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A Note on Balanced Incomplete Block Designs

Published online by Cambridge University Press:  20 November 2018

D. A. Sprott
D. A. Sprott*
Affiliation:
University of Toronto
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A balanced incomplete block design is defined as an arrangement of v objects in b blocks, each block containing k objects all different, so that there are r blocks containing a given object and λ blocks containing any two given objects. Such designs have been studied for their combinatorial interest, as in (3), and also for their application to statistics, where the objects are usually varieties.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 6 , 1954 , pp. 341 - 346
Copyright
Copyright © Canadian Mathematical Society 1954

References

1. Bose, R. C., On the construction of balanced incomplete block designs, Ann. Eugenics 9 (1939), 353–399.Google Scholar
2. Bose, R. C., On some new series of balanced incomplete block designs, Bull. Calcutta Math. Soc. 34 (1942), 17–31.Google Scholar
3. Chowla, S. and Ryser, H. J., Combinatorial problems, Can. J. Math. 2 (1950), 93–99.Google Scholar