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Statistics - Statistical Theory and Methods | Regression with Linear Predictors

Regression with Linear Predictors

Andersen, Per Kragh, Skovgaard, Lene Theil

2010, IX, 494p.

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  • Highlights similarities between regression models for quantitative, binary and survival time outcomes through construction of a linear predictor Emphasizes interpretation of effects and reparametrizations Includes worked examples showing that model building must be driven by the specific research question Accompanied by Web pages documenting analyses using R, SAS and STATA code
This text provides, in a non-technical language, a unified treatment of regression models for different outcome types, such as linear regression, logistic regression, and Cox regression. This is done by focusing on the many common aspects of these models, in particular the linear predictor, which combines the effects of all explanatory variables into a function which is linear in the unknown parameters. Specification and interpretation of various choices of parametrization of the effects of the covariates (categorical as well as quantitative) and interaction among these are elaborated upon. The merits and drawbacks of different link functions relating the linear predictor to the outcome are discussed with an emphasis on interpretational issues, and the fact that different research questions arise from adding or deleting covariates from the model is emphasized in both theory and practice. Regression models with a linear predictor are commonly used in fields such as clinical medicine, epidemiology, and public health, and the book, including its many worked examples, builds on the authors' more than thirty years of experience as teachers, researchers and consultants at a biostatistical department. The book is well-suited for readers without a solid mathematical background and is accompanied by Web pages documenting in R, SAS, and STATA, the analyses presented throughout the text. The authors are since 1978 affiliated with the Department of Biostatistics, University of Copenhagen. Per Kragh Andersen is professor; he is a co-author of the Springer book "Statistical Models Based on Counting Processes," and has served on editorial boards on several statistical journals. Lene Theil Skovgaard is associate professor; she has considerable experience as teacher and consultant, and has served on the editorial board of Biometrics.

Content Level » Graduate

Keywords » Cox - Logistic Regression - Radiologieinformationssystem - SAS - linear regression

Related subjects » Life Sciences, Medicine & Health - Statistical Theory and Methods

Table of contents / Sample pages 

Statistical models.- One categorical covariate.- One quantitative covariate.- Multiple regression, the linear predictor.- Model building: From purpose to conclusion.- Alternative outcome types and link functions.- Further topics.

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