The theory of statistical implicative analysis : or the implausibility of falsehood...when the exception confirms the rule / Régis Gras, Antoine Bodin, Raphaël Couturier, and Pablo Gregori

Material type: Text

TextPublisher: Boca Raton : CRC Press ; Taylor & Francis Group, 2024Edition: Fist editionDescription: xxi, 236 páginas : tablas, diagramas, gráficosContent type:

texto

Media type:

No mediado

Carrier type:

Volumen

ISBN:

978-1-032-51542-7

Subject(s):

DDC classification:

519.535 T396s 21

Contents:

I. Foundation and representation os statistical implicative analysis - II. Extension of sets of variables and subjects - III. The statistical implicative analysis and the cognitive development - IV. D-Slanted views: fractal geometry , formal logic, rational mechanics

Summary: "This book summarizes the methods and concepts of Statistical Implicative Analysis (SIA), created by Régis Gras in the 1980s to study, in a new way, the behavioural responses of French pupils to mathematics tests. Using a multidimensional, non-symmetrical data analysis method, SIA crosses a set of subjects or objects with a set of variables. It effectively complements traditional correlational and psychometric methods. SIA, through its various extensions, is today presented as a broad Artificial Intelligence method aimed at extracting trends and possible causalities in the form of rules, from a set of variables. It is based on the unlikeliness of the existence of these relationships, i.e. on the relative weakness of their counter-examples compared to what chance alone would produce. It establishes a dual topological relationship between the set of subjects and the set of variables. Many applications of this approach, driving forces or crucibles for the development of SIA, have concerned and still concern various fields such as didactics, evaluation and assessment, psychology, sociology, medicine, biology, economics, art history, and others"

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Holdings ( 1 )
Title notes ( 4 )

Holdings
Item type	Current library	Collection	Call number	Status	Notes	Date due	Barcode
Libros Impresos	Central Circulación	Colección General	519.535 T396s (Browse shelf(Opens below))	Checked out	Proyecto UPA 22991 LAETEC	28/12/2026	2025-0272

Incluye bibliografía

"This book summarizes the methods and concepts of Statistical Implicative Analysis (SIA), created by Régis Gras in the 1980s to study, in a new way, the behavioural responses of French pupils to mathematics tests. Using a multidimensional, non-symmetrical data analysis method, SIA crosses a set of subjects or objects with a set of variables. It effectively complements traditional correlational and psychometric methods. SIA, through its various extensions, is today presented as a broad Artificial Intelligence method aimed at extracting trends and possible causalities in the form of rules, from a set of variables. It is based on the unlikeliness of the existence of these relationships, i.e. on the relative weakness of their counter-examples compared to what chance alone would produce. It establishes a dual topological relationship between the set of subjects and the set of variables. Many applications of this approach, driving forces or crucibles for the development of SIA, have concerned and still concern various fields such as didactics, evaluation and assessment, psychology, sociology, medicine, biology, economics, art history, and others"

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