## The Annals of Mathematical Statistics

### On the Tukey Test for the Equality of Means and the Hartley Test for the Equality of Variances

K. V. Ramachandran

#### Abstract

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.

#### Article information

Source
Ann. Math. Statist., Volume 27, Number 3 (1956), 825-831.

Dates
First available in Project Euclid: 28 April 2007

https://projecteuclid.org/euclid.aoms/1177728189

Digital Object Identifier
doi:10.1214/aoms/1177728189

Mathematical Reviews number (MathSciNet)
MR124106

Zentralblatt MATH identifier
0073.14303

JSTOR