The theory of fractional replication in factorial experiments

Radhakrishna Rao, C. (1950) The theory of fractional replication in factorial experiments Sankhya, 10 (1-2). pp. 81-86. ISSN 0972-7671

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Abstract

When the number of factors in an experiment is large an experiment involving all combinations would be unwieldy. If, however, some higher order interactions are absent the lower order interactions and main effects can be investigated by using a subset of the treatment combinations. The author uses devices introduced by him (cf. Plant Breeding Abstracts, Vol. XVIII, Abst. 603) to develop a method of construction of such designs when all the factors are at the same number, s, of levels and s is a prime or a prime power.

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