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Some Power Comparisons of Joint and Paired Tests for Nonnested Models under Local Hypotheses

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  • Dastoor, Naorayex K.
  • McAleer, Michael

Abstract

This paper compares the asymptotic local power properties of some tests of a null model against a single nonnested alternative and against multiple nonnested alternatives, denoted hereafter as paired and joint tests, respectively. It is demonstrated that the ranking of tests on the basis of asymptotic local powers depends on the choice of local hypothesis. When a local null hypothesis is employed, it is not possible to rank the Wald and Cox-type paired or joint tests. However, when the local hypothesis is specified with reference to one of the alternative models under consideration, a ranking of different test procedures becomes possible. Under a local alternative hypothesis, it is shown that the paired Wald test will never have greater asymptotic local power than a paired Cox-type test.

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  • Dastoor, Naorayex K. & McAleer, Michael, 1989. "Some Power Comparisons of Joint and Paired Tests for Nonnested Models under Local Hypotheses," Econometric Theory, Cambridge University Press, vol. 5(01), pages 83-94, April.
  • Handle: RePEc:cup:etheor:v:5:y:1989:i:01:p:83-94_01
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    Cited by:

    1. Smith, Marlene A & Smyth, David J, 1991. "Multiple and Pairwise Non-nested Tests of the Influence of Taxes on Money Demand," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 6(1), pages 17-30, Jan.-Marc.
    2. Mur, Jesús & Angulo, Ana, 2009. "Model selection strategies in a spatial setting: Some additional results," Regional Science and Urban Economics, Elsevier, vol. 39(2), pages 200-213, March.
    3. McAleer, Michael, 1994. " Sherlock Holmes and the Search for Truth: A Diagnostic Tale," Journal of Economic Surveys, Wiley Blackwell, vol. 8(4), pages 317-370, December.
    4. Barten, Anton P. & McAleer, Michael, 1997. "Comparaison de la performance du point de vue empirique de systèmes de demandes alternatifs," L'Actualité Economique, Société Canadienne de Science Economique, vol. 73(1), pages 27-45, mars-juin.
    5. Hidetoshi Shimodaira, 1998. "An Application of Multiple Comparison Techniques to Model Selection," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 50(1), pages 1-13, March.
    6. Barten, A.P. & Mcaleer, M., 1991. "Comparing The Empirical Perfomance Of Alternative Demand Systems," Papers 9002a, Tilburg - Center for Economic Research.
    7. Godfrey, L. G., 1998. "Tests of non-nested regression models some results on small sample behaviour and the bootstrap," Journal of Econometrics, Elsevier, vol. 84(1), pages 59-74, May.
    8. McAleer, Michael, 1995. "The significance of testing empirical non-nested models," Journal of Econometrics, Elsevier, vol. 67(1), pages 149-171, May.
    9. Dahalan, Jauhari & Sharma, Subhash C. & Sylwester, Kevin, 2007. "Scale variable specification in a money demand function for Malaysia," Journal of Asian Economics, Elsevier, vol. 18(6), pages 867-882, December.

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