Small-Variance Priors Can Prevent Detecting Important Misspecifications in Bayesian Confirmatory Factor Analysis

Terrence D. Jorgensen, Mauricio Garnier-Villarreal, Sunthud Pornprasermanit, Jaehoon Lee

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

We simulated Bayesian CFA models to investigate the power of PPP to detect model misspecification by manipulating sample size, strongly and weakly informative priors for nontarget parameters, degree of misspecification, and whether data were generated and analyzed as normal or ordinal. Rejection rates indicate that PPP lacks power to reject an inappropriate model unless priors are unrealistically restrictive (essentially equivalent to fixing nontarget parameters to zero) and both sample size and misspecification are quite large. We suggest researchers evaluate global fit without priors for nontarget parameters, then search for neglected parameters if PPP indicates poor fit.

Original languageEnglish
Title of host publicationQuantitative Psychology - 83rd Annual Meeting of the Psychometric Society, 2018
EditorsRianne Janssen, Steven Culpepper, Marie Wiberg, Dylan Molenaar, Jorge González
PublisherSpringer New York LLC
Pages255-263
Number of pages9
ISBN (Print)9783030013097
DOIs
StatePublished - 2019
Event83rd Annual meeting of the Psychometric Society, 2018 - New York, United States
Duration: Jul 9 2018Jul 13 2018

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume265
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

Conference83rd Annual meeting of the Psychometric Society, 2018
CountryUnited States
CityNew York
Period07/9/1807/13/18

Keywords

  • Bayesian inference
  • Confirmatory factor analysis
  • Model evaluation
  • Model modification
  • Structural equation modeling

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  • Cite this

    Jorgensen, T. D., Garnier-Villarreal, M., Pornprasermanit, S., & Lee, J. (2019). Small-Variance Priors Can Prevent Detecting Important Misspecifications in Bayesian Confirmatory Factor Analysis. In R. Janssen, S. Culpepper, M. Wiberg, D. Molenaar, & J. González (Eds.), Quantitative Psychology - 83rd Annual Meeting of the Psychometric Society, 2018 (pp. 255-263). (Springer Proceedings in Mathematics and Statistics; Vol. 265). Springer New York LLC. https://doi.org/10.1007/978-3-030-01310-3_23