The simple yet subtle concept of regression towards the mean is reviewed historically. Verbal, geometric, and mathematical expressions of the concept date to the discoverer of the concept, Francis Galton. That discovery and subsequent understanding (and misunderstanding) of the concept are surveyed.
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References
1.
Friedman M.Do old fallacies ever die?Journal of Economic Literature1992; 30: 2129-2132 .
2.
Stigler SM.The history of statistics. Cambridge, MA: Harvard University Press , 1986.
Stigler SM.Francis Galton's account of the invention of correlation . Statistical Science1989; 4: 73-86 .
6.
Nesselroade J , Stigler SM , Baltes P.Regression toward the mean and the study of change . Psychological Bulletin1980; 87: 622-637 .
7.
Bowley AL.Elements of statistics. London: PS King , 1901: 316-326, and later editions.
8.
Yule GU.An introduction to the theory of statistics. London: Charles Griffin , 1911 (and many later editions).
9.
and at more length in Stigler , A look backward on the occasion of the centenary of JASA , Journal of the American Statistical Association1988; 83: 583-587 .]
10.
Strong TB ed. Lectures on the method of science. Oxford: Clarendon Press , 1906: 106-107.
11.
Mills FC.Statistical methods. Applied to economics and business. New York: Henry Holt , 1924: 394-394.
12.
Secrist H.The triumph of mediocrity in business. Evanston, IL: Bureau of Business Research, Northwestern University . 1933.
13.
Elder RF.Review of The triumph of mediocrity in business by Secrist H . American Economic Review1934: 24: 121-122 .
14.
King WI.Review of The triumph of mediocrity in business by Secrist H . Journal of Political Economy1934; 42: 398-400 .
15.
Riegel R.Review of The triumph of mediocrity in business by Secrist H . Annals of the American Academy of Political and Social Science1933; 170: 178-179 .
16.
Hotelling H.Review of The triumph of mediocrity in business by Secrist H . Journal of the American Statistical Association1933; 28: 463-465 .
17.
see Stigler SM. , The history of statistics in 1933 . Statistical Science1996, 11: 244-252 , for a full account of Secrist and Hotelling.
18.
Wallis WA , and Roberts H.Statistics: a new approach. Glencoe IL: Free Press , 1956: 258-263.
19.
Thorndike RL.Regression fallacies in the matched groups experiment . Psychometrika1942; 7: 85-102 .
20.
Hirschman AO.Exit, voice, and loyalty: responses to decline in firms, organizations, and states. Cambridge, MA: Harvard University Press , 1970.
21.
Friedman M.Do old fallacies ever die?Journal of Economic Literature1992; 30: 2129-2132 .