Tukey HSD Quantile in JMP

Question

I am giving same command in SAS and JMP but getting different results.
This is to find Tukey HSD quantile.

BASE SAS command:                           Output
qa = probmc("range", . , 0.95, 2, 2);       6.0848698
qb = probmc("range", . , 0.95, 20, 6);     4.4452367

JMP scripting command (JSL)
qa = Tukey HSD Quantile(0.95, 2, 2);     4.30264639
qb = Tukey HSD Quantile(0.95, 6, 20);    3.14325822

Can someone tell about this?

bckim1 · Answer

why we have to devided by sqrt(2)? which one is correct?

mpb · Answer

The JMP Tukey HSD Quantile is the SAS probmc / sqrt(2).
It is the same as the q* shown when you choose Tukey HSD in Fit Y by X.
For example 4.30264639 = 6.0848698 / sqrt(2).