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


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  • Ai, Mingyao
  • Zhang, Runchu
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    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.

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    Bibliographic Info

    Article provided by Elsevier in its journal Statistics & Probability Letters.

    Volume (Year): 69 (2004)
    Issue (Month): 2 (August)
    Pages: 151-160

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    Handle: RePEc:eee:stapro:v:69:y:2004:i:2:p:151-160

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    Keywords: Clear Fractional factorial design Minimum aberration Regular Resolution;


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    Cited by:
    1. 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.


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