## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 25, Number 2 (1954), 273-289.

### A Single-Sample Multiple Decision Procedure for Ranking Variances of Normal Populations

Robert E. Bechhofer and Milton Sobel

#### Abstract

A single-sample multiple decision procedure for ranking variances of normal populations is described. Exact small-sample methods and a large-sample method are given for computing the sample sizes necessary to guarantee a preassigned probability of a correct ranking under specified conditions on certain variance ratios. Some tables computed by these methods are provided.

#### Article information

**Source**

Ann. Math. Statist., Volume 25, Number 2 (1954), 273-289.

**Dates**

First available in Project Euclid: 28 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177728785

**Digital Object Identifier**

doi:10.1214/aoms/1177728785

**Mathematical Reviews number (MathSciNet)**

MR93083

**Zentralblatt MATH identifier**

0055.13003

**JSTOR**

links.jstor.org

#### Citation

Bechhofer, Robert E.; Sobel, Milton. A Single-Sample Multiple Decision Procedure for Ranking Variances of Normal Populations. Ann. Math. Statist. 25 (1954), no. 2, 273--289. doi:10.1214/aoms/1177728785. https://projecteuclid.org/euclid.aoms/1177728785