Statnote 9: The one-way analysis of variance (random effects model)

Anthony Hilton, Richard A. Armstrong

Research output: Contribution to specialist publication or newspaperArticle


There is an alternative model of the 1-way ANOVA called the 'random effects' model or ‘nested’ design in which the objective is not to test specific effects but to estimate the degree of variation of a particular measurement and to compare different sources of variation that influence the measurement in space and/or time. The most important statistics from a random effects model are the components of variance which estimate the variance associated with each of the sources of variation influencing a measurement. The nested design is particularly useful in preliminary experiments designed to estimate different sources of variation and in the planning of appropriate sampling strategies.
Original languageEnglish
Number of pages2
Specialist publicationMicrobiologist
Publication statusPublished - Jun 2007


  • 1-way ANOVA
  • random effects model
  • nested design
  • degree of variation
  • sources of variation


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