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Two Papers on Model Testing and Discrimination

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  • Fisher, Gordon
  • McAleer, Michael

Abstract

In this note it is demonstrated that Theil's (1961) minimum error variance criterion is asymptotically valid for choosing between non-nested nonlinear regression models, as long as one of the models being considered is 'true'. -- Pereira (1977) raised the issue of consistency of the tests , developed by Cox (1961, 1962) and Atkinson (1970) for separate families of hypotheses and showed that the Cox-test is always consistent whereas Atkinson's procedure is not always consistent. In this paper it is shown that when the null and alternative hypotheses are separate regression models, Atkinson's procedure will always provide a consistent test. It is also shown that, in addition to comparing the actual and expected performances of the alternative when the Coxtest is used, the actual performance of the null becomes relevant for interpreting the outcome of the test based on Atkinson's modification.

Suggested Citation

  • Fisher, Gordon & McAleer, Michael, 1980. "Two Papers on Model Testing and Discrimination," Queen's Institute for Economic Research Discussion Papers 275191, Queen's University - Department of Economics.
  • Handle: RePEc:ags:queddp:275191
    DOI: 10.22004/ag.econ.275191
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    References listed on IDEAS

    as
    1. Pesaran, M H & Deaton, Angus S, 1978. "Testing Non-Nested Nonlinear Regression Models," Econometrica, Econometric Society, vol. 46(3), pages 677-694, May.
    2. M. H. Pesaran, 1974. "On the General Problem of Model Selection," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(2), pages 153-171.
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