• 제목/요약/키워드: Factorial experiment

검색결과 511건 처리시간 0.025초

On ORTHOGONALITY AND BALANCING IN GENERALIZED CYCLIC FACTORIAL EXPERIMENTS

  • Lee, U-Sun
    • Journal of the Korean Statistical Society
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    • 제21권1호
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    • pp.80-86
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    • 1992
  • The concept of Balanced Factorial Experiment (BFE) was introduced by Shah (1958). The conditions for BFE were set up by Kurkjian and Zelen (1963) and Kshirsagar (1966). Generalized Cyclic Factorial Experiment (GCFE), which is more wide class of designs than BFE, do not satisfy the condition of BFE. So all contrasts belonging to the same interaction are not estimated with equal variance. The main purpose of this paper is to show that GCFE have orthogonal factorial structure and the scheme of the size of variances for all normalized contrasts in GCFE is similar to the original intra-block association scheme.

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Designs for Factorial Experiment

  • Choi, Kuey-Chung
    • 한국데이터정보과학회:학술대회논문집
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    • 한국데이터정보과학회 2005년도 춘계학술대회
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    • pp.69-82
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    • 2005
  • Factorial experiments are studied in this paper. The Designs, thus, have factorial balance with respect to estimable main effects and interactions. John and Lewis (1983) considered generalized cyclic row-column designs for factorial experiments. A simple method of constructing confounded designs using the classical method of confounding for block designs is described in this paper.

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Cyclic Factorial Association Scheme Partially Balanced Incomplete Block Designs

  • Paik, U.B.
    • Journal of the Korean Statistical Society
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    • 제14권1호
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    • pp.29-38
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    • 1985
  • Cyclic Factorial Association Scheme (CFAS) for incomplete block designs in a factorial experiment is defined. It is a generalization of EGD/($2^n-1$)-PBIB designs defined by Hinkelmann (1964) or Binary Number Association Scheme (BNAS) named by Paik and Federer (1973). A property of PBIB designs having CFAS is investigated and it is shown that the structural matrix NN' of such designs has a pattern of multi-nested block circulant matrix. The generalized inverse of (rI-NN'/k) is obtained. Generalized Cyclic incomplete block designs for factorial experiments introduced by John (1973) are presented as the examples of CFAS-PBIB designs. Finally, the relationship between CFAS and BNAS in block designs is briefly discussed.

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일반화 선형모형의 디자인 행렬을 이용한 품질 실험 설계 (Design of Experiment Using Design Matrix in Terms of Generalized Linear Model)

  • 최성운
    • 대한안전경영과학회:학술대회논문집
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    • 대한안전경영과학회 2009년도 춘계학술대회
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    • pp.423-427
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    • 2009
  • This study proposes the generation mechanism of various design matrix using generalized linear model for design of experiment. Design generation method of GLM analysis, factorial design(FD) with center points, ANOVA design with lack-of-fit test, and response surface design are introduced. In central composite(CC) design, orthogonal blocking and fractional factorial design(FFD) are presented. We compare the design of Box-Benhken(BB) and face-centred central compsite design.

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도토리묵의 Texture 특성 -라틴방격법과 요인배치법의 비교- (Texture profile analysis of acorn flour gel-Comparison of 3$\times$3 latin square with 3sup 3 factorial experiment -)

  • 김영아
    • 대한가정학회지
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    • 제23권3호
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    • pp.49-53
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    • 1985
  • The typical texture profile analysis of acorn flour gel was investigated with Instron univ. testing machine by two experimental designs, 3$\times$3 latin square and $3^{3}$factorial experiment. As the result, it was revealed that Latin square is a useful method to reduce the number of experiments, in the case of a negligible interaction.

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전자제어식 디젤엔진에 있어서 반응치에 따른 요인배치법의 활용 방안에 대한 분석 (Analysis on Application Plan of Factorial Design in Relation to Responses for Electronically-controlled Diesel Engine)

  • 이정규;김민종;고성위;양주호;한규일;고대권;정석호
    • 동력기계공학회지
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    • 제22권1호
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    • pp.5-10
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    • 2018
  • In order to employ factorial design on electronically-controlled diesel engine, effects of 5 factors on specific fuel consumption, nitrogen oxides and carbon monoxide were examined by fractional and full factorial design in this research. There were different results between fractional and full factorial design, then effect of variables as ambient condition and measurement of fuel consumption were confirmed. It was shown that ambient condition affected uniformly trend of nitrogen oxides and carbon monoxide. However, both ambient condition and measurement of fuel consumption had nothing to do with trend of specific fuel consumption and therefore it must be careful to employ factorial design on specific fuel consumption as response.

Characterization of Negative Photoresist Processing by Statistical Design of Experiment (DOE)

  • Mun Sei-Young;Kim Gwang-Beom;Soh Dea-Wha;Hong Sang Jeen
    • Journal of information and communication convergence engineering
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    • 제3권4호
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    • pp.191-194
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    • 2005
  • SU-8 is a epoxy based photoresist designed for MEMS applications, where a thick, chemically and thermally stable image are desired. However SU-8 has proven to be very sensitive to variation in processing variables and hence difficult to use in the fabrication of useful structures. In this paper, negative SU-8 photoresist processed has been characterized in terms of delamination, based on a full factorial designed experiment. Employing the design of experiment (DOE), a process parameter is established, and analyzing of full factorial design is generated to investigate degree of delamination associated with three process parameters: post exposure bake (PEB) temperature, PEB time, and exposure energy. These results identify acceptable ranges of the three process variables to avoid delamination of SU-8 film, which in turn might lead to potential defects in MEMS device fabrication.

한 블록 당 실험의 크기가 2인 경우 정의대비를 이용한 2n요인실험과 그 일부실시법의 설계방법 (Blocking Method of 2n Factorial and Fractional Factorial Designs in Blocks of Size Two by Using Defining Contrast)

  • 최병철
    • Communications for Statistical Applications and Methods
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    • 제15권4호
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    • pp.497-507
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    • 2008
  • 동일 환경에서 할 수 있는 실험의 크기가 2인 경우 $2^n$요인실험과 그 일부실시법을 설계하려면 교락법을 반복적으로 사용해야한다. $2^n$요인실험 또는 그 일부실시법의 교락법들을 적절히 조합하면 모든 주효과와 2인자 교호작용효과 전부 또는 일부를 검출할 수 있는 실험을 설계할 수 있다. 이런 실험을 설계하기 위해 정의대비를 이용했고 설계된 실험의 처리조합을 제시하였다.

완전요인계획에 의한 선삭가공시 표면거칠기 예측 (Surface roughness prediction with a full factorial design in turning)

  • 양승한;이영문;배병중
    • 한국기계가공학회지
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    • 제1권1호
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    • pp.133-140
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    • 2002
  • The object of this paper is to predict the surface roughness using the experiment equation of surface roughness, which is developed with a full factorial design in turning. $3^3$ full factorial design has been used to study main and interaction effects of main cutting parameters such as cutting speed, feed rate, and depth of cut, on surface roughness. For prediction of surface roughness, the arithmetic average (Ra) is used, and stepwise regression has been used to check the significance of all effects of cutting parameters. Using the result of these, the experimental equation of surface roughness, which consists of significant effects of cutting parameters, has been developed. The coefficient of determination of this equation is 0.9908. And the prediction ability of this equation was verified by additional experiments. The result of that, the coefficient of determination is 0.9718.

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