The Annals of Mathematical Statistics

Power Functions of the Sign Test and Power Efficiency for Normal Alternatives

W. J. Dixon

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Abstract

Power functions are tabulated for the sign test for various sample sizes and $\alpha$ near .05 and .01. Several of these power functions are compared with the power function of the $t$-test for samples from normal populations by means of a power efficiency function. The results indicate decreasing power efficiency for increasing sample size, for increasing level of significance and for increasing alternative.

Article information

Source
Ann. Math. Statist., Volume 24, Number 3 (1953), 467-473.

Dates
First available in Project Euclid: 28 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aoms/1177728986

Digital Object Identifier
doi:10.1214/aoms/1177728986

Mathematical Reviews number (MathSciNet)
MR58935

Zentralblatt MATH identifier
0051.36301

JSTOR
links.jstor.org

Citation

Dixon, W. J. Power Functions of the Sign Test and Power Efficiency for Normal Alternatives. Ann. Math. Statist. 24 (1953), no. 3, 467--473. doi:10.1214/aoms/1177728986. https://projecteuclid.org/euclid.aoms/1177728986


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