LEADER 04729nam 22006375 450 001 9910735395803321 005 20250504233217.0 010 $a981-16-2470-4 024 7 $a10.1007/978-981-16-2470-4 035 $a(CKB)4100000011984406 035 $a(MiAaPQ)EBC6682867 035 $a(Au-PeEL)EBL6682867 035 $a(PPN)269147012 035 $a(DE-He213)978-981-16-2470-4 035 $a(EXLCZ)994100000011984406 100 $a20210722d2021 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aModern Quantification Theory $eJoint Graphical Display, Biplots, and Alternatives /$fby Shizuhiko Nishisato, Eric J. Beh, Rosaria Lombardo, Jose G. Clavel 205 $a1st ed. 2021. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2021. 215 $a1 online resource (242 pages) 225 1 $aBehaviormetrics: Quantitative Approaches to Human Behavior,$x2524-4035 ;$v8 311 08$a981-16-2469-0 327 $aPersonal Reflections -- Mathematical Preliminaries -- Mathematical Preliminaries -- Data Formats and Geometry -- Coordinates for Joint Graphs -- Clustering as an Alternative -- Scoring and Profiles -- Some Generalizations of Reciprocal Averaging -- History of the Biplot -- Biplots for Variants of Correspondence Analysis. 330 $aThis book offers a new look at well-established quantification theory for categorical data, referred to by such names as correspondence analysis, dual scaling, optimal scaling, and homogeneity analysis. These multiple identities are a consequence of its large number of properties that allow one to analyze and visualize the strength of variable association in an optimal solution. The book contains modern quantification theory for analyzing the association between two and more categorical variables in a variety of applicative frameworks. Visualization has attracted much attention over the past decades and given rise to controversial opinions. One may consider variations of plotting systems used in the construction of the classic correspondence plot, the biplot, the Carroll-Green-Schaffer scaling, or a new approach in doubled multidimensional space as presented in the book. There are even arguments for no visualization at all. The purpose of this booktherefore is to shed new light on time-honored graphical procedures with critical reviews, new ideas, and future directions as alternatives. This stimulating volume is written with fresh new ideas from the traditional framework and the contemporary points of view. It thus offers readers a deep understanding of the ever-evolving nature of quantification theory and its practice. Part I starts with illustrating contingency table analysis with traditional joint graphical displays (symmetric, non-symmetric) and the CGS scaling and then explores logically correct graphs in doubled Euclidean space for both row and column variables. Part II covers a variety of mathematical approaches to the biplot strategy in graphing a data structure, providing a useful source for this modern approach to graphical display. Part II is also concerned with a number of alternative approaches to the joint graphical display such as bimodal cluster analysis and other statistical problems relevant to quantification theory. . 410 0$aBehaviormetrics: Quantitative Approaches to Human Behavior,$x2524-4035 ;$v8 606 $aSocial sciences$xStatistical methods 606 $aStatistics 606 $aStatistics 606 $aStatistics in Social Sciences, Humanities, Law, Education, Behavorial Sciences, Public Policy 606 $aStatistical Theory and Methods 606 $aStatistics in Business, Management, Economics, Finance, Insurance 606 $aStatistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences 615 0$aSocial sciences$xStatistical methods. 615 0$aStatistics. 615 0$aStatistics. 615 14$aStatistics in Social Sciences, Humanities, Law, Education, Behavorial Sciences, Public Policy. 615 24$aStatistical Theory and Methods. 615 24$aStatistics in Business, Management, Economics, Finance, Insurance. 615 24$aStatistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences. 676 $a300.727 700 $aNishisato$b Shizuhiko$0147700 701 $aBeh$b Eric J$0525012 701 $aLombardo$b Rosaria$0104923 701 $aClavel$b Jose G$0983368 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910735395803321 996 $aModern Quantification Theory$92244893 997 $aUNINA