Springer Series in Statistics

Robust Diagnostic Regression Analysis

Authors: Atkinson, Anthony, Riani, Marco

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eBook $109.00
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  • ISBN 978-1-4612-1160-0
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Hardcover $169.99
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  • ISBN 978-0-387-95017-4
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Softcover $149.99
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  • ISBN 978-1-4612-7027-0
  • Free shipping for individuals worldwide
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About this book

This book is about using graphs to understand the relationship between a regression model and the data to which it is fitted. Because of the way in which models are fitted, for example, by least squares, we can lose infor­ mation about the effect of individual observations on inferences about the form and parameters of the model. The methods developed in this book reveal how the fitted regression model depends on individual observations and on groups of observations. Robust procedures can sometimes reveal this structure, but downweight or discard some observations. The novelty in our book is to combine robustness and a forward" " search through the data with regression diagnostics and computer graphics. We provide easily understood plots that use information from the whole sample to display the effect of each observation on a wide variety of aspects of the fitted model. This bald statement of the contents of our book masks the excitement we feel about the methods we have developed based on the forward search. We are continuously amazed, each time we analyze a new set of data, by the amount of information the plots generate and the insights they provide. We believe our book uses comparatively elementary methods to move regression in a completely new and useful direction. We have written the book to be accessible to students and users of statistical methods, as well as for professional statisticians.

Reviews

From the reviews:

MATHEMATICAL REVIEWS

"The text is lucidly written and theoretical discussions are amply complemented with examples and exercises. The book is accessible to students and users of statistical methods. It could, without doubt, serve as a textbook for courses on applied regression and generalized linear models. It will be a welcome addition to the resources of any applied statistician."

TECHNOMETRICS

"I would recommend practitioners of regression, this is, probably most of us, to read and use this book."

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION

"I would recommend ROBUST DIAGNOSTICS REGRESSION ANALYSIS and tools for anyone who does a fair amount of applied regression analysis on small- to moderate-sized datasets. It would be especially useful for anyone who uses nonlinear regression and/or generalized linear regression, where many fewer diagnostic tools are available. As a textbook, it would be good as a supplemental or even a primary text in a masters-level regression course. Researchers in other fields who do their own regression analysis also should be referred to this text, which they will find quite understandable."

"This book presents a host of graphical tools for regression data analysis, based on the ‘forward search’ approach. … In order to make the work accessible to users, the authors have developed a number of SPlus programs. … it would be an excellent reference book for students as well as other data analysts." (Debasis Sengupta, Sankhya, Vol. 65 (4), 2003)

"The topic of this monograph is the use of certain types of regression diagnostics, based on a robust forward search … . the monograph is absolutely worth reading. … The monograph is set up in a very instructive manner … . The material is treated in a clear way, the book is very well written and understandable. Summarizing, this monograph can be recommended to readers who want to learn … about the process of modeling in regression … ." (C. Becker, Metrika, July, 2002)

"This book presents highly informative graphical methods to understand how a fitted regression model depends on … observations. … The book is intended to be accessible to students and practitioners, and … provides useful material for professional statisticians. … An S-Plus library of functions for implementing many of the methods presented in the book is available … . This makes it very easy for anyone to apply the ideas … . the authors have made an important contribution to the field of regression … ." (Hariharan Iyer, Zentralblatt MATH, Vol. 964, 2001)

"This very down-to-earth volume explores regression models via a ‘forward search’ technique … . Programming was done in GAUSS, and S-Plus functions have been developed. A web site provides programs and data … . These methods provide additional analysis techniques for regression practitioners, and the book is a welcome addition to the literature." (N. R. Draper, Short Book Reviews, Vol. 21 (1), 2001)


Table of contents (6 chapters)

  • Some Regression Examples

    Atkinson, Anthony (et al.)

    Pages 1-15

  • Regression and the Forward Search

    Atkinson, Anthony (et al.)

    Pages 16-42

  • Regression

    Atkinson, Anthony (et al.)

    Pages 43-80

  • Transformations to Normality

    Atkinson, Anthony (et al.)

    Pages 81-135

  • Nonlinear Least Squares

    Atkinson, Anthony (et al.)

    Pages 136-178

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-1-4612-1160-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-0-387-95017-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.99
price for USA in USD
  • ISBN 978-1-4612-7027-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Robust Diagnostic Regression Analysis
Authors
Series Title
Springer Series in Statistics
Copyright
2000
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-1160-0
DOI
10.1007/978-1-4612-1160-0
Hardcover ISBN
978-0-387-95017-4
Softcover ISBN
978-1-4612-7027-0
Series ISSN
0172-7397
Edition Number
1
Number of Pages
XVI, 328
Topics