## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 19, Number 2 (1948), 238-245.

### The Factorial Approach to the Weighing Problem

#### Abstract

The weighing problem is discussed from the point of view of factorial experimentation. The paper contains a brief description of the fractional replication of the $2^n$ factorial system. It is shown that optimum designs for the weighing problem may easily be obtained with this approach. This approach is valuable in indicating the structure of weighing problem designs, and the limited conditions under which such designs can give results of value.

#### Article information

**Source**

Ann. Math. Statist., Volume 19, Number 2 (1948), 238-245.

**Dates**

First available in Project Euclid: 28 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177730248

**Digital Object Identifier**

doi:10.1214/aoms/1177730248

**Mathematical Reviews number (MathSciNet)**

MR25138

**Zentralblatt MATH identifier**

0032.04602

**JSTOR**

links.jstor.org

#### Citation

Kempthorne, O. The Factorial Approach to the Weighing Problem. Ann. Math. Statist. 19 (1948), no. 2, 238--245. doi:10.1214/aoms/1177730248. https://projecteuclid.org/euclid.aoms/1177730248