论文标题
单位正常损失损失积分的封闭式解决方案在二维中
Closed-Form Solution of the Unit Normal Loss Integral in Two-Dimensions
论文作者
论文摘要
在信息的价值（VOI）分析中，单位正常损耗积分（UNLI）经常作为计算各种VOI指标的解决方案。但是，UNLI的一个局限性是仅适用于一个维度的封闭形式解决方案，因此可以用于仅涉及两种策略的比较（将其应用于标量增量净益处）。我们得出了二维Unli的封闭式解决方案，为三种策略提供了封闭形式的VOI计算。我们通过模拟研究验证了该方法的准确性。基于三臂临床试验的案例研究被用作例子。现在，基于UNLI的封闭形式解决方案的VOI方法现在可以扩展到三个决策比较，以一秒钟的时间进行计算，而不受蒙特卡洛误差的约束。此方法的实现是作为Predtools软件包（https://github.com/resplab/predtools/）的一部分提供的。
In Value of Information (VoI) analysis, the unit normal loss integral (UNLI) frequently emerges as a solution for the computation of various VoI metrics. However, one limitation of the UNLI has been that its closed-form solution is available for only one dimension, and thus can be used for comparisons involving only two strategies (where it is applied to the scalar incremental net benefit). We derived a closed-form solution for the two-dimensional UNLI, enabling closed-form VoI calculations for three strategies. We verified the accuracy of this method via simulation studies. A case study based on a three-arm clinical trial was used as an example. VoI methods based on the closed-form solutions for the UNLI can now be extended to three-decision comparisons, taking a fraction of a second to compute and not being subject to Monte Carlo error. An R implementation of this method is provided as part of the predtools package (https://github.com/resplab/predtools/).
