Abstract
In this chapter, first, loglinear models are reviewed by using three-way contingency tables. Second, the entropy correlation coefficient (ECC) for summarizing the association between explanatory variables and response variables in generalized linear models is considered. An application of ECC to logit models with multinomial explanatory and response variables is also given. Third, the entropy coefficient of determination (ECD) for measuring the explanatory power of GLMs is discussed. Comparing ECD with several predictive power measures for GLMs, desirable properties of ECD are explained. The asymptotic distribution of the maximum likelihood estimator of ECD is also considered.
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Eshima, N. (2020). Analysis of the Association in Multiway Contingency Tables. In: Statistical Data Analysis and Entropy. Behaviormetrics: Quantitative Approaches to Human Behavior, vol 3. Springer, Singapore. https://doi.org/10.1007/978-981-15-2552-0_3
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DOI: https://doi.org/10.1007/978-981-15-2552-0_3
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