Use our free Studentized Range Distribution Calculator to quickly compute the observed q-statistic for post-hoc analysis. Essential for Tukey's HSD, this tool helps researchers compare multiple group means after ANOVA by calculating the studentized range value from your maximum and minimum group means, Mean Squared Error (MSE), and sample size.
Formula:
q = (Mmax - Mmin) / SE
SE = √(MSE / n)
Where:
- q: Observed Studentized Range statistic
- Mmax: Maximum group mean
- Mmin: Minimum group mean
- SE: Standard Error of the mean
- MSE: Mean Squared Error from ANOVA
- n: Sample size per group