• Title/Summary/Keyword: FACTORIAL EXPERIMENT METHOD

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Designs for Factorial Experiment

  • Choi, Kuey-Chung
    • 한국데이터정보과학회:학술대회논문집
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    • 2005.04a
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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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Design of Experiment Using Design Matrix in Terms of Generalized Linear Model (일반화 선형모형의 디자인 행렬을 이용한 품질 실험 설계)

  • Choi, Sung-Woon
    • Proceedings of the Safety Management and Science Conference
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    • 2009.04a
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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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Texture profile analysis of acorn flour gel-Comparison of 3$\times$3 latin square with 3sup 3 factorial experiment - (도토리묵의 Texture 특성 -라틴방격법과 요인배치법의 비교-)

  • 김영아
    • Journal of the Korean Home Economics Association
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    • v.23 no.3
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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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Blocking Method of 2n Factorial and Fractional Factorial Designs in Blocks of Size Two by Using Defining Contrast (한 블록 당 실험의 크기가 2인 경우 정의대비를 이용한 2n요인실험과 그 일부실시법의 설계방법)

  • Choi, Byoung-Chul
    • Communications for Statistical Applications and Methods
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    • v.15 no.4
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    • pp.497-507
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    • 2008
  • Confounding techniques have to be used repeatedly in the situations where it is necessary to perform only 2 runs under homogeneous conditions in $2^m$ factorial and fractional factorial experiment. Combinations of confounded $2^m$ factorial and fractional factorial designs enable the estimation of all main effects and all of or a part of 2 factor interaction effects. Defining contrast are used for our designs and treatment combinations of designs to be run are presented.

A Study on the Construction and Analysis of Fractional Designs by Using Arrays for Factorial Experiments (배열을 이용한 효과적인 일부실시법의 설계 및 분석방법에 관한 연구)

  • Kim, Sang-Ik
    • Journal of Korean Society for Quality Management
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    • v.40 no.1
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    • pp.15-24
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    • 2012
  • For the construction of fractional factorial designs, the various arrays can be widely used. In this paper we review the statistical properties of fractional designs constructed by two arrays such as orthogonal array and partially balanced array, and develop a quick and easy method for analyzing unreplicated saturated designs. The proposed method can be characterized that we control the error rate by experiment-wise way and exploit the multivariate Student $t$-distribution. Especially the proposed method can be used efficiently together with some exploratory analysis methods, such as half normal probability plot method.

Optimization of Silver Nanoparticles Synthesis through Design-of-Experiment Method (실험계획법을 활용한 은 나노 입자의 합성 및 최적화)

  • Lim, Jae Hong;Kang, Kyung Yeon;Im, Badro;Lee, Jae Sung
    • Korean Chemical Engineering Research
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    • v.46 no.4
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    • pp.756-763
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    • 2008
  • The aim of this work was to obtain uniform and well-dispersed spherical silver nanoparticles using statistical design-of-experiment methods. We performed the experiments using 2 k fractional factorial designs with respect to key factors of a general chemical reduction method. The nanoparticles prepared were characterized by SEM, TEM and UV-visible absorbance for particle size, distribution, aggregation and anisotropy. The data obtained were analyzed and optimized using a statistical software, Minitab. The design-of-experiment methods using quantified data enabled us to determine key factors and appreciate interactions between factors. The measured properties of nanoparticles were dominated not only by individual one or two main factors but also by interactions between factors. The appropriate combination of the factors produced small, narrow-distributed and non-aggregated silver nanoparticles of about 30 nm with approximately 10% standard deviation.

Consideration of the Effect of Miscellaneous Factors on Frost Resistance of High Strength Concrete by Using the Factorial Design Method

  • Kwon Young-Jin
    • Journal of the Korea Concrete Institute
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    • v.16 no.2 s.80
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    • pp.269-275
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    • 2004
  • Factorial design method is applied to investigate the effects of various factors simultaneously rather than to conduct a series of single-factor experiment. As the results, frost resistance of the concrete specimens, in both W/C ratio of 0.28 and 0.35, was highly affected by the type of coarse aggregate that is, andesite produced more durable concrete than the limestone. Durability factor of the specimens, with W/C ratio of 0.28, which were demolded after I day and transferred to the curing room was higher than those demolded after 2 days. This stated the efficiency of the high early curing in high strength concrete.

Understanding Robust Design with Paper Helicopter Experiment (종이 헬리콥터 실험을 통한 강건설계의 이해)

  • Byun, Jai-Hyun;Kim, Yong Tae;Lee, Min Ji
    • Journal of Korean Institute of Industrial Engineers
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    • v.39 no.5
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    • pp.374-382
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    • 2013
  • Robust design method developed by Genichi Taguchi has been very popular since the 1980s and there have been many academic and applied research works on this topic. However, college students and engineers in companies have had difficulty in understanding the method. This paper presents a procedure to implement the robust design method by an easy-to-execute paper helicopter experiment. A crossed array was adopted, which consists of a resolution IV fractional factorial design with 6 control factors and a factorial design with 3 noise factors. Three performance measures were analyzed; signal-to-noise ratio, mean, and standard deviation of the falling time of the paper helicopter that is to be maximized. Control-noise interaction plots are also given to evaluate the degree of the sensitivity of each level of the control factors to the noise factors. The procedure presented in this paper can be helpful to those who want to have basic knowledge in the robust design method.

$3^{n-p}$ Fractional Factorial Desig Excluded A Debarred Combination (실험불가능한 처리조합이 배제되는 $3^{n-p}$ 일부실시법)

  • 최병철;최승현
    • The Korean Journal of Applied Statistics
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    • v.11 no.2
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    • pp.303-315
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    • 1998
  • 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.

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A Study on Optimal Operation Conditions for an Electronic Device Alignment System by Using Design of Experiments (실험계획법을 이용한 전자부품 위치정렬장치 최적 운영조건 사례연구)

  • Lee, Dong Heon;Lee, Mi Lim;Bae, Suk Joo
    • Journal of Korean Society for Quality Management
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    • v.43 no.3
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    • pp.453-466
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    • 2015
  • Purpose: The purpose of this study is to design a systematic method to estimate optimal operation conditions of design variables for an electronic device alignment system. Method: The 2-level factorial design and the central composite design are used in order to plan experiments. Based on the experiment results, a regression model is established to find optimal conditions for the design variables. Results: 3 of 5 design variables are selected as major factors that affect the alignment system significantly. The optimized condition for each variable is estimated by using a sequential experiment plan and a quadratic regression model. Conclusion: The method designed in this study provides an efficient and systematic plan to select the optimized operation condition for the design variables. The method is expected to improve inspection accuracy of the system and reduce the development cost and period.