Regression and Mediation Analysis Using Mplus (August 16)
The course covers the basic building blocks used in the general latent variable modeling framework of Mplus. The focus is on regression modeling
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which is part of many different types of analyses such as mediation analysis, factor analysis, Item Response Theory analysis, growth modeling, mixture modeling, and multilevel modeling. In addition to regression with a continuous dependent variable, this involves building blocks for binary, ordinal, nominal, count, and censored dependent variable using logistic, probit, multinomial logistic, Poisson, zeroinflated Poisson, negative binomial, censorednormal (Tobit), censoredinflated, Heckman, and twopart modeling.
The course covers the modern treatment of mediation analysis using counterfactuallydefined causal effects. A unique feature is an emphasis on mediation with binary, ordinal, nominal, count, and censored mediators and outcomes, avoiding shortcomings of traditional effect definitions.
The course gives an introduction to Bayesian analysis as implemented in Mplus. Examples of Bayesian advantages over maximumlikelihood estimation are discussed. An introduction is also given to missing data analysis under MCAR, MAR, and NMAR assumptions using maximumlikelihood and Bayesian analysis. A particular emphasis is on missing data for covariates including covariates that are binary.
Mplus inputs and outputs are discussed for a multitude of realdata examples as well as for Monte Carlo simulations.
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Dynamic Structural Equation Modeling of Intensive Longitudinal Data Using Mplus Version 8 (August 1718)
Time series analysis is used to analyze intensive longitudinal data such as those obtained with ecological momentary assessments, experience sampling methods, daily diary methods, and ambulatory assessments. Such data typically have a large number of time points
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nested within individuals. Individual differences in level1 parameters such as the mean, variance, and autocorrelation are represented as random effects that are modeled on level 2 in a twolevel analysis.
Mplus Version 8, released April 20, 2017, offers twolevel, crossclassified, as well as singlelevel (N=1) time series analysis. In crossclassified analysis the random effects are allowed to vary not only across individuals but also across time to represent timevarying effects.
Mplus can estimate a variety of N=1, twolevel and crossclassified time series models. These include univariate autoregressive, regression, crosslagged, confirmatory factor analysis, Item Response Theory, and structural equation models for continuous, binary, ordered categorical (ordinal), or combinations of these variable types. Bayesian analysis is used in the estimation using a flexible latent variable modeling framework referred to as dynamic structural equation modeling (DSEM).
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