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Projection justification of generalized minimum aberration for asymmetrical fractional factorial designs

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  • Ming-Yao Ai
  • Run-Chu Zhang

Abstract

Recently, Xu and Wu (2001) presented generalized minimum aberration criterion for comparing and selecting general fractional factorial designs. This criterion is defined using a set of χ u (D) values, called J-characteristics by us. In this paper, we find a set of linear equations that relate the set of design points to that of J-characteristics, which implies that a factorial design is uniquely determined by its J-characteristics once the orthonormal contrasts are designated. Thereto, a projection justification of generalized minimum aberration is established. All of these conclusions generalize the results for two-level symmetrical factorial designs in Tang (2001). Copyright Springer-Verlag 2004

Suggested Citation

  • Ming-Yao Ai & Run-Chu Zhang, 2004. "Projection justification of generalized minimum aberration for asymmetrical fractional factorial designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 60(3), pages 279-285, November.
    • Handle: RePEc:spr:metrik:v:60:y:2004:i:3:p:279-285
    DOI: 10.1007/s001840300310
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    Cited by:

    1. Hong Qin & Mingyao Ai, 2007. "A note on the connection between uniformity and generalized minimum aberration," Statistical Papers, Springer, vol. 48(3), pages 491-502, September.

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