关于在评估口罩使用和超额死亡率中误用时间依赖模型
On the misuse of time-dependent models in assessing mask usage and excess mortality
AI总结：
本文通过重新评估批评，指出时间依赖模型的缺陷，并证明口罩使用与超额死亡率的关联不依赖于反向因果性。
摘要：
面部口罩作为群体层面干预措施在抑制呼吸道病毒传播的有效性仍存在争议。尽管在新冠疫情大流行期间发表的大量观察性文献报告了有益效果，但随机对照试验却始终显示有限或无影响。对欧洲国家的生态分析报告称，2020年和2021年期间的平均口罩使用量与同期24个欧洲国家的超额死亡率呈正相关（Tausk和Spira，2025）。这种关联在多次尝试控制混杂变量后仍存在。此后，其他作者对该发现提出了挑战，并将其归因于反向因果性（Cerqueira-Silva等，2026）。在本文中，我们详细重新评估了这些批评。我们表明，他们的分析本质上存在缺陷，因为用来反驳原始发现的时间依赖回归框架会产生虚假结果，部分原因是使用累积超额死亡率作为结果变量，从而纳入了干预前的死亡，即使在不可能的负时间滞后下也会产生统计显著性的影响。诊断分析进一步显示，模型的关键假设被违反，使任何关联或因果解释都无效。最后，我们提出了一种原创的纵向分析，用于直接测试反向因果性假说。通过构建多个指数，捕捉不同流行病波浪阶段的口罩采用情况，包括以低死亡率为特征的波浪间期，我们表明口罩使用与超额死亡率之间的关联仍然存在，并且不是由反应性增加的口罩使用所驱动。这些发现提供了有力证据，表明反向因果性在观察到的关联中至多只提供微小贡献。
英文摘要：
The effectiveness of face masks as a population level intervention against respiratory viral transmission remains contested. While a large observational literature published during the COVID-19 pandemic reported beneficial effects, randomized controlled trials have consistently shown limited or no impact. An ecological analysis of European countries reported that average mask usage during the years 2020 and 2021 is positively associated with excess mortality in that same period in 24 European countries (Tausk and Spira, 2025). Such association remains after several attempts at controlling for confounding variables. This finding was later challenged by other authors and attributed to reverse causality (Cerqueira-Silva et al., 2026). In this paper, we reassess those criticisms in detail. We show that their analysis is fundamentally flawed, as the time-dependent regression framework used to refute the original findings yields spurious results partly due to the use of cumulative excess mortality as an outcome variable, thereby incorporating pre-intervention deaths and producing statistically significant effects even at impossible negative time lags. Diagnostic analyses further demonstrate that key assumptions of the model are violated, invalidating any association or causal interpretation. Finally, we present an original longitudinal analysis of mask usage designed to directly test the reverse causality hypothesis. By constructing multiple indices that capture mask adoption during distinct phases of pandemic waves, including interwave periods characterized by low mortality, we show that the association between mask usage and excess mortality persists and is not driven by reactive increases in masking. These findings provide substantial evidence that reverse causality provides, at most, a minor contribution to the observed association.
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