Misunderstood and Unattributed: Revisiting M. H. Doolittle's Measures of Association, With a Note on Bayes' Theorem

Armistead Timothy W.

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Misunderstood and Unattributed: Revisiting M. H. Doolittle's Measures of Association, With a Note on Bayes' Theorem

机译：被误解且未归因：以贝叶斯定理为例重温M. H. Doolittle的联系测度

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In the 1880s, American scholars developed measures of association and chance for cross-classification tables that anticipated the more widely known work of Galton, Pearson, Yule, and Fisher. Three of the measures form the historical backdrop for the earliest known use of a joint probability measure that mirrored Bayes' theorem long before the latter gained general interest among statisticians. The joint probability measure, which served as a foundational step in M. H. Doolittle's development of the first of the two association ratios, has not previously been reviewed in the statistical literature. It was reintroduced as if newly developed in a subfield of experimental psychology more than a century after Doolittle's work was published. It has flourished there, but it has not seen use in other academic venues. The article describes its properties and limitations and proposes that it be disseminated and debated beyond its current narrow application. The article notes that Doolittle's first association ratio can be expressed as another joint probability and that prior treatments in the literature are inconsistent with Doolittle's understanding of its purpose. The article also demonstrates that the equivalent of Cohen's kappa () was developed by Doolittle in 1887, as his second association measure.

机译：在1880年代，美国学者开发了关联度和交叉分类表的机会，这些表预见了加尔顿，皮尔逊，尤尔和费舍尔的更广为人知的工作。其中三种度量构成了最早使用联合概率度量的历史背景，这种联合概率度量反映了贝叶斯定理，而后者早已在统计学家中引起广泛关注。联合概率测度是M. H. Doolittle开发两个关联比率中的第一个的基础步骤，之前尚未在统计文献中进行过评论。在杜利特尔（Doolittle）的著作发表后一个多世纪以来，它被重新引入，好像是在实验心理学的一个子领域中新近开发出来的一样。它在那里繁荣发展，但是在其他学术场所却没有得到使用。本文介绍了它的特性和局限性，并建议在目前的狭义应用之外对其进行传播和辩论。该文章指出，杜利特尔的第一关联比率可以表示为另一种联合概率，并且文献中的先前处理方法与杜利特尔对其目的的理解不一致。这篇文章还证明了与科恩的kappa（）等效的东西是杜利特尔（Doolittle）在1887年开发的，这是他的第二种关联度量。

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《The American statistician》 |2016年第1期|63-73|共11页
作者
Armistead Timothy W.;
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Armistead Res & Investigat Serv, 1564-A Fitzgerald Dr,Suite 323, Pinole, CA 94564 USA;

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正文语种 eng
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Bayes' theorem; Cohen's kappa; Chi-square; Confusion matrix; C. S. Peirce; Diagnostic likelihood ratios; H. L. Wagner; Mean square contingency;

机译：贝叶斯定理;科恩κ;卡方;混淆矩阵;C。 S.Peirce;诊断似然比;H。瓦格纳;均方偶然性;

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1. Misunderstood and Unattributed: Revisiting M.H. Doolittle's Measures of Association, with a Note on Bayes' Theorem (vol 70, pg 63, 2016) [J] . Armistead T. The American statistician . 2016,第2期

机译：被误解且未归因：重温M.H.杜利特尔的关联度量，有关贝叶斯定理的注释（2016年第70卷，第63页）
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Misunderstood and Unattributed: Revisiting M. H. Doolittle's Measures of Association, With a Note on Bayes' Theorem

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