Showing papers by "Hammou El Barmi published in 1997"
TL;DR: In this article, a peakedness ordering restriction is considered as a one-sided alternative to equality, and the asymptotic distributions of the likelihood ratio test statistics are obtained and are shown to be of the chi-bar squared type.
Abstract: Likelihood ratio tests concerning the parameters of two multinomial populations are discussed. A peakedness ordering restriction is considered as a one sided alternative to equality. The asymptotic distributions of the likelihood ratio test statistics are obtained and are shown to be of the chi-bar squared type. Exact expressions for the weights in the mixture of chi-squared distributions are also provided. The procedures are illustrated by applying them to a data set on lung cancer mortality in South Australia.
7 citations
TL;DR: In this article, the authors derived the likelihood ratio test and its asymptotic distribution for testing for or against an order restriction placed upon the odds ratios, and showed that the limiting distributions are of chi-bar square type and gave the expression of the weighting values.
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.
6 citations