Robust Diagnostic Regression Analysis

Robust Diagnostic Regression Analysis
Anthony Atkinson, Marco Riani, ...
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Last edited by MARC Bot
September 28, 2024 | History

Robust Diagnostic Regression Analysis

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 new way in which models are fitted, for example by least squares, we can lose information 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 this book is to combine robustness and a "forward" search through the data with regression diagnostics and computer graphics.

Publish Date
Publisher
Springer
Language
English
Pages
328

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Previews available in: English

Edition Availability
Cover of: Robust Diagnostic Regression Analysis
Robust Diagnostic Regression Analysis
2012, Springer London, Limited
in English
Cover of: Robust Diagnostic Regression Analysis
Robust Diagnostic Regression Analysis
2012, Springer
in English
Cover of: Robust Diagnostic Regression Analysis
Robust Diagnostic Regression Analysis
August 11, 2000, Springer
in English

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Book Details


Classifications

Library of Congress
QA273.A1-274.9QA274-, QA276-280

The Physical Object

Number of pages
328
Weight
0.534

Edition Identifiers

Open Library
OL34377066M
ISBN 13
9781461270270

Work Identifiers

Work ID
OL18731494W

Work Description

"The authors develop new, highly informative graphs for the analysis of regression data including generalized linear models. The graphs lead to the detection of model inadequacies, which may be systematic - perhaps a transformation of the data is needed - or there may be several outliers. These are identified, and their importance is established. Improved models can then be fitted and checked.

The graphs are generated from a robust forward search through the data, which orders the observations by their closeness to the assumed model.".

"The four main chapters cover regression, transformations of data in regression, nonlinear least squares, and generalized linear models. As well as illustrating their new procedures the authors develop the theory of the models used, particularly for generalized linear models. Exercises with solutions are given for these chapters. The book could thus be used as a text for a second course in regression as well as provide statisticians and scientists with a new set of tools for data analysis."--BOOK JACKET.

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September 28, 2024 Edited by MARC Bot import existing book
October 2, 2021 Created by ImportBot Imported from Better World Books record