Liu Qiao-lan, Shen Zhuo-zhi, Chen Feng, Li Xiao-song, Yang Min
School of Public Health, Sichuan University, Chengdu 610041, China.
Zhonghua Liu Xing Bing Xue Za Zhi. 2009 Dec;30(12):1302-6.
This study aims to explore the application value of multilevel models for bioequivalence evaluation. Using a real example of 2 x 4 cross-over experimental design in evaluating bioequivalence of antihypertensive drug, this paper explores complex variance components corresponding to criteria statistics in existing methods recommended by FDA but obtained in multilevel models analysis. Results are compared with those from FDA standard Method of Moments, specifically on the feasibility and applicability of multilevel models in directly assessing the bioequivalence (ABE), the population bioequivalence (PBE) and the individual bioequivalence (IBE). When measuring ln (AUC), results from all variance components of the test and reference groups such as total variance (sigma(TT)(2) and sigma(TR)(2)), between-subject variance (sigma(BT)(2) and sigma(BR)(2)) and within-subject variance (sigma(WT)(2) and sigma(WR)(2)) estimated by simple 2-level models are very close to those that using the FDA Method of Moments. In practice, bioequivalence evaluation can be carried out directly by multilevel models, or by FDA criteria, based on variance components estimated from multilevel models. Both approaches produce consistent results. Multilevel models can be used to evaluate bioequivalence in cross-over test design. Compared to FDA methods, this one is more flexible in decomposing total variance into sub components in order to evaluate the ABE, PBE and IBE. Multilevel model provides a new way into the practice of bioequivalence evaluation.
本研究旨在探讨多水平模型在生物等效性评价中的应用价值。以2×4交叉试验设计评估抗高血压药物生物等效性的实例,探讨美国食品药品监督管理局(FDA)推荐的现有方法中与标准统计量相对应的复杂方差分量,但这些方差分量是通过多水平模型分析获得的。将结果与FDA标准矩量法的结果进行比较,特别是比较多水平模型在直接评估生物等效性(ABE)、群体生物等效性(PBE)和个体生物等效性(IBE)方面的可行性和适用性。在测量ln(AUC)时,由简单二水平模型估计的试验组和参比组所有方差分量的结果,如总方差(sigma(TT)(2)和sigma(TR)(2))、个体间方差(sigma(BT)(2)和sigma(BR)(2))和个体内方差(sigma(WT)(2)和sigma(WR)(2)),与使用FDA矩量法得到的结果非常接近。在实际应用中,生物等效性评价既可以基于多水平模型估计的方差分量直接通过多水平模型进行,也可以通过FDA标准进行。两种方法产生的结果一致。多水平模型可用于交叉试验设计中的生物等效性评价。与FDA方法相比,该方法在将总方差分解为子分量以评估ABE、PBE和IBE方面更加灵活。多水平模型为生物等效性评价实践提供了一种新方法。