论文信息 - Alternative Procedures and Associated Tests of Significance for Non-Nested Hypotheses

Alternative Procedures and Associated Tests of Significance for Non-Nested Hypotheses

This paper attempts to synthesize various procedures for testing non-nested hypotheses within the framework of artificial nesting, and establishes the result that different tests correspond to different treatments of its identification problem. Numerical and a priori identification methods are distinguished. We derive two modified likelihood ratio tests that are asymptotically equivalent to the Cox-test and explain the relationship between them. The tests are consistent.

Michael McAleer | M. McAleer | G. Fisher | Gordon Fisher

[1] David R. Cox,et al. Further Results on Tests of Separate Families of Hypotheses , 1962 .

[2] Paul G. Hoel,et al. On the Choice of Forecasting Formulas , 1947 .

[3] Adrian Pagan,et al. The Lagrange Multiplier Test and its Applications to Model Specification in Econometrics , 1980 .

[4] M. H. Pesaran,et al. On the general problem of model selection , 1974 .

[5] B. Pereira,et al. A note on the consistency and on the finite sample comparisons of some tests of separate families of hypotheses , 1977 .

[6] Michael McAleer,et al. On the interpretation of the cox test in econometrics , 1979 .

[7] J. Durbin,et al. Techniques for Testing the Constancy of Regression Relationships Over Time , 1975 .

[8] G. Chow. Tests of equality between sets of coefficients in two linear regressions (econometrics voi 28 , 1960 .

[9] M. Pesaran,et al. TESTING NON-NESTED NONLINEAR REGRESSION MODELS , 1978 .

[10] H. White. Maximum Likelihood Estimation of Misspecified Models , 1982 .

[11] J. MacKinnon,et al. Several Tests for Model Specication in the Pres-ence of Alternative Hypotheses , 1981 .

[12] D. Cox. Tests of Separate Families of Hypotheses , 1961 .

[13] Richard E. Quandt,et al. A Comparison of Methods for Testing Nonnested Hypotheses , 1974 .

[14] R. Davies. Hypothesis testing when a nuisance parameter is present only under the alternative , 1977 .