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Statistical Data Analysis and Entropy
Taschenbuch von Nobuoki Eshima
Sprache: Englisch

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Beschreibung
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 hypothesesusing 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.
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 hypothesesusing 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.
Über den Autor

Nobuoki Eshima was born in Fukuoka, Japan in 1957. He was received B. Sc. and D. Sc. degrees in Mathematics from Kyushu University, Fukuoka, Japan in 1980 and 1993, respectively. In 1993, he joined Department of Statistics, Faculty of General Education, Nagasaki University as Associate Professor. In 1996, he joined Department of Medical Information Analysis, Faculty of Medicine, Oita Medical University as Professor. Since 2003 he is working as a Professor in Faculty of Medicine, Oita University, where the name of affiliation has changed because of combining with another university. From 2016, he is a professor of Center for Educational Outreach and Admissions, Kyoto University. He is an elected member of International Statistical Institute (ISI) and a reviewer for Mathematical Reviews of the American Mathematical Society (AMS).

Zusammenfassung

Helps readers understand entropy and its properties for data analysis

Reconsiders statistical methods from the point of view of entropy and provides new insights for data analysis

Explains the applicability of entropy for creating new statistical methods

Inhaltsverzeichnis

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

Details
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Medium: Taschenbuch
Seiten: 272
Reihe: Behaviormetrics: Quantitative Approaches to Human Behavior
Inhalt: xi
257 S.
43 s/w Illustr.
257 p. 43 illus.
ISBN-13: 9789811525544
ISBN-10: 9811525544
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Eshima, Nobuoki
Auflage: 1st ed. 2020
Hersteller: Springer Singapore
Springer Nature Singapore
Behaviormetrics: Quantitative Approaches to Human Behavior
Maße: 235 x 155 x 15 mm
Von/Mit: Nobuoki Eshima
Erscheinungsdatum: 22.01.2021
Gewicht: 0,417 kg
preigu-id: 119510554
Über den Autor

Nobuoki Eshima was born in Fukuoka, Japan in 1957. He was received B. Sc. and D. Sc. degrees in Mathematics from Kyushu University, Fukuoka, Japan in 1980 and 1993, respectively. In 1993, he joined Department of Statistics, Faculty of General Education, Nagasaki University as Associate Professor. In 1996, he joined Department of Medical Information Analysis, Faculty of Medicine, Oita Medical University as Professor. Since 2003 he is working as a Professor in Faculty of Medicine, Oita University, where the name of affiliation has changed because of combining with another university. From 2016, he is a professor of Center for Educational Outreach and Admissions, Kyoto University. He is an elected member of International Statistical Institute (ISI) and a reviewer for Mathematical Reviews of the American Mathematical Society (AMS).

Zusammenfassung

Helps readers understand entropy and its properties for data analysis

Reconsiders statistical methods from the point of view of entropy and provides new insights for data analysis

Explains the applicability of entropy for creating new statistical methods

Inhaltsverzeichnis

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

Details
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Medium: Taschenbuch
Seiten: 272
Reihe: Behaviormetrics: Quantitative Approaches to Human Behavior
Inhalt: xi
257 S.
43 s/w Illustr.
257 p. 43 illus.
ISBN-13: 9789811525544
ISBN-10: 9811525544
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Eshima, Nobuoki
Auflage: 1st ed. 2020
Hersteller: Springer Singapore
Springer Nature Singapore
Behaviormetrics: Quantitative Approaches to Human Behavior
Maße: 235 x 155 x 15 mm
Von/Mit: Nobuoki Eshima
Erscheinungsdatum: 22.01.2021
Gewicht: 0,417 kg
preigu-id: 119510554
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