Treatment recommendations based on Network Meta-Analysis: rules for risk-averse decision-makers

Anthony E Ades, Hugo Pedder, Annabel L Davies, Howard Thom, David M Phillippo, Beatrice Downing, Deborah M Caldwell, Nicky J. Welton
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Abstract

ABSTRACT Background: The treatment recommendation based on a Network Meta-analysis (NMA) is usually the single treatment with the highest Expected Value (EV) on an evaluative function. We explore approaches which recommend multiple treatments and which penalize uncertainty, making them suitable for risk-averse decision makers. Methods: We introduce Loss-adjusted EV (LaEV) and compare it to GRADE and three probability-based rankings. We define the properties of a valid ranking under uncertainty and other desirable properties of ranking systems. A two-stage process is proposed: the first selects treatments superior to the reference treatment; the second identifies those that are also within a Minimal Clinically Important Difference (MCID) of the best treatment. Decision rules and ranking systems are compared on stylized examples and 10 NMAs used in NICE Guidelines. Results: Only LaEV reliably delivers valid rankings under uncertainty and has all the desirable properties. In 10 NMAs comparing between 4 and 40 treatments, an EV decision maker would recommend 4-14 treatments, and LaEV 0-3 (median 2) fewer. GRADE rules give rise to anomalies, and, like the probability-based rankings, the number of treatments recommended depends on arbitrary probability cutoffs. Among treatments that are superior to the reference, GRADE privileges the more uncertain ones, and in 3/10 cases GRADE failed to recommend the treatment with the highest EV and LaEV. Conclusions: A two-stage approach based on MCID ensures that EV- and LaEV-based rules recommend a clinically appropriate number of treatments. For a risk-averse decision maker, LaEV is conservative, simple to implement, and has an independent theoretical foundation.
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基于网络 Meta 分析的治疗建议:规避风险决策者的规则
摘要背景:基于网络元分析(NMA)的治疗推荐通常是在评价函数上具有最高期望值(EV)的单一治疗。我们探讨了推荐多种治疗方法的方法,这些方法对不确定性进行惩罚,适合规避风险的决策者:我们介绍了损失调整 EV(LaEV),并将其与 GRADE 和三种基于概率的排名进行了比较。我们定义了不确定性下有效排名的属性以及排名系统的其他理想属性。我们提出了一个两阶段过程:第一阶段选择优于参考治疗的治疗方法;第二阶段确定那些与最佳治疗方法的最小临床重要差异(MCID)相同的治疗方法。结果显示,只有 LaEV 能可靠地得出最佳排名:结果:只有 LaEV 能在不确定情况下可靠地提供有效排名,并具有所有理想特性。在对 4 至 40 种治疗方法进行比较的 10 个 NMA 中,EV 决策者会推荐 4 至 14 种治疗方法,而 LaEV 会推荐 0 至 3 种治疗方法(中位数为 2)。GRADE 规则会产生异常现象,与基于概率的排名一样,推荐的治疗次数取决于任意的概率截止值。在优于参照物的治疗方法中,GRADE优先选择不确定性较高的治疗方法,在3/10的病例中,GRADE未能推荐EV和LaEV最高的治疗方法:结论:基于MCID的两阶段方法可确保基于EV和LaEV的规则推荐临床上适当数量的治疗。对于规避风险的决策者来说,LaEV是保守的,简单易行,并且有独立的理论基础。
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