Tukey’s Range Test Calculator

Tukey’s HSD Test Calculator

Enter the number of groups, error degrees of freedom, MSE, sample size per group, and significance level.

HSD is computed as: HSD = q₍crit₎ × √(MSE/n), where q₍crit₎ is the Studentized Range critical value.

Step 1: Enter Parameters

Number of Groups (k):

e.g., 3

Error Degrees of Freedom (df):

e.g., 27

Mean Square Error (MSE):

e.g., 20

Sample Size per Group (n):

e.g., 10

Significance Level (α):

e.g., 0.05

This calculator first finds the critical value q₍crit₎ from the Studentized Range (Q) distribution such that:

\( F_Q(q_{\text{crit}}; k, \text{df}) = 1-\alpha \)

Then Tukey’s HSD is computed as: \( \text{HSD} = q_{\text{crit}} \times \sqrt{\frac{\text{MSE}}{n}} \)