Open Access
June, 1953 On the Construction of Group Divisible Incomplete Block Designs
R. C. Bose, S. S. Shrikhande, K. N. Bhattacharya
Ann. Math. Statist. 24(2): 167-195 (June, 1953). DOI: 10.1214/aoms/1177729027


It has been shown in [1] that all partially balanced incomplete block (PBIB) designs with two associate classes, can be divided into a small number of types according to the nature of the association relations among the treatments. One simple and important type is the group divisible (GD). The combinatorial properties of GD designs have been studied in [2] and the analysis along with that for other types is given in [1]. Here we give methods of constructing GD designs. These designs are likely to prove useful in agricultural, genetic and industrial experiments.


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R. C. Bose. S. S. Shrikhande. K. N. Bhattacharya. "On the Construction of Group Divisible Incomplete Block Designs." Ann. Math. Statist. 24 (2) 167 - 195, June, 1953.


Published: June, 1953
First available in Project Euclid: 28 April 2007

zbMATH: 0050.14605
MathSciNet: MR55964
Digital Object Identifier: 10.1214/aoms/1177729027

Rights: Copyright © 1953 Institute of Mathematical Statistics

Vol.24 • No. 2 • June, 1953
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