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Procrustes Problems : Oxford Statistical Science - John C Gower

Procrustes Problems

Oxford Statistical Science

Hardcover Published: 1st February 2004
ISBN: 9780198510581
Number Of Pages: 248

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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 derives 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 the 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.This text, the first monograph on Procrustes methods, unifies several strands in the literature and contains much new material. It focuses on matching two or more configurations by using orthogonal, projection and oblique axes transformations. Group-average summaries play an important part and links with other group-average methods are discussed. This is the latest in the well-established and authoritative Oxford Statistical Science Series, which includes texts and monographs covering many topics of current research interest in pure and applied statistics. Each title has an original slant even if the material included is not specifically original. 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

Industry Reviews

"The contents of this book are interesting and are not found in standard statistics textbooks...This book should provoke interest and curiosity amony statisticians about Procrustes analysis."--TECHNOMETRICS
"Although he authors go into many technical details of Procrustes methods, their style is still very clearI can strongly recommend Procrustes Problems to those interested in Procrustes methods."--Journal of the American Statistical Association

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

ISBN: 9780198510581
ISBN-10: 0198510586
Series: Oxford Statistical Science
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 248
Published: 1st February 2004
Publisher: Oxford University Press
Country of Publication: GB
Dimensions (cm): 23.39 x 15.6  x 1.6
Weight (kg): 0.51

Earn 428 Qantas Points
on this Book