Not quite normal: Consequences of violating the assumption of normality in regression mixture models

Structural Equation Modeling : a Multidisciplinary Journal
M Lee Van HornGeorge Howe

Abstract

Regression mixture models are a new approach for finding differential effects which have only recently begun to be used in applied research. This approach comes at the cost of the assumption that error terms are normally distributed within classes. The current study uses Monte Carlo simulations to explore the effects of relatively minor violations of this assumption, the use of an ordered polytomous outcome is then examined as an alternative which makes somewhat weaker assumptions, and finally both approaches are demonstrated with an applied example looking at differences in the effects of family management on the highly skewed outcome of drug use. Results show that violating the assumption of normal errors results in systematic bias in both latent class enumeration and parameter estimates. Additional classes which reflect violations of distributional assumptions are found. Under some conditions it is possible to come to conclusions that are consistent with the effects in the population, but when errors are skewed in both classes the results typically no longer reflect even the pattern of effects in the population. The polytomous regression model performs better under all scenarios examined and comes to reasonable results with ...Continue Reading

References

Mar 16, 1990·Science·P L Ellickson, R M Bell
Mar 21, 1998·Child Development·G H Elder
Oct 8, 1999·The American Psychologist·T J DishionF Poulin
Nov 26, 1999·American Journal of Community Psychology·S G KellamEve K Mościcki
Aug 6, 2002·Science·Avshalom CaspiRichie Poulton
Aug 23, 2003·Biostatistics·Bengt MuthénJason Liao
Dec 16, 2003·Cognitive, Affective & Behavioral Neuroscience·Jennifer D Ryan, Neal J Cohen
Dec 21, 2005·Prevention Science : the Official Journal of the Society for Prevention Research·Brian R FlayPeter Ji
Jun 23, 2006·Prevention Science : the Official Journal of the Society for Prevention Research·Richard SpothKari Azevedo
Jul 24, 2008·Substance Use & Misuse·Karol L KumpferJulia Franklin Summerhays
May 11, 2010·Clinical Research in Cardiology : Official Journal of the German Cardiac Society·T LambertR Hofmann
Apr 1, 2008·Multivariate Behavioral Research·M Lee Van HornRichard F Catalano

Citations

Oct 24, 2014·Journal of Quantitative Criminology·Abigail A FaganThomas Jaki
Jun 28, 2016·Structural Equation Modeling : a Multidisciplinary Journal·Veronica T Cole, Daniel J Bauer
Nov 12, 2015·Educational and Psychological Measurement·M Lee Van HornMinjung Kim
Jan 1, 2019·Multivariate Behavioral Research·Kathryn S Macia, Robert E Wickham
Jun 6, 2014·Journal of Developmental Origins of Health and Disease·M S GilthorpeE Goodman
Jun 4, 2019·Behavior Research Methods·Minjung KimAndrew J Bush
Jul 3, 2019·Multivariate Behavioral Research·Veronica T ColeAndrea M Hussong
Nov 1, 2013·Multivariate Behavioral Research·Melissa R W GeorgeM Lee Van Horn
Oct 28, 2017·Structural Equation Modeling : a Multidisciplinary Journal·Veronica T ColeMichael L Giordano
Dec 12, 2018·Communications in Statistics: Simulation and Computation·Thomas JakiM Lee Van Horn
Dec 5, 2019·The Journal of the Acoustical Society of America·Junjie ShiQingyu Liu
Apr 20, 2020·Prevention Science : the Official Journal of the Society for Prevention Research·Albert J Burgess-Hull
Mar 27, 2019·Educational and Psychological Measurement·Thomas JakiM Lee Van Horn
Jan 1, 2016·Structural Equation Modeling : a Multidisciplinary Journal·Kim MinjungVan Horn M Lee
Apr 17, 2020·Quality of Life Research : an International Journal of Quality of Life Aspects of Treatment, Care and Rehabilitation·Andreas Westh VilsbøllCathrine Elgaard Jensen

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