Al-Saidy Obaid M, Piegorsch Walter W, West R Webster, Nitcheva Daniela K
Department of Mathematics and Statistics, Sultan Qaboos University, Muscat, Oman.
Biometrics. 2003 Dec;59(4):1056-62. doi: 10.1111/j.0006-341x.2003.00121.x.
We study the use of simultaneous confidence bands for low-dose risk estimation with quantal response data, and derive methods for estimating simultaneous upper confidence limits on predicted extra risk under a multistage model. By inverting the upper bands on extra risk, we obtain simultaneous lower bounds on the benchmark dose (BMD). Monte Carlo evaluations explore characteristics of the simultaneous limits under this setting, and a suite of actual data sets are used to compare existing methods for placing lower limits on the BMD.
我们研究了使用同时置信带对具有定量反应数据的低剂量风险进行估计,并推导了在多阶段模型下估计预测额外风险的同时上置信限的方法。通过反转额外风险的上带,我们获得了基准剂量(BMD)的同时下限。蒙特卡罗评估探索了在此设置下同时置信限的特征,并使用一组实际数据集来比较现有的确定BMD下限的方法。