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有限样本量和随访对基于分区生存和多状态建模的健康经济模型的影响:一项模拟研究

Impact of Limited Sample Size and Follow-up on Partitioned Survival and Multistate Modeling-Based Health Economic Models: A Simulation Study.

作者信息

Beca Jaclyn M, Chan Kelvin K W, Naimark David M J, Pechlivanoglou Petros

机构信息

Institute of Health Policy, Management and Evaluation, University of Toronto, Toronto, Canada.

Canadian Centre for Applied Research in Cancer Control (ARCC), Toronto, Canada.

出版信息

Med Decis Making. 2025 Aug;45(6):714-725. doi: 10.1177/0272989X251342596. Epub 2025 Jun 25.

Abstract

BackgroundEconomic models often require extrapolation of clinical time-to-event data for multiple events. Two modeling approaches in oncology that incorporate time dependency include partitioned survival models (PSM) and semi-Markov decision models estimated using multistate modeling (MSM). The objective of this simulation study was to assess the performance of PSM and MSM across datasets with varying sample size and degrees of censoring.MethodsWe generated disease trajectories of progression and death for multiple hypothetical populations with advanced cancers. These populations served as the sampling pool for simulated trial cohorts with multiple sample sizes and various levels of follow-up. We estimated MSM and PSM by fitting survival models to these simulated datasets with different approaches to incorporating general population mortality (GPM) and selected best-fitting models using statistical criteria. Mean survival was compared with "true" population values to assess error.ResultsWith near complete follow-up, both PSMs and MSMs accurately estimated mean population survival, while smaller samples and shorter follow-up times were associated with a larger error across approaches and clinical scenarios, especially for more distant clinical endpoints. MSMs were slightly more often not estimable when informed by studies with small sample sizes or short follow-up, due to low numbers at risk for the downstream transition. However, when estimable, the MSM models more commonly produced a smaller error in mean survival than the PSMs did.ConclusionsCaution should be taken with all modeling approaches when the underlying data are very limited, particularly PSMs, due to the large errors produced. When estimable and for selections based on statistical criteria, MSMs performed similar to or better than PSMs in estimating mean survival with limited data.HighlightsCaution should be taken with all modeling approaches when underlying data are very limited.Partitioned survival models (PSMs) can lead to significant errors, particularly with limited follow-up. Incorporating general population mortality (GPM) via internal additive hazards improved estimates of mean survival, but the effects were modest.When estimable, decision models based on multistate modeling (MSM) produced similar or smaller error in mean survival compared with PSM, but small samples or limited deaths after progression produce additional challenges for fitting MSMs; more research is needed to improve estimation of MSMs and similar state transition-based modeling methods with limited data.Future studies are needed to assess the applicability of these findings to comparative analyses estimating incremental survival benefits.

摘要

背景

经济模型通常需要对多个事件的临床事件发生时间数据进行外推。肿瘤学中纳入时间依赖性的两种建模方法包括分割生存模型(PSM)和使用多状态建模(MSM)估计的半马尔可夫决策模型。本模拟研究的目的是评估PSM和MSM在不同样本量和删失程度的数据集上的性能。

方法

我们为多个患有晚期癌症的假设人群生成了疾病进展和死亡轨迹。这些人群作为具有多个样本量和不同随访水平的模拟试验队列的抽样池。我们通过将生存模型拟合到这些模拟数据集来估计MSM和PSM,采用不同方法纳入总体人群死亡率(GPM),并使用统计标准选择最佳拟合模型。将平均生存期与“真实”人群值进行比较以评估误差。

结果

在几乎完全随访的情况下,PSM和MSM都准确估计了总体人群的平均生存期,而较小的样本量和较短的随访时间在不同方法和临床场景中与更大的误差相关,尤其是对于更遥远的临床终点。当依据小样本量或短随访研究时,由于下游转移的风险数量较少,MSM更常出现不可估计的情况。然而,当可估计时,MSM模型在平均生存期方面比PSM更常产生较小的误差。

结论

当基础数据非常有限时,所有建模方法都应谨慎使用,尤其是PSM,因为会产生较大误差。当可估计且基于统计标准进行选择时,在有限数据下估计平均生存期方面,MSM的表现与PSM相似或优于PSM。

要点

当基础数据非常有限时,所有建模方法都应谨慎使用。

分割生存模型(PSM)可能导致显著误差,尤其是在随访有限的情况下。通过内部相加风险纳入总体人群死亡率(GPM)可改善平均生存期的估计,但效果不大。

当可估计时,基于多状态建模(MSM)的决策模型在平均生存期方面产生的误差与PSM相似或更小,但小样本量或进展后有限的死亡数给拟合MSM带来了额外挑战;需要更多研究来改进在有限数据下MSM及类似基于状态转移的建模方法的估计。

未来研究需要评估这些发现对估计增量生存获益的比较分析的适用性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1960/12260197/3457100d5ba7/10.1177_0272989X251342596-fig1.jpg

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