Existence Conditions for Balanced Fractional 2m Factorial Designs of Resolution 2l + 1 Derived from Simple Arrays

Y. Hyodo, H. Yumiba and M. Kuwada

Communications in Statistics - Theory and Methods, 2015, vol. 44, issue 12, 2564-2570

Abstract: We consider a fractional 2m factorial design derived from a simple array (SA) such that the (ℓ + 1)-factor and higher-order interactions are negligible, where 2ℓ ⩽ m. The purpose of this article is to give a necessary and sufficient condition for an SA to be a balanced fractional 2m factorial design of resolution 2ℓ + 1. Such a design is concretely characterized by the suffixes of the indices of an SA.

Date: 2015
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DOI: 10.1080/03610926.2013.788716

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