论文信息 - Supersaturated experimental designs: new approaches to building and using it: Part II. Solving supersaturated designs by genetic algorithms

Supersaturated experimental designs: new approaches to building and using it: Part II. Solving supersaturated designs by genetic algorithms

Abstract A new procedure for the resolution of supersaturated matrices is presented. This procedure is based on genetic algorithm-driven regression, using an efficient system of genetic operators' competence. Genetic regression is compared with stepwise regression and all-subsets regression that has been proposed to solve this type of matrices. Presented results show that this new genetic-driven procedure outperforms both stepwise and all-subsets regression procedures. The proposed method shows satisfactory efficiency and robustness for data even in the presence of gross accidental errors. All studies were conducted by a dedicated toolkit that is briefly described.

[1] Alan J. Miller,et al. Subset Selection in Regression , 1991 .

[2] Boxin Tang,et al. A method for constructing supersaturated designs and its Es2 optimality , 1997 .

[3] Gary S. Wasserman,et al. Genetic subsets regression , 1996 .

[4] Dennis K. J. Lin,et al. A new class of supersaturated designs , 1993 .

[5] R. Daniel Meyer,et al. An Analysis for Unreplicated Fractional Factorials , 1986 .

[6] H. Chipman,et al. Some risks in the construction and analysis of supersaturated designs , 1999 .

[7] Changbao Wu,et al. Construction of supersaturated designs through partially aliased interactions , 1993 .

[8] Dennis K. J. Lin. Generating Systematic Supersaturated Designs , 1995 .

[9] Lawrence. Davis,et al. Handbook Of Genetic Algorithms , 1990 .

[10] H. Chipman,et al. A Bayesian variable-selection approach for analyzing designed experiments with complex aliasing , 1997 .

[11] Rafael Cela,et al. Supersaturated experimental designs. New approaches to building and using it , 2000 .

[12] William Li,et al. Columnwise-pairwise algorithms with applications to the construction of supersaturated designs , 1997 .

[13] J. S. Hunter,et al. Statistics for experimenters : an introduction to design, data analysis, and model building , 1979 .