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Introduction to Mixed Modelling: Beyond Regression and Analysis of Variance

ISBN: 978-0-470-01496-7
376 pages
October 2006
Introduction to Mixed Modelling: Beyond Regression and Analysis of Variance (0470014962) cover image
Mixed modelling is one of the most promising and exciting areas of statistical analysis, enabling more powerful interpretation of data through the recognition of random effects. However, many perceive mixed modelling as an intimidating and specialized technique. This book introduces mixed modelling analysis in a simple and straightforward way, allowing the reader to apply the technique confidently in a wide range of situations.

Introduction to Mixed Modelling shows that mixed modelling is a natural extension of the more familiar statistical methods of regression analysis and analysis of variance. In doing so, it provides the ideal introduction to this important statistical technique for those engaged in the statistical analysis of data.

This essential book:

  • Demonstrates the power of mixed modelling in a wide range of disciplines, including industrial research, social sciences, genetics, clinical research, ecology and agricultural research.
  • Illustrates how the capabilities of regression analysis can be combined with those of ANOVA by the specification of a mixed model.
  • Introduces the criterion of Restricted Maximum Likelihood (REML) for the fitting of a mixed model to data.
  • Presents the application of mixed model analysis to a wide range of situations and explains how to obtain and interpret Best Linear Unbiased Predictors (BLUPs).
  • Features a supplementary website containing solutions to exercises, further examples, and links to the computer software systems GenStat and R.

This book provides a comprehensive introduction to mixed modelling, ideal for final year undergraduate students, postgraduate students and professional researchers alike. Readers will come from a wide range of scientific disciplines including statistics, biology, bioinformatics, medicine, agriculture, engineering, economics, and social sciences.

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Preface.

1. The need for more than one random-effect term when fitting a regression line.

2. The need for more than one random-effect term in a designed experiment.

3. Estimation of the variances of random-effect terms.

4. Interval estimates for fixed-effect terms in mixed models.

5. Estimation of random effects in mixed models: best linear unbiased predictors.

6. More advanced mixed models for more elaborate data sets.

7. Two case studies.

8. The use of mixed models for the analysis of unbalanced experimental designs.

9. Beyond mixed modelling.

10. Why is the criterion for fitting mixed models called residual maximum likelihood?

References.

Index.

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Nicholas W. Galwey, Principal Scientist, GlaxoSmithKline, Harlow, Essex. A respected consultant and researcher in the pharmaceutical industry with extensive teaching experience.
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  • Provides a straightforward introduction to mixed modelling techniques.
  • Suitable for a wide audience of students and practitioners, from statistics, bioinformatics, medicine, industry and economics.
  • Illustrates how the capabilities of regression analysis can be combined with those of ANOVA by the specification of a mixed model.
  • Introduces to the criterion of Restricted Maximum Likelihood (REML) for the fitting of a mixed model to data.
  • Introduced the application of mixed model analysis to a wide range of situations and how to obtain and interpret Best Linear Unbiased Predictors (BLUPs).
  • Written by a well-respected consultant with extensive teaching experience.
  • Includes exercises and solutions, enabling use for self-study or as a course text.
  • Supported by a Website featuring full solutions to exercises, further examples, statistical software and data sets.
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“The book provides a comprehensive introduction to mixed modelling, ideal for final year undergraduate students, postgraduate students and professional researchers alike. Readers will come from a wide range of scientific disciplines including statistics, biology, bioinformatics, medicine, agriculture, engineering, economics, and social sciences.”  (Zentralblatt MATH, 2012)

"This book would be useful for anyone who sues GenStat and/or R desiring an introduction to applied mixed modeling, and they should certainly have a look." (Technometrics, August 2008)

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Companion WebsiteClick here for a supplementary website containing solutions to exercises, further examples, and links to the computer software systems GenStat and R.
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Introduction to Mixed Modelling: Beyond Regression and Analysis of Variance (US $109.00)

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