Abstract
Supersaturated design is a form of fractional factorial design in which the number of columns is greater than the number of experimental runs. Construction methods of supersaturated design have been mainly focused on two levels cases. Much practical experience, however, indicates that two-level may sometimes be inadequate. This paper proposed a construction method of mixed-level supersaturated designs consisting of two-level and three-level columns. The χ2 statistic is used for a measure of dependency of the design columns. The dependency properties for the newly constructed designs are derived and discussed. It is shown that these new designs have low dependencies and thus can be useful for practical uses.
References
Booth KHV, Cox DR (1962) Some systematic supersaturated designs. Technometrics 4:489–495
Cheng CS (1997). E(s2)-optimal supersaturated designs. Statistica Sinica 7:929–939
Deng LY, Lin DKJ, Wang JN (1994) Supersaturated design using Hadamard matrix. IBM Research Report RC19470, IBM Watson Research Center
Deng LY, Lin DKJ, Wang JN (1999) A resolution rank criterion for supersaturated designs. Statistica Sinica 9:605–610
Fang KT, Lin DKJ, Ma CX (2000) On the construction of multi-level supersaturated designs. Journal of Statistical Planning and Inference 86:239–252
Iida T (1994) A construction method of two-level supersaturated design derived from L12. Japanese Journal of Applied Statistics 23:147–153 (in Japanese)
Li WW, Wu CFJ (1997) Columnwise-pairwise algorithms with applications to the construction of supersaturated designs. Technometrics 39:171–179
Lin DKJ (1991) Supersaturated designs. Working paper, University of Tennessee No. 261
Lin DKJ (1993) A new class of supersaturated designs. Technometrics 35:28–31
Lin DKJ (1995) Generating systematic supersaturated designs. Technometrics 37:213–225
Nguyen NK (1996) An algorithm approach to constructing supersaturated designs. Techno-metrics 38:69–73
Satterthwaite FE (1959) Random balance experimentation (with discussion). Technometrics 1:111–137
Tang B, Wu CFJ (1997) A method for constructing supersaturated designs and its E(s2) optimality. Canadian Journal of Statistics 25:191–201
Wu CFJ (1993) Construction of supersaturated designs through partially aliased interactions. Biometrika 80:661–669
Yamada S, Ikebe Y, Hashiguchi H, Niki N (1999) Construction of three-level supersaturated design. Journal of Statistical Planning and Inference 81:183–193
Yamada S, Lin DKJ (1997) Supersaturated designs including an orthogonal base. Canadian Journal of Statistics 25:203–213
Yamada S, Lin DKJ (1999) Three-level supersaturated design. Statistics and Probability Letters 45:31–39
Yamada S, Matsui T (1998) Optimality of mixed-level supersaturated designs. Tech. Rep. University of Tokyo, Dept. Mathematical Engineering and Information Physics, METR 98-05
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Yamada, S., Lin, D.K.J. Construction of mixed-level supersaturated design. Metrika 56, 205–214 (2002). https://doi.org/10.1007/s001840100173
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DOI: https://doi.org/10.1007/s001840100173