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Statistical Methods and Scientific Induction
Abstract
Summary: 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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Cited by
A new method for non-parametric multivariate analysis of variance
Anderson, M. J. (2001) · Austral Ecology · doi:10.1111/j.1442-9993.2001.01070.pp.x · Cited by 13,828
Permutation tests for univariate or multivariate analysis of variance and regression
Anderson, M. J. (2001) · Canadian Journal of Fisheries and Aquatic Sciences · doi:10.1139/cjfas-58-3-626 · Cited by 1,495
The test of significance in psychological research.
Bakan, D. (1966) · Psychological Bulletin · doi:10.1037/h0020412 · Cited by 911
Gigerenzer, G. (2004) · The Journal of Socio-Economics · doi:10.1016/j.socec.2004.09.033 · Cited by 890
Do studies of statistical power have an effect on the power of studies?
Sedlmeier, P., & Gigerenzer, G. (1989) · Psychological Bulletin · doi:10.1037/0033-2909.105.2.309 · Cited by 748
Metadata
- Authors
- Fisher, R.
- Venue
- Journal of the Royal Statistical Society Series B: Statistical Methodology
- Publisher
- Oxford University Press (OUP)
- Published
- 1955-01-01
- Volume
- 17
- Issue
- 1
- Pages
- 69-78
- ISSN
- 1369-7412 (ISSN-L)
- 1467-9868
- OpenAlex
- W2405858985
- Cited by
- 596
- References
- 0
- FWCI
- 6.97
- Type
- journal article
- Language
- en
- Open access
- closed
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