• 제목/요약/키워드: statistical experiment design

검색결과 308건 처리시간 0.031초

연성해석과 통계적 방법을 이용한 Butterfly Valve의 다목적 최적설계 (Multi-objective Optimization of Butterfly Valve using the Coupled-Field Analysis and the Statistical Method)

  • 배인환;이동화;박영철
    • 한국정밀공학회지
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    • 제21권9호
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    • pp.127-134
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    • 2004
  • It is difficult to have the existing structural optimization using coupled field analysis from CFD to structure analysis when the structure is influenced of fluid. Therefore in an initial model of this study after doing parameter design from the background of shape using topology optimization. and it is making a approximation formula using by the CFD-structure coupled-field analysis and design of experiment. By using this result, we conducted multi-objective optimization. We could confirm efficiency of stochastic method applicable in the scene of structure reliability design to be needed multi-objective optimization. And we presented a way of design that could overcome the time and space restriction in structural design such as the butterfly valve with the less experiment.

단계적 실험 설계와 다차원 디자인 스페이스 분석 기술을 통한 초저온 SAW 공정의 최적 용접 파라미터 설계 (Optimal Parameter Design for a Cryogenic Submerged Arc Welding(SAW) Process by Utilizing Stepwise Experimental Design and Multi-dimensional Design Space Analysis)

  • 이현정;김영천;신상문
    • 품질경영학회지
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    • 제48권1호
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    • pp.51-68
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    • 2020
  • Purpose: The primary objective of this research is to develop the optimal operating conditions as well as their associated design spaces for a Cryogenic Submerged Arc Welding(SAW) process by improving its quality and productivity simultaneously. Methods: In order to investigate functional relationships among quality characteristics and their associated control factors of an SAW process, a stepwise design of experiment(DoE) method is proposed in this paper. Based on the DoE results, not only a multi-dimensional design space but also a safe operating space and normal acceptable range(NAR) by integrating statistical confidence intervals were demonstrated. In addition, the optimal operating conditions within the proposed NAR can be obtained by a robust optimal design method. Results: This study provides a customized stepwise DoE method (i.e., a sequential set of DoE such as a factorial design and a central composite design) for Cryogenic SAW process and its statistical analysis results. DoE results can then provide both the main and interaction effects of input control factors and the functional relationships between the input factors and their associated output responses. Maximizing both the product quality with high impact strength and the productivity with minimum processing times simultaneously in a case study, we proposed a design space which can provide both acceptable productivity and quality levels and NARs of input control factors. In order to confirm the optimal factor settings and the proposed NARs, validation experiments were performed. Conclusion: This research may provide significant contributions and applications to many SAW problems by preparing a standardization of the functional relationship between the input factors and their associated output response. Moreover, the proposed design space based on DoE and NAR methods can simultaneously consider a number of quality characteristics including tradeoff between productivity and quality levels.

A Detection Matrix for $3N^n$ Search Design

  • Um, Jung-Koog
    • Journal of the Korean Statistical Society
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    • 제12권2호
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    • pp.61-68
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    • 1983
  • A parallel flats fraction for the $3^n$ factorial experiment is defined as the union of flats, ${t$\mid$At=C_i(mod 3)}, i=1,2,\cdot,f$, in EG(n,3) and is symbolically written as At=C where A is of rank r. The A matrix partitions the effects into u+1 alias sets where $u=(3^{n-r}-1)/2$. For each alias set the f flats produce an alias component permutation matrix (ACPM) with elements from $S_3$. In this paper, a detection vector of the ACPM was constructed for each combination of k or fewer two-factor interactions. Also the relationship between the detection vectors has been shown.

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Alias Component Permutation Matrices (ACPM) for the $3^n$ Parallel Fractional Factorial Design

  • Um, Jung-Koog
    • Journal of the Korean Statistical Society
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    • 제9권1호
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    • pp.1-12
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    • 1980
  • A parallel flats faraction for the $3^n$ factorial experiment is symbolically written as $At = C(r\timesf)$ where $A(r\timesn)$ is of rank r. The A-matrix partitions the nonnegligible effects into $(3^{n-r}-1)/2+1$ alias sets. The $U_i$ effects in the i-th alias set are related pairwise by elements from $S_3$, the symmetric group on three symbols. For each alias set the f flats produce an $f \times u_i$ alias componet permutation matrices (ACPM) with elements from $S_3$. All the information concerning the relationships among levels of the effects is contained in the ACPM.

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정확최적실험계획법 (Exact Constrained Optimal Design)

  • 김영일
    • Communications for Statistical Applications and Methods
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    • 제16권2호
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    • pp.299-308
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    • 2009
  • 실험을 시행하는 경우 모형과 수반하는 가정들이 가지고 있는 불확실성 때문에 하나의 목적만 가지고 실험을 수행하는 경우는 거의 없다. 문헌에서는 이러한 문제를 해결하기 위한 3가지 방법이 존재한다. 최대-최소법, 복합실험법 그리고 제약실험법이 그것이다. 복합실험법과 제약실험법의 동격성이 Cook과 Wong(1994)의 논문에 의해 증명된 이래로 많은 수많은 제약실험법의 방법들이 제안되었지만 모두 복합실험법의 근사알고리즘에 기초하였다. 따라서 본 논문에서는 제약실험법하에서의 정확알고리즘을 제안하여 실제적인 실험환경하에서 도움을 주고자 하였다. 이러한 과정에서 본 논문에서는 다른 형태의 제약실험법의 형태를 제안하였으며 부산물로 비 타당성의 문제를 볼 수 있는 그림을 첨부하였다.

Evaluating the efficiency of treatment comparison in crossover design by allocating subjects based on ranked auxiliary variable

  • Huang, Yisong;Samawi, Hani M.;Vogel, Robert;Yin, Jingjing;Gato, Worlanyo Eric;Linder, Daniel F.
    • Communications for Statistical Applications and Methods
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    • 제23권6호
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    • pp.543-553
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    • 2016
  • The validity of statistical inference depends on proper randomization methods. However, even with proper randomization, we can have imbalanced with respect to important characteristics. In this paper, we introduce a method based on ranked auxiliary variables for treatment allocation in crossover designs using Latin squares models. We evaluate the improvement of the efficiency in treatment comparisons using the proposed method. Our simulation study reveals that our proposed method provides a more powerful test compared to simple randomization with the same sample size. The proposed method is illustrated by conducting an experiment to compare two different concentrations of titanium dioxide nanofiber (TDNF) on rats for the purpose of comparing weight gain.

협피치 BGA Test Socket용 고정밀 금형기술 개발(2) - 성형해석 및 통계적 기법을 활용한 변형저감 기술 (Development of High Precision Mold for Narrow Pitch BGA Test Socket -Reduction Technology of Warpage using CAE and Statistical Techniques)

  • 정우철;허영무;신광호;장성호;정태성
    • 한국금형공학회:학술대회논문집
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    • 한국금형공학회 2008년도 하계 학술대회
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    • pp.175-181
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    • 2008
  • The technologies of mold design, manufacturing, injection molding process and computer aided engineering(CAE) are developed rapidly with the growth of plastic product market. Injection molding process optimum design can not be easily determined. This study was determined factors and levels which carried out to analyze an influence of narrow pitch BGA socket warpage and performed investigating the main effect and interaction effect between factors using design of experiment. The result of this paper is injection time and packing pressure are affect on narrow pitch BGA socket warpage at injection molding.

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Power Algorithms for Analysis of Variance Tests

  • Hur, Seong-Pil
    • 한국국방경영분석학회지
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    • 제13권1호
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    • pp.45-64
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    • 1987
  • Power algorithms for analysis of variance tests are presented. In experimental design of operational tests and evaluations the selection of design parameters so as to attain an experiment with desired power is a difficult and important problem. An interactive computer program is presented which uses the power algorithms for ANOVA tests and creates graphical presentations which can be used to assist decision makers in statistical design. ANOVA tests and associated parameters (such as sample size, types and levels of treatments, and alpha-level)are examined.

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소비자 감성을 고려한 소파 설계 DB 및 Interface 개발 (Development of Data Base and Interface for Sofa Design Considering Consumer Sensibility)

  • 송미진;심정훈;허춘욱;윤훈용
    • 대한인간공학회지
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    • 제26권3호
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    • pp.81-89
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    • 2007
  • The purpose of this study is to develop data base and interface for sofa consumers and sofa designers. The human sensibility ergonomics method was used to find the consumer needs and Quality Function Deployment (QFD) method was used to extract the designing characteristics required for sofa production. About 200 words and 100 images were gathered from sofa and furniture related catalogs and internet sites to find the best emotional words and images that can express the various sofa aspect. Among the collected words and images, 34 emotional words were selected for sensibility experiment according to the opinions of experts, relations of closeness and frequency of use, and 50 images were selected for the experiment by the diversity. Selected words and images were used for the semantic differential method with 94 subjects, and sensibility characteristics of sofas were defined through various statistical analysis methods including basic statistical analysis, factor analysis and multi-dimensional scale. In reflecting design characteristics of sofas, design factors of sofas were divided into backrest, seat, armrest, neck support and leg, and relative importance of each factor for design was determined with analytic hierarchy process (AHP) by utilizing the experts' opinions. Based on the results above, relationship analysis between emotional evaluation results and design factors was performed. Also, as various sofa images are presented diagrammatically through multidimensional scaling method, it can be used as an important tool for the development of sofa design. This study will contribute improving the product quality of sofas as it enables applying consumer needs into the sofa design.

2 × 2 교차설계에 의한 생물학적동등성시험에서 결측치가 있을 때의 통계적 해석 방법 (Statistical Interpretation of Bioequivalence in 2 × 2 Crossover Design with Missing Observations)

  • 박상규;이재영;최성업;윤미경;이재휘;최영욱
    • Journal of Pharmaceutical Investigation
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    • 제34권5호
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    • pp.379-383
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    • 2004
  • Statistical interpretations in a bioequivalence trial are considered and studied when the missing observations occurred in $2\;{\times}\;2$ crossover experiment. Patel (1985) suggested the approximate test procedures for carryover effect and drug effect in $2\;{\times}\;2$ crossover design when some of data are missing in the second period. A modified Patel method is newly proposed to the bioequivalence trial and it is compared with the current method through the simulation study.