Statnote 10: the two-way analysis of variance

Anthony Hilton, Richard A. Armstrong

Research output: Contribution to specialist publication or newspaperArticle


The two-way design has been variously described as a matched-sample F-test, a simple within-subjects ANOVA, a one-way within-groups ANOVA, a simple correlated-groups ANOVA, and a one-factor repeated measures design! This confusion of terminology is likely to lead to problems in correctly identifying this analysis within commercially available software. The essential feature of the design is that each treatment is allocated by randomization to one experimental unit within each group or block. The block may be a plot of land, a single occasion in which the experiment was performed, or a human subject. The ‘blocking’ is designed to remove an aspect of the error variation and increase the ‘power’ of the experiment. If there is no significant source of variation associated with the ‘blocking’ then there is a disadvantage to the two-way design because there is a reduction in the DF of the error term compared with a fully randomised design thus reducing the ‘power’ of the analysis.
Original languageEnglish
Number of pages2
Specialist publicationMicrobiologist
Publication statusPublished - Sept 2007




Dive into the research topics of 'Statnote 10: the two-way analysis of variance'. Together they form a unique fingerprint.

Cite this