## The Annals of Mathematical Statistics

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

W. J. Dixon

#### 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

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