Mplus
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June 08, 2026
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Mplus
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Mplus Short Course Handouts

Table Of Contents For Day 1
Traditional Latent Variable Modeling Using Mplus

Factor Analysis 1
    Exploratory Factor Analysis
8
    Confirmatory Factor Analysis
33
      EFA In A CFA Framework
49
      Simple Structure CFA
57
      Special Factor Analysis Models
63
Measurement Invariance And Population Heterogeneity 68
CFA With Covariates (MIMIC) 72
Multiple Group Analysis 91
Path Analysis And Latent Variable Structural Equation Modeling (SEM) 105
    Path Analysis
108
    Indirect Effects
113
    Measurement Errors And Multiple Indicators Of Latent Variables
115
    SEM
119
References 126

Table Of Contents For Day 2
Growth Modeling With Latent Variables Using Mplus

Typical Examples Of Growth Modeling 1
    Basic Modeling Ideas
9
    The Latent Variable Growth Model In Practice
19
Simple Examples Of Growth Modeling -- Linear Growth Model Without Covariates 34
    Growth Model With Free Time Scores
44
    Covariates In The Growth Model
52
    Centering
61
    Further Practical Issues - Non-Linear Growth
65
    Piecewise Growth Modeling
68
    Growth Model With Individually Varying Time Of Observation and Random Slopes For Time-Varying Covariates
73
    Regressions Among Random Effects
80
    Growth Modeling With Parallel Processes
82
Advanced Growth Models 90
    Multiple Populations
93
    Growth Modeling With Multiple Indicators
112
    Power For Growth Models
129
    Embedded Growth Models
141
References 145

Table Of Contents For Day 3
Special Topics in Latent Variable Modeling Using Mplus

Analysis With Categorical Data 1
    CFA With Covariates (MIMIC)
8
    IRT
23
    Path Analysis
24
    Practical Issues In The Analysis Of Categorical Outcomes
25
    Technical Issues
34
    Multiple Group Analysis
38
    Growth Models With Categorical Outcomes
40
Analysis With Multilevel Data 46
    Multilevel Regression Model
52
    Multilevel Factor Analysis Model
59
    Multiple Group Multilevel Model
70
    Multivariate Modeling Of Family Members
78
    Multilevel Growth Models
81
Analysis With Missing Data 91
    Growth Model With Missing Data
100
References 107

Table Of Contents For Day 4
Modeling With Categorical Latent Variables Using Mplus

Analysis With Categorical Latent Variables 1
Latent Class Analysis 7
    Practical Issues Related To LCA
17
    NLSY Antisocial Behavior Example
20
Latent Class Analysis With Covariates 32
Confirmatory Latent Class Analysis With Several Latent Classes 44
Latent Class Growth Analysis 51
Randomized Trials With Non-Compliance 56
Growth Mixture Modeling 65
    Strategy For Finding The Number Of Classes
72
    LSAY Math Achievement Example
74
General Growth Mixture Modeling 85
    NLSY Alcohol Example
90
    Reading Skills Example
97
    Growth Mixtures In Randomized Trials
106
Discrete-Time Survival Analysis 112
Two-Class Discrete-Time Survival Analysis 121
References 125

Table Of Contents For Day 5
New Features In Mplus Version 3

Overview Of What's New In Mplus Version 3 1
New Estimators In Mplus Version 3 5
Numerical Integration 7
Random Slopes 11
New In Version 3 For SEM 13
    ML Path Analysis With Categorical Outcomes
14
    ML Factor Analysis With Categorical Indicators
19
    Interaction Modeling Using ML
23
    Indirect Effects
30
    Constraining Parameters
32
New In Version 3 For Growth Modeling 33
    ML Growth Modeling With A Categorical Outcome
38
    Two-Part Growth Modeling
44
    Growth Model With An Interaction Using ML
54
New In Version 3 For Multilevel Modeling 60
    Twolevel Path Analysis With Categorical Outcomes
61
    Twolevel Factor Analysis With Categorical Outcomes
66
    Twolevel Random Slopes For Regressions Among Factors
71
New In Version 3 For Mixture Modeling 79
    Random Starts
80
    Multiple Categorical Latent Variables
84
    Latent Class Analysis With Random Effects
90
    Discrete-Time Survival Frailty Modeling
101
    Prediction Of Categorical Latent Variables
102
    Twin Modeling
109
    Hybrid Model
113
    Growth Mixture Modeling With A Categorical Outcome
115
    Multilevel Growth Mixture Modeling
119
Graphics 129
References 133