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Joint Tests for Zero Restrictions on Non-negative Regression Coefficients

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  • Hillier, Grant

Abstract

Three tests for zero restrictions on regression coefficients that are known to be nonnegative are considered: the classical F test, the likelihood ratio test, and a one-sided t test in a particular direction. Critical values for the likelihood ratio test are given for the cases of two and three restrictions, and the power function is calculated for the case of two restrictions. The analysis is conducted in terms of a characterization of the clas all similar tests for the problem, of which each of the above tests is a member. The likelihood ratio test emerges as the preferred test.

Suggested Citation

  • Hillier, Grant, 1986. "Joint Tests for Zero Restrictions on Non-negative Regression Coefficients," MPRA Paper 15804, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:15804
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    File URL: https://mpra.ub.uni-muenchen.de/15804/1/MPRA_paper_15804.pdf
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    References listed on IDEAS

    as
    1. Yancey, T. A. & Judge, G. G. & Bock, M. E., 1981. "Testing multiple equality and inequality hypothesis in economics," Economics Letters, Elsevier, vol. 7(3), pages 249-255.
    2. Gourieroux, Christian & Holly, Alberto & Monfort, Alain, 1982. "Likelihood Ratio Test, Wald Test, and Kuhn-Tucker Test in Linear Models with Inequality Constraints on the Regression Parameters," Econometrica, Econometric Society, vol. 50(1), pages 63-80, January.
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    Cited by:

    1. Andrews, Donald W. K., 1998. "Hypothesis testing with a restricted parameter space," Journal of Econometrics, Elsevier, vol. 84(1), pages 155-199, May.
    2. Lu, Zeng-Hua, 2013. "Halfline tests for multivariate one-sided alternatives," Computational Statistics & Data Analysis, Elsevier, vol. 57(1), pages 479-490.
    3. Yancey, T A & Judge, G G & Bohrer, Robert, 1989. "Sampling Performance of Some Joint One-Sided Preliminary Test Estimators under Squared Error Loss," Econometrica, Econometric Society, vol. 57(5), pages 1221-1228, September.

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    More about this item

    Keywords

    Likelihood ratio test; One-sided alternative; Regression; Similar regions.;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics

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