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

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  • Ai, Mingyao
  • Zhang, Runchu

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.

Suggested Citation

  • Ai, Mingyao & Zhang, Runchu, 2004. "sn-m Designs containing clear main effects or clear two-factor interactions," Statistics & Probability Letters, Elsevier, vol. 69(2), pages 151-160, August.
  • Handle: RePEc:eee:stapro:v:69:y:2004:i:2:p:151-160
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    Cited by:

    1. Ai, Mingyao & Hickernell, Fred J. & Lin, Dennis K.J., 2008. "Optimal foldover plans for regular s-level fractional factorial designs," Statistics & Probability Letters, Elsevier, vol. 78(7), pages 896-903, May.
    2. Ai, Mingyao & He, Shuyuan, 2006. "An efficient method for identifying clear effects in blocked fractional factorial designs," Statistics & Probability Letters, Elsevier, vol. 76(17), pages 1889-1894, November.
    3. Chen, Xue-Ping & Lin, Jin-Guan & Wang, Hong-Xia & Huang, Xing-Fang, 2017. "Designs containing partially clear main effects," Statistics & Probability Letters, Elsevier, vol. 121(C), pages 12-17.

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