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Statistical data analysis and entropy

Eshima, Nobuoki.

Statistical data analysis and entropy

Record Type:	Electronic resources : Monograph/item
Title/Author:	Statistical data analysis and entropyby Nobuoki Eshima.
Author:	Eshima, Nobuoki.
Published:	Singapore :Springer Singapore :2020.
Description:	xi, 257 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Mathematical statistics.
Online resource:	https://doi.org/10.1007/978-981-15-2552-0
ISBN:	9789811525520$q(electronic bk.)

Statistical data analysis and entropy
Eshima, Nobuoki.

Statistical data analysis and entropy[electronic resource] /by Nobuoki Eshima. - Singapore :Springer Singapore :2020. - xi, 257 p. :ill., digital ;24 cm. - Behaviormetrics: quantitative approaches to human behavior,v.32524-4027 ;. - Behaviormetrics: quantitative approaches to human behavior ;v.5..

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.

ISBN: 9789811525520$q(electronic bk.)

Standard No.: 10.1007/978-981-15-2552-0doiSubjects--Topical Terms:

181877
Mathematical statistics.

LC Class. No.: QA276 / .E845 2020

Dewey Class. No.: 519.5

Statistical data analysis and entropy
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520 $a 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.
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