ANOVA is ANalysis Of VAriance

  • it's a set of statistical models
  • they are used to analyze differences between group means and their associated procedures
    • e.g. variation among and between groups


One-Way ANOVA F-Test

Goal: compare many means in a single hypothesis

  • instead of doing pairwise $t$-test, do ANOVA
  • but you can still perform $t$-test or Tukey HSD Test as post-ANOVA analysis
  • also, a good way of checking independence between two variables: numerical and categorical

Some authors argue that the ANOVA step is in fact unnecessary and we could perform the Tukey HSD test alone. Nevertheless, the ANOVA + Tukey approach is considered standard is most books.

Not Normal?

If not Normal, use these non-parametric tests