Key outcomes
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Products and publications
ERIC Citations: Find available citations in ERIC for this award here.
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Journal Articles
McNeish, D. & Bauer, D.J. (2022). Reducing incidence of nonpositive definite covariance matrices in mixed effect models. Multivariate Behavioral Research, 3-8-340.
McNeish, D. & Harring, J.R. (2020). Covariance pattern mixture models: Eliminating random effects to improve convergence and performance. Behavior Research Methods, 52, 947-979.
McNeish, D. & Harring, J.R. (2021). Improving convergence in growth mixture models without covariance structure constraints. Statistical Methods in Medical Research, 30, 994-1012.
McNeish, D., Harring, J.R., & Bauer, D.J. (2022). Nonconvergence, covariance constraints, and class enumeration in growth mixture models. Psychological Methods.
McNeish, D., Peña, A., Vander Wyst, K.B., Ayers, S.L., Olsen, M.L., & Shaibi, G.Q. (2021). Facilitating growth mixture model convergence in preventive interventions. Prevention Science.
Peña, A., McNeish, D., Ayers, S.L., Olson, M.L., Vander Wyst, K.B., Williams, A.N., & Shaibi, G.Q. (2020). Response heterogeneity to lifestyle intervention among Latino adolescents. Pediatric Diabetes, 21, 1430-1436.
Perez, M., Winstone, L.K., Hernández, J.C., Curci, S.G., McNeish, D., & Luecken, L.J (2022). Association of BMI Trajectories with Cardiometabolic Risk at age 7.5 years among Low-income Mexican American children. Journal of Pediatrics.
Supplemental information
- The project team proposed the hypothesis that random effects make growth mixture model estimation difficult and taking random effects out of growth mixture models should improve estimation and should not adversely affect the ability of a covariance pattern mixture model to answer relevant research questions. They performed a simulation which showed that the covariance pattern version of the model demonstrated much better convergence properties and, as a result, was better at identifying who belonged in which class and what the growth trajectories should be (McNeish & Harring, 2020).
- The project team addressed the disadvantage of the covariance pattern approach for growth mixture models that specifying a marginal covariance in covariance pattern models is difficult with many repeated measures because there are too many parameters. They showed that large covariance matrices can be represented as a factor analytic covariance matrix to reduce their dimensionality and the number of parameters needed to fill the matrix (McNeish & Bauer 2022).
- The project team carried out a simulation study to assess the class enumeration properties of covariance pattern mixture models relative to other methods. The simulation generated data from a growth mixture model and examined conditions that are common in empirical studies but that are known to be challenging to estimate with conventional methods. Different types of mixture models were fit to assess how well often each method would extract the correct number of classes in these conditions. The simulation showed that he covariance pattern model performed the best and (a) converged most often, (b) most often extracted the correct number of classes, and (c) best assigned observations to the correct class (McNeish, Harring, & Bauer 2022).
- The project team carried out a simulation study comparing how well four methods of growth mixture models dealt with missing data and found that the covariance pattern growth mixture model performed best across conditions as its convergence was unaffected by attrition whereas convergence with the other methods declined as a function of the attrition percentage (McNeish & Harring 2021).
- The project team originally proposed to develop a generalized estimating equation version of a growth mixture model. Between the time the proposal was submitted and the project period, other research groups had largely accomplished this work so the project team redirected its efforts to the use of a factor analytic covariance matrix described above.
- The project team took part in a series of empirical papers to demonstrate how covariance pattern growth mixture models conceptually work; can be fit, interpreted, and reported with real data; and successfully converge and provide interpretable results even where other approaches have failed because only a modest sample is available for analysis (McNeish et al. 2021; Pena et al. 2020; Perez et al. 2022).
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