## The Annals of Mathematical Statistics

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

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

#### 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

**Permanent link to this document**

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**

links.jstor.org

#### Citation

Ramachandran, K. V. On the Tukey Test for the Equality of Means and the Hartley Test for the Equality of Variances. Ann. Math. Statist. 27 (1956), no. 3, 825--831. doi:10.1214/aoms/1177728189. https://projecteuclid.org/euclid.aoms/1177728189