Abstract
This paper deals with row-column designs in which the row-column incidence patterns are not necessarily orthogonal. A set of sufficient conditions are obtained for universally optimal designs (for compar- ing treatment effects) to exist in the usual fixed effects 3-factor additive model. It is shown that if these conditions on the row-column incidence pattern are satisfied, a design can always be constructed. Some methods of construction are given for specific row-column incidence patterns. Various other related issues are also discussed.
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