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Field name	Details
Dewey Class	519
Title	Optimal Quantification and Symmetry ( EBook/) / by Shizuhiko Nishisato.
Author	Nishisato, Shizuhiko
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2022.
Publication	Singapore : : Springer Nature Singapore : : Imprint: Springer, , 2022.
Physical Details	XVI, 195 p. 23 illus., 20 illus. in color. : online resource.
Series	Behaviormetrics: Quantitative Approaches to Human Behavior 2524-4035 ; ; 12
ISBN	9789811691706
Summary Note	This book offers a unique new look at the familiar quantification theory from the point of view of mathematical symmetry and spatial symmetry. Symmetry exists in many aspects of our life—for instance, in the arts and biology as an ingredient of beauty and equilibrium, and more importantly, for data analysis as an indispensable representation of functional optimality. This unique focus on symmetry clarifies the objectives of quantification theory and the demarcation of quantification space, something that has never caught the attention of researchers. Mathematical symmetry is well known, as can be inferred from Hirschfeld’s simultaneous linear regressions, but spatial symmetry has not been discussed before, except for what one may infer from Nishisato’s dual scaling. The focus on symmetry here clarifies the demarcation of quantification analysis and makes it easier to understand such a perennial problem as that of joint graphical display in quantification theory. The new framework will help advance the frontier of further developments of quantification theory. Many numerical examples are included to clarify the details of quantification theory, with a focus on symmetry as its operational principle. In this way, the book is useful not only for graduate students but also for researchers in diverse areas of data analysis.:
Contents note	Optimality and Symmetry -- Examples of Quantification -- Constraints on Quantification -- Quantification Procedures -- Mathematical Symmetry -- Data Format and Information -- Space Theory and Symmetry.
Mode of acces to digital resource	Digital reproduction.-
	Cham :
	Springer International Publishing,
	2022. -
	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-981-16-9170-6
Links to Related Works	Subject References: Applied Statistics . Data Analysis and Big Data . Quantitative research . Statistical Theory and Methods . Statistics . Authors: author . Nishisato, Shizuhiko . Corporate Authors: SpringerLink (Online service) . Series: Behaviormetrics: Quantitative Approaches to Human Behavior . Classification: 519 .

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Optimal Quantification and Symmetry

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