## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 29, Number 1 (1958), 290-294.

### A Note on Balanced Designs

#### Abstract

It is proved that a necessary and sufficient condition for a general design to be balanced is that the matrix of the adjusted normal equations for the estimates of treatment effects has $v - 1$ equal latent roots other than zero.

#### Article information

**Source**

Ann. Math. Statist., Volume 29, Number 1 (1958), 290-294.

**Dates**

First available in Project Euclid: 27 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177706729

**Digital Object Identifier**

doi:10.1214/aoms/1177706729

**Mathematical Reviews number (MathSciNet)**

MR93881

**Zentralblatt MATH identifier**

0228.62045

**JSTOR**

links.jstor.org

#### Citation

Rao, V. R. A Note on Balanced Designs. Ann. Math. Statist. 29 (1958), no. 1, 290--294. doi:10.1214/aoms/1177706729. https://projecteuclid.org/euclid.aoms/1177706729