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Regression Diagnostics


"Its principal themes, sometimes treated independently, include problem-flagging statistics, variable transformations, analytical graphics, and the spirit of Tukey's exploratory data analysis. Regression Diagnostics. . . combines these themes nicely. . . . The volume is . . . an accurate and detailed portrayal, resulting in a valuable contribution. . . . All in all, this volume is highly recommended not only for systems theorists but also for those sociologists and others desiring an accurate portrayal of feedback concepts. The book is careful and comprehensive . . . and generally brings the reader up to date on the feedback literature."

--Contemporary Sociology

"This excellent, concise, and practical handling of diagnostic methods suffers in no way from its use of social-statistics illustrations. The 80 pages are as good as anything I have seen in promoting, explaining, and illustrating the diagnostic tools for regression."


Linear least-squares regression analysis makes very strong assumptions about the structure of data--and, when these assumptions fail to characterize accurately the data at hand, the results of a regression analysis can be seriously misleading. With Regression Diagnostics, researchers now have an accessible explanation of the techniques needed for exploring problems that comprise a regression analysis, and for determining whether certain assumptions appear reasonable. Beginning in Chapter 2 with a review of least-squares linear regression, the book covers such topics as the problem of collinearity in multiple regression, dealingwith outlying and influential data, non-normality of errors, non-constant error variance, and the problems and opportunities presented by discrete data. In addition, sophisticated diagnostics based on maximum-likelihood methods, score tests, and constructed variables are introduced. The book concludes with suggestions on how regression diagnostic techniques can be effectively applied in research, and offers advice on implementing these suggestions through the use of standard statistical computer packages.

Product Details

Table of Contents

IntroductionLinear Least-Squares RegressionCollinearityOutlying and Influential DataNon-Normally Distributed ErrorsNon-Constant Error VarianceNonlinearityDiscrete DataMaximum-Likelihood Methods, Score Tests, and Constructed VariablesRecommendations

About the Author

John Fox is professor of sociology at McMaster University in Hamilton, Ontario, Canada. Fox earned a PhD in sociology from the University of Michigan in 1972, and prior to arriving at McMaster, he taught at the University of Alberta and at York University in Toronto, where he was cross-appointed in the sociology and mathematics and statistics departments and directed the university's statistical consulting service. He has delivered numerous lectures and workshops on statistical topics in North and South America, Europe, and Asia, at such places as the summer program of the Inter-University Consortium for Political and Social Research, the Oxford University Spring School in Quantitative Methods for Social Research, and the annual meetings of the American Sociological Association. Much of his recent work has been on formulating methods for visualizing complex statistical models and on developing software in the R statistical computing environment. He is the author and co-author of many articles, in such journals as Sociological Methodology, Sociological Methods and Research, The Journal of the American Statistical Association, The Journal of Statistical Software, The Journal of Computational and Graphical Statistics, Statistical Science, Social Psychology Quarterly, The Canadian Review of Sociology and Anthropology, and The Canadian Journal of Sociology. He has written a number of other books, including Regression Diagnostics (SAGE, 1991), Nonparametric Simple Regression (SAGE, 2000), Multiple and General-ized Nonparametric Regression (SAGE, 2000), A Mathematical Primer for Social Statistics (SAGE, 2008), and, with Sanford Weisberg, An R Companion to Applied Regression, Second Edition (SAGE, 2010). Fox also edits the SAGE Quantitative Applications in the Social Sciences (QASS) monograph series.

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