$3^{n-p}$ Fractional Factorial Desig Excluded A Debarred Combination

실험불가능한 처리조합이 배제되는 $3^{n-p}$ 일부실시법

  • Published : 1998.09.01

Abstract

In a factorial experiment, certain combinations of factor levels clay not be ruled out for operational or economical reason. A fractional factorial design that contains such infeasible combinations, called debarred combinations, becomes too unbalanced to estimate the required effects. This thesis presents a method of selecting defining contrasts for constructing regular $3^{n-p}$ fractional factorial design which does not contain a debarred combination. Consequently, the construction of the design is accomplished by choosing the defining contrasts so that one of defining contrasts is compatible with a debarred combination.

요인실험에서 어떤 처리조합은 조작상 또는 경제적인 이유로 실험할 수 없는 경우가 있다. 이러한 실험불가능한 처리조합을 포함하고 있는 일부실시법은 불균형적인 처리조합을 구성하게 되어 어떤 요인효과에 대해 추론할 수 없게 된다. 본 논문은 실험불가능한 처리조합을 포함하지 않는 3$^{n-p}$ 일부실시법을 실행하기 위한 정의 대비의 선택 방법을 논한다한다

Keywords

References

  1. 현대실험계획법 박성현
  2. Technometrics v.35 Constructing Orthogonal Fractional Factorial Designs When Some Factor-Level Combinations Are Debarred Cheng, C. S.;Li, C. C.
  3. Applied Statistics v.26 Selection of Defining Contrasts and Confounded Effects in Two-level Experiments Franklin, M. F.;Bailey, R. A.
  4. Applied Statistics v.25 Selection of Defining Contrasts in Two-level Experiments Greenfield, A. A.