Titlebook: Statistical Data Analysis and Entropy; Nobuoki Eshima Book 2020 Springer Nature Singapore Pte Ltd. 2020 Entropy-based Approaches for Data

Cpap155

Latent Structure Analysis,riables are briefly reviewed. In order to assess test reliability, the entropy coefficient of determination is employed as the entropy coefficient of reliability (ECR) of the test. By using thee artificial examples with 9 manifest response items, the test batteries and the items are assessed with ECR.

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Entropy-Based Path Analysis,cts are summarized according to the entropy coefficient determination (ECD). The path analysis is demonstrated by using two numerical examples. Finally, a general method for calculating the summary total, direct, and indirect effects is given.

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Analysis of the Association in Two-Way Contingency Tables,g the independence between the binary variables is explained. Third, for analyzing the association in general two-way contingency tables, the RC (.) association model is considered. Properties of the model are discussed from a viewpoint of entropy, and ECC is extended for analyzing the association in the RC (.) association model.

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Analysis of the Association in Multiway Contingency Tables,xplanatory 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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Entropy and Basic Statistics, and/or random variables are introduced and the properties are discussed. To measure the differences between distributions, the Kullback–Leibler (KL) information is explained through a theoretical consideration. In order to treat the association between random variables, the joint entropy and the co

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exacerbate

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