Construction of some s-level regular designs with general minimum lower-order confounding

Zhiming Li, Qingxun Kong and Mingyao Ai

Statistics & Probability Letters, 2020, vol. 167, issue C

Abstract: Based on an aliased component-number pattern (ACNP), a general minimum lower-order confounding (GMC) criterion has been proposed to choose the optimal regular designs, which minimize the confounding among lower-order effects. This paper is ready to study the properties of GMC s-level designs in terms of complementary sets. It is proved that an sn−m design has GMC only if its complementary set is contained in a flat. Then some GMC sn−m designs are constructed when n=(N−sr)∕(s−1)+t and 0≤t≤(sr−sr−1)∕(s−1), where N=sn−m and rKeywords: Aliased component-number pattern; Component effect hierarchy principle; GMC criterion; Regular designs (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1016/j.spl.2020.108897

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