The Annals of Mathematical Statistics

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

William G. Madow

Full-text: Open access

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


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