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Statistical Methods and Scientific Induction

Ronald Fisher
Journal of the Royal Statistical Society. Series B (Methodological)
Vol. 17, No. 1 (1955), pp. 69-78
Published by: Wiley for the Royal Statistical Society
Stable URL: http://www.jstor.org/stable/2983785
Page Count: 10
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Statistical Methods and Scientific Induction
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Abstract

The attempt to reinterpret the common tests of significance used in scientific research as though they constituted some kind of acceptance procedure and led to "decisions" in Wald's sense, originated in several misapprehensions and has led, apparently, to several more. The three phrases examined here, with a view to elucidating the fallacies they embody, are: (i) "Repeated sampling from the same population", (ii) Errors of the "second kind", (iii) "Inductive behaviour". Mathematicians without personal contact with the Natural Sciences have often been misled by such phrases. The errors to which they lead are not always only numerical.

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