Recent Advances in Descriptive Multivariate Analysis

Erscheinungsjahr 1995
ISBN: 978-0-19-852285-0
Verlag: OUP Oxford

Buch, Englisch, 376 Seiten, Print PDF, Format (B × H): 161 mm x 240 mm, Gewicht: 734 g

This book contains a collection of commissioned, edited chapters on the general theme of descriptive multivariate analysis, provided by a series of contributors to a symposium held at the University of Exeter. Areas covered include cluster analysis, principal components, canonical correlations and varieties, nonlinear methods, biplots, Procrustes analysis, correspondence analysis, graphical models, and analysis of functional data. The emphasis throughout is on methodology, but computational aspects and applications are also highlighted where appropriate. Each chapter is written by an expert in the field, and the book as a whole provides a state of the art summary of the descriptive multivariate area. The academic level lies between that of an introduction to the subject and an advanced monograph, and the book contains numerous topics not covered elsewhere in existing texts.

Autoren/Hrsg.

Krzanowski, Wojtek J.

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik

Inhaltsverzeichnis

- Foreword

- 1: Clustering from the perspective of combinatorial data analysis

- 2: Developments in principal component analysis

- 3: Canonical discriminant analysis: comparison of resampling methods and convex-hull approximation

- 4: Nonlinear methods for the analysis of homogeneity and heterogeneity

- 5: Principles component models for patterned covariance matrices, with applications to canonical correlation analysis of several sets of variables

- 6: Orthogonal and projection Procrustes analysis

- 7: Graphical Modelling

- 8: Convergent computation by iterative majorization: theory and applications in multidimensional data analysis

- 9: Biplot display of multivariate categorical data, with comments on multiple correspondence analysis

- 10: MANOVA biplots for two-way contingency tables

- 11: Some tools for the multivariate analysis of functional data

- 12: A general theory of biplots

- References