Models and statistical inference: The controversy between Fisher and Neyman-Pearson
Models and statistical inference: The controversy between Fisher and Neyman-Pearson
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DOI：
10.1093/bjps/axi152
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发表时间：
2006-03-01
影响因子：
3.4
通讯作者：
Lenhard, J
中科院分区：
文献类型：
--
作者：
Lenhard, J
本文的主要论点是，就现代统计而言，各种模型概念之间的差异是其形成争议的关键。统计推断的数学理论主要是由Ronald A. Fisher、Jerzy Neyman和Egon S. Pearson发展起来的。费雪和内曼-皮尔逊经常卷入一场激烈的争论。普遍的观点是，内曼和皮尔逊使费雪的理论在数学上更加严格。然而，争论有一个深刻的理论基础：双方对数学建模的作用持有不同的观点。最后，有影响力的探索性数据分析方案被认为是提倡另一种更有用的模型概念。
The main thesis of the paper is that in the case of modern statistics, the differences between the various concepts of models were the key to its formative controversies. The mathematical theory of statistical inference was mainly developed by Ronald A. Fisher, Jerzy Neyman, and Egon S. Pearson. Fisher on the one side and Neyman-Pearson on the other were involved often in a polemic controversy. The common view is that Neyman and Pearson made Fisher's account more stringent mathematically. It is argued, however, that there is a profound theoretical basis for the controversy: both sides held conflicting views about the role of mathematical modelling. At the end, the influential programme of Exploratory Data Analysis is considered to be advocating another, more instrumental conception of models.