论文信息 - Optimal Blocking Schemes for 2n and 2n—p Designs

Optimal Blocking Schemes for 2n and 2n—p Designs

Systematic sources of variations in factorial experiments can be effectively reduced without biasing the estimates of the treatment effects by grouping the runs into blocks. For full factorial designs, optimal blocking schemes are obtained by applying the minimum aberration criterion to the block defining contrast subgroup. A related concept of order of estimability is proposed. For fractional factorial designs, because of the intrinsic difference between treatment factors and block variables, the minimum aberration approach has to be modified. A concept of admissible blocking schemes is proposed for selecting block designs based on multiple criteria. The resulting 2 n and 2 n–P designs are shown to have better overall properties for practical experiments than those in the literature.

Don X. Sun | C. F. J. Wu | Youyi Chen | C. F. Jeff Wu | Youyi Chen

[1] Boxin Tang,et al. Characterization of minimum aberration $2\sp {n-k}$ designs in terms of their complementary designs , 1996 .

[2] Jiahua Chen,et al. Some Results on $2^{n - k}$ Fractional Factorial Designs and Search for Minimum Aberration Designs , 1992 .

[3] Søren Bisgaard,et al. Blocking Generators for Small 2k-p Designs , 1994 .

[4] Jiahua Chen,et al. Some Results on $s^{n-k}$ Fractional Factorial Designs with Minimum Aberration or Optimal Moments , 1991 .

[5] Changbao Wu,et al. A graph-aided method for planning two-level experiments when certain interactions are important , 1992 .

[6] W. G. Hunter,et al. Minimum Aberration 2 k–p Designs , 1980 .

[7] W. G. Hunter,et al. Minimum Aberration 2k-p Designs , 1980 .

[8] Jiahua Chen,et al. A catalogue of two-level and three-level fractional factorial designs with small runs , 1993 .

[9] Ssren Bisgaard,et al. A Note on the Definition of Resolution for Blocked 2 k–p Designs , 1994 .