Henderson Robin, Ansell Phil, Alshibani Deyadeen
Mathematics & Statistics, Newcastle University, UK.
Biometrics. 2010 Dec;66(4):1192-201. doi: 10.1111/j.1541-0420.2009.01368.x.
We consider optimal dynamic treatment regime determination in practice. Model building, checking, and comparison have had little or no attention so far in this literature. Motivated by an application on optimal dosage of anticoagulants, we propose a modeling and estimation strategy that incorporates the regret functions of Murphy (2003, Journal of the Royal Statistical Society, Series B 65, 331-366) into a regression model for observed responses. Estimation is quick and diagnostics are available, meaning a variety of candidate models can be compared. The method is illustrated using simulation and the anticoagulation application.
我们考虑在实际中确定最优动态治疗方案。到目前为止，该文献中对模型构建、检验和比较几乎没有关注。受抗凝剂最佳剂量应用的启发，我们提出了一种建模和估计策略，将墨菲（2003年，《皇家统计学会杂志》，B辑65卷，331 - 366页）的遗憾函数纳入观察响应的回归模型中。估计速度快且可进行诊断，这意味着可以比较各种候选模型。通过模拟和抗凝应用对该方法进行了说明。
