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On approximation of the level probabilities for testing ordered parallel regression lines

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  • Paula, Gilberto A.

Abstract

Approximations for the level probabilities in testing order-restricted hypotheses are examined in this paper for generalized linear models with common slope. It is showed, in particular, that the asymptotic null distribution of the likelihood ratio statistic is a mixture of chi-squared distributions for the cases of simple order and simple tree order. Under a balanced structure, the asymptotic null distribution reduces to the well-known chi-bar-squared distribution. The use of the equal-weights level probabilities is also investigated. This approximation seems to be satisfactory when the sample sizes and the levels of the covariate are not too different among the strata.

Suggested Citation

  • Paula, Gilberto A., 1996. "On approximation of the level probabilities for testing ordered parallel regression lines," Statistics & Probability Letters, Elsevier, vol. 30(4), pages 333-338, November.
    • Handle: RePEc:eee:stapro:v:30:y:1996:i:4:p:333-338
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    References listed on IDEAS

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    1. Wolak, Frank A., 1989. "Local and Global Testing of Linear and Nonlinear Inequality Constraints in Nonlinear Econometric Models," Econometric Theory, Cambridge University Press, vol. 5(1), pages 1-35, April.
    2. Wolak, Frank A., 1989. "Testing inequality constraints in linear econometric models," Journal of Econometrics, Elsevier, vol. 41(2), pages 205-235, June.
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