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Models and Statistical Inference

The Controversy between Fisher and Neyman–Pearson

Bibliographic Data

ID8397665
AuthorsJohannes Lenhard (0000-0001-7485-1578, Bielefeld University, corresponding author)
Year2006
Volume57
Issue1
Pages69-91
Publication date2006-03-01
Peer ReviewedYes
Open AccessNo
TypeARTICLE
VenueThe British Journal for the Philosophy of Science (JOURNAL)
Journal identifiersISSN: 0007-0882 • E-ISSN: 1464-3537
PublisherOxford University Press (PUBLISHER • GB)
DOI10.1093/bjps/axi152
OpenAlexW1982941892
LanguageEN
Citations received8
References cited19

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

Econometrics · Epistemology · Exploratory data analysis · Inference · Pearson product-moment correlation coefficient · Statistical hypothesis testing · Statistical inference · Statistical theory · Statistics · Data Analysis with R · Mathematics · Philosophy · Philosophy and History of Science · Statistics Education and Methodologies

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Unique citing works8
Citations per year0,47
Citation span2009 - 2024 (16)
Citation velocityrecent
Highly citedNo
Citation typesNeutral: 8

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