Likelihood ratio tests for peakedness in multinomial populations
Hammou El Barmi, Javier Rojo · Journal of nonparametric statistics · 1997
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.