• Title/Summary/Keyword: Statistical design

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The Economic Design of VSS $\bar{x}$ Control Chart for Compounding Effect of Double Assignable Causes (두 가지 복합 이상원인 영향이 있는 공정에 대한 VSS$\bar{x}$관리도의 경제적 설계)

  • Sim Seong-Bo;Kang Chang-Wook;Kang Hae-Woon
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.27 no.2
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    • pp.114-122
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    • 2004
  • In statistical process control applications, variable sample size (VSS) $\bar{X}$ chart is often used to detect the assignable cause quickly. However, it is usually assumed that only one assignable cause results in the out-of-control in the process. In this paper, we propose the algorithm to minimize the function of cost per unit time and compare the economic design and the statistical design by use of the value of cost per unit time. We consider double assignable causes to occur with compound in the process and adopt the Markov chain approach to investigate the statistical properties of VSS $\bar{X}$ chart. A procedure that can calculate the control chart's parameters is proposed by the economic design.

Assessment of Bioequivalence with Dropout Subjects in 3$\times$3 and 3$\times$2 Crossover Design

  • Ko, seoung-gon;Oh, Hyun-Sook
    • Journal of the Korean Statistical Society
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    • v.29 no.2
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    • pp.219-229
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    • 2000
  • Oh et al.(1999) 3$\times$2 crossover design for assessing bioequivalence when two new generic drug formulations and innovator are simultaneously considered. This design is not only more efficient than 3$\times$3 one, proposed by Lee et al.(1998), in practical sense, but also more ethical in medical sense. However, the general statistical methods are not directly applicable to both designs when subjects are dropped out in the experiment, even though it is always possible in bioavailability and bioequivalence studies because of some administrative and economic reasons. In this research we propose an inference to drug effects when subjects are dropped out in the planed-for 3$\times$3 and 3$\times$2 crossover experiments. An example is given for illustration.

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Nonparametric Tests for 2×2 Cross-Over Design

  • Gee, Kyuhoon;Kim, Dongjae
    • Communications for Statistical Applications and Methods
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    • v.19 no.6
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    • pp.781-791
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    • 2012
  • A $2{\times}2$ Cross-over design is widely used in clinical trials for comparison studies of two kinds of drugs or medical treatments. This design has many statistical methods such as Hills-Armitage's (1979) method or Koch's (1972) method. In this paper, we propose a nonparametric test for $2{\times}2$ Cross-over design based on a two-sample test suggested by Baumgartner et al. (1998). In addition, a Monte Carlo simulation study is adapted to compare the power of the proposed methods with those of previous methods.

Application of Statistical Design of Experiments in the Field of Chemical Engineering: A Bibliographical Review (화학공학 분야에서 통계적 실험계획법 적용에 대한 서지 검토)

  • Yoo, Kye Sang
    • Applied Chemistry for Engineering
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    • v.31 no.2
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    • pp.138-146
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    • 2020
  • Design of experiments (DOE) is a method that has been applied in the industry to improve value for many decades. This study provides an overview of 115 cases of statistical DOE applications in the field of chemical engineering. All cases were published in important scientific journals for the last ten years. The applied design type, the experiment size, the number of factors and levels affecting the response variable, and the area of application for the design were all analyzed. Obviously, the number of publications related with statistical DOE increased over time.

Sample Design for Materials and Components Industry Trend Survey (부품.소재산업 동향 조사의 표본설계)

  • NamKung, Pyong
    • Communications for Statistical Applications and Methods
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    • v.15 no.6
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    • pp.883-897
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    • 2008
  • This paper provides correct informations inflecting the present situation using the sample design in population that the National Statistical Office puts in operation of the mining and manufacturing industry statistical survey in 2006. This paper proposes new sampling design which is able to grasp business fluctuations and provide basic data for the rearing policy and management of the material industry and components industry. These sample design are the modified cut-off method and multivariate Neyman allocation using principal components and sampling method is the probability proportional systematic sampling.

The Efficient Sensitivity Analysis on Statistical Moments and Probability Constraints in Robust Optimal Design (강건 최적설계에서 통계적 모멘트와 확률 제한조건에 대한 효율적인 민감도 해석)

  • Huh, Jae-Sung;Kwak, Byung-Man
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.32 no.1
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    • pp.29-34
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    • 2008
  • The efforts of reflecting the system's uncertainties in design step have been made and robust optimization or reliability-based design optimization are examples of the most famous methodologies. In their formulation, the mean and standard deviation of a performance function and constraints expressed by probability conditions are involved. Therefore, it is essential to effectively and accurately calculate them and, in addition, the sensitivity results are required to obtain when the nonlinear programming is utilized during optimization process. We aim to obtain the new and efficient sensitivity formulation, which is based on integral form, on statistical moments such as the mean and standard deviation, and probability constraints. It does not require the additional functional calculation when statistical moments and failure or satisfaction probabilities are already obtained at a design point. Moreover, some numerical examples have been calculated and compared with the exact solution or the results of Monte Carlo Simulation method. The results seem to be very satisfactory.

Statistical Mistakes Commonly Made When Writing Medical Articles (의학 논문 작성 시 발생하는 흔한 통계적 오류)

  • Soyoung Jeon;Juyeon Yang;Hye Sun Lee
    • Journal of the Korean Society of Radiology
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    • v.84 no.4
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    • pp.866-878
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    • 2023
  • Statistical analysis is an essential component of the medical writing process for research-related articles. Although the importance of statistical testing is emphasized, statistical mistakes continue to appear in journal articles. Major statistical mistakes can occur in any of the three different stages of medical writing, including in the design stage, analysis stage, and interpretation stage. In the design stage, mistakes occur if there is a lack of specificity regarding the research hypothesis or data collection and analysis plans. Discrepancies in the analysis stage occur if the purpose of the study and characteristics of the data are not sufficiently considered, or when an inappropriate analytic procedure is followed. After performing the analysis, the results are interpreted, and an article is written. Statistical analysis mistakes can occur if the underlying methods are incorrectly written or if the results are misinterpreted. In this paper, we describe the statistical mistakes that commonly occur in medical research-related articles and provide advice with the aim to help readers reduce, resolve, and avoid these mistakes in the future.

A Novel Framework for Optimal IC Design and Statistical Analysis (최적의 IC 설계와 통계적 분석을 위한 새로운 설계 환경)

  • 이재훈;김경호;김영길;김경화
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.31A no.3
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    • pp.77-86
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    • 1994
  • A New environment SENSATION for circuit optimization and statistical analysis has been developed. It provides real time simulation and includes automatic algorithms to assist for reaching optimal solution. Furthermore, statistical analysis environment is presented which aids in Monte Carlo analysis. worst case corner analysis, and sensitivity analysis. These capabilities faciliate the characterization of the effects of several operating conditions and manufacture process paramenters on the design performances. We verify that the proposed methods can obtain the optimal solution of the objective function through several experimental results.

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$p^{n-m}$ fractional Factorial Design Excluded SOme Debarred Combinations

  • Choi, Byoung-Chul;Kim, Hyuk-Joo
    • Communications for Statistical Applications and Methods
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    • v.7 no.3
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    • pp.759-766
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    • 2000
  • In order to design fractional factorial experiments which include some debarred combinations, we should select defining contrasts so that those combinations are to be excluded. Choi(1999) presented a method of selectign defining contrasts to construct orthogonal 3-level fractional factorial experiments which exclude some debarred combinations. In this paper, we extend Choi's method to general p-level fractional factorial experiments to select defining contrasts which cold exclude some debarred combinations.

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