John C Gower, Garmt B Dijksterhuis

Procrustes Problems

• Gebundenes Buch

Produktbeschreibung

The authors are leading researchers and the topics covered will be of interest to all professional statisticians, whether they be in industry, government department or research institute. Other books in the series include 23. W.J.Krzanowski: Principles of multivariate analysis: a user's perspective updated edition 24. J.Durbin and S.J.Koopman: Time series analysis by State Space Models 25. Peter J. Diggle, Patrick Heagerty, Kung-Yee Liang, Scott L. Zeger: Analysis of Longitudinal Data 2/e 26. J.K. Lindsey: Nonlinear Models in Medical Statistics 27. Peter J. Green, Nils L. Hjort & Sylvia Richardson: Highly Structured Stochastic Systems 28. Margaret S. Pepe: The Statistical Evaluation of Medical Tests for Classification and Prediction 29. Christopher G. Small and Jinfang Wang: Numerical Methods for Nonlinear Estimating Equations

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Procrustean methods are used to transform one set of data to represent another set of data as closely as possible. The name derived from the Greek myth where Procrustes invited passers-by in for a pleasant meal and a night's rest on a magical bed that would exactly fit any guest. He then either stretched the guest on a rack or cut off their legs to make them fit perfectly into the bed. Theseus turned the tables on Procrustes, fatally adjusting him to fit his own bed. The text is the first systematic overview of Procrustean methods in one volume, presenting a unifying Analysis of Variance framework for different matching methods and the development of statistical tests.

Produktdetails

• Verlag: Sydney University Press
• Seitenzahl: 248
• Erscheinungstermin: 8. April 2004
• Englisch
• Abmessung: 234mm x 156mm x 16mm
• Gewicht: 531g
• ISBN-13: 9780198510581
• ISBN-10: 0198510586
• Artikelnr.: 20991194

Autorenporträt

John C Gower is on the Editorial board of Journal of Classification and of The Mathematical Scientist. He is a past President of the International Federation of Classification Societies, a past President of the British Region of the International Biometric society, and a past Honorary Secretary of the Royal Statistical Society. Garmt B Dijksterhuis is on the Editorial board of Food Quality and Preference and is the Chairman of Sensometric Society.

Inhaltsangabe

Preface
Contents
1: Introduction
2: Initial transformations
3: Two-set Procrustes problems: generalities
4: Orthogonal Procrustes problems
5: Projection Procrustes problems
6: Oblique Procrustes problems
7: Other two-sets Procrustes problems
8: Weighting, scaling and missing values
9: Generalised Procrustes problems
10: Analysis of variance framework
11: Incorporating information on variables
12: Accuracy and stability
13: Links with other methods
14: Some application areas, future and conclusion
A1: Configurations
A2: Rotations and reflections
A3: Orthogonal projections
A4: Oblique axes
A5: A minimisation problem
A6: Symmetric matrix products
References