Combinatorial Inference in Geometric Data Analysis

by Le Roux, Brigitte

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Title Statements

Full title :Combinatorial Inference in Geometric Data Analysis

Edition Statements

Publication Date:2020.

Publication Statements

Publisher(s):Chapman and Hall/CRC
Place of Publication:Milton
Language:eng
Publication Date:2020.

The Physical Object

Description:1 online resource (269 pages)

Edition Identifiers

ISBN:9781351651332, 1351651331
DOI:10.1201/9781315155289.
oclc:on1090025607
LC Classification:QA360
Dewey Decimal:515/.9

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 Re…