Open Access
March, 1964 Cubic Designs
D. Raghavarao, K. Chandrasekhararao
Ann. Math. Statist. 35(1): 389-397 (March, 1964). DOI: 10.1214/aoms/1177703762


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 $p^2$.


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D. Raghavarao. K. Chandrasekhararao. "Cubic Designs." Ann. Math. Statist. 35 (1) 389 - 397, March, 1964.


Published: March, 1964
First available in Project Euclid: 27 April 2007

zbMATH: 0123.36603
MathSciNet: MR158494
Digital Object Identifier: 10.1214/aoms/1177703762

Rights: Copyright © 1964 Institute of Mathematical Statistics

Vol.35 • No. 1 • March, 1964
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