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Tukey HSD    =   Qα(k,df)
MSerror
n
where
  • Qα(k,df) is the value of the studentized range statistic for the total number of treatments (k) at the chosen type I error rate (α). df are the same as for MSerror,
  • MSerror is the mean square error from the ANOVA table. For one-way ANOVA df = k(N-1), where k is the number of treatments, and N is the total number of observations,
  • n is the sample size.