Allocating factors to the columns of an orthogonal array when certain interactions are important

Das, Ashish; Dey, A.; Midha, Chand K.

doi:10.1016/j.spl.2006.03.020

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2013

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“…Franklin and Bailey (1977) tackled this problem from an algorithm point of view. The line of research was further investigated by Dey and Suen (2002), Ke and Tang (2003), Das et al (2006), and Wang (2007).…”

Section: Introductionmentioning

confidence: 99%

Two-level Orthogonal and Saturated Designs for Estimating Main Effects and Certain Important Interactions

Wang

Liu

Liao

2013

Communications in Statistics - Theory and Methods

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In a two-level factorial experiment, we consider orthogonal designs that allow joint estimation of the grand mean, all main effects, and certain classes of twolevel interactions, assuming that the remaining effects are all negligible. Based on a judicious allocation of the factorial effects of interest to the columns of a Hadamard matrix, we propose some general classes of orthogonal and saturated designs which include some existing orthogonal main-effect plans of asymmetric factorials as special cases.

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