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Study on the Optimality of 2-level Resolution V Minimal Fractional Factorial Designs  

Kim Sang Ik (건국대학교 상경대학 응용통계학과)
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Abstract
In this paper, we study the optimality of 2-level resolution V minimal fractional factorial designs which can be constructed by using a partially balanced array. Moreover the relative efficiencies of such designs are compared in the sense of three optimality criteria such as determinant(D)-optimality, trace(A)-optimality, and eigenvalue(E) -optimality criterion.
Keywords
Resolution V design; Partially balanced array; Optimality;
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1 Bose, R.C., and Srivastava, J.N.(1964), 'Analysis of Irregular Factorial Fractions', Sankhya, Ser.A., Vol. 26, 117-144
2 Daniel, C.(1959), 'Use of Half-Normal Plots in Interpreting Factorial Two- Level Experiments', Technometrics, Vol.17, 210-221
3 Finney, D.J.(1945). 'The Fractional Replication of Factorial Arrangements', Annals of Eugenics, Vol. 12, 291-301
4 Rao,C.R.(1947), 'Factorial Experiments Derivable from Combinatorial Arrangements of Arrays', Journal of Royal Statistical Society, Ser.B. Vol. 9, 128-140
5 Srivastava, J.N., and Chopra, D.V. (1971). 'On the Characteristic Roots of the Information Matrix of Balanced Factorial Designs of Resolution Ⅴ, with Applications', Annals of Mathematical Statistics, Vol. 42, 722-734   DOI   ScienceOn
6 Raktoe, B.L.,Hedayat, A., and Federer, W.T.(1981). Factorial Designs, Wiley, New York
7 Kim, S. I.(1992), 'Minimal Balanced Fractional Factorial Designs of Resolution Ⅴ and Taguchi Method', The Korean Journal of Applied Statistics, Vol. 5, 19-28
8 Chakravartie, I.M.(1956), 'Fractional Replications in Asymmetrical Factorial Designs and Partially Balanced Arrays', Sankhya, Vol. 17, 143-164
9 Srivastava, J.N.(1965). 'Optimal Balanced Fractional Factorial Designs', S.N. Roy Memorial Volume, Univ. of North Carolina and Indian Statistical Institute
10 Kiefer, J.(1959, 'Optimum Experimental Designs', Journal of Royal Statistical Society, Ser.B., Vol. 21, 272-304
11 Box,G.E.P., and Hunter, J.S. (1961), 'The $2^{k-p}$ Fractional Factorial Design I', Technometrics, Vol. 3, 311-351   DOI   ScienceOn