## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 37, Number 4 (1966), 1048-1052.

### Duals of Partially Balanced Incomplete Block Designs and some Nonexistence Theorems

#### Abstract

In this note, we give simpler proofs of results obtained, regarding the necessary conditions for existence of certain unsymmetrical PBIB designs having group divisible, triangular and $L_i$ association schemes, in [5]. We also give simpler proofs of the necessary conditions for the existence of affine $\alpha$-resolvable $GD(m, n), T(n), L_i(s)$ and BIB designs obtained in [6]. We follow the notation of these two papers throughout this note. We finally obtain necessary conditions for the dual of a design $D$, to be a specified design $E$.

#### Article information

**Source**

Ann. Math. Statist. Volume 37, Number 4 (1966), 1048-1052.

**Dates**

First available: 27 April 2007

**Permanent link to this document**

http://projecteuclid.org/euclid.aoms/1177699387

**JSTOR**

links.jstor.org

**Digital Object Identifier**

doi:10.1214/aoms/1177699387

**Mathematical Reviews number (MathSciNet)**

MR196873

**Zentralblatt MATH identifier**

0147.38101

#### Citation

Raghavarao, Damaraju. Duals of Partially Balanced Incomplete Block Designs and some Nonexistence Theorems. The Annals of Mathematical Statistics 37 (1966), no. 4, 1048--1052. doi:10.1214/aoms/1177699387. http://projecteuclid.org/euclid.aoms/1177699387.