## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 23, Number 4 (1952), 602-609.

### Some Relations among the Blocks of Symmetrical Group Divisible Designs

#### Abstract

It is well known that if every pair of treatments in a symmetrical balanced incomplete block design occurs in $\lambda$ blocks, then every two blocks of the design have $\lambda$ treatments in common. In this paper it will be shown that a somewhat similar property holds for symmetrical group divisible designs. In the course of the investigation there will be introduced certain matrices which are of intrinsic interest.

#### Article information

**Source**

Ann. Math. Statist., Volume 23, Number 4 (1952), 602-609.

**Dates**

First available in Project Euclid: 28 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177729339

**Digital Object Identifier**

doi:10.1214/aoms/1177729339

**Mathematical Reviews number (MathSciNet)**

MR51205

**Zentralblatt MATH identifier**

0049.09904

**JSTOR**

links.jstor.org

#### Citation

Connor, W. S. Some Relations among the Blocks of Symmetrical Group Divisible Designs. Ann. Math. Statist. 23 (1952), no. 4, 602--609. doi:10.1214/aoms/1177729339. https://projecteuclid.org/euclid.aoms/1177729339