• Title/Summary/Keyword: Factorial designs

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A Robust Design of Response Surface Methods (반응표면방법론에서의 강건한 실험계획)

  • 임용빈;오만숙
    • The Korean Journal of Applied Statistics
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    • v.15 no.2
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    • pp.395-403
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    • 2002
  • In the third phase of the response surface methods, the first-order model is assumed and the curvature of the response surface is checked with a fractional factorial design augmented by centre runs. We further assume that a true model is a quadratic polynomial. To choose an optimal design, Box and Draper(1959) suggested the use of an average mean squared error (AMSE), an average of MSE of y(x) over the region of interest R. The AMSE can be partitioned into the average prediction variance (APV) and average squared bias (ASB). Since AMSE is a function of design moments, region moments and a standardized vector of parameters, it is not possible to select the design that minimizes AMSE. As a practical alternative, Box and Draper(1959) proposed minimum bias design which minimize ASB and showed that factorial design points are shrunk toward the origin for a minimum bias design. In this paper we propose a robust AMSE design which maximizes the minimum efficiency of the design with respect to a standardized vector of parameters.

Study of Wear Characteristics of Hydraulic Equipment Used in Power Plants (발전소용 유압기기의 마모특성 연구)

  • Lee, Yong Bum;Lee, Gi Chun;Chang, Mu Seong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.9
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    • pp.1183-1188
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    • 2013
  • The reliability of hydraulic equipment used in power plants is especially important because failures that occur in the power plant can have a great ripple effect on human lives and financial losses. In this study, specimens using the materials used in the spool and sleeve of hydraulic valves of power plants have been produced, heat-treated, and tested under the precipitation conditions of phosphate ester hydraulic fluid with a variety of conditions. 23 full factorial designs have been applied to evaluate the significance of factors that affect the wear loss of the specimen, specifically, the load, velocity, and temperature. The significance evaluation was performed on the main effects and two-way interactions for wear loss based on the experiment results, and the mathematical equations between the wear loss and the three factors were derived from the analysis results.

Optimum Design of a Coil Spring for Improving the Performance of a Spring -Operated Mechanism (스프링 조작기의 성능 개선을 위한 코일스프링의 최적 설계)

  • Lee, Dae Woo;Sohn, Jeong Hyun;Yoo, Wan Suk
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.40 no.3
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    • pp.275-280
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    • 2016
  • In this study, a release test bed is designed to evaluate the dynamic behaviors of a coil spring. From the release tests, the dynamic behaviors of a coil spring are analyzed. A lumped parameter spring model was established for numerical simulation of a spring. The design variables of a coil spring are optimized by using the design of experiments approach. Two-level factorial designs are used for the design optimization, and the primary effects of the design variables are analyzed. Based on the results of the interaction analysis and design sensitivity analysis, the level of the design variables is rearranged. Finally, the mixed-level factorial design is used for the optimum design process. According to the optimum design of the opening spring, the dynamic performance of the spring-operated mechanism increases by 2.90.

Optimization Condition of Trace Analysis of Fuel Oxygenated Compounds Using The Design of Experiment (DOE) in Solid-Phase Microextraction with GC/FID (고체상미량분석법(SPME-GC/FID)에서 실험계획법을 이용한 연료첨가제 미량분석의 최적조건)

  • An, Sang-Woo;Lee, Si-Jin;Chang, Soon-Woong
    • Journal of Soil and Groundwater Environment
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    • v.15 no.1
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    • pp.9-18
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    • 2010
  • In this study, Solid-phase micro-extraction (SPME) with Gas Chromatograph using Flame Ionization Detector (GC/FID) was studied as a possible alternative to liquid-liquid extraction for the analysis of Methyl tert-butyl ether (MTBE) and Tertiary-butyl ether (TBA) in water and an optimization condition of trace analysis of MTBE and TBA using the design of experiment (DOE) was described. The aim of our research was to apply experimental design methodology in the optimization condition of trace analysis of fuel oxygenated compounds in soil-phase microextraction with GC/FID. The reactions of SPME were mathematically described as a function of parameters of Temp ($X_1$), Volume ($X_2$), Time ($X_3$) and Salt ($X_4$) being modeled by the use of the partial factorial designs, which was used for fitting 2nd order response surface models and was alternative to central composite designs. The model predicted agreed with the experimentally observed result ($Y_1$(MTBE, $R^2$ = 0.96, $Y_2$ (TBA, $R^2$ = 0.98)). The estimated ridge of the expected maximum responses and optimal conditions for MTBE and TBA were 278.13 and (Temp ($X_1$) = $48.40^{\circ}C$, Volume ($X_2$) = 73.04 mL, Time ($X_3$) = 11.51 min and Salt ($X_4$) = 12,50 mg/L), and 127.89 and (Temp ($X_1$) = $52.12^{\circ}C$, Volume ($X_2$) = 88.88mL, Time ($X_3$) = 65.40 min and Salt ($X_4$) = 12,50 mg/L), respectively.

Favorability's Difference of Beard Type According to Perceiver's Characteristic

  • Kang, Daeyoung;An, Jongsuk
    • Journal of Fashion Business
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    • v.17 no.6
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    • pp.44-59
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    • 2013
  • The modern people do express their personalities by appearance and actively use the appearance as the social tools, and the attractive appearance largely does influence the human relationship. As the appearance's importance is being magnified, the attractive appearance and favourable impression is an important standard for job performance and social position, and used as the way to reach the social goal. This study does investigate the design's kind and character of the beard which belongs to the male exclusive property and compare the differences of the impression's formation according to the beard design. The empirical results confirmed that the male beard design formated the various impressions according to the designs and their mutual relationship existed. Therefore, the beard is a symbol of maleness and an expression for the social position and personal character, whereas it possesses the very important meaning as the influencing factor on the impression's change. First, the pre stimuli were finished through the pre survey for composition of questionnaire in order to evaluate the impression after selection of experimental models and beard types for measuring instruments. Second, sixty three university students were surveyed by pre stimuli and questionnaire as pre experiment, and afterwards the measuring instruments and experimental design were revised. Third, the stimuli completed (nine beard designs) were intentionally well distributed as questionnaire by sex and ages in Seoul metropolitan and her environment. and the factorial analysis and the coefficient of Cronbach's ${\alpha}$ for reliability test were completed for questionnaire's validity using SPSS/PC+ Window Ver. 12.0.

The Effects of the Congruence between Cosmetic Advertising Image and Self-Image on Consumer Attitudes (화장품 광고이미지와 자아이미지의 일치성이 소비자 태도에 미치는 영향)

  • Choi, Jung-Sun;Jeon, Jung-Ok
    • Journal of the Korean Home Economics Association
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    • v.46 no.7
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    • pp.35-45
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    • 2008
  • For the highly involved and emotional product, such as cosmetic product, the consumer focuses on the information about the symbolic meaning of a product. As a continuum, cosmetic advertising frequently requires a celebrity and/or cue since it provides identification between customer and cosmetic. Although many studies have examined the effectiveness of the congruence between brand image and self-image, there are little research regarding the congruence between advertising image and self image. The objective of this study is to examine the attitudinal effectiveness of the congruence between cosmetic advertising image and self-image. For the experiment, 2(ad type: rational vs emotional) factorial designs were performed. A total of 240 undergraduate female students participated in the experiment. The results of the study are as follows. First, the congruence had a significantly positive influence on advertising attitude, but not on brand attitude. Second, the type of cosmetic advertising caused differences in attitudinal persuasiveness affected by the congruence.

The Effect of Dilution on Beauty Brand Extension Situation -Was Parent Brand's Knowledge Transferred to Brand Extension by Typicality?- (뷰티브랜드 확장상황에서 희석효과 -전형성에 기초한 브랜드 확장 시 모브랜드의 지식이 전이 되었는가?-)

  • Choi, Jung-Sun;Jeon, Jung-Ok
    • Journal of the Korean Society of Clothing and Textiles
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    • v.35 no.1
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    • pp.63-76
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    • 2011
  • The potential for brand dilution occurs when new brands merge with an identical image of a parent brand. Despite the significant attention regarding the effects of dilution on brand extension, there is limited research on brand dilution in the beauty industry. This study analyzes the effect of the typicality of extensional type on brand attitude or purchase intention for potential dilution toward beauty brand extension. In addition, we examine the moderating effect of knowledge transfer when customers evaluate the typicality of the extensional type for potential dilution toward beauty brand extensions. For the experiment, 4 description type factorial designs were performed. A total of 219 students participated in the experiment who had experience of visiting a beauty salon. The results are as follows. First, there are significant independent and interaction effects between the typicality and extensional type that reveals differential influences on the attitude or purchase intentions toward extended beauty brands. Second, the knowledge of the parent brand is transferred to extended brands. Third, there is a significant moderating effect of knowledge transfer, as customers evaluate the typicality of the extensional type for the potential dilution toward beauty brand extension. This study provides some theoretical and practical perspectives with some limitations.

The Effects of Similarity and Brand Fit of Extension Type on Beauty Brand Attitude (뷰티브랜드 확장 시 확장유형의 유사성과 브랜드적합성이 브랜드태도에 미치는 영향)

  • Choi, Jung-Sun;Jeon, Jung-Ok
    • Journal of the Korean Society of Clothing and Textiles
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    • v.33 no.8
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    • pp.1293-1305
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    • 2009
  • Despite the attention regarding the effects of brand extension, there is limited research focused on brand extension in the beauty industry. This study discusses whether the similarity of extensional types and brand fit has any effect on the brand attitude toward beauty brand extension. This study examines the changes in the brand attitude and finds the effect of the similarity of extensional types and brand fits on brand attitude toward beauty brand extension. In the experiment, 4 description type factorial designs were performed. A total of 114 females participated in the experiment that had an experience of visiting a beauty salon. The results are as follows. First, the similarity of an extensional product-type has a positive effect on attitude toward parent beauty brand, while the similarity of extensional service-type does not. Second, there are significant independent and interaction effects between similarity and brand fit, which reveal differential influences on attitudes toward an extended beauty brand. Attitudes toward parent and extended beauty brands were affected by the similarity of extensional types and brand fit.

An Optimum Design of Secondary Battery Using Design of Experiments with Mixture (혼합물실험계획법을 이용한 2차전지의 최적설계)

  • Kim, Seong-Jun;Park, Jong-In
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2005.05a
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    • pp.983-989
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    • 2005
  • Secondary batteries with high performance are essential in widespread use of modern portable devices such as cellular phones and laptop computers. High energy density, long cycle life, and safety are some of important requirements for secondary battery. To achieve such characteristics, a mixing proportion of electrolyte solution ingredients in the battery should be carefully chosen. In this paper, using statistical design of mixture experiments (DOME), we attempt to find an optimum condition of designing the secondary battery. DOME has a distinct feature in that the experimental region is represented by simplex, rather than hypercube, because the sum of blend proportions should be unity. Several designs based upon this point have been proposed for mixture experiments. Among them, an extreme vertices design is employed in this paper because there are a couple of blend constraints to be considered. In order to investigate how the mixing proportion interacts with other manufacturing factors, a fractional factorial design is also included across the extreme vertices design. As a result, we find that the blend proportion of solution ingredients has a significant effect on battery performances. By simultaneously optimizing two battery capacities, this paper proposes an optimum blend proportion according to process factor settings.

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Development of Press Forming Technology for the Multistage Fine Tooth Hub Gear (다단 미세 치형 허브기어의 프레스 성형기술개발)

  • Kim Dong-Hwan;Ko Dae-Cheol;Lee Sang-Ho;Byun Hyun-Sang;Kim Byung-Min
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.6 s.183
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    • pp.44-51
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    • 2006
  • This paper deals with the aspects of die design for the multistage fine tooth hub gear in the cold forging process. In order to manufacture the cold forged product for the precision hub gear used as the ARD 370 system of bicycle, it examines the influences of different designs on the metal flow through experiments and FE-simulation. To find the combination of design parameters which minimize the damage value, the low gear length, upper gear length and inner diameter as design parameters are considered. An orthogonal fraction factorial experiment is employed to study the influence of each parameter on the objective function or characteristics. The optimal punch shape of fine tooth hub gear is designed using the results of FE-simulation and the artificial neural network. To verify the optimal punch shape, the experiments of the cold forging of the hub gear are executed.