Ye Fei, Shyr Yu
Division of Cancer Biostatistics, Department of Biostatistics, Vanderbilt University School of Medicine, Nashville, TN, USA.
Clin Trials. 2007;4(5):514-24. doi: 10.1177/1740774507084102.
Oncology phase II clinical trials are often designed using Simon's two-stage designs (optimal and 'minimax') for independent observations. Simon's designs do not include the use of correlated observations, and do not balance the sample sizes of the two stages. In these designs, the sample sizes of the two stages can be highly unequal. In certain circumstances, an alternative design option that balances the sample sizes is desirable.
To develop a two-stage phase II design that balances the sample sizes of the first and the second stages, while controlling for type I and type II error rates.
We simulated designs based on response rates under various null and alternative hypotheses, type I and type II error constraints, and the degree of correlation in the case of correlated data. For correlated data, Sargent's method is adopted to account for the loss of information due to intra-person correlation.
Design characteristics for different parameter settings were generated using balanced design method, separately for independent and correlated data. Results were evaluated and compared to the optimal and minimax design.
For correlated data, designs were produced only for trials with half of the participants having one observation and the other half having two. Also, the degree of intra-person correlation was fixed at three levels.
The balanced design provides an additional choice for two-stage phase II trials when the investigators would like to monitor the trial near a study's halfway point. Meanwhile, its total sample sizes are comparable with Simon's designs.
肿瘤学II期临床试验通常采用西蒙两阶段设计(最优设计和“极小极大”设计)进行独立观察。西蒙的设计未考虑相关观察值的使用,也未平衡两个阶段的样本量。在这些设计中,两个阶段的样本量可能极不均衡。在某些情况下,需要一种能平衡样本量的替代设计方案。
开发一种两阶段II期设计,在控制I型和II型错误率的同时,平衡第一阶段和第二阶段的样本量。
我们基于各种原假设和备择假设下的缓解率、I型和II型错误约束以及相关数据情况下的相关程度来模拟设计。对于相关数据,采用萨金特方法来考虑因个体内相关性导致的信息损失。
分别针对独立数据和相关数据,使用平衡设计方法生成了不同参数设置下的设计特征。对结果进行了评估,并与最优设计和极小极大设计进行了比较。
对于相关数据,仅针对一半参与者有一次观察、另一半有两次观察的试验生成了设计。此外,个体内相关程度固定为三个水平。
当研究者希望在研究接近中点时监测试验时,平衡设计为两阶段II期试验提供了额外选择。同时,其总样本量与西蒙的设计相当。