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2-수준계 Resolution V 최소 부분실험법의 최적성에 관한 연구

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

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참고문헌

주제분류학제간연구

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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.

참고문헌 (9)

  1. "Analysis of Irregular Factorial Fractions", ser.a.(26), pp.117~144 (1964)
  2. "Fractional Replications in Asymmetrical Factorial Designs and Partially Balanced Arrays", 17, pp.143~164 (1956)
  3. "Use of Half-Normal Plots in Interpreting Factorial Two- Level Experiments", 17, pp.210~221 (1959)
  4. "The Fractional Replication of Factorial Arrangements", 12, pp.291~301 (1945)
  5. "Journal of Royal Statistical Society", 21, pp.272~304 (1959)
  6. "Minimal Balanced Fractional Factorial Designs of Resolution Ⅴ and Taguchi Method", 5, pp.19~28 (1992)
  7. "Factorial Experiments Derivable from Combinatorial Arrangements of Arrays", 9, pp.128~140 (1947)
  8. "Optimal Balanced Fractional Factorial Designs" (1965)
  9. "On the Characteristic Roots of the Information Matrix of Balanced Factorial Designs of Resolution Ⅴ Annals of Mathematical Statistics", 42, pp.722~734 (1971)

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