• Title/Summary/Keyword: $3\times3$ 교차설계법

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Some Statistical Considerations on 2×k Crossover Designs for Bioequivalence Trial (생물학적 동등성 시험을 위한 2×k 교차설계법의 통계적 고려)

  • Noh, So-Young;Park, Sang-Gue
    • The Korean Journal of Applied Statistics
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    • v.26 no.4
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    • pp.675-686
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    • 2013
  • The Korea Food and Drug Administration(KFDA) recommends the use of a $2{\times}2$ crossover design to assess the bioequivalence of generic drugs. However, a standard $2{\times}2$ crossover design for bioequivalence trials is often considered problematic due to ethical and economic issues as highly variable drugs are usually required by large numbers of subjects when designing the trial. To overcome this problem a $2{\times}4$ crossover design has been a recommended option as per US regulations; in addition, a $2{\times}3$ crossover design has also recently drawn special attention as an efficient alternative. The current KFDA regulation requires an ANOVA table for every bioequivalence study; however, ANOVA tables of $2{\times}4$ and $2{\times}3$ crossover designs have never been published in the literature. This study shows the derivation of tables of analysis of variance for a $2{\times}4$ cross-over design and a $2{\times}3$ cross-over design. We also suggest a sample size formulas for $2{\times}2$, $2{\times}4$ and $2{\times}3$ crossover designs to provide information on the selection of efficient designs for highly variable drugs.

Assessing Bioequivalence in $3\times3$ Cross-over Design with Unbalanced Data (불균형 자료의 $3\times3$ 교차설계법에서 생물학적 동등성 평가)

  • 임남규;박상규
    • The Korean Journal of Applied Statistics
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    • v.14 no.2
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    • pp.345-355
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    • 2001
  • 동일한 유효성분을 가지면서 용량 혹은 형식 만이 다른 제제의 개발이 증가되고 이에 따른 두 제제 이상의 생물학적 동등성시험의 필요성이 제기되었다. 이에 이용주 등(1998)은 온단세트론 제제에 대한 생물학적 동등시험에서 3$\times$3 교차설계법을 적용하였다. 그러나 3$\times$3 교차설계법에서 각 순서에 피험자의 수가 다르거나 실험중에 결락(dropout)되는 피험자가 발생하는 경우에는 일반적인 통계적 방법은 적용할 수 없었다. 본 연구에서는 이러한 경우에 제제효과의 추론에 대한 통계적 방법과 생물학적 동등성 시험 방법을 제안하고 모의실험을 통하여 생물학적 동등성평가의 정도를 측정하였다.

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Assessing bioequivalence for highly variable drugs based on 3×3 crossover designs (고변동성 제제의 생물학적 동등성 평가에서 3×3 교차설계법 연구)

  • Park, Ji-Ae;Park, Sang-Gue
    • The Korean Journal of Applied Statistics
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    • v.29 no.2
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    • pp.279-289
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    • 2016
  • Bioequivalence trials based on higher order crossover designs have recently been conducted for highly variable drugs since the Ministry of Korea Food and Drug Safety (MFDS) added new regulations in 2013 to widen bioequivalence limits for highly variable drugs. However, a statistical discussion of higher order crossover designs have not been discussed yet. This research proposes the statistical inference of bioequivalence based on $3{\times}3$ crossover design and discusses it with the MFDS regulations. An illustrated example is also given.

Statistical procedures of add-on trials for bioequivalence in 2×k crossover designs (2×k 교차설계법에서 생물학적 동등성 추가시험의 통계적 절차)

  • Woo, Hwahyoung;Park, Sang-Gue
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.6
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    • pp.1181-1193
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    • 2014
  • Currently Ministry of food and drug safety allows add-on trial when the bioequivalence between two drugs fails to show since July 1, 2008. However, bioequivalence of highly variable drugs based on $2{\times}2$ crossover designs would require too many subjects, so the alternative designs like $2{\times}4$ or $2{\times}3$ crossover experiments are preferred. In this paper, we propose and discuss the statistical procedures for add-on trials in $2{\times}4$ and $2{\times}3$ crossover designs.

Individual Bioequivalence Tests under 3 X 2 Design (3 X 2 교차설계법에서 개인 생물학적 동등성 검정)

  • Jung, Gyu-Jin;Lim, Nam-Kyoo;Park, Sang-Gue
    • The Korean Journal of Applied Statistics
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    • v.23 no.1
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    • pp.139-150
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    • 2010
  • In recent years, more generic drug products became available. The current regulation for assessing the bioequivalence of two drug formulations is based on the concept of average bioequivalence. This approach has been indicated to be insufficient for assessing switchability between two drug formulations and US FDA has adopted individual bioequivalence as one of the bioequivalence criterion since 2001. The US FDA recommends that individual bioequivalence be assessed based on $2\;{\times}\;4$ crossover design, while a $2\;{\times}\;3$ crossover design may be used as an alternative design to reduce the length and cost of the study. In this paper, a statistical procedure for assessment of individual bioequivalence under $3\;{\times}\;2$ crossover designs is proposed and some statistical points are discussed with $2\;{\times}\;3$ crossover design and $2\;{\times}\;3$ extra-reference design through simulation studies.

Statistical Analysis of Bioequivalence Study in $3{\times}2$ Crossover Design ($3{\times}2$ 교차설계법에서 생물학적 동등성 시험의 통계분석)

  • Park, Sang-Gue;Kim, Jeong-Il;Chae, Sung-San;Ko, Seoung-Gon;Oh, Hyun-Sook;Yang, Wan-Youn;Kim, Dong-Sup;Choi, Young-Wook
    • Journal of Pharmaceutical Investigation
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    • v.28 no.4
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    • pp.231-239
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    • 1998
  • A $3{\times}2$ crossover design is considered for the bioequivalence of two test formulations with a control. It could be considered as a better choice over $3{\times}3$ crossover design because of the cost and experimental duration. Oh et al.(1998) derived $3{\times}2$ crossover design and discussed its benefits over the typical crossover designs. We consider here the statistical models for $3{\times}2$ crossover design and show its statistical properties. The statistical procedures for the bioequivalence in $3{\times}2$ crossover design are shown through an example and the results are summarized by satisfying the 3 standards that proposed by the Korea Food and Drug Administration Guidelines for Bioequivalence.

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A Study on the Searching Behavior of OPAC Users (온라인 열람목록의 이용행태에 관한 연구)

  • Sakong Bok-Hee
    • Journal of the Korean Society for Library and Information Science
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    • v.31 no.3
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    • pp.165-208
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    • 1997
  • The purpose of this study is to evaluate the characteristics of user interface that affect the searching behavior of OPAC users. and then to propose how to design user-friendly interfaces of OPACS. An experiment was conducted on two systems with different interfaces to grasp the effect of user interface to search process and search outcome. A $2\times2$ cross-over design was used for the experiment. Sixty five searchers participated in the experiment. Several statistical techniques such as carry-over effect and system effect of a $2\times2$ cross-over design, $\chi^2$ test, t- test, McNemar test, test of marginal homogeneity through maximum likelihood method, factor analysis, regression analysis, and analysis of variance were applied according to the hypotheses tested and the data analyzed.

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Health Approaches for Weight Perception and Weight Loss Efforts in Hypertensive Patients with Obesity: The 2016-2019 Korea National Health and Nutrition Examination Survey

  • Sang-Dol, Kim;Young-Ran, Yeun
    • Journal of the Korea Society of Computer and Information
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    • v.28 no.3
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    • pp.101-110
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    • 2023
  • This study was conducted to identify factors influencing weight loss efforts in hypertensive patients with obesity in Korea using data from the 2016-2019 National Health and Nutrition Examination Survey. Weight perception, weight loss efforts, and weight control methods were investigated for 1,910 subjects. Data were analyzed using descriptive analysis, cross-tabulation analysis and logistic regression. Among obese hypertensive patients, 12.6% perceived their weight as normal. Weight loss efforts were 2.03 times (95% CI: 1.48 to 2.78) higher in people with overweight perception than those with normal weight perception, and 1.74 times (95% CI: 1.33 to 2.26) higher in women than in men. In addition, those with class 1 obesity were 1.50 times (95% CI: 0.85 to 2.65) higher than those with class 3 obesity, and those with class 2 obesity were 2.16 times (95% CI: 1.16 to 4.00) higher than those with class 3 obesity. These results suggest that weight management approaches for hypertensive patients with obesity should be individually designed according to weight perception, gender, and obesity class.

Fabrication of Small SOFC Stack Based on Anode-Supported Unit Cells and Its Power Generating Characteristics (음극지지형 단전지를 사용한 소형 SOFC 스택의 제조 및 출력특성)

  • Jung, Hwa-Young;Kim, Woo-Sik;Choi, Sun-Hee;Kim, Joosun;Lee, Hae-Weon;Ko, Haengjin;Lee, Ki-Chun;Lee, Jong-Ho
    • Journal of the Korean Ceramic Society
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    • v.41 no.10 s.269
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    • pp.777-782
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    • 2004
  • In this research, $5\times5cm^2$ unit cells were fabricated via liquid condensation process and uniaxial pressing followed by the screen printing of electrolyte and cathode layer. The SOFC stack was assembled with unit cells, gasket-type sealant and metal interconnect. The stack was designed to have a single column with internal-manifold and cross-flow type gas-channels. The SOFC stack produced 15 W, which is $50\%$ of the maximum power being expected from the maximum power density of the unit cell. Controlling factors for the proper operation of the SOFC stack and other designing factors of stack manifold and gas channels were discussed.

Design of Internal Coupling Structure for Touch Panel Devices Using Optical Coupling of a Pen-Shaped Light Source with Optical Waveguides (광원을 내장한 펜의 출력광과 광 도파로의 광 결합을 이용하는 터치 패널 장치의 내부 광 결합 구조 설계)

  • Park, Dae-Seo;Kim, Dae-Jong;O, Beom-Hoan;Park, Se-Geun;Lee, El-Hang;Lee, Seung-Gol
    • Korean Journal of Optics and Photonics
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    • v.20 no.2
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    • pp.128-133
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    • 2009
  • In this paper, an optical touch panel device is newly proposed, with operating principle based on the optical coupling between a pointing pen having a built-in light source and perpendicularly crossed optical waveguide arrays. In order to enable an external light to couple into a waveguide core, the auxiliary pyramidal structures are introduced into all intersecting points located periodically along optical waveguides. The shape is optimized for minimizing the unwanted propagation loss due to the same structure by a ray tracing method. For the optical waveguide with the size of $50{\times}50{\mu}m^2$, the bottom width, height, and slope angle of the optimized pyramidal structure are $50{\mu}m$, $22.5{\mu}m$, and $42^{\circ}$, respectively. The optical coupling efficiency of about 97.8% and the average propagation loss of 0.3 dB/mm were achieved for the optimized touch panel. Finally, it is found from the tolerance analysis that tilting of the pen up to ${\pm}12^{\circ}$ can be allowed.