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＜電子ブック＞
Statistical Data Analysis and Entropy / by Nobuoki Eshima
(Behaviormetrics: Quantitative Approaches to Human Behavior. ISSN:25244035 ; 3)

版	1st ed. 2020.
出版者	(Singapore : Springer Nature Singapore : Imprint: Springer)
出版年	2020
大きさ	XI, 257 p. 43 illus : online resource
著者標目	*Eshima, Nobuoki author SpringerLink (Online service)
件　名	LCSH:Statistics  LCSH:Social sciences—Statistical methods FREE:Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences FREE:Statistical Theory and Methods FREE:Statistics in Social Sciences, Humanities, Law, Education, Behavorial Sciences, Public Policy FREE:Statistics in Business, Management, Economics, Finance, Insurance
一般注記	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 for structural GLMs, which is applied in factor analysis and latent structure models. Entropy is an important concept for dealing with the uncertainty of systems of random variables and can be applied in statistical methodologies. This book motivates readers, especially young researchers, to address the challenge of new approaches to statistical data analysis and behavior-metric studies HTTP:URL=https://doi.org/10.1007/978-981-15-2552-0

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