Statistical Data Analysis and Entropy. 1st ed. 2020

種類:

電子ブック

責任表示:

by Nobuoki Eshima

出版情報:

Singapore : Springer Nature Singapore : Imprint: Springer, 2020

著者名:

• Eshima, Nobuoki.
• SpringerLink (Online service)

シリーズ名:

Behaviormetrics: Quantitative Approaches to Human Behavior ; 3

ISBN:

9789811525520 [9811525528]    

注記:

Entropy and basic statistics -- Analysis of the association in two-way contingency tables -- Analysis of the association in multiway contingency tables -- Analysis of continuous variables.
This book reconsiders statistical methods from the point of view of entropy, and introduces entropy-based approaches for data analysis. Further, it interprets basic statistical methods, such as the chi-square statistic, t-statistic, F-statistic and the maximum likelihood estimation in the context of entropy. In terms of categorical data analysis, the book discusses the entropy correlation coefficient (ECC) and the entropy coefficient of determination (ECD) for measuring association and/or predictive powers in association models, and generalized linear models (GLMs). Through association and GLM frameworks, it also describes ECC and ECD in correlation and regression analyses for continuous random variables. In multivariate statistical analysis, canonical correlation analysis, T2-statistic, and discriminant analysis are discussed in terms of entropy. Moreover, the book explores the efficiency of test procedures in statistical tests of hypotheses using entropy. Lastly, it presents an entropy-based path analysis f

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