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.
Citation
Satoru Shinoda. Kouji Tahata. Kiyotaka Iki. Sadao Tomizawa. "Extended marginal homogeneity models based on complementary log-log transform for multi-way contingency tables." SUT J. Math. 55 (1) 25 - 37, June 2019. https://doi.org/10.55937/sut/1570041313
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