Existence conditions for balanced fractional 3m factorial designs of resolution R({00, 10, 01, 20, 11})

Masahide Kuwada, Yoshifumi Hyodo and Hiromu Yumiba

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 2, 942-966

Abstract: We consider a fractional 3m factorial design derived from a simple array (SA) such that the non negligible factorial effects are the general mean, the linear and the quadratic components of the main effect, and the linear-by-linear and the linear-by-quadratic components of the two-factor interaction. If these effects are estimable, then a design is said to be of resolution R({00, 10, 01, 20, 11}). In this paper, we give a necessary and sufficient condition for an SA to be a balanced fractional 3m factorial design of resolution R({00, 10, 01, 20, 11}). Such a design is concretely characterized by the suffixes of the indices of an SA.

Date: 2017
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DOI: 10.1080/03610926.2015.1010004

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