## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 26, Number 1 (1955), 117-121.

### Some New Test Criteria in Multivariate Analysis

#### Abstract

Three new test criteria are proposed for overall tests of hypotheses in multivariate analysis. They are based on the characteristic roots of certain matrices obtained from the product moment matrices of samples drawn from multivariate normal populations. The approximate distributions of the statistics involved in the tests are found as Type I or Type II Beta distributions.

#### Article information

**Source**

Ann. Math. Statist., Volume 26, Number 1 (1955), 117-121.

**Dates**

First available in Project Euclid: 28 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177728599

**Digital Object Identifier**

doi:10.1214/aoms/1177728599

**Mathematical Reviews number (MathSciNet)**

MR67429

**Zentralblatt MATH identifier**

0064.13801

**JSTOR**

links.jstor.org

#### Citation

Pillai, K. C. S. Some New Test Criteria in Multivariate Analysis. Ann. Math. Statist. 26 (1955), no. 1, 117--121. doi:10.1214/aoms/1177728599. https://projecteuclid.org/euclid.aoms/1177728599