• Title/Summary/Keyword: Statistical design

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Robust Designs to Outliers for Response Surface Experiments

  • Jeong B. Yoo;Park, Sung H.
    • Journal of the Korean Statistical Society
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    • v.20 no.2
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    • pp.147-155
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    • 1991
  • This paper treats a robust design criterion which minimizes the effects of outliers and model inadequacy, and investigates robust designs for some response surface designs. In order to develop a robust design criterion and robust design, the integrated mean squared error of *(equation omitted) over a region is utilized, where *(equation omitted). is the estimated response by the minimum bias estimation proposed by carson, Manson and Hader (1969) . According to the number of aberrant observations and their positions, the proposed criterion and designs are studied. Also further development of the proposed criterion is treated when outliers can occur in any position of a design.

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Search Design of Resolution III.2 for $3^n,n=4,5,6^+$

  • Um, Jung-Koog
    • Journal of the Korean Statistical Society
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    • v.17 no.2
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    • pp.134-145
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    • 1988
  • The basic conditions for a parallel-flats fraction to be a search design of Resolution III.2 have been developed in Um (1980, 1981, 1983, 1984). In this paper, a series of resolution III.2 search designs for $3^n, n=4, 5, 6$, are presented.

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Conditional Signed-Rank Test for the Tree Alternatives in the Randomized Block Design

  • Yang, Wan-Youn
    • Communications for Statistical Applications and Methods
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    • v.6 no.1
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    • pp.159-168
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    • 1999
  • We introduce a new conditional signed-rank test for the tree alternatives comparing several treatments with a control in the randomized block design. We demonstrate its performance by comparing with 3 classes of signed-rank tests proposed by Park et al.(1991) in some general situations. In most cases the proposed procedure is simpler to compute and has better power than others.

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An Economic-Statistical Design of Moving Average Control Charts

  • Yu, Fong-Jung;Chin, Hsiang;Huang, Hsiao Wei
    • International Journal of Quality Innovation
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    • v.7 no.3
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    • pp.107-115
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    • 2006
  • Control charts are important tools of statistical quality control. In 1956, Duncan first proposed the economic design of $\bar{x}-control$ charts to control normal process means and insure that the economic design control chart actually has a lower cost, compared with a Shewhart control chart. An moving average (MA) control chart is more effective than a Shewhart control chart in detecting small process shifts and is considered by some to be simpler to implement than the CUSUM. An economic design of MA control chart has also been proposed in 2005. The weaknesses to only the economic design are poor statistics because it dose not consider type I or type II errors and average time to signal when selecting design parameters for control chart. This paper provides a construction of an economic-statistical model to determine the optimal parameters of an MA control chart to improve economic design. A numerical example is employed to demonstrate the model's working and its sensitivity analysis is also provided.

Research on the Influences of New Product Design and New Product Development Process Management on New Product Development Performance in Taiwan's Industries

  • Liu, Pang-Lo;Tsai, Chih-Hung
    • International Journal of Quality Innovation
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    • v.10 no.1
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    • pp.89-105
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    • 2009
  • This study aims to probe into the influence of new product design and new product development process management on development performance. The research finding demonstrates that product design reveals positive and significant influence on new product development performance. Through statistical analysis, this study finds that companies in Taiwan value new product design. When companies value it more, they tend to have better new product development performance. With regard to the relation between new product development process management and new product development performance, the empirical results demonstrate that companies would pay more attention on new product development process management. With regard to new product idea and assessment, concept design and development, product function test and mass production in the market, through statistical analysis, this study finds that companies that value process management of new product development tend to have better new product development performance. As to the influence of new product design and new product process management on new product development performance, statistical analysis result demonstrates that the integration between new product design valued by companies in Taiwan and development process management would lead to significantly positive influence on new product development performance of the companies.

Economic-Statistical Design of VSSI$\bar{X}$ Control Charts Considering Two Assignable Causes (두 개의 이상원인을 고려한 VSSI$\bar{X}$ 관리도의 경제적-통계적 설계)

  • Lee, Ho-Joong;Lim, Tae-Jin
    • Journal of Korean Institute of Industrial Engineers
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    • v.31 no.1
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    • pp.87-98
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    • 2005
  • This research investigates economic-statistical characteristics of variable sampling size and interval (VSSI)$\bar{X}$charts under two assignable causes. A Markov chain approach is employed in order to calculate average run length (ARL) and average time to signal (ATS). Six transient states are derived by carefully defining the state. A steady state cost rate function is constructed based on Lorenzen and Vance(1986) model. The cost rate function is optimized with respect to six design parameters for designing the VSSI $\bar{X}$ charts. Computational experiments show that the VSSI $\bar{X}$ chart is superior to the Shewhart $\bar{X}$ chart in the economic-statistical sense, even under two assignable causes. A comparative study shows that the cost rate may increase up to almost 30% by overlooking the second cause. Critical input parameters are also derived from a sensitivity study and a few guideline graphs are provided for determining the design parameters.

Microstructure Characterization of TiO2 Photoelectrodes for dyesensitized Solar Cell using Statistical Design of Experiments

  • Lee, Sung-Joon;Cho, Il-Hwan;Kim, Hyun-Wook;Hong, Sang-Jeen;Lee, Hun-Yong
    • Transactions on Electrical and Electronic Materials
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    • v.10 no.5
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    • pp.177-181
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    • 2009
  • Employing statistical design of experiments, we have performed studies on the characterization of electrodes using $TiO_2$ and process variables in the fabrication process of nanocrystalline dye sensitized solar cell. Systematic experiment to identify the effects of process variables on cell's efficiency has based on broad-band absorption of light by tailor made organometallic dye molecules dispersed on a high surface of $TiO_2$. Employing statistical design of experiment on $TiO_2$ photoelectrode forming process, structural characterization of electrodes and process variable have been investigated. Through the statistical analysis we have found that the particle size of $TiO_2$ and the amount of PEG/PEO are significantly affecting on the cell efficiency. In addition, a significant amount of interaction exists between the particle size and the amount of PEG/PEO.

Systemic Statistical Optimization of Astaxanthin Inducing Methods in Haematococcus pluvialis cells -Statistical Optimization of Astaxanthin Production in Haematococcus

  • Kim, Sun-Hyoung;Jeong, Sung Eun;Hong, Seong-Joo;Lee, Choul-Gyun
    • Journal of Marine Bioscience and Biotechnology
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    • v.6 no.1
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    • pp.31-40
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    • 2014
  • The production of astaxanthin in the microalga Haematococcus pluvialis has been investigated using a sequential methodology based on the application of two types of statistical designs. The employed preliminary experiment was a fractional factorial design $2^6$ in which the factors studied were: excessive irradiance and nitrate starvation, phosphate deficiency, acetate supplementation, salt stress, and elevated temperature. The experimental results indicate that the amount of astaxanthin accumulation in the cells can be enhanced by excessive irradiance and nitrate starvation whereas the other factors tested did not yield any enhancement. In the subsequent experiment, a central composite design was applied with four variables, light intensity, nitrate, phosphate, and acetate, at five levels each. The optimal conditions for the highest astaxanthin production were found to be $1040{\mu}E/(m^2{\cdot}s)$ light intensity, 0.04 g/L nitrate, 0.31 g/L phosphate, 0.05 g/L acetate concentration.

Beyond robust design: an example of synergy between statistics and advanced engineering design

  • Barone, Stefano;Erto, Pasquale;Lanzotti, Antonio
    • International Journal of Quality Innovation
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    • v.3 no.2
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    • pp.13-28
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    • 2002
  • Higher efficiency and effectiveness of Research & Development phases can be attained using advanced statistical methodologies. In this work statistical methodologies are combined with a deterministic approach to engineering design. In order to show the potentiality of such integration, a simple but effective example is presented. It concerns the problem of optimising the performances of a paper helicopter. The design of this simple device is not new in quality engineering literature and has been mainly used for educational purposes. Taking full advantage of fundamental engineering knowledge, an aerodynamic model is originally formulated in order to describe the flight of the helicopter. Screening experiments were necessary to get first estimates of model parameters. Subsequently, deterministic evaluations based on this model were necessary to set up further experimental phases needed to search (or a better design. Thanks to this integration of statistical and deterministic phases, a significant performance improvement is obtained. Moreover, the engineering knowledge かms out to be developed since an explanation of the “why” of better performances, although approximate, is achieved. The final design solution is robust in a broader sense, being both validated by experimental evidence and closely examined by engineering knowledge.

Thermal Margin Analysis of the Korea Nuclear Unit 1 Reactor Core Consisting of Standard or Optimized Fuel Assemblies (표준 핵연료집합체 또는 최적 핵연료집합체가 장전된 원자력 1호기 원자로심의 열적여유도 분석)

  • Hyun Koon Kim;Ki In Han
    • Nuclear Engineering and Technology
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    • v.16 no.3
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    • pp.155-160
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    • 1984
  • Analyzed is the thermal margin of the Korea Nuclear Unit 1 (KNU-1) reactor core consisting of either 14 x 14 standard fuel assemblies (SFA) or optimized fuel assemblies (OFA). Employed for the analysis are two different thermal design methods; traditional and statistical thermal design method. Compared to the traditional design thermal method, the statistical thermal design method improves the core thermal margin utilizing best-estimate values for the core operating parameters combining their uncertainties in a statistical manner. Calculations are performed using a steady state and transient thermal-hydraulic analysis computer program, COBRA-IV-i. Calculated results show that the statistical thermal design method significantly improves the thermal margin and satisfies the core thermal design base of the KNU-1 SFA and OFA core. However, the thermal design base can not be met, if the traditional thermal design method is employed for the OFA role analysis.

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