## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 25, Number 1 (1954), 139-145.

### On Lehmann's Two-Sample Test

#### Abstract

This paper considers some properties of a two-sample test, suggested by Lehmann [2], against general alternatives. Alternative expressions are given for the test statistic; a general formula for the variance is derived and evaluated for the null case; the expectation is obtained in certain nonnull cases; and the exact distributions in the null case are tabulated for some small samples.

#### Article information

**Source**

Ann. Math. Statist., Volume 25, Number 1 (1954), 139-145.

**Dates**

First available in Project Euclid: 28 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177728853

**Digital Object Identifier**

doi:10.1214/aoms/1177728853

**Mathematical Reviews number (MathSciNet)**

MR59527

**Zentralblatt MATH identifier**

0055.37402

**JSTOR**

links.jstor.org

#### Citation

Sundrum, R. M. On Lehmann's Two-Sample Test. Ann. Math. Statist. 25 (1954), no. 1, 139--145. doi:10.1214/aoms/1177728853. https://projecteuclid.org/euclid.aoms/1177728853