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Fisher and regression

delete2005-11-01
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John Aldrich
DOI:10.1214/088342305000000331delete
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摘要

摘要

En 中文
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.
Keyword:
R. A. Fisher
Karl Pearson
MS Bartlett
regression
theory of errors
correlation
ancillary statistic
history of statistics
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Statistical Science
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