The Annals of Mathematical Statistics

Cubic Designs

D. Raghavarao and K. Chandrasekhararao

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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


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