## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 19, Number 3 (1948), 351-359.

### On a Source of Downward Bias in the Analysis of Variance and Covariance

#### Abstract

It is shown that if, in the analysis of variance, the experiments are not in a state of statistical control due to variations in the true means, then the test will have a downward bias. The power function of the analysis of variance test is obtained when this downward bias is present.

#### Article information

**Source**

Ann. Math. Statist., Volume 19, Number 3 (1948), 351-359.

**Dates**

First available in Project Euclid: 28 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177730199

**Digital Object Identifier**

doi:10.1214/aoms/1177730199

**Mathematical Reviews number (MathSciNet)**

MR30164

**Zentralblatt MATH identifier**

0032.17501

**JSTOR**

links.jstor.org

#### Citation

Madow, William G. On a Source of Downward Bias in the Analysis of Variance and Covariance. Ann. Math. Statist. 19 (1948), no. 3, 351--359. doi:10.1214/aoms/1177730199. https://projecteuclid.org/euclid.aoms/1177730199