## The Annals of Mathematical Statistics

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

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

#### 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