Repression diagnostics are a collection of methods used to find (diagnose) unusual features in a regression problem.
Although informal diagnostics have a long and respectable history, it is only in the last fifteen years or so that they have been systematically studied. Atkinson has been one of the key players in this area, with several important papers dating from the early 1970s. Plots, Transformations and Regression clearly builds on much of that earlier work, but it is not intended as a research monograph, but as an introduction and guide to using diagnostics as a practical part of regression analysis. Both research statisticians and users of statistics should find Plots, Transformations and Regression generally both interesting and accessible.
A major strength of Plots, Transformations and Regression is Atkinson's decision to present only a subset of diagnostic methods that have been suggested in the literature, rather than giving the reader a menu of possibilities to choose from. In a field with few underlying principles and much that requires experience and practice, the reader who is new to the area can only benefit from learning a reasonably coherent collection of methods.' From a review by Sanford Weisberg, University of Minnesota.
"'Both research statisticians and users of statistics should find this book generally both interesting and accessible...The emphasis on examples [is] appealing.' Technometrics. 'Well-written [...] Presents a very readable, yet thorough, introduction to the large number of techniques that can be loosely referred to as extensions to linear regression.'
"'An unusually actual and application oriented monograph on an important subject, which has not yet been covered sufficiently by adequate books. In his very comprehensive and illustrative mode of presentation the author gives a lively presentation of classical and new extremely useful methods of checking models and the data to which they are fitted.'
- The algebra of deletion
- Diagnostic quantities
- The presentation of results
- Diagnostic plots for explanatory variables
- Transformations and constructed variables
- Transformations for percentages and proportions
- Other constructed variables
- The power transformation with shifted location
- Further diagnostic quantities
- Goodness of link tests
- Further problems, other analyses
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