## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 29, Number 3 (1958), 919-922.

### A Note on P.B.I.B. Design Matrices

#### Abstract

The notation P.B.I.B. $(m)$ will mean partially balanced incomplete block design with $m$ associative classes. It is found that the $C$ matrix of a P.B.I.B $(m)$ may be expressed as a linear function of $m + 1$ commutative and linearly independent matrices. The author feels that this decomposition may be of interest to those studying the properties of P.B.I.B. designs.

#### Article information

**Source**

Ann. Math. Statist., Volume 29, Number 3 (1958), 919-922.

**Dates**

First available in Project Euclid: 27 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177706552

**Digital Object Identifier**

doi:10.1214/aoms/1177706552

**Mathematical Reviews number (MathSciNet)**

MR95560

**Zentralblatt MATH identifier**

0088.11902

**JSTOR**

links.jstor.org

#### Citation

Thompson, W. A. A Note on P.B.I.B. Design Matrices. Ann. Math. Statist. 29 (1958), no. 3, 919--922. doi:10.1214/aoms/1177706552. https://projecteuclid.org/euclid.aoms/1177706552