## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 36, Number 6 (1965), 1807-1814.

### On a Class of Partially Balanced Incomplete Block Designs

#### Abstract

The purpose of this note is to show that the existence of any one of a particular family of four partially balanced incomplete block designs (pbibd) implies the existence of the remaining three designs. A sufficient condition for the existence of this family is given and a nonexistence result is also obtained.

#### Article information

**Source**

Ann. Math. Statist. Volume 36, Number 6 (1965), 1807-1814.

**Dates**

First available in Project Euclid: 27 April 2007

**Permanent link to this document**

http://projecteuclid.org/euclid.aoms/1177699810

**Digital Object Identifier**

doi:10.1214/aoms/1177699810

**Mathematical Reviews number (MathSciNet)**

MR191059

**Zentralblatt MATH identifier**

0137.13105

**JSTOR**

links.jstor.org

#### Citation

Shrikhande, S. S. On a Class of Partially Balanced Incomplete Block Designs. Ann. Math. Statist. 36 (1965), no. 6, 1807--1814. doi:10.1214/aoms/1177699810. http://projecteuclid.org/euclid.aoms/1177699810.