Informative simultaneous confidence intervals for the fallback procedure
Informative simultaneous confidence intervals for the fallback procedure
复制标题
后备程序的信息丰富的同时置信区间
DOI：
10.1002/bimj.201400183
复制
发表时间：
2015
影响因子：
1.7
通讯作者：
Brannath W
中科院分区：
文献类型：
--
作者：
Schmidt S;Brannath W
回退过程是分层测试过程的扩展，放松了预定义的分层顺序。例如，它可以应用于剂量发现研究。如果有兴趣将回退程序扩展到同时的置信区间，可以在文献中找到建议，然而，这些建议的缺点是可能会出现非信息性拒绝。非信息性拒绝意味着被拒绝的零假设的置信区间包含替代的所有参数，因此没有给出关于效果参数的真实值的有用信息。我们提出了一个修改的回退程序与相应的同时置信区间，这是信息在每一种情况下，假设被拒绝。其主要思想是在零假设和一组嵌套的信息假设之间划分层次。分裂权值连续依赖于参数。该方法用一个简单的图来表示，可以很容易地通过显式算法实现。我们给出了一个例子，并将我们的方法与现有的通过模拟在剂量寻找临床试验背景下的同时置信区间的回退程序的扩展进行了比较。结果表明，信息回退过程可以完全消除非信息拒绝问题，而所涉及的功率损失可以通过仔细规划来控制。
The fallback procedure is an extension of the hierarchical test procedure relaxing the predefined hierarchical order. It can be applied for example in dose‐finding studies. If interest is in extending the fallback procedure to simultaneous confidence intervals, one finds proposals in the literature, which have, however, the drawback that noninformative rejections may arise. A noninformative rejection means that the confidence interval of a rejected null hypothesis contains all parameters of the alternative and thus gives no useful information about the true value of the effect parameter. We present a modification of the fallback procedure with corresponding simultaneous confidence intervals that is informative in every case where a hypothesis is rejected. The main idea consists of splitting the level between the null hypotheses and a nested family of informative hypotheses constituting the alternative. The splitting weights depend continuously on the parameter. The new method is represented by a simple graph and can be easily implemented by an explicit algorithm. We give an example and compare our approach with an existing extension of the fallback procedure to simultaneous confidence intervals by simulations in the context of a dose‐finding clinical trial. As a result, we see that the problem of noninformative rejections can be completely removed by the informative fallback procedure, while the involved power loss can be controlled by careful planning.
影响因子：
1.1
作者：
Wiens, BL;Dmitrienko, A
通讯作者：
Dmitrienko, A
影响因子：
1.7
作者：
Schmidt, S.;Brannath, W.
通讯作者：
Brannath, W.
影响因子：
2
作者：
Brannath, Werner;Schmidt, Sylvia
通讯作者：
Schmidt, Sylvia