Chapter 11. Analysis of Variance and Linear Models

  1. Robert C. Elston1 and
  2. William D. Johnson2

Published Online: 31 OCT 2008

DOI: 10.1002/9780470740781.ch11

Basic Biostatistics for Geneticists and Epidemiologists: A Practical Approach

Basic Biostatistics for Geneticists and Epidemiologists: A Practical Approach

How to Cite

Elston, R. C. and Johnson, W. D. (2008) Analysis of Variance and Linear Models, in Basic Biostatistics for Geneticists and Epidemiologists: A Practical Approach, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470740781.ch11

Author Information

  1. 1

    Department of Epidemiology and Biostatistics, Case Western Reserve University, USA

  2. 2

    Pennington Biomedical Research Center, Louisiana State University System, USA

Publication History

  1. Published Online: 31 OCT 2008
  2. Published Print: 24 OCT 2007

ISBN Information

Print ISBN: 9780470024898

Online ISBN: 9780470740781

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Keywords:

  • analysis of variance (ANOVA): one-way, nested, hierarchical, two-way, linear model, fixed, random, and mixed models, factorial arrangement of treatments;
  • variance components;
  • sum of squares, mean square, expected mean square;
  • sampling fraction, fixed effects, random effects;
  • simple effects, main effects, interaction effects, additive effects;
  • analysis of covariance, covariate, concomitant variable;
  • data transformation

Summary

This chapter contains sections titled:

  • Multiple Treatment Groups

  • Completely Randomized Design with a Single Classification of Treatment Groups

  • Data with Multiple Classifications

  • Analysis of Covariance

  • Assumptions Associated with the Analysis of Variance

  • Summary

  • Further Reading

  • Problems