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

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  • Masahide Kuwada
  • Yoshifumi Hyodo
  • Hiromu Yumiba

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.

Suggested Citation

  • Masahide Kuwada & Yoshifumi Hyodo & Hiromu Yumiba, 2017. "Existence conditions for balanced fractional 3m factorial designs of resolution R({00, 10, 01, 20, 11})," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(2), pages 942-966, January.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:2:p:942-966
    DOI: 10.1080/03610926.2015.1010004
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