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Exploring Multivariate Data with the Forward Search

  • Anthony C. Atkinson
  • Marco Riani
  • Andrea Cerioli

Part of the Springer Series in Statistics book series (SSS)

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Anthony C. Atkinson, Marco Riani, Andrea Cerioli
    Pages 1-30
  3. Anthony C. Atkinson, Marco Riani, Andrea Cerioli
    Pages 31-88
  4. Anthony C. Atkinson, Marco Riani, Andrea Cerioli
    Pages 89-150
  5. Anthony C. Atkinson, Marco Riani, Andrea Cerioli
    Pages 151-228
  6. Anthony C. Atkinson, Marco Riani, Andrea Cerioli
    Pages 229-296
  7. Anthony C. Atkinson, Marco Riani, Andrea Cerioli
    Pages 297-366
  8. Anthony C. Atkinson, Marco Riani, Andrea Cerioli
    Pages 367-456
  9. Anthony C. Atkinson, Marco Riani, Andrea Cerioli
    Pages 457-549
  10. Back Matter
    Pages 551-623

About this book

Introduction

The forward search provides a method of revealing the structure of data through a mixture of model fitting and informative plots. The continuous multivariate data that are the subject of this book are often analyzed as if they come from one or more normal distributions. Such analyses, including the need for transformation, may be distorted by the presence of unidentified subsets and outliers, both individual and clustered. These important features are disguised by the standard procedures of multivariate analysis. The book introduces methods that reveal the effect of each observation on fitted models and inferences.

The powerful methods of data analysis will be of importance to scientists and statisticians. Although the emphasis is on the analysis of data, theoretical developments make the book suitable for a graduate statistical course on multivariate analysis. Topics covered include principal components analysis, discriminant analysis, cluster analysis and the analysis of spatial data. S-Plus programs for the forward search are available on a web site.

This book is a companion to Atkinson and Riani's Robust Diagnostic Regression Analysis of which the reviewer for The Journal of the Royal Statistical Society wrote "I read this book, compulsive reading such as it was, in three sittings."

Anthony Atkinson is Emeritus Professor of Statistics at the London School of Economics. He is also the author of Plots, Transformations, and Regression and coauthor of Optimum Experimental Designs. Professor Atkinson has served as Editor of The Journal of the Royal Statistical Society, Series B.

Keywords

Boxplot Estimator Excel Linear discriminant analysis Multivariate statistics Normal distribution Regression analysis Variance calculus cluster analysis correlation data analysis statistical method statistics

Authors and affiliations

  • Anthony C. Atkinson
    • 1
  • Marco Riani
    • 2
  • Andrea Cerioli
    • 2
  1. 1.Department of StatisticsThe London School of EconomicsLondonUK
  2. 2.Dipartimento di Economia, Sezione di Statistica e InformaticaUniversità di ParmaParmaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-21840-3
  • Copyright Information Springer-Verlag New York 2004
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-2353-0
  • Online ISBN 978-0-387-21840-3
  • Series Print ISSN 0172-7397
  • Buy this book on publisher's site