KOPS - The Institutional Repository of the University of Konstanz

A Battle in the Statistics Wars : a simulation-based comparison of Bayesian, Frequentist and Williamsonian methodologies

A Battle in the Statistics Wars : a simulation-based comparison of Bayesian, Frequentist and Williamsonian methodologies

Cite This

Files in this item

Checksum: MD5:2343d9d30f8b03999142cac349d9be69

RADZVILAS, Mantas, William PEDEN, Francesco DE PRETIS, 2021. A Battle in the Statistics Wars : a simulation-based comparison of Bayesian, Frequentist and Williamsonian methodologies. In: Synthese. Springer. 199(5-6), pp. 13689-13748. ISSN 0039-7857. eISSN 1573-0964. Available under: doi: 10.1007/s11229-021-03395-y

@article{Radzvilas2021-12Battl-57877, title={A Battle in the Statistics Wars : a simulation-based comparison of Bayesian, Frequentist and Williamsonian methodologies}, year={2021}, doi={10.1007/s11229-021-03395-y}, number={5-6}, volume={199}, issn={0039-7857}, journal={Synthese}, pages={13689--13748}, author={Radzvilas, Mantas and Peden, William and De Pretis, Francesco} }

<rdf:RDF xmlns:dcterms="http://purl.org/dc/terms/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#" xmlns:foaf="http://xmlns.com/foaf/0.1/" xmlns:void="http://rdfs.org/ns/void#" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/57877"> <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/57877/1/Radzvilas_2-8hxr1rxg8n9s6.pdf"/> <dc:rights>Attribution 4.0 International</dc:rights> <dc:creator>Radzvilas, Mantas</dc:creator> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dcterms:abstract xml:lang="eng">The debates between Bayesian, frequentist, and other methodologies of statistics have tended to focus on conceptual justifications, sociological arguments, or mathematical proofs of their long run properties. Both Bayesian statistics and frequentist (“classical”) statistics have strong cases on these grounds. In this article, we instead approach the debates in the “Statistics Wars” from a largely unexplored angle: simulations of different methodologies’ performance in the short to medium run. We used Big Data methods to conduct a large number of simulations using a straightforward decision problem based around tossing a coin with unknown bias and then placing bets. In this simulation, we programmed four players, inspired by Bayesian statistics, frequentist statistics, Jon Williamson’s version of Objective Bayesianism, and a player who simply extrapolates from observed frequencies to general frequencies. The last player served a benchmark function: any worthwhile statistical methodology should at least match the performance of simplistic induction. We focused on the performance of these methodologies in guiding the players towards good decisions. Unlike an earlier simulation study of this type, we found no systematic difference in performance between the Bayesian and frequentist players, provided the Bayesian used a flat prior and the frequentist used a low confidence level. The Williamsonian player was also able to perform well given a low confidence level. However, the frequentist and Williamsonian players performed poorly with high confidence levels, while the Bayesian was surprisingly harmed by biased priors. Our study indicates that all three methodologies should be taken seriously by philosophers and practitioners of statistics.</dcterms:abstract> <dc:contributor>Radzvilas, Mantas</dc:contributor> <dcterms:issued>2021-12</dcterms:issued> <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/57877/1/Radzvilas_2-8hxr1rxg8n9s6.pdf"/> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2022-06-30T08:02:07Z</dcterms:available> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/40"/> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2022-06-30T08:02:07Z</dc:date> <dc:contributor>Peden, William</dc:contributor> <dcterms:title>A Battle in the Statistics Wars : a simulation-based comparison of Bayesian, Frequentist and Williamsonian methodologies</dcterms:title> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/57877"/> <dc:creator>De Pretis, Francesco</dc:creator> <dc:language>eng</dc:language> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dc:contributor>De Pretis, Francesco</dc:contributor> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/40"/> <dcterms:rights rdf:resource="http://creativecommons.org/licenses/by/4.0/"/> <dc:creator>Peden, William</dc:creator> </rdf:Description> </rdf:RDF>

Downloads since Jun 30, 2022 (Information about access statistics)

Radzvilas_2-8hxr1rxg8n9s6.pdf 18

This item appears in the following Collection(s)

Attribution 4.0 International Except where otherwise noted, this item's license is described as Attribution 4.0 International

Search KOPS


Browse

My Account