A nonparametric test against an umbrella alternative for stratified data |
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Authors: | Yanqin?Feng Jinde?Wang Email author" target="_blank">Guoxin?ZuoEmail author |
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Institution: | 1.School of Mathematics and Statistics,Wuhan University,Wuhan,China |
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Abstract: | Trend test in dose-response has been a central problem in medicine. This paper treats the problem of comparing umbrella pattern
treatment effects. Under an ordered m × r × k table, this article considers testing the hypothesis that all multinomial populations are conditional independence against
the alternative that they are in an umbrella trend. For this hypothesis test problem, this article introduces a model-free
test method by using likelihood ratio test statistic and gives the asymptotic distribution of the test statistic. Simulation
study is conducted to compare the empirical power performed via the proposed method and others. Finally, two real data are
studied to illustrate the validity of the proposed method. |
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Keywords: | |
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