universitat Pompeu Fabra.
  17. Horowitz, J. & Härdle, W.K., 1992. "Testing a Parametric Model Against a Semiparametric Alternative," Discussion Paper 1992-19, Tilburg University, Center for Economic Research.
  18. Bierens, H.J., 1989. "A consistent conditional moment test of functional form," Serie Research Memoranda 0064, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
  19. Bierens, Herman J., 1984. "Model specification testing of time series regressions," Journal of Econometrics, Elsevier, vol. 26(3), pages 323-353, December.
  20. repec:cup:etheor:v:8:y:1992:i:4:p:452-75 is not listed on IDEAS
  21. John Xu Zheng, 1996. "A consistent test of functional form via nonparametric estimation techniques," Journal of Econometrics, Elsevier, vol. 75(2), pages 263-289, December.
  22. Herman J. Bierens & Werner Ploberger, 1997. "Asymptotic Theory of Integrated Conditional Moment Tests," Econometrica, Econometric Society, vol. 65(5), pages 1129-1152, September.
  23. Mikosch, T., 1991. "Functional limit theorems for random quadratic forms," Stochastic Processes and their Applications, Elsevier, vol. 37(1), pages 81-98, February.
  24. Deaton,Angus & Muellbauer,John, 1980. "Economics and Consumer Behavior," Cambridge Books, Cambridge University Press, number 9780521296762, October.
  25. Tauchen, George, 1985. "Diagnostic testing and evaluation of maximum likelihood models," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 415-443.
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