國立虎尾科技大學 |

Modern Quantification Theory = Joint Graphical Display, Biplots, and Alternatives /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Modern Quantification Theory/ by Shizuhiko Nishisato, Eric J. Beh, Rosaria Lombardo, Jose G. Clavel.
Reminder of title:	Joint Graphical Display, Biplots, and Alternatives /
Author:	Nishisato, Shizuhiko.
other author:	Beh, Eric J.
Description:	XVII, 231 p. 27 illus., 9 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Statistics . -
Online resource:	https://doi.org/10.1007/978-981-16-2470-4
ISBN:	9789811624704

Modern Quantification Theory = Joint Graphical Display, Biplots, and Alternatives /
Nishisato, Shizuhiko.

Modern Quantification TheoryJoint Graphical Display, Biplots, and Alternatives /[electronic resource] :by Shizuhiko Nishisato, Eric J. Beh, Rosaria Lombardo, Jose G. Clavel. - 1st ed. 2021. - XVII, 231 p. 27 illus., 9 illus. in color.online resource. - Behaviormetrics: Quantitative Approaches to Human Behavior,82524-4027 ;. - Behaviormetrics: Quantitative Approaches to Human Behavior,3.

Personal 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.

This 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 book therefore 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. .

ISBN: 9789811624704

Standard No.: 10.1007/978-981-16-2470-4doiSubjects--Topical Terms:

1253516
Statistics .

LC Class. No.: QA276-280

Dewey Class. No.: 519.5

Modern Quantification Theory = Joint Graphical Display, Biplots, and Alternatives /
LDR:03819nam a22004095i 4500 001 1047740
003 DE-He213
005 20210722193249.0
007 cr nn 008mamaa
008 220103s2021 si | s |||| 0|eng d
020 $a 9789811624704 $9 978-981-16-2470-4
024 7 $a 10.1007/978-981-16-2470-4 $2 doi
035 $a 978-981-16-2470-4
050 4 $a QA276-280
072 7 $a JHBC $2 bicssc
072 7 $a SOC027000 $2 bisacsh
072 7 $a JHBC $2 thema
082 0 4 $a 519.5 $2 23
100 1 $a Nishisato, Shizuhiko. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1351484
245 1 0 $a Modern Quantification Theory $h [electronic resource] : $b Joint Graphical Display, Biplots, and Alternatives / $c by Shizuhiko Nishisato, Eric J. Beh, Rosaria Lombardo, Jose G. Clavel.
250 $a 1st ed. 2021.
264 1 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2021.
300 $a XVII, 231 p. 27 illus., 9 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Behaviormetrics: Quantitative Approaches to Human Behavior, $x 2524-4027 ; $v 8
505 0 $a Personal 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.
520 $a This 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 book therefore 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. .
650 0 $a Statistics . $3 1253516
650 1 4 $a Statistics for Social Sciences, Humanities, Law. $3 1211304
650 2 4 $a Statistical Theory and Methods. $3 671396
650 2 4 $a Statistics for Business, Management, Economics, Finance, Insurance. $3 1211158
650 2 4 $a Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. $3 782247
700 1 $a Beh, Eric J. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1059543
700 1 $a Lombardo, Rosaria. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1059544
700 1 $a Clavel, Jose G. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1351485
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9789811624698
776 0 8 $i Printed edition: $z 9789811624711
776 0 8 $i Printed edition: $z 9789811624728
830 0 $a Behaviormetrics: Quantitative Approaches to Human Behavior, $x 2524-4027 ; $v 3 $3 1313773
856 4 0 $u https://doi.org/10.1007/978-981-16-2470-4
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)