Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-03T07:23:26.338Z Has data issue: false hasContentIssue false

Balanced Incomplete Block Designs

Published online by Cambridge University Press:  18 August 2016

Extract

In my earlier paper I expressed disappointment at failure to find b.i.b.d.s for the case ν= 4p, k = 4, b = ½ν(ν−1), λ = 6 (p is an odd prime). The failure was not complete because I had given a solution for ν = p + 1, k = 4, λ = 6 which covered the cases of ν = 4p where ν−1 was also a prime. In what follows I shall complete my earlier note and also give simple formulae for ν = p + 1, k = 4, λ = 3.

Type
Research Article
Copyright
Copyright © Institute and Faculty of Actuaries 1970

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

(1) Joseph, A. W. Balanced incomplete block designs used in the method of simulation. J.I.A. 1969, 95, 323.Google Scholar
(2) Vajda, S. The Mathematics of Experimental Design: Incomplete Block Designs and Latin Squares. Charles Griffin Co. Google Scholar
(3) Hanani, Haim. The existence and construction of balanced incomplete block designs, Ann. Math. Statist. 1961, 32, 361.Google Scholar
(4) Bose, R. C. On some new series of balanced incomplete block designs. Bull. Calcutta Math. Soc. 1942, 34, 17.Google Scholar