Fisher and regression

被引：31

作者：

Aldrich, J ^{[1
]}

机构：

[1] Univ Southampton, Sch Social Sci, Div Econ, Southampton SO17 1BJ, Hants, England

来源：

STATISTICAL SCIENCE | 2005年 / 20卷 / 04期

关键词：

R; A; Fisher; Karl Pearson; MS Bartlett; regression; theory of errors; correlation; ancillary statistic; history of statistics;

D O I：

10.1214/088342305000000331

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In 1922 R. A. Fisher introduced the modem regression model, synthesizing the regression theory of Pearson and Yule and the least squares theory of Gauss. The innovation was based on Fisher's realization that the distribution associated with the regression coefficient was unaffected by the distribution of X. Subsequently Fisher interpreted the fixed X assumption in terms of his notion of ancillarity. This paper considers these developments against the background of the development of statistical theory in the early twentieth century.

引用

页码：401 / 417

页数：17

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