Studentized Range Distribution (3 of 3)

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Since the computed value of ts is always 1.414 times the value of t, the tests using ts and t are identical whenever there are only two means in an experiment. The difference between the t and the studentized t distributions occurs when there are more than two means. The figure below shows the critical value of t for the 0.05 level as a function of the number of means. This figure is based on an experiment with 24 degrees of freedom. Naturally, the more means, the higher the critical value of ts.

studentized t as a function of the number of means

See also: Duncan, Newman Keuls, and Tukey HSD
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