LEADER 03849nam 22005895 450 001 9910483487703321 005 20250504232246.0 010 $a981-15-2552-8 024 7 $a10.1007/978-981-15-2552-0 035 $a(CKB)4100000010119139 035 $a(DE-He213)978-981-15-2552-0 035 $a(MiAaPQ)EBC6027540 035 $a(PPN)242843247 035 $a(EXLCZ)994100000010119139 100 $a20200121d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aStatistical Data Analysis and Entropy /$fby Nobuoki Eshima 205 $a1st ed. 2020. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2020. 215 $a1 online resource (XI, 257 p. 43 illus.) 225 1 $aBehaviormetrics: Quantitative Approaches to Human Behavior,$x2524-4035 ;$v3 311 08$a981-15-2551-X 327 $aEntropy and basic statistics -- Analysis of the association in two-way contingency tables -- Analysis of the association in multiway contingency tables -- Analysis of continuous variables. 330 $aThis book reconsiders statistical methods from the point of view of entropy, and introduces entropy-based approaches for data analysis. Further, it interprets basic statistical methods, such as the chi-square statistic, t-statistic, F-statistic and the maximum likelihood estimation in the context of entropy. In terms of categorical data analysis, the book discusses the entropy correlation coefficient (ECC) and the entropy coefficient of determination (ECD) for measuring association and/or predictive powers in association models, and generalized linear models (GLMs). Through association and GLM frameworks, it also describes ECC and ECD in correlation and regression analyses for continuous random variables. In multivariate statistical analysis, canonical correlation analysis, T2-statistic, and discriminant analysis are discussed in terms of entropy. Moreover, the book explores the efficiency of test procedures in statistical tests of hypotheses using entropy. Lastly, it presents an entropy-based path analysis for structural GLMs, which is applied in factor analysis and latent structure models. Entropy is an important concept for dealing with the uncertainty of systems of random variables and can be applied in statistical methodologies. This book motivates readers, especially young researchers, to address the challenge of new approaches to statistical data analysis and behavior-metric studies. 410 0$aBehaviormetrics: Quantitative Approaches to Human Behavior,$x2524-4035 ;$v3 606 $aStatistics 606 $aStatistics 606 $aSocial sciences$xStatistical methods 606 $aStatistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences 606 $aStatistical Theory and Methods 606 $aStatistics in Social Sciences, Humanities, Law, Education, Behavorial Sciences, Public Policy 606 $aStatistics in Business, Management, Economics, Finance, Insurance 615 0$aStatistics. 615 0$aStatistics. 615 0$aSocial sciences$xStatistical methods. 615 14$aStatistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences. 615 24$aStatistical Theory and Methods. 615 24$aStatistics in Social Sciences, Humanities, Law, Education, Behavorial Sciences, Public Policy. 615 24$aStatistics in Business, Management, Economics, Finance, Insurance. 676 $a519.5 700 $aEshima$b Nobuoki$4aut$4http://id.loc.gov/vocabulary/relators/aut$01017964 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483487703321 996 $aStatistical Data Analysis and Entropy$92391165 997 $aUNINA