sn-m Designs containing clear main effects or clear two-factor interactions

Mingyao Ai and Runchu Zhang

Statistics & Probability Letters, 2004, vol. 69, issue 2, 151-160

Abstract: For a fixed number of runs, when can designs have clear main effects or clear two-factor interactions (in brief, 2fi's)? This paper gives the maximum value of n in sn-m designs containing clear main effects or clear 2fi's, where s is any prime or prime power. It is a generalization of the related results in Chen and Hedayat (J. Statist. Plann. Inference 75 (1998) 147-158) for two-level designs. It is further concluded that the weak minimum aberration designs have a maximum number of clear main effects for two-level designs. A collection of designs containing most clear main effects or clear 2fi's for 16, 32, 27, and 81 runs is given.

Keywords: Clear; Fractional; factorial; design; Minimum; aberration; Regular; Resolution (search for similar items in EconPapers)
Date: 2004
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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