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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.
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Previews available in: English
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Robust Diagnostic Regression Analysis
2012, Springer London, Limited
in English
1461211603 9781461211600
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"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 |