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Combinatorial Inference in Geometric Data Analysis

Author: Brigitte Le Roux; Solène Bienaise; Jean-Luc Durand
Publisher: Milton : Chapman and Hall/CRC, 2020.
Series: Chapman and Hall/CRC Computer Science and Data Analysis Ser.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Le Roux, Brigitte.
Combinatorial Inference in Geometric Data Analysis.
Milton : Chapman and Hall/CRC, ©2020
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Brigitte Le Roux; Solène Bienaise; Jean-Luc Durand
ISBN: 9781351651332 1351651331
OCLC Number: 1090025607
Description: 1 online resource (269 pages)
Contents: Cover; Half Title; Title Page; Copyright Page; Table of Contents; Preface; Symbols; 1: Introduction; 1.1 On Combinatorial Inference; 1.2 On Geometric Data Analysis; 1.3 On Inductive Data Analysis; 1.4 Computational Aspects; 2: Cloud of Points in a Geometric Space; 2.1 Basic Statistics; 2.2 Covariance Structure of a Cloud; 2.3 Mahalanobis Distance and Principal Ellipsoids; 2.4 Partition of a Cloud; 3: Combinatorial Typicality Tests; 3.1 The Typicality Problem; 3.2 Combinatorial Typicality Test for Mean Point; 3.3 One-dimensional Case: Typicality Test for Mean 3.4 Combinatorial Typicality Test for Variance3.5 Combinatorial Inference in GDA; 3.6 Computations with R and Coheris SPAD Software; 4: Geometric Typicality Test; 4.1 Principle of the Test; 4.2 Geometric Typicality Test for Mean Point; 4.3 One-dimensional Case: Typicality for Mean; 4.4 The Case of a Design with Two Repeated Measures; 4.5 Other Methods; 4.6 Computations with R and Coheris SPAD Software; 5: Homogeneity Permutation Tests; 5.1 The Homogeneity Problem; 5.2 Principle of Combinatorial Homogeneity Tests; 5.3 Homogeneity of Independent Groups: General Case 5.4 Homogeneity of Two Independent Groups5.5 The Case of a Repeated Measures Design; 5.6 Other Methods; 5.7 Computations with R and Coheris SPAD Software; 6: Research Case Studies; 6.1 The Parkinson Study; 6.2 The Members of French Parliament and Globalisation in 2006; 6.3 The European Central Bankers Study; 6.4 Cognitive Tests and Education; 7: Mathematical Bases; 7.1 Matrix Calculus; 7.2 Finite-Dimensional Vector Space; 7.3 Euclidean Vector Space; 7.4 Multidimensional Geometry; 7.5 Orthogonal Projection; Bibliography; Author Index; Subject Index
Series Title: Chapman and Hall/CRC Computer Science and Data Analysis Ser.

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