• Title/Summary/Keyword: Designs

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Minimum Aberration $3^{n-k}$ Designs

  • Park, Dong-Kwon
    • Journal of the Korean Statistical Society
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    • 제25권2호
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    • pp.277-288
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    • 1996
  • The minimum aberration criterion is commonly used for selecting good fractional factorial designs. In this paper we give same necessary conditions for $3^{n-k}$ fractional factorial designs. We obtain minimum aberration $3^{n-k}$ designs for k = 2 and any n. For k > 2, minimum aberration designs have not found yet. As an alternative, we select a design with minimum aberration among minimum-variance designs.

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초포화계획을 평가하기 위한 그래픽방법 (Graphical Methods for Evaluating Supersaturated Designs)

  • 김영일;장대흥
    • 응용통계연구
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    • 제23권1호
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    • pp.167-178
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    • 2010
  • 직교성은 실험계획에서 중요한 개념이다. 실험계획에서 실험점의 개수보다 인자의 개수가 많은 상황에서 우리는 초포화계획을 사용한다. 이러한 초포화계획은 직교성을 만족하지 못하게 되는 데 얼마나 직교성을 만족하는 지를 평가하는 데 우리는 주로 수치적인 측도들을 사용한다. 우리는 초포화계획의 직교성의 정도를 평가하는 방법으로서 그래픽방법을 사용할 수 있다.

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)

  • 김상익
    • 품질경영학회지
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    • 제38권1호
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    • pp.42-51
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    • 2010
  • 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.

MODIFIED SECOND ORDER SLOPE ROTATABLE DESIGNS USING BIBD

  • Victorbabu B. Re.
    • Journal of the Korean Statistical Society
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    • 제35권2호
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    • pp.179-192
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    • 2006
  • In this paper, a new method of modified second order slope rotatable designs (SOSRD) using balanced incomplete block designs (BIBD) for $4{\le}v{\le}16$ is presented. In this method the number of design points required is in some cases less than the number required in Victorbabu (2305) modified slope rotatable central composite designs. Further, a new method of construction of three level modified SOSRD using BIBD is presented. The modified SOSRD can be viewed as SOSRD constructed with the technique of augmentation of second order rotatable design (SORD) using BIBD to SOSRD. These designs are useful in parts to estimate responses and slopes with spherical variance functions.

부분이면교배에서의 블록계획 (Block Designs for Partial Diallel Crosses)

  • 손영남;최규정
    • 응용통계연구
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    • 제15권2호
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    • pp.367-379
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    • 2002
  • 본 연구에서는 부분이면교배에서 p개의 근교계통의 일반조합능력을 비교하기 위한 불완비 블록계획을 구성하는 방법을 제시한다. 부분이면 블록계획은 블록의 크기가 2 이면서 m개의 동반분류를 갖는 부분 균형 불완비 블록계획과균형 불완비 블록계획을 이용하여 구성한다. 또한, p $\leq$ 24일 때 이러한 방법으로 구성되는 블록계획의 효율성을 표로 제시한다.

분할법에서 EMS알고리즘을 이용한 풀링분산검정 (Pooling Variance Tests Using Expected Mean Square in Split-Plot Designs)

  • 최성운
    • 대한안전경영과학회지
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    • 제10권3호
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    • pp.245-251
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    • 2008
  • The research proposes three ANOVA(Analysis of Variance) tests using expected mean square(EMS) algorithms in various split-plot designs. The variance tests consist of Never-Pool test, Sometimes-Pool test and Always-Pool test. This paper also presents two EMS algorithms such as standard method and easy method. These algorithms are useful to make a decision rule for pooling. Numerical examples are illustrated for various split-plot designs such as split-plot designs, split-split-plot designs, repetition split-plot designs, and nested designs. Pragmatically, the results are summarized and compared with popular ANOVA spreadsheets and data model equations.

Resolution IV $3^t$ 요인부분실험법의 축차 분석방법에 관한 연구 (A Study on the Sequential Analysis of Resolution IV $3^t$ Fractional Factorial Designs)

  • 김상익
    • 한국품질경영학회:학술대회논문집
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    • 한국품질경영학회 2010년도 춘계학술대회
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    • pp.129-138
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    • 2010
  • 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 combination in order to identify the influential interactions for the resolution-IV fracrtional 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.

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ON SECOND ORDER SLOPE ROTATABLE DESIGNS - A REVIEW

  • Victorbabu, B. Re.
    • Journal of the Korean Statistical Society
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    • 제36권3호
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    • pp.373-386
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    • 2007
  • In this paper, a review on second order slope rotatable designs (SOSRD) is studied. Further, different methods of constructions of SOSRD like slope rotatable central composite designs (SRCCD), SOSRD using balanced incomplete block designs (BIBD), SOSRD using pairwise balanced designs (PBD), SOSRD using partially balanced incomplete block type designs (PBIBD) and SOSRD using symmetrical unequal block arrangements (SUBA) with two unequal block sizes are examined in detail. A table is provided where for a range of different values of v (v stands for number of factors) the design points needed by different methods are compared. The optimum SOSRD with minimum number of design points for each factor is suggested for $2{\leq}v{\leq}16$.

4-수준 계량인자가 포함된 반사계획에 관한 연구 (A Study on Developing Fold-Over Designs with Four-Level Quantitative Factors)

  • 최규필;변재현
    • 대한산업공학회지
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    • 제28권3호
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    • pp.283-290
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    • 2002
  • Two-level fractional factorial designs are widely used when many factors are considered. When two-level fractional factorial designs are used, some effects are confounded with each other. To break the confounding between effects, we can use fractional factorial designs, called fold-over designs, in which certain signs in the design generators are switched. In this paper, optimal fold-over designs with four-level quantitative and two-level factors are presented for (1) the initial designs without curvature effect and (2) those with curvature effect. Optimal fold-over design tables are provided for 8-run, 16-run, and 32-run experiments.

한복을 응용한 패션디자인에 대한 미국 대학생들의 이미지 지각 특성 (American Students' Perception of Fashion Design that incorporates characteristics of Korean Traditional Dress)

  • 정현;신황수정
    • 복식
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    • 제60권9호
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    • pp.106-119
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    • 2010
  • The purpose of this study is to examine American students' perceptions of contemporary fashion design that incorporates Korean traditional costume. The findings, which are based on a survey of American students' aesthetic response to the fashion designs, are as follows. First, the impressions of American students about the fashion designs were affected by two major factors, Tradition and Trend. The Tradition factor was related to the impressions traditional, formal, elegant, classic, romantic, gorgeous, and natural, but was correlated negatively to the impressions dynamic, modern, and casual. The Trend factor was related to the impressions chic, trendy, and clear but not dandy. Designs with elongated shape had a positive score for the Tradition factor and designs with curvy line had a positive score for the Trend factor. Second, American students gave visual priority to the aspects of shape such as garment type and silhouette when they evaluated the designs. Color was less important than the aspect of shape in their fashion image perception. Therefore, they categorized the designs by similarity of garment types, and then sub-categorized them by color. The meaning of Korean traditional motifs or details was not significant to American students. Third, American students showed the tendency that the more they evaluated the designs to be gorgeous or trendy, the more they liked the designs. Furthermore, they liked the designs which have a positive score for the Trend factor.