Model Fit and Comparison in Finite Mixture Models: A Review and a Novel Approach

Kevin J. Grimm, Russell Houpt, Danielle Rodgers

Research output: Contribution to journalArticlepeer-review

Abstract

One of the greatest challenges in the application of finite mixture models is model comparison. A variety of statistical fit indices exist, including information criteria, approximate likelihood ratio tests, and resampling techniques; however, none of these indices describe the amount of improvement in model fit when a latent class is added to the model. We review these model fit statistics and propose a novel approach, the likelihood increment percentage per parameter (LIPpp), targeting the relative improvement in model fit when a class is added to the model. Simulation work based on two previous simulation studies highlighted the potential for the LIPpp to identify the correct number of classes, and provide context for the magnitude of improvement in model fit. We conclude with recommendations and future research directions.

Original languageEnglish (US)
Article number613645
JournalFrontiers in Education
Volume6
DOIs
StatePublished - Mar 4 2021
Externally publishedYes

Keywords

  • finite mixture model
  • growth mixture modeling
  • latent class analyses
  • latent profile analysis
  • model comparison

ASJC Scopus subject areas

  • Education

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