Statistics for Biology and Health

Regression with Linear Predictors

Authors: Andersen, Per Kragh, Skovgaard, Lene Theil

  • 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

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eBook $64.99
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  • ISBN 978-1-4419-7170-8
  • Digitally watermarked, DRM-free
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  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $84.95
price for USA
  • ISBN 978-1-4419-7169-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $84.95
price for USA
  • ISBN 978-1-4614-2627-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

About the authors

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.

Reviews

From the reviews:

“Specific orientation is emphasized as early as page 3 where three examples are discussed, one with a quantitative response, one with a binary response, and one with a survival time response. … This book is extremely well written and the 171 excellent diagrams produced by Therese Graversen enhance it. … In summary, this book is excellent and fully appropriate for the target audience.” (Norman R. Draper, International Statistical Review, Vol. 79 (2), 2011)

“The monograph belongs to the series of Statistics for Biology and Health, and is written by the internationally recognized experts in applied statistics from the University of Copenhagen, Denmark. … There are exercises in each chapter, where consideration is performed meticulously, giving ready-to-use tools for practical regression numerical modeling and analysis. … The book is especially useful for researchers who apply regressions to solve practical problems and want to extract real meaning from the obtained models.” (Stan Lipovetsky, Technometrics, Vol. 53 (3), August, 2011)


Table of contents (8 chapters)

  • Introduction

    Andersen, Per Kragh (et al.)

    Pages 1-42

  • Statistical models

    Andersen, Per Kragh (et al.)

    Pages 43-94

  • One categorical covariate

    Andersen, Per Kragh (et al.)

    Pages 95-171

  • One quantitative covariate

    Andersen, Per Kragh (et al.)

    Pages 173-230

  • Multiple regression, the linear predictor

    Andersen, Per Kragh (et al.)

    Pages 231-302

Buy this book

eBook $64.99
price for USA (gross)
  • ISBN 978-1-4419-7170-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $84.95
price for USA
  • ISBN 978-1-4419-7169-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $84.95
price for USA
  • ISBN 978-1-4614-2627-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Regression with Linear Predictors
Authors
Series Title
Statistics for Biology and Health
Copyright
2010
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media LLC
eBook ISBN
978-1-4419-7170-8
DOI
10.1007/978-1-4419-7170-8
Hardcover ISBN
978-1-4419-7169-2
Softcover ISBN
978-1-4614-2627-1
Series ISSN
1431-8776
Edition Number
1
Number of Pages
IX, 494
Topics