The Annals of Mathematical Statistics

A $k$-Sample Slippage Test for an Extreme Population

Frederick Mosteller

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Abstract

A test is proposed for deciding whether one of $k$ populations has slipped to the right of the rest, under the null hypothesis that all populations are continuous and identical. The procedure is to pick the sample with the largest observation, and to count the number of observations $r$ in it which exceed all observations of all other samples. If all samples are of the same size $n, n$ large, the probability of getting $r$ or more such observations, when the null hypothesis is true, is about $k^{1-r}$. Some remarks are made about kinds of errors in testing hypothesies.

Article information

Source
Ann. Math. Statist. Volume 19, Number 1 (1948), 58-65.

Dates
First available in Project Euclid: 28 April 2007

Permanent link to this document
http://projecteuclid.org/euclid.aoms/1177730290

Digital Object Identifier
doi:10.1214/aoms/1177730290

Mathematical Reviews number (MathSciNet)
MR24116

Zentralblatt MATH identifier
0031.37102

JSTOR
links.jstor.org

Citation

Mosteller, Frederick. A $k$-Sample Slippage Test for an Extreme Population. Ann. Math. Statist. 19 (1948), no. 1, 58--65. doi:10.1214/aoms/1177730290. http://projecteuclid.org/euclid.aoms/1177730290.


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