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Biometrika 1985 72(2):391-402; doi:10.1093/biomet/72.2.391
© 1985 by Biometrika Trust
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Balanced factorial designs with two-way elimination of heterogeneity

CHUNG-YI SUEN and I. M. CHAKRAVARTI

Department of Mathematics, Cleveland State University Cleveland, Ohio 44115, U.S.A.
Department of Statistics, University of North Carolina Chapel Hill, North Carolina 27514, U.S.A.

Balanced factorial designs which permit two-way elimination of heterogeneity are defined, and the combinatorial conditions for such designs are derived. Methods of constructing two-way balanced factorial designs are given. In particular, for 5 a prime power and ≥ 3, a method is given to construct an sxs balanced factorial design with s(s-1) columns and s(s-1) rows such that none of the main effects is confounded with either row effects or column effects.

Key Words: Balanced array • Balanced factorial design • Extended group divisible association scheme • Row-column design


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