A score test for non-nested hypotheses with applications to discrete data models

Journal of Applied Econometrics

Volumn 16, Issue 5, 2001, Pages 577-597

  Santos Silva, J M C ^a  

^a UNIVERSITY OF LISBON   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039894166     PISSN: 08837252     EISSN: None     Source Type: Journal    
DOI: 10.1002/jae.601     Document Type: Article

References (48)

1. Atkinson AC. 1970. A method for discriminating between models. Journal of the Royal Statistical Society Series B 32: 323-35.
2. Cameron AC, Trivedi PK. 1986. Econometric models based on count data: comparisons and applications of some estimators and tests. Journal of Applied Econometrics 1: 29-53.
3. Consul PC, Famoye F. 1992. Generalized Poisson regression model. Communications in Statistics - Theory and Methods 21: 89-109.
4. Cox DR. 1961. Tests of separate families of hypotheses. In Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability (Vol I). University of California Press: Berkeley, CA; 105-123.
5. Cox DR. 1962. Further results on tests of separate families of hypotheses. Journal of the Royal Statistical Society Series B 24: 406-424.
6. Davidson R, MacKinnon JG. 1981. Several tests of model specification in the presence of alternative hypotheses. Econometrica 49: 781-793.
7. Davidson R, MacKinnon JG. 1982. Some non-nested hypotheses tests and the relations among them. Review of Economics Studies 49: 551-565.
8. Davidson R, MacKinnon JG. 1984. Convenient specification tests for logit and probit models. Journal of Econometrics 25: 241-262.
9. Davidson R, MacKinnon JG. 1993. Estimation and Inference in Econometrics. Oxford University Press: Oxford.
10. Davies RB. 1977. Hypothesis testing when a nuisance parameter is present only under the alternative. Biometrika 64: 247-254.
11. Everit BS, Hand DJ. 1981. Finite Mixture Distributions. Chapman and Hall: London.
12. Famoye F. 1993. Restricted generalized Poisson regression model. Communications in Statistics - Theory and Methods 22: 1335-1354.
13. Fan Y, Li Q. 1995. Bootstrapping J-type tests for non-nested regression models. Economics Letters 48: 107-112.
14. Fisher GR, McAleer M. 1979. On the Interpretation of the Cox Test in Econometrics. Economics Letters 4: 145-150.
15. Fisher GR, McAleer M. 1981. Alternative procedures and associated tests of significance for non-nested hypotheses. Journal of Econometrics 16: 103-119.
16. Fry TRL, Harris MN. 1996. A Monte Carlo study of tests for the independence of irrelevant alternatives property. Transportation Research, Series B 30: 19-30.
17. Gaudry MJI, Dagenais MG. 1979. The Dogit model. Transportation Research Series 13B 13: 105-112.
18. Godfrey LG. 1998. Tests of non-nested regression models: some results on small sample behaviour and the bootstrap. Journal of Econometrics 841: 59-74.
19. Godfrey L, Pesaran MH. 1983. Tests of non-nested regression models: small sample adjustments and Monte Carlo evidence. Journal of Econometrics 21: 133-154.
20. Gourieroux C, Monfort A. 1994. Testing non-nested hypotheses. In Handbook of Econometrics (Vol. IV), Engle RF, McFadden D (eds). North-Holland: Amsterdam.
21. Gurmu S, Trivedi PK. 1996. Excess zeros in count models for recreational trips. Journal of Business & Economics Statistics 14: 469-477.
22. Heckman J, Singer B. 1984. A method for minimising the impact of distributional assumptions in econometric models for duration data. Econometrica 52: 271-320.
23. Horowitz JL, Härdle W. 1994. Testing a parametric model against a semiparametric alternative. Econometric Theory 10: 821-848.
24. Kent JT. 1986. The underlying structure of nonnested hypothesis tests. Biometrika 73: 333-343.
25. Klein RW. 1993. Specification tests for binary choice models based on index quantiles. Journal of Econometrics 59: 343-375.
26. Lambert D. 1992. Zero-inflated Poisson regression, with an application to defects in manufacturing. Technometrics 34: 1-14.
27. Lechner M. 1991. Testing logit models in practice. Empirical Economics 16: 171-182.
28. MacKinnon JG. 1983. Model specification tests against non-nested alternatives. Econometric Reviews 2: 85-110.
29. McCullagh P, Nelder JA. 1989. Generalized Linear Models, (2nd edn). Chapman and Hall: London.
30. Mullahy J. 1986. Specification and testing in some modified count data models. Journal of Econometrics 33: 341-365.
31. Mullahy J. 1997. Heterogeneity, excess zeros, and the structure of count data models. Journal of Applied Econometrics 12: 337-350.
32. Orme C. 1995. Non-nested tests for discrete choice models. University of Manchester, mimeo.
33. Pesaran MH. 1981. Pitfalls of testing non-nested hypotheses by the Lagrange multiplier method. Journal of Econometrics 17: 323-331.
34. Pesaran MH. 1982. On the comprehensive method of testing non-nested regression models. Journal of Econometrics 18: 263-274.
35. Pesaran MH, Pesaran B. 1993. A simulation approach to the problem of computing Cox's statistic for testing non-nested models. Journal of Econometrics 57: 377-392.
36. Pesaran MH, Pesaran B. 1995. A non-nested test of level-differenced versus log-differenced stationary models. Econometric Reviews 14: 213-227.
37. Pohlmeier W, Ulrich V. 1995. An econometric model of the two-part decision process in the demand for health. The Journal of Human Resources 30: 339-361.
38. Proença I, Ritter C. 1993. Negative bias in the H-H statistic. Discussion paper 9421, Institut für Statistik und Ökonometrie, Humboldt Universität zu Berlin.
39. Quandt RE. 1974. A comparison of methods for testing non-nested hypotheses. Review of Economics and Statistics 56: 251-255.
40. Quandt RE, Ramsey JB. 1978. Estimating mixtures of normal distributions and switching regressions. Journal of the American Statistical Association 73: 730-738.
41. Sellar C, Stoll JR, Chavas J-P. 1985. Validation of empirical measures of welfare change: a comparison of nonmarket techniques. Land Economics 61: 156-175.
42. Schwarz G. 1978 Estimating the dimension of a model. Annals of Statistics 6: 461-464.
43. Titterington DM, Smith AFM, Makov UE. 1985. Statistical Analysis of Finite Mixture Distributions. John Wiley: Chichester.
44. Tse YK. 1987. A diagnostic test for the multinomial logit model. Journal of Business & Economics Statistics 16: 283-286.
45. Vuong QH. 1989. Likelihood ratio tests for model selection and non-nested hypotheses. Econometrica 57: 307-333.
46. Weeks M. 1996. Testing the Binomial and Multinomial Choice Models Using Cox's Non-Nested Test. Journal of the American Statistical Association (Papers and Proceedings), 105: 519-530.
47. White H. 1982. Regularity conditions for Cox's test of non-nested hypothesis. Journal of Econometrics 19: 301-318.
48. Winkelmann R, Zimmermann KF. 1991. A new approach for modelling economic count data. Economics Letters 37: 139-143.