论文标题

多余的死亡,基准,Z分数,p评分和峰值

Excess deaths, baselines, Z-scores, P-scores and peaks

论文作者

Davies, Laurie

论文摘要

最近的Covid-19-19导致了遭受的国家的比较。这些基于直接或间接归因于流行病的多余死亡人数。不幸的是,这种比较依赖的数据通常是不完整且不可靠的。本文讨论了数据解释问题,即使数据基本上是准确的,最多延迟了两到三周。这适用于英国国家统计局,德国的统计局德甲和比利时统计办公室Statbel。本文中的数据取自这三个来源。多余死亡人数的数量被定义为死亡人数减去基线,其定义因国家而异。在英国,这是过去五年中的平均死亡人数,在德国,过去四年,在过去11年中,在比利时。这意味着在所有情况下,单个基线都在很大程度上取决于不良因素的时机和强度,例如过去的流感流行病和热波。这使得越野比较变得困难。可以通过说死亡人数的10 \%分位数来实现的基线定义为没有不良因素的死亡人数的数量。随着时间的流逝,这几乎没有变化,而给定年龄段的欧洲国家。因此,它可以对不同国家进行更强大,准确的比较。文章批评使用Z分数扭曲了国家之间的比较。最后,考虑了最大的开始和时间和时间来描述过去的流行病的问题,以及它们的效果,最大的高度和死亡总数。

The recent Covid-19 epidemic has lead to comparisons of the countries suffering from it. These are based on the number of excess deaths attributed either directly or indirectly to the epidemic. Unfortunately the data on which such comparisons rely are often incomplete and unreliable. This article discusses problems of interpretation of data even when the data is largely accurate and delayed by at most two to three weeks. This applies to the Office of National Statistics in the UK, the Statistisches Bundesamt in Germany and the Belgian statistical office Statbel. The data in the article is taken from these three sources. The number of excess deaths is defined as the number of deaths minus the baseline, the definition of which varies from country to country. In the UK it is the average number of deaths over the last five years, in Germany it is over the last four years and in Belgium over the last 11 years. This means that in all cases the individual baselines depend strongly on the timing and intensity of adverse factors such as past influenza epidemics and heat waves. This makes cross-country comparisons difficult. A baseline defined as the number the number of deaths in the absence of adverse factors can be operationalized by taking say the 10\% quantile of the number of deaths. This varies little over time and European countries within given age groups. It therefore enables more robust and accurate comparisons of different countries. The article criticizes the use of Z-scores which distort the comparison between countries. Finally the problem of describing past epidemics by their timing, that is start and finish and time of the maximum, and by their effect, the height of the maximum and the total number of deaths, is considered.

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