BIC and Alternative Bayesian Information Criteria in the Selection of Structural Equation Models

Structural Equation Modeling : a Multidisciplinary Journal
Kenneth A BollenJane Zavisca

Abstract

Selecting between competing Structural Equation Models (SEMs) is a common problem. Often selection is based on the chi square test statistic or other fit indices. In other areas of statistical research Bayesian information criteria are commonly used, but they are less frequently used with SEMs compared to other fit indices. This article examines several new and old Information Criteria (IC) that approximate Bayes Factors. We compare these IC measures to common fit indices in a simulation that includes the true and false models. In moderate to large samples, the IC measures outperform the fit indices. In a second simulation we only consider the IC measures and do not include the true model. In moderate to large samples the IC measures favor approximate models that only differ from the true model by having extra parameters. Overall, SPBIC, a new IC measure, performs well relative to the other IC measures.

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Citations

Mar 17, 2020·Applied Psychology. Health and Well-being·Kathryn E Wilson, Paul A Estabrooks
Apr 3, 2020·PloS One·Laura Moral-BofillFrancisco Pablo Holgado-Tello
May 16, 2015·Journal of Youth and Adolescence·Peter J JankowskiMiguel Ángel Cano
Jul 10, 2016·Neuropsychology Review·Cutter A LindberghL Stephen Miller
Jan 17, 2019·Annual Review of Clinical Psychology·Kristian E Markon
Oct 19, 2016·American Journal of Community Psychology·Jessica ShawDebi Cain
Jan 1, 2016·Structural Equation Modeling : a Multidisciplinary Journal·Gitta H Lubke, Ian Campbell
Jul 16, 2019·Multivariate Behavioral Research·Po-Hsien Huang
Jun 26, 2018·Journal of Child and Family Studies·Jacobien Van Holland De GraafFreek Bucx
Apr 9, 2019·Multivariate Behavioral Research·Donald R WilliamsPhilippe Rast
Nov 4, 2020·International Journal of Environmental Research and Public Health·Vera E SnijdersAnneloes L van Baar
Jan 25, 2021·NeuroImage·Juan Felipe Quinones SanchezAndrea Hildebrandt
Oct 16, 2021·Research Quarterly for Exercise and Sport·Silvio MaltagliatiBoris Cheval
Oct 22, 2021·Nicotine & Tobacco Research : Official Journal of the Society for Research on Nicotine and Tobacco·Sabeeh A Baig

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Software Mentioned

R
sem
sem package
plus
SIM1

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