Analysis of variance (ANOVA)

  • ANOVA can mean several things: actual decomposition of variance, comparing the group means or representation of regression results

  • Boils down to a regression with dummy (categorical) variables

  • Heavy traction in terminolgy from design of exepriments (see definitons section here)

  • Standartised result tables with SS, DF, MSS, F, p

  • Frightening multitude of R packages

  • May want to look at a simple reference case


ANOVA can be seen as “syntactic sugar” for a special subgroup of linear regression models. ANOVA is regularly used by researchers who are not statisticians by training. They are now “institutionalized” and its hard to convert them back to using the more general representation suncoolsu



Gelman, A. (2005). Analysis of variance: why it is more important than ever (with discussion). Annals of Statistics 33, 1–53. doi:10.1214/009053604000001048