## The Annals of Mathematical Statistics

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

W. S. Connor

#### 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

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