## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 35, Number 1 (1964), 389-397.

### Cubic Designs

D. Raghavarao and K. Chandrasekhararao

#### Abstract

Investigations in the Partially Balanced Incomplete Block (PBIB) designs having three or more associate classes have been limited to the works of Vartak [14], Raghavarao [7], Roy [9], Singh and Shukla [12] and Tharthare [13]. In this article we study the combinatorial properties, construction and non-existence of the cubic designs exhibiting a three associate class association scheme. The method of construction, discussed in this article, gives a new way of arranging a $p^3$ factorial experiment in blocks of sizes different from $p$ and $p^2$.

#### Article information

**Source**

Ann. Math. Statist., Volume 35, Number 1 (1964), 389-397.

**Dates**

First available in Project Euclid: 27 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177703762

**Digital Object Identifier**

doi:10.1214/aoms/1177703762

**Mathematical Reviews number (MathSciNet)**

MR158494

**Zentralblatt MATH identifier**

0123.36603

**JSTOR**

links.jstor.org

#### Citation

Raghavarao, D.; Chandrasekhararao, K. Cubic Designs. Ann. Math. Statist. 35 (1964), no. 1, 389--397. doi:10.1214/aoms/1177703762. https://projecteuclid.org/euclid.aoms/1177703762