On the Tukey Test for the Equality of Means and the Hartley Test for the Equality of Variances
K. V. Ramachandran · The Annals of Mathematical Statistics · 1956
The unbiasedness of the Tukey Studentized range test for the equality of means of $k$ univariate normal populations with a common variance and of the Hartley $F_{\max}$ ratio test for the equality of variances of $k$ univariate normal populations is proved.