Mixture Factor Analysis for Approximating a Nonnormally Distributed Continuous Latent Factor With Continuous and Dichotomous Observed Variables

Multivariate Behavioral Research
Melanie M WallYasuo Amemiya

Abstract

Mixture factor analysis is examined as a means of flexibly estimating nonnormally distributed continuous latent factors in the presence of both continuous and dichotomous observed variables. A simulation study compares mixture factor analysis with normal maximum likelihood (ML) latent factor modeling. Different results emerge for continuous versus dichotomous outcomes. For dichotomous outcomes, normal ML path estimates have bias that worsens as latent factor skew/kurtosis increases and does not diminish as sample size increases, whereas the mixture factor analysis model produces nearly unbiased estimators as sample sizes increase (500 and greater) and offers near nominal coverage probability. For continuous outcome variables, both methods produce factor loading estimates with minimal bias regardless of latent factor skew, but the mixture factor analysis is more efficient. The method is demonstrated using data motivated by a study on youth with cystic fibrosis examining predictors of treatment adherence. In summary, mixture factor analysis provides improvements over normal ML estimation in the presence of skewed/kurtotic latent factors, but due to variability in the estimator relating the latent factor to dichotomous outcomes an...Continue Reading

References

Oct 1, 1992·Statistics in Medicine·S M Butler, T A Louis
Mar 7, 1983·Health Affairs·A N Johnson, D Aquilina
Apr 25, 2001·Biometrics·R J CarrollL Wasserman
Apr 25, 2001·Biometrics·B Muthén, K Shedden
Jun 14, 2003·The British Journal of Mathematical and Statistical Psychology·Sik-Yum Lee, Xin-Yuan Song
Aug 23, 2003·Biostatistics·Bengt MuthénJason Liao
May 13, 2004·Psychological Methods·Patrick J CurranMichael T Willoughby
Dec 16, 2004·Psychological Methods·Larry V Hedges, Therese D Pigott
Apr 7, 2005·Psychological Methods·Gitta H Lubke, Bengt Muthén
Dec 17, 2008·Pediatric Pulmonology·Joän M PattersonCarlos Milla
Oct 1, 1997·Multivariate Behavioral Research·S Mattson

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Citations

Nov 27, 2015·Multivariate Behavioral Research·Holger Brandt, Andreas G Klein
Jul 18, 2015·Behavior Research Methods·Kelly M Babchishin, Leslie-Maaike Helmus
Oct 29, 2014·Journal of Youth and Adolescence·Tatiana Alina Trifan, Håkan Stattin
Sep 25, 2016·Journal of Psychosomatic Research·Emily R Doherty-TorstrickBrian A Fallon
Aug 16, 2016·Age and Ageing·Wendy T M EnthovenPim A J Luijsterburg
Feb 5, 2015·Research on Aging·I-Fen Lin, Hsueh-Sheng Wu
Dec 7, 2013·Annals of Behavioral Medicine : a Publication of the Society of Behavioral Medicine·Rod K DishmanMolly S Bray
Mar 17, 2018·Age and Ageing·Andrea L MettiCaterina Rosano
Aug 16, 2019·Dyslexia : the Journal of the British Dyslexia Association·Malena ÅvallJan-Eric Gustafsson
Dec 20, 2018·AIDS and Behavior·Venkatesan ChakrapaniTrace S Kershaw
Jul 19, 2017·Psychological Science·Michael J KaneThomas R Kwapil
Jul 22, 2017·The British Journal of Psychiatry : the Journal of Mental Science·Dominic T PlantSusan Pawlby
Nov 1, 2015·Applied Psychological Measurement·Melanie M WallIrini Moustaki

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Software Mentioned

Mplus
RCLOG

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