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Vietnam Journal of Mathematics 36:3(2008) 291-304

 Nonparametric Statistical Inference for Umbrella Trend Alternative among Multinomial Populations

Yanqin Feng

Abstract.  Umbrella ordering is important in dose-response experiment. This paper treats the problem of comparing umbrella pattern treatment effects. Under an m x r table, for testing the equality against the umbrella ordering alternative, this article introduces a model-free test method by using likelihood ratio test statistic and gives the asymptotic distribution of this statistic, which is a chi-bar-squared distribution. A real example will be used to illustrate our theoretical result.

 

2000 Mathematics Subject Classification: 62J10.

Keywords: Stochastic ordering, chi-bar-squared distribution, likelihood ratio test, umbrella ordering, asymptotic distribution.

 

 

 

 

 

 

 

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