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Fisher and Regression

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by John Aldrich
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@MISC{Aldrich_fisherand,
    author = {John Aldrich},
    title = {Fisher and Regression},
    year = {}
}

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Abstract

Abstract. In 1922 R. A. Fisher introduced the modern 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.

Citations

887 D: Bayesian Data Analysis - Gelman, Carlin, et al. - 1995
379 Mathematical Methods of Statistics - Cramér - 1999
299 Statistical Methods for Research Workers - Fisher - 1970
294 A: The advanced Theory of Statistics - Kendall, Stuart - 1986
278 Theoretical Statistics - Cox, Hinkley - 1974
160 On the Mathematical Foundations of Theoretical Statistics - FISHER - 1922
119 Information and Exponential Families in Statistical Theory - Barndorff-Nielsen - 1978
101 Theory of statistical estimation - Fisher - 1925
100 On the problem of the most efficient tests of statistical hypotheses - Neyman, Pearson - 1933
73 On the criterion that a given system of deviations from the probable in the case of a correlated systm of variables is such that it can be reasonably supposed to have arisen from random sampling. Philisophical Magazine - Pearson - 1900
72 Inference and Asymptotics - Barndorff-Nielsen, Cox - 1994
69 The History of Statistics: The Measurement of Uncertainty Before 1900. The Belknap Press of Harvard Univ - STIGLER - 1986
49 On the ‘Probable Error’ of a Coefficient of Correlation Deduced from a Small Sample - Fisher - 1921
49 On the use and interpretation of certain test criteria for purposes of statistical inference - Neyman, Pearson - 1928
44 The probable error of a mean - STUDENT - 1908
39 Properties of sufficiency and statistical tests - Bartlett - 1937
34 The Chi-squared Distribution - Lancaster - 1969
34 Mathematical contributions to the theory of evolution III. Regression, heredity and panmixia - Pearson
32 the two different aspects of the representative method: the method of stratified sampling and the method of purposive selection - Neyman
30 On an absolute criterion for fitting frequency curves - Fisher - 1912
29 Two new properties of mathematical likelihood - Fisher - 1934
29 A History of Mathematical Statistics from 1750 to 1930 - Hald - 1998
29 Contributions to the mathematical theory of evolution—III, regression, heredity and panmixia - PEARSON - 1896
28 Some problems connected with statistical inference - Cox - 1958
24 Statistical Methods and Scientific - Fisher - 1956
21 Frequency distribution of the values of the correlation coefficient in samples of an indefinitely large population - Fisher - 1915
20 Fisher and the Making of Maximum Likelihood 1912–1922 - Aldrich - 1997
19 On the Foundation of Statistical Inference - Birnbaum - 1962
19 On the Interpretation of χ 2 from Contingency Tables, and the Calculation of P - Fisher - 1922
17 Are there two regressions - Berkson - 1950
14 Correlation curves: Measures of association as functions of covariate values - Bjerve, Doksum - 1993
14 Elements of Statistics - Bowley - 1920
14 Fisher: The Life of a Scientist - Box
14 Linear Regression Analysis of Economic Time Series - Koopmans
12 Applications of “Student’s” distribution - Fisher - 1925
12 On the theory of correlation for any number of variables, treated by a new system of notation,” in Proc. of Royal Society, vol. 79 of A - Yule - 1907
11 On the theory of statistical regression - Bartlett - 1933
11 Notes on the history of correlation - PEARSON - 1920
11 A tale of two regressions - Sampson - 1974
10 Tables for Statisticians and Biometricians - Pearson - 1960
9 Statistical Inference and Analysis : Selected Correspondence of - Bennett, ed - 1989
9 Methods of correlation analysis - Ezekiel - 1930
8 An ancillarity paradox which appears in multiple linear regression (with discussion - Brown - 1990
8 The logic of inductive inference (with discussion - Fisher - 1935
8 An investigation into the causes of changes in pauperism in england - Yule
7 Studies in crop variation, ii, the manurial response of different potato varieties - Fisher, MacKenzie - 1923
7 Ancillaries and conditional inference (with Discussion - Fraser - 2004
7 Theoria Motus Corporum Coelestium - Gauss - 1809
7 Interpreting Probability: Controversies and Developments in the Early Twentieth Century. Cambridge - Howie - 2002
7 On the Systematic Fitting of Curves to Observations and Measurements - Pearson - 1902
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