- 요인실험의 일부실시에서의 회귀분석
- Regression Analysis in Fractional Factorial Experiment Designs with $2^n$ Orthogonal Arrays
- ㆍ 저자명
- 노재영,이상나,이경민
- ㆍ 간행물명
- 한국연초학회지
- ㆍ 권/호정보
- 1983년|5권 1호|pp.49-56 (8 pages)
- ㆍ 발행정보
- 한국연초학회
- ㆍ 파일정보
- 정기간행물| PDF텍스트
- ㆍ 주제분야
- 기타
The formulas of easy methods on calculating total effects for regression analysis by effects induced from fractional factorial experiment designs at three or four level factors in case of quantitative and equally spaced levels with 2n series of orthogonal arrays are as follows. All of the symbols are indicate the total effects of factors. 1. 2nX4 design(A : 4 level factor, C : 2 level factor) A1=- (2A1+A2) AlXCl=2A1C+A2C Aq=A3 AqXCl=-A3C Ac=A1-2A2 AcXCl=(-A1C-2A2C) 2. 2nX4m design(A, B : 4 level factors) AlXBl=4A1B1+2A1B2+SA2B1+A2B2 AcXBq=A1B3-2A2B3 AqXBl=-(2A3B1+A3B2) AlXBc=-2A1B1+4A1B2-A2B1+2A2B2 AcXBl=-2A1B1-A1B2+3A2B1+2A2B2 AqXBc=A3B1-2A3B2 AqXBq-A3B3 AcXBc=A1B1-2A1B2-2A2B1+4A2B2 3. 2nX3m design (A, B : 3 level factors, C : 2 level factor) Al=-1/2(A1+A2) AlXBl=1/4(A1B1+A1B2+A2B1+A2B2) Aq=A3 AqXBl-1/2(A3B1+A3B2) AlXCl=1/2(A1C+A2C) AlXBq=-1/2(A1B3+A2B3) AqXCl=-A3C AqXBQ=A3B3 4. 2nX4X3 design(A : 4 level factor, B : 3 level factor) AlXBl=1/2(2A1B1+2A1B2+A2B1+A2B2) AlXBq=-(2A1B3+A2B3) AqXBl=-1/2(A3B1+A3B2) AqXBq=A3B3 AcXBl=-1/2(A1B1+A1B2-2A2B1-2A2B2) AcXBq=A1B3-2A2B3