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Some Series Of Partially 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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1. Introduction. The use of incomplete block designs for estimating and judging the significance of the difference of treatment effects is now a standard statistical technique. A special kind of incomplete block design is the Partially Balanced Incomplete Block Design (PBIBD) introduced in (3).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 7 , 1955 , pp. 369 - 381
Copyright
Copyright © Canadian Mathematical Society 1955

References

1. Bose, R. C., Clatworthy, W. H., and Shrikhande, S. S., Tables of partially balanced designs with two associate classes (University of North Carolina, 1954).Google Scholar
2. Bose, R. C. and Connor, W. S., Combinatorial properties of group divisible incomplete block designs, Ann. Math. Statist., 23 (1952), 367–387.Google Scholar
3. Bose, R. C. and Nair, K. R., Partially balanced incomplete block designs, Sankhya, 4 (1938), 337–372.Google Scholar
4. Bose, R. C. and Shimamoto, T., Classification and analysis of partially balanced designs with two associate classes, J. Amer. Statist. Assoc, 47 (1952), 151–184.Google Scholar
5. Bose, R. C., Shrikhande, S. S., and Bhattacharya, K., On the construction of group divisible incomplete block designs, Ann. Math. Statist., 24 (1953), 161–195.Google Scholar
6. Sprott, D. A., A note on balanced incomplete block designs, Can. J. Math., 6 (1954), 341–346.Google Scholar