Procrustes Problems
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Procrustes Problems: (30 Oxford Statistical Science Series)

Procrustes Problems: (30 Oxford Statistical Science Series)

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About the Book

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

Table of Contents:
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


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Product Details
  • ISBN-13: 9780198510581
  • Publisher: Oxford University Press
  • Publisher Imprint: Oxford University Press
  • Height: 242 mm
  • No of Pages: 248
  • Series Title: 30 Oxford Statistical Science Series
  • Weight: 471 gr
  • ISBN-10: 0198510586
  • Publisher Date: 22 Jan 2004
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Spine Width: 18 mm
  • Width: 161 mm


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