Sun Hengrui, Kawaguchi Atsushi, Koch Gary
Department of Biostatistics, Gillings School of Global Public Health, University of North Carolina at Chapel Hill, Chapel Hill, NC, USA.
Department of Biomedical Statistics and Bioinformatics, Kyoto University Graduate School of Medicine, Sakyo-ku, Kyoto, Japan.
Pharm Stat. 2017 Mar;16(2):157-166. doi: 10.1002/pst.1799. Epub 2017 Jan 11.
Confirmatory randomized clinical trials with a stratified design may have ordinal response outcomes, ie, either ordered categories or continuous determinations that are not compatible with an interval scale. Also, multiple endpoints are often collected when 1 single endpoint does not represent the overall efficacy of the treatment. In addition, random baseline imbalances and missing values can add another layer of difficulty in the analysis plan. Therefore, the development of an approach that provides a consolidated strategy to all issues collectively is essential. For a real case example that is from a clinical trial comparing a test treatment and a control for the pain management for patients with osteoarthritis, which has all aforementioned issues, multivariate Mann-Whitney estimators with stratification adjustment are applicable to the strictly ordinal responses with stratified design. Randomization based nonparametric analysis of covariance is applied to account for the possible baseline imbalances. Several approaches that handle missing values are provided. A global test followed by a closed testing procedure controls the family wise error rate in the strong sense for the analysis of multiple endpoints. Four outcomes indicating joint pain, stiffness, and functional status were analyzed collectively and also individually through the procedures. Treatment efficacy was observed in the combined endpoint as well as in the individual endpoints. The proposed approach is effective in addressing the aforementioned problems simultaneously and straightforward to implement.
采用分层设计的验证性随机临床试验可能具有有序反应结果,即有序类别或与区间尺度不兼容的连续测定值。此外,当单一终点不能代表治疗的整体疗效时,通常会收集多个终点。此外,随机基线不平衡和缺失值会给分析计划增加另一层难度。因此,开发一种能为所有问题提供综合策略的方法至关重要。对于一个来自比较试验治疗和对照治疗骨关节炎患者疼痛管理的临床试验的实际案例,该试验存在上述所有问题,具有分层调整的多变量曼 - 惠特尼估计器适用于分层设计的严格有序反应。基于随机化的非参数协方差分析用于处理可能的基线不平衡。提供了几种处理缺失值的方法。在对多个终点进行分析时,先进行全局检验,然后采用封闭检验程序在强意义上控制家族性错误率。通过这些程序对表明关节疼痛、僵硬和功能状态的四个结果进行了集体分析和单独分析。在综合终点以及各个终点均观察到了治疗效果。所提出的方法能有效同时解决上述问题且易于实施。