Order-restricted tests for stratified comparisons of binomial proportions

被引:51
作者
Agresti, A
Coull, BA
机构
[1] Department of Statistics, University of Florida, Gainesville
关键词
conditional independence; dose-response curve; isotonic regression; logistic regression; loglinear models; stochastic ordering;
D O I
10.2307/2533072
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
The data set presented relates a binomial response to ordered levels of an explanatory variable, representing doses of a drug, with data collected at several centers. A study goal is to test independence of the response and the ordinal factor, assuming under the alternative only that the binomial parameter is a monotonically increasing function of the ordinal predictor. We present two likelihood-ratio tests that are sensitive to order-restricted alternatives. Simulating the exact distributions of the test statistics yields nearly exact P-values. We also discuss related analyses for comparing two groups on an ordinal response, and we propose a test that is sensitive to a stochastic ordering alternative.
引用
收藏
页码:1103 / 1111
页数:9
相关论文
共 31 条