Abstract

In this paper we consider experimental situations where a complete or fractional factorial experiment having all factors at 2 levels is to be conducted using a 2 m × 2 n row-column design and where there may be an unknown trend effect that can be expressed as a polynomial function of the position in which observations are obtained in the row-column design. Methods are given for allocating the treatments from a complete or fractional 2-level factorial experiment to rows and columns so that the resulting design yields estimates for main effects that have a high level of resistance against trend effects.

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