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Vietnam Journal of Mathematics 36:3(2008)
291-304
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Nonparametric Statistical Inference for Umbrella
Trend Alternative among Multinomial Populations
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Yanqin Feng
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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.
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2000 Mathematics Subject Classification: 62J10.
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Keywords: Stochastic ordering, chi-bar-squared distribution,
likelihood ratio test, umbrella ordering, asymptotic distribution.
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Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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