• 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.

• The Korean Journal of Applied Statistics
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• v.18 no.1
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• pp.159-171
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• 2005

The US Food and Drug Administration(FDA) recommends that population bioequivalence and individual bioequivalence would be assessed to address the prescribability and switchability between a brand-name drug and its new formulation or generic copy in its 2001 guidance document. The test for population bioequivalence in the latest FDA guidance is recommended in 2 x 4 crossover design, but it turns out to be very conservative. Recently Lee, Shao & Chow(2002), Chow, Shao & Wang(2003) and McNally, Iyer & Mathew(2002) proposed new statistical methods for assessing population bioequivalence between drugs to correct the biasness of current FDA method. Since 2 x 2 crossover experiment is most welcomed design in bioequivalence testing, we adopt their methods to 2 x 2 crossover designs and compare their methodologies with FDA one through the simulation study.

• The Korean Journal of Applied Statistics
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• v.24 no.1
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• pp.161-167
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• 2011

The primary variables are often systematically related to other influences apart from drug effect. For instance, there may be relationships to covariates such as health conditions or prognostic factors. When a $2{\times}2$ crossover experiment for bioequivalence is designed, the statistical adjustment for the influence of covariates should be considered if some covariates influence the drug effect. Statistical inference for assessing average bioequivalence for a $2{\times}2$ crossover design with covariates is given and an illustrated example is presented with discussion.

• 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.

• Journal of Pharmaceutical Investigation
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• v.25 no.1
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• pp.63-63
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• 1995

• Journal of Pharmaceutical Investigation
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• v.25 no.1
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• pp.77-82
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• 1995

• Journal of Pharmaceutical Investigation
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• v.25 no.1
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• pp.71-76
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• 1995

• Korean Journal of Clinical Pharmacy
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• v.15 no.2
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• pp.160-164
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• 2005

수마트립탄은 뇌혈관에 분포되어 있는 5-HT1B/1D수용체에 특이적이고 선택적으로 작용하여 뇌혈관 수축 작용을 나타내어 편두통의 치료에 널리 쓰이는 약물이다. 본 연구는 수마트립탄 제제인 이미그란(50 mg tablet, GSK사)을 대조약으로 하여 시험약인 명인 제약의 수마트란 50mg정의 생물학적 동등성 평가를 하기 위해 22명의 건강한 지원자를 모집하였다. 지원자를 두 군으로 나누어 1정씩 투여하였고 $2{\times}2$ 교차시험을 실시하였다. 수마트립탄의 혈장 중의 농도를 정량하기 위하여 발리데이션된 HPLC/FD를 사용하였다. 채혈 시간은 투약 전 및 투약 후 0.5, 1, 1.5, 2, 2.5, 3,4, 5, 7, 9, 12시간에 걸쳐 총 12시점에 걸쳐 시행하였다. 생물학적 동등성을 판정하기 위한 파라미터로 12시간까지의 혈장 중 농도 곡선 하 면적$(AUC_{12hr})$ 최고 혈중 농도$(C_{max})$를 사용하였다. $AUC_{12hr}$의 평균은 $137.87ng{\cdot}ml/hr$(시험약)과 $130.12ng{\cdot}ml/hr$(대조약)으로 나타났다. $C_{max}$의 경우 각 각 29.30 ng/ml(시험약)과 29.25ng/m1(대조약)으로 관찰되었다. $AUC_{12hr}$의 경우 로그변환 한 평균치 차의 90% 신뢰구간이 log0.95-log1.24이었고, $C_{max}$의 경우 log0.90-log1.149로 계산되 어 두 항목 모두 log0.8-log1.25이어야 한다는 식품의 약품 안전청 과 FDA의 기준을 모두 만족시켰다. 이상의 결과를 종합하면 시험약 수마트란 정 50 mg은 대조약 이미그란 정 50 mg에 대하여 생물학적으로 동등한 것으로 판정되었다.

• 대한임상약리학회:학술대회논문집
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• 1999.12a
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• pp.24-24
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• 1999

• Journal of the Korean Data and Information Science Society
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• v.28 no.4
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• pp.743-754
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• 2017

Assessing bioequivalence between original drug and generic drug is traditionally based on $2{\times}2$ crossover design. As bioequivalence trials for highly variable drugs are getting popular, the required sample size based on $2{\times}2$ crossover design would be very large, which might cause the ethical concerns. Regulatory agencies like EMA and MFDS recommended higher order crossover designs such as $2{\times}4$, $4{\times}2$ and $4{\times}4$ crossover designs. Alternatively, a $2{\times}3$ dual design may be recommended in terms of economical and ethical points of view in comparison with the $2{\times}4$ crossover design for highly variable drug. In this study, we consider some statistical characteristics of $2{\times}3$ dual design and propose statistical procedures for calculating sample size and assessing bioequivalence based on $2{\times}3$ dual design. We also discuss the proposed procedures from the perspective of newly revised bioequivalence guidance issued by MFDS.