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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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by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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