Mixed-level designs with multi block variables containing clear two-factor interaction components

Qian-Qian Zhao and Sheng-Li Zhao

Communications in Statistics - Theory and Methods, 2019, vol. 48, issue 13, 3402-3412

Abstract: This paper studies mixed-level designs with multi block variables, denoted by (2r)×2n:2l . Some necessary and sufficient conditions on the existence of clear treatment two-factor interaction components (2fic’s) in (2r)×2n:2l designs with resolution III, IV − and IV are obtained. We also discuss how to find (2r)×2n:2l designs with the maximum number of clear 2fic’s with resolution at least III, and tabulate some 32-run 4×2n:2l designs containing the maximum number of clear 2fic’s in the appendix.

Date: 2019
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DOI: 10.1080/03610926.2018.1476715

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