Models and statistical inference: The controversy between Fisher and Neyman-Pearson

Lenhard J (2006)
British Journal for the Philosophy of Science 57(1): 69-91.

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
Abstract / Bemerkung
The main thesis of the paper is that in the case of modern statistics, the differences between the various concepts of models were the key to its formative controversies. The mathematical theory of statistical inference was mainly developed by Ronald A. Fisher, Jerzy Neyman, and Egon S. Pearson. Fisher on the one side and Neyman–Pearson on the other were involved often in a polemic controversy. The common view is that Neyman and Pearson made Fisher's account more stringent mathematically. It is argued, however, that there is a profound theoretical basis for the controversy: both sides held conflicting views about the role of mathematical modelling. At the end, the influential programme of Exploratory Data Analysis is considered to be advocating another, more instrumental conception of models. 1. Introduction 2. Models in statistics—‘of what population is this a random sample?’ 3. The fundamental lemma 4. Controversy about models 5. Exploratory data analysis as a model-critical approach.
Erscheinungsjahr
Zeitschriftentitel
British Journal for the Philosophy of Science
Band
57
Zeitschriftennummer
1
Seite
69-91
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eISSN
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Lenhard J. Models and statistical inference: The controversy between Fisher and Neyman-Pearson. British Journal for the Philosophy of Science. 2006;57(1):69-91.
Lenhard, J. (2006). Models and statistical inference: The controversy between Fisher and Neyman-Pearson. British Journal for the Philosophy of Science, 57(1), 69-91. doi:10.1093/bjps/axi152
Lenhard, J. (2006). Models and statistical inference: The controversy between Fisher and Neyman-Pearson. British Journal for the Philosophy of Science 57, 69-91.
Lenhard, J., 2006. Models and statistical inference: The controversy between Fisher and Neyman-Pearson. British Journal for the Philosophy of Science, 57(1), p 69-91.
J. Lenhard, “Models and statistical inference: The controversy between Fisher and Neyman-Pearson”, British Journal for the Philosophy of Science, vol. 57, 2006, pp. 69-91.
Lenhard, J.: Models and statistical inference: The controversy between Fisher and Neyman-Pearson. British Journal for the Philosophy of Science. 57, 69-91 (2006).
Lenhard, Johannes. “Models and statistical inference: The controversy between Fisher and Neyman-Pearson”. British Journal for the Philosophy of Science 57.1 (2006): 69-91.