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A remark on the construction of designs for two-way elimination of heterogeneity

Published online by Cambridge University Press:  17 April 2009

Leon S. Sterling  and
Nicholas Wormald
Leon S. Sterling
Affiliation:
Department of Mathematics, Institute of Advanced Studies, Australian National University, Canberra, ACT.
Nicholas Wormald
Affiliation:
Department of Mathematics, University of Newcastle, Newcastle, New South Wales.
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Abstract

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A method of construction of designs with parameters v1 = r2 = p2, r1 = v2 = p + 1, b = p(p+1), k = p which may be used for the two-way elimination of heterogeneity is discussed. These designs were first studied in connection with estimating tobacco mosaic virus. Our designs have the advantage that every treatment occurs at most once in a row or column. We give the designs explicitly for p = 3, 4, 5.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 14 , Issue 3 , June 1976 , pp. 383 - 388
Copyright
Copyright © Australian Mathematical Society 1976

References

[1]Agrawal, Hiralal, “Some methods of construction of designs for two-way elimination of heterogeneity. I”, J. Amer. Statist. Assoc. 61 (1966), 1153–1171.Google Scholar
[2]Hall, Marshall Jr., Combinatorial theory (Blaisdell [Ginn and Co.], Waltham, Massachusetts; Toronto, Ontario; London; 1967).Google Scholar
[3]Preece, D.A., “Non-orthogonal Graeco-Latin designs”, Combinatorial mathematics IV (Proc. Fourth Austral. Conf., to appear).Google Scholar
[4]Youden, W.J., “Use of incomplete block replications in estimating tobacco mosaic virus”, Contributions from Boyce Thompson Institute 9 (1937), 41–44.Google Scholar