3-수준계 Foldover Resolution Ⅳ 부분실험법의 통계적 구조 및 추가분석방법에 관한 연구
A Study on the Statistical Structure and Additional Analysis of the 3-level Foldover Resolution Ⅳ Fractional Factorial Designs
1
조회
0
다운로드
1
인용
0
참고문헌
키워드
초록
For the fractional factorial designs, the resolution-Ⅳ designs can be used when we want to estimate the main effects and to investigate the structure of the non-negligible two-factor interaction effects, when the three-factor and higher order interaction effects are all negligible. However we need to add the additional treatment combinations in order to identify the influential interactions for the resolution-Ⅳ fractional factorial designs. In this paper we investigate the statistical structure for 3-level resolution-Ⅳ designs constructed by fold-over scheme and introduce a method for analyzing the influential two-factor interactions
Abstract
For the fractional factorial designs, the resolution-Ⅳ designs can be used when we want to estimate the main effects and to investigate the structure of the non-negligible two-factor interaction effects, when the three-factor and higher order interaction effects are all negligible. However we need to add the additional treatment combinations in order to identify the influential interactions for the resolution-Ⅳ fractional factorial designs. In this paper we investigate the statistical structure for 3-level resolution-Ⅳ designs constructed by fold-over scheme and introduce a method for analyzing the influential two-factor interactions
참고문헌 (11)
- Anderson,D.A, "Near Minimal Resolution Ⅳ Designs for the sn Factorial Experiment", Technometrics, 21, pp.331~336 (1979)
- Anderson,D.A, "Weakly Resolvable Ⅳ.3 Search Designs for the pn Factorial Experiment", Journal of Statistical Planning and Inference, 4, pp.299~312 (1980)
- Box,G.E.P, "The 2k-p Fractional Factorial Designs I", Technometrics, 3, pp.311~351 (1961)
- Box,G.E.P, "On the Experimental Attainment of Optimum Conditions", Journal of Royal Statistical Society, Ser. B, 13, pp.1~45 (1951)
- John,P.W.M, "Three-quarter Replicate of 2n Designs", Biometrics, 18, pp.172~184 (1962)
- Kim,S.I, "Testing on the Existence of Interaction Effects in 3t Resolution Ⅳ Factorial Experiments", Journal of the Korean Society for Quality Management, 28, pp.59~68 (2000)
- Margolin,B,H, "Resolution Ⅳ Fractional Factorial Designs", Journal of Royal Statistical Society, Ser. B, 31, pp.514~523 (1969)
- Montgomery,D.C, "Fold overs of 2k-p Resolution Ⅳ Experimental Designs", Journal of Quality Technology, 28, pp.446~450 (1996)
- Raghavarao,D, "Construction and Combinatorial Problems in Design of Experiments" (1971), Wiley
- Searle,S.R, "Linear Models" (1971), Wiley
- Webb,S.R, "Non-orthogonal Designs of Even Resolution", Technometrics, 10, pp.291~300 (1968)
