TWO-WAY CHANGE-POINT MODEL AND ITS APPLICATION |
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Authors: | Chihiro Hirotsu |
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Institution: | Dept of Mathematical &Information Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113, Japan. |
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Abstract: | Exact null and alternative distributions of the two-way maximally selected x2 for interaction between the ordered rows and columns are derived for each of the normal and Poisson models, respectively. The method is one of the multiple comparison procedures for ordered parameters and is useful for defining a block interaction or a two-way change-point model as a simple alternative to the two-way additive model. The construction of a confidence region for the two-way change-point is then described. An important application is found in a dose-response clinical trial with ordered categorical responses, where detecting the dose level which gives significantly higher responses than the lower doses can be formulated as a problem of detecting a change in the interaction effects. |
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Keywords: | Cross-product ratio doubly accumulated statistic interaction contrast multiple comparisons for change-point parameters two-way ordered hypothesis |
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