Perspectives on the 2×2 Matrix : Solving Semantically Distinct Problems Based on a Shared Structure of Binary Contingencies

Loading...
Thumbnail Image
Date
2021
Editors
Contact
Journal ISSN
Electronic ISSN
ISBN
Bibliographical data
Publisher
Series
DOI (citable link)
ArXiv-ID
International patent number
Link to the license
EU project number
Project
Open Access publication
Restricted until
Title in another language
Research Projects
Organizational Units
Journal Issue
Publication type
Journal article
Publication status
Published
Published in
Frontiers in Psychology ; 11 (2021). - 567817. - Frontiers Research Foundation. - eISSN 1664-1078
Abstract
Cognition is both empowered and limited by representations. The matrix lens model explicates tasks that are based on frequency counts, conditional probabilities, and binary contingencies in a general fashion. Based on a structural analysis of such tasks, the model links several problems and semantic domains and provides a new perspective on representational accounts of cognition that recognizes representational isomorphs as opportunities, rather than as problems. The shared structural construct of a 2×2 matrix supports a set of generic tasks and semantic mappings that provide a unifying framework for understanding problems and defining scientific measures. Our model's key explanatory mechanism is the adoption of particular perspectives on a 2×2 matrix that categorizes the frequency counts of cases by some condition, treatment, risk, or outcome factor. By the selective steps of filtering, framing, and focusing on specific aspects, the measures used in various semantic domains negotiate distinct trade-offs between abstraction and specialization. As a consequence, the transparent communication of such measures must explicate the perspectives encapsulated in their derivation. To demonstrate the explanatory scope of our model, we use it to clarify theoretical debates on biases and facilitation effects in Bayesian reasoning and to integrate the scientific measures from various semantic domains within a unifying framework. A better understanding of problem structures, representational transparency, and the role of perspectives in the scientific process yields both theoretical insights and practical applications.
Summary in another language
Subject (DDC)
150 Psychology
Keywords
2x2 matrix, contingency table, framing effects, Bayesian reasoning, problem solving, scientific measurement, transparency, visualization
Conference
Review
undefined / . - undefined, undefined. - (undefined; undefined)
Cite This
ISO 690NETH, Hansjörg, Nico GRADWOHL, Dirk STREEB, Daniel A. KEIM, Wolfgang GAISSMAIER, 2021. Perspectives on the 2×2 Matrix : Solving Semantically Distinct Problems Based on a Shared Structure of Binary Contingencies. In: Frontiers in Psychology. Frontiers Research Foundation. 11, 567817. eISSN 1664-1078. Available under: doi: 10.3389/fpsyg.2020.567817
BibTex
@article{Neth2021-02-09Persp-53044,
  year={2021},
  doi={10.3389/fpsyg.2020.567817},
  title={Perspectives on the 2×2 Matrix : Solving Semantically Distinct Problems Based on a Shared Structure of Binary Contingencies},
  volume={11},
  journal={Frontiers in Psychology},
  author={Neth, Hansjörg and Gradwohl, Nico and Streeb, Dirk and Keim, Daniel A. and Gaissmaier, Wolfgang},
  note={Article Number: 567817}
}
RDF
<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/server/rdf/resource/123456789/53044">
    <dc:creator>Gradwohl, Nico</dc:creator>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/53044/1/Neth_2-1j38twtpn2rhq7.pdf"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-03-01T12:36:51Z</dc:date>
    <dcterms:abstract xml:lang="eng">Cognition is both empowered and limited by representations. The matrix lens model explicates tasks that are based on frequency counts, conditional probabilities, and binary contingencies in a general fashion. Based on a structural analysis of such tasks, the model links several problems and semantic domains and provides a new perspective on representational accounts of cognition that recognizes representational isomorphs as opportunities, rather than as problems. The shared structural construct of a 2×2 matrix supports a set of generic tasks and semantic mappings that provide a unifying framework for understanding problems and defining scientific measures. Our model's key explanatory mechanism is the adoption of particular perspectives on a 2×2 matrix that categorizes the frequency counts of cases by some condition, treatment, risk, or outcome factor. By the selective steps of filtering, framing, and focusing on specific aspects, the measures used in various semantic domains negotiate distinct trade-offs between abstraction and specialization. As a consequence, the transparent communication of such measures must explicate the perspectives encapsulated in their derivation. To demonstrate the explanatory scope of our model, we use it to clarify theoretical debates on biases and facilitation effects in Bayesian reasoning and to integrate the scientific measures from various semantic domains within a unifying framework. A better understanding of problem structures, representational transparency, and the role of perspectives in the scientific process yields both theoretical insights and practical applications.</dcterms:abstract>
    <dc:contributor>Keim, Daniel A.</dc:contributor>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/53044"/>
    <dc:creator>Streeb, Dirk</dc:creator>
    <dcterms:title>Perspectives on the 2×2 Matrix : Solving Semantically Distinct Problems Based on a Shared Structure of Binary Contingencies</dcterms:title>
    <dcterms:rights rdf:resource="http://creativecommons.org/licenses/by/4.0/"/>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/>
    <dc:contributor>Streeb, Dirk</dc:contributor>
    <dc:contributor>Neth, Hansjörg</dc:contributor>
    <dc:contributor>Gaissmaier, Wolfgang</dc:contributor>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-03-01T12:36:51Z</dcterms:available>
    <dcterms:issued>2021-02-09</dcterms:issued>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/43"/>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/53044/1/Neth_2-1j38twtpn2rhq7.pdf"/>
    <dc:creator>Gaissmaier, Wolfgang</dc:creator>
    <dc:rights>Attribution 4.0 International</dc:rights>
    <dc:creator>Neth, Hansjörg</dc:creator>
    <dc:contributor>Gradwohl, Nico</dc:contributor>
    <dc:creator>Keim, Daniel A.</dc:creator>
    <dc:language>eng</dc:language>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/43"/>
  </rdf:Description>
</rdf:RDF>
Internal note
xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter
Contact
URL of original publication
Test date of URL
Examination date of dissertation
Method of financing
Comment on publication
Alliance license
Corresponding Authors der Uni Konstanz vorhanden
International Co-Authors
Bibliography of Konstanz
Yes
Refereed
Yes