Behaviormetrics: Quantitative Approaches to Human Behavior

Statistical Data Analysis and Entropy

Authors: Eshima, Nobuoki

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  • 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
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eBook 85,59 €
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  • ISBN 978-981-15-2552-0
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Hardcover 103,99 €
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  • ISBN 978-981-15-2551-3
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About this book

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.


About the authors

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).


Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook 85,59 €
price for Spain (gross)
  • ISBN 978-981-15-2552-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 103,99 €
price for Spain (gross)
  • ISBN 978-981-15-2551-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Statistical Data Analysis and Entropy
Authors
Series Title
Behaviormetrics: Quantitative Approaches to Human Behavior
Series Volume
3
Copyright
2020
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-15-2552-0
DOI
10.1007/978-981-15-2552-0
Hardcover ISBN
978-981-15-2551-3
Series ISSN
2524-4027
Edition Number
1
Number of Pages
XI, 257
Number of Illustrations
43 b/w illustrations
Topics