Estimation of logistic regression models in small samples. A simulation study using a weakly informative default prior distribution

In this paper, we used simulations to compare the performance of classical and Bayesian estimations in logistic regression models using small samples. In the performed simulations, conditions were varied, including the type of relationship between independent and dependent variable values (i.e.,unre...

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Detalhes bibliográficos
Autores: Gordóvil Merino, Amàlia, Guàrdia-Olmos, Joan, 1958-, Peró, Maribel
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2012
País:España
Recursos:Universidad de Barcelona
Repositório:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/121428
Acesso em linha:https://hdl.handle.net/2445/121428
Access Level:Acceso aberto
Palavra-chave:Anàlisi de regressió
Mostreig (Estadística)
Regression analysis
Sampling (Statistics)
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spelling Estimation of logistic regression models in small samples. A simulation study using a weakly informative default prior distributionGordóvil Merino, AmàliaGuàrdia-Olmos, Joan, 1958-Peró, MaribelAnàlisi de regressióMostreig (Estadística)Regression analysisSampling (Statistics)In this paper, we used simulations to compare the performance of classical and Bayesian estimations in logistic regression models using small samples. In the performed simulations, conditions were varied, including the type of relationship between independent and dependent variable values (i.e.,unrelated and related values), the type of variable (i.e., binary and continuous), and different Binomial distribution values and symmetry (i.e., symmetry and positive asymmetry). Iteratively reweighted least squares was used as the estimate method to fit the models in both the classical and Bayesian estimations. A weakly informative default distribution was chosen as the prior distribution for Bayesian estimation. The simulation results demonstrate that Bayesian estimations provide more stable distributions but are notable to solve problems generated by asymmetric distributions based on small samples. Additional research using different kinds of priors that is addressed at solving problems caused by asymmetry is needed.Universitat de València2012info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/121428Articles publicats en revistes (Psicologia Social i Psicologia Quantitativa)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: https://www.uv.es/psicologica/articulos2.12/10GORDOVIL.pdfPsicologica, 2012, vol. 33, num. 2, p. 345-361(c) Gordóvil-Merino, A. et al., 2012info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1214282026-05-27T06:46:51Z
dc.title.none.fl_str_mv Estimation of logistic regression models in small samples. A simulation study using a weakly informative default prior distribution
title Estimation of logistic regression models in small samples. A simulation study using a weakly informative default prior distribution
spellingShingle Estimation of logistic regression models in small samples. A simulation study using a weakly informative default prior distribution
Gordóvil Merino, Amàlia
Anàlisi de regressió
Mostreig (Estadística)
Regression analysis
Sampling (Statistics)
title_short Estimation of logistic regression models in small samples. A simulation study using a weakly informative default prior distribution
title_full Estimation of logistic regression models in small samples. A simulation study using a weakly informative default prior distribution
title_fullStr Estimation of logistic regression models in small samples. A simulation study using a weakly informative default prior distribution
title_full_unstemmed Estimation of logistic regression models in small samples. A simulation study using a weakly informative default prior distribution
title_sort Estimation of logistic regression models in small samples. A simulation study using a weakly informative default prior distribution
dc.creator.none.fl_str_mv Gordóvil Merino, Amàlia
Guàrdia-Olmos, Joan, 1958-
Peró, Maribel
author Gordóvil Merino, Amàlia
author_facet Gordóvil Merino, Amàlia
Guàrdia-Olmos, Joan, 1958-
Peró, Maribel
author_role author
author2 Guàrdia-Olmos, Joan, 1958-
Peró, Maribel
author2_role author
author
dc.subject.none.fl_str_mv Anàlisi de regressió
Mostreig (Estadística)
Regression analysis
Sampling (Statistics)
topic Anàlisi de regressió
Mostreig (Estadística)
Regression analysis
Sampling (Statistics)
description In this paper, we used simulations to compare the performance of classical and Bayesian estimations in logistic regression models using small samples. In the performed simulations, conditions were varied, including the type of relationship between independent and dependent variable values (i.e.,unrelated and related values), the type of variable (i.e., binary and continuous), and different Binomial distribution values and symmetry (i.e., symmetry and positive asymmetry). Iteratively reweighted least squares was used as the estimate method to fit the models in both the classical and Bayesian estimations. A weakly informative default distribution was chosen as the prior distribution for Bayesian estimation. The simulation results demonstrate that Bayesian estimations provide more stable distributions but are notable to solve problems generated by asymmetric distributions based on small samples. Additional research using different kinds of priors that is addressed at solving problems caused by asymmetry is needed.
publishDate 2012
dc.date.none.fl_str_mv 2012
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/121428
url https://hdl.handle.net/2445/121428
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://www.uv.es/psicologica/articulos2.12/10GORDOVIL.pdf
Psicologica, 2012, vol. 33, num. 2, p. 345-361
dc.rights.none.fl_str_mv (c) Gordóvil-Merino, A. et al., 2012
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) Gordóvil-Merino, A. et al., 2012
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat de València
publisher.none.fl_str_mv Universitat de València
dc.source.none.fl_str_mv Articles publicats en revistes (Psicologia Social i Psicologia Quantitativa)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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