An AIC-type information criterion evaluating theory-based hypotheses for contingency tables

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dc.contributor.authorAltinisik, Yasin
dc.contributor.authorHessels, Roy S.
dc.contributor.authorVan Lissa, Caspar J.
dc.contributor.authorKuiper, Rebecca M.
dc.date.accessioned2025-03-23T19:26:11Z
dc.date.available2025-03-23T19:26:11Z
dc.date.issued2025
dc.departmentSinop Üniversitesi
dc.description.abstractResearchers face inevitable difficulties when evaluating theory-based hypotheses in the context of contingency tables. Log-linear models are often insufficient to evaluate such hypotheses, as they do not provide enough information on complex relationships between cell probabilities in many real-life applications. These models are usually used to evaluate the relationships between variables using only equality restrictions between model parameters, while specifying theory-based hypotheses often also requires inequality restrictions. Moreover, high-dimensional contingency tables generally contain low cell counts and/or empty cells, complicating parameter estimation in log-linear models. The presence of many parameters in these models also causes difficulties in interpretation when evaluating the hypotheses of interest. This study proposes a method that simplifies evaluating theory-based hypotheses for high-dimensional contingency tables by simultaneously addressing each of the above problems. With this method, theory-based hypotheses, which are specified using equality and/or inequality constraints with respect to (functions of) cell probabilities, are evaluated using an AIC-type information criterion, GORICA. We conduct a simulation study to evaluate the performance of GORICA in the context of contingency tables. Two empirical examples illustrate the use of the method.
dc.description.sponsorshipRepublic of Turkiye, Ministry of National Education; Netherlands Organization for Scientific Research (NWO) [451-16-019]; Consortium on Individual Development (CID); Gravitation program of the Dutch Ministry of Education, Culture, and Science; Netherlands Organization for Scientific Research (NWO) [024.001.003]
dc.description.sponsorshipThis research was supported by The Republic of Turkiye, Ministry of National Education, the Netherlands Organization for Scientific Research (NWO; VENI Grant 451-16-019), and The Consortium on Individual Development (CID), that is funded by the Gravitation program of the Dutch Ministry of Education, Culture, and Science and the Netherlands Organization for Scientific Research (NWO grant number 024.001.003).
dc.identifier.doi10.3758/s13428-024-02570-6
dc.identifier.issn1554-351X
dc.identifier.issn1554-3528
dc.identifier.issue2
dc.identifier.pmid39843725
dc.identifier.scopus2-s2.0-85216607677
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3758/s13428-024-02570-6
dc.identifier.urihttps://hdl.handle.net/11486/4653
dc.identifier.volume57
dc.identifier.wosWOS:001404746900002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakPubMed
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofBehavior Research Methods
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250323
dc.subjectAIC
dc.subjectContingency tables
dc.subjectGORICA
dc.subject(In)equality constraints
dc.subjectTheory-based hypotheses
dc.titleAn AIC-type information criterion evaluating theory-based hypotheses for contingency tables
dc.typeArticle

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