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Extended marginal homogeneity models based on complementary log-log transform for multi-way contingency tables

Satoru Shinoda, Kouji Tahata, Kiyotaka Iki, Sadao Tomizawa

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Source: Crossref

Published: Jun 1, 2019

DOI: 10.55937/sut/1570041313

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Source abstract

For square contingency tables with ordered categories, Saigusa et al. (2018) proposed the marginal cumulative complementary log-log model being an extension of the marginal homogeneity model. The present paper considers the marginal cumulative complementary log-log and conditional marginal cumulative complementary log-log models for multi-way tables. It also gives the decompositions of the marginal homogeneity model into the proposed model and a model of the equality of marginal means for multi-way tables. An example is given.

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Extended marginal homogeneity models based on complementary log-log transform for multi-way contingency tables — Mathematical Frontier Network