Abstract

Abstract A class of orthogonal main-effect plans for 2 m q k · q 2 m q k ( m ≤2 k and q a prime power) experiments is constructed by using generalized Hadamard matrices. Other useful orthogonal main-effect plans for asymmetrical factorial experiments can be constructed by collapsing the 2 m q k -level factor. All the plans constructed are saturated and provide orthogonal estimates of the mean and all main effects when all interactions are assumed to be zero.

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