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弗朗西斯·高尔顿的回归均值和类型稳定性。

Francis Galton's regression towards mediocrity and the stability of types.

机构信息

The Cohn Institute for the History and Philosophy of Science and Ideas, Tel Aviv University, Ramat Aviv, 6997801, Tel Aviv, Israel.

The Cohn Institute for the History and Philosophy of Science and Ideas, Tel Aviv University, Ramat Aviv, 6997801, Tel Aviv, Israel.

出版信息

Stud Hist Philos Sci. 2021 Apr;86:6-19. doi: 10.1016/j.shpsa.2020.12.008. Epub 2021 Jan 16.

Abstract

A prevalent narrative locates the discovery of the statistical phenomenon of regression to the mean in the work of Francis Galton. It is claimed that after 1885, Galton came to explain the fact that offspring deviated less from the mean value of the population than their parents did as a population-level statistical phenomenon and not as the result of the processes of inheritance. Arguing against this claim, we show that Galton did not explain regression towards mediocrity statistically, and did not give up on his ideas regarding an inheritance process that caused offspring to revert to the mean. While the common narrative focuses almost exclusively on Galton's statistics, our arguments emphasize the anthropological and biological questions that Galton addressed. Galton used regression towards mediocrity to support the claim that some biological types were more stable than others and hence were resistant to evolutionary change. This view had implications concerning both natural selection and eugenics. The statistical explanation attributed to Galton appeared later, during the biometrician-mutationist debate in the early 1900s. It was in the context of this debate and specifically by the biometricians, that the development of the statistical explanation was originally attributed to Galton.

摘要

一种流行的说法认为,弗朗西斯·高尔顿(Francis Galton)的工作中发现了回归均值的统计现象。据称,1885 年后,高尔顿开始将后代与父母相比偏离平均值的程度较小这一现象解释为一种群体层面的统计现象,而不是遗传过程的结果。我们反对这种说法,表明高尔顿并没有从统计学上解释向平庸回归,也没有放弃他关于遗传过程会导致后代回归平均值的观点。虽然常见的说法几乎完全集中在高尔顿的统计学上,但我们的论点强调了高尔顿所关注的人类学和生物学问题。高尔顿利用向平庸回归来支持某些生物类型比其他类型更稳定,因此更能抵抗进化变化的观点。这种观点涉及自然选择和优生学。归因于高尔顿的统计学解释出现得较晚,是在 20 世纪初的生物统计学家-突变论者辩论中。正是在这场辩论中,特别是生物统计学家,最初将这一统计学解释的发展归因于高尔顿。

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