论文标题

基本粒子物理学中的统计实践与梅奥统计推断中讨论的严重性概念之间的联系

Connections between statistical practice in elementary particle physics and the severity concept as discussed in Mayo's Statistical Inference as Severe Testing

论文作者

Cousins, Robert D.

论文摘要

多年来,统计的哲学家Deborah Mayo一直在提倡严重测试的概念,作为假设检验的关键部分。她最近的著作《统计推断》作为严重测试,是对许多统计推断(频繁主义者和贝叶斯)的历史研究的全面论述。她的基本观点称为误差统计,强调了对频繁主义假设检验理论中称为I和II型误差的常见主义评估。由于基本粒子物理的领域(也称为高能量物理学)具有较强的频繁推断传统,因此人们可能期望像严重性概念一样在该领域独立发展。确实,我发现至少在操作(数值上),我们高能物理学家长期以来以直接映射到严重性的方式解释了数据。我们是否赞同梅奥对严重性的哲学解释是一个更复杂的故事,我在这里没有解决。

For many years, philosopher-of-statistics Deborah Mayo has been advocating the concept of severe testing as a key part of hypothesis testing. Her recent book, Statistical Inference as Severe Testing, is a comprehensive exposition of her arguments in the context of a historical study of many threads of statistical inference, both frequentist and Bayesian. Her foundational point of view is called error statistics, emphasizing frequentist evaluation of the errors called Type I and Type II in the Neyman-Pearson theory of frequentist hypothesis testing. Since the field of elementary particle physics (also known as high energy physics) has strong traditions in frequentist inference, one might expect that something like the severity concept was independently developed in the field. Indeed, I find that, at least operationally (numerically), we high-energy physicists have long interpreted data in ways that map directly onto severity. Whether or not we subscribe to Mayo's philosophical interpretations of severity is a more complicated story that I do not address here.

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