Open Access
April, 1968 Association Matrices and the Kronecker Product of Designs
P. U. Surendran
Ann. Math. Statist. 39(2): 676-680 (April, 1968). DOI: 10.1214/aoms/1177698427


Vartak [4] has shown by enumeration that the Knoecker product of two PBIB designs with $s$ and $t$ associate classes is again a PBIB with at most $s + t + st$ associated classes. In this paper the same result is established more easily with the help of association matrices. In addition to this, it is shown that the association matrices of a PBIB which is the Kronecker product of two known designs, are the Kronecker product of those of the original designs and that the "augmented matrices of the parameters of the second kind" of the resulting design are the Kronecker product of the corresponding matrices of the given designs.


Download Citation

P. U. Surendran. "Association Matrices and the Kronecker Product of Designs." Ann. Math. Statist. 39 (2) 676 - 680, April, 1968.


Published: April, 1968
First available in Project Euclid: 27 April 2007

zbMATH: 0159.48303
MathSciNet: MR239702
Digital Object Identifier: 10.1214/aoms/1177698427

Rights: Copyright © 1968 Institute of Mathematical Statistics

Vol.39 • No. 2 • April, 1968
Back to Top