## The Annals of Mathematical Statistics

### A Note on Balanced Designs

V. R. Rao

#### 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

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