Tukey's HSD
Post Hoc Test Steps
example | calculator

M = treatment/group mean
n = number per treatment/group


  1. Calculate an analysis of variance (e.g., One-way between-subjects ANOVA).
  2. Select two means and note the relevant variables (Means, Mean Square Within, and number per condition/group)
  3. Calculate Tukey's test for each mean comparison
  4. Check to see if Tukey's score is statistically significant with Tukey's probability/critical value table taking into account appropriate dfwithin and number of treatments.

  • An example of the application of this formula
  • Practice by creating your own data and then check your work with the Virtual Statistician Tukey Post-Hoc Calculator (will open in another window) (Only works with n = 8)
  • A description of the Analysis of Variance and Tukey Post Hoc Test.

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