12. Multilevel Analysis for the Single Factor Repeated Measures Design

  1. Andrew Rutherford

Published Online: 30 SEP 2013

DOI: 10.1002/9781118491683.ch12

Anova and Ancova, Second Edition

Anova and Ancova, Second Edition

How to Cite

Rutherford, A. (2011) Multilevel Analysis for the Single Factor Repeated Measures Design, in Anova and Ancova, Second Edition, John Wiley & Sons, Inc., Hoboken, New Jersey. doi: 10.1002/9781118491683.ch12

Publication History

  1. Published Online: 30 SEP 2013
  2. Published Print: 7 OCT 2011

ISBN Information

Print ISBN: 9780470385555

Online ISBN: 9781118491683

SEARCH

Keywords:

  • analysis of variance (ANOVA);
  • general linear model (GLM);
  • multilevel analysis;
  • parameter estimation;
  • regression;
  • single factor repeated measures experimental design;
  • SYSTAT

Summary

Mixed effects analysis in regression and analysis of variance (ANOVA) concerns analyses in which some variables are fixed, while others are random. This chapter discusses the multilevel analysis approach to the single factor repeated measures experimental design. It demonstrates the equivalence of the multilevel general linear model (GLM) and the repeated measures experimental design GLM for the repeated measures data, and describes how the multilevel approach allows for different covariance structures. The ability of multilevel models to provide superior account of random factor effects is tied very closely to their use of different methods of parameter estimation. The chapter presents a step-by-step description of how to implement the multilevel GLM described by equation in SYSTAT, and discusses some aspects of the SYSTAT output.

Controlled Vocabulary Terms

analysis of variance; hierarchical linear model; regression; repeated measures design