Multivariate Data Analysis - Heck, Andre

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Résumé :
Interest in statistical methodology is increasing so rapidly in the astronomical community that accessible introductory material in this area is long overdue. This book fills the gap by providing a presentation of the most useful techniques in multivariate statistics. A wide-ranging annotated set of general and astronomical bibliographic references follows each chapter, providing valuable entry-points for research workers in all astronomical sub-disciplines. Although the applications considered focus on astronomy, the algorithms used can be applied to similar problems in other branches of science. Fortran programs are provided for many of the methods described.

Sommaire:
1 Data Coding and Initial Treatment.- 1.1 The Problem.- 1.2 Mathematical Description.- 1.3 Examples and Bibliography.- 2 Principal Components Analysis.- 2.1 The Problem.- 2.2 Mathematical Description.- 2.3 Examples and Bibliography.- 2.4 Software and Sample Implementation.- 3 Cluster Analysis.- 3.1 The Problem.- 3.2 Mathematical Description.- 3.3 Examples and Bibliography.- 3.4 Software and Sample Implementation.- 4 Discriminant Analysis.- 4.1 The Problem.- 4.2 Mathematical Description.- 4.3 Examples and Bibliography.- 4.4 Software and Sample Implementation.- 5 Other Methods.- 5.1 The Problems.- 5.2 Correspondence Analysis.- 5.3 Principal Coordinates Analysis.- 5.4 Canonical Correlation Analysis.- 5.5 Regression Analysis.- 5.6 Examples and Bibliography.- 6 Case Study: IUE Low Dispersion Spectra.- 6.1 Presentation.- 6.2 The IUE Satellite and its Data.- 6.3 The Astrophysical Context.- 6.4 Selection of the Sample.- 6.5 Definition of the Variables.- 6.6 Spectral Features.- 6.7 Multivariate Analyses.- 7 Conclusion: Strategies for Analysing Data.- 7.1 Objectives of Multivariate Methods.- 7.2 Types of Input Data.- 7.3 Strategies of Analysis.- General References.