Interaction graphs for a two-level combined array experiment design

Abstract

In planning a 2 k-p fractional factorial experiment, prior knowledge may enable an experimenter to pinpoint interactions which should be estimated free of the main effects and any other desired interactions. Taguchi (1987) gave a graph-aided method known as linear graphs associated with orthogonal arrays to facilitate the planning of such experiments. Since then the graph-aided method has been enhanced by various authors such as Li et al (1991), Wu and Chen (1992), Robinson (1993), and Wu and Hamada (2000). In this paper, we propose an algorithm for developing all possible non-isomorphic interaction graphs for combined arrays.

Publication Title

Journal of Industrial Technology

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