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Testing for or against a trend in odds ratios
Authors:Hammou El Barmi
Institution:Department of Statistics , Kansas State University , Manhattan, KS, 66506
Abstract:Consider data arranged into k × 2 × 2 contingency tables. The principal result of this paper is the derivation of the likelihood ratio test and its asymptotic distribution for testing for or against an order restriction placed upon the odds ratios. We will show that the limiting distributions are of chi-bar square type and give the expression of the weighting values.
Keywords:algorithm  chi-bar square distribution  least favorable distribution  level probabilities  orthant probabilities
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