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Mplus Discussion
Announcements
Exploratory Factor Analysis
Confirmatory Factor Analysis
Structural Equation Modeling
Multilevel Data/Complex Sample
Latent Variable Mixture Modeling
Growth Modeling of Longitudinal Data
Timepoints
Constraining residual variances in growth models with cat...
Meaning of "variance" in LTM when outcome is categorical...
Regressions Among Random Coefficients
Computing effect sizes of of growth rates
Model identification
Growth Models with Censored Data?
Power Estimation for Intervention Study
Growth model with timevarying variable
Invariance constraints on factor means
Data interpretation
Multilevel Growth Curve Modeling
Specifying a reg path from inpt to slope
Sample size in LGM?
Interpretation of quadratic factor
Comparing two growth trajectories
Latent Growth Curve without the same observations
Std and StdYX coefficients
GGMM with categorical indicators of c
Residual variance and RSquare of slope factor in LGM
Interpreting output
Growth models with agespecific indicators
Confidence Intervals around Growth Curve Trajectories
Longitudinal binary data
Nonlinear LGM
Growth Mixture Survival Analysis
Residual output for GGMM with covariates
Decomposition of variance in growth curve model
Growth modeling with multiple trajectories
Latent Class Growth Analysis
Interpretation and significance of growth factors
Latent growth model with weight variable
Using timevarying predictor of latent class variable
Multiple Indicator Growth Model
Growth modeling with categorical variables
Time scores associated with slope growth factors
Timevarying covariates
Regression paths or correlated residuals between intercep...
Piecewise LGM
Log odds in growth modeling with categorical data
Variances of growth factors
INTERPREATION OF LOG ODDS CHANGE WITH NONLINEAR MODELS
Log odds to odds interpretation with LGM
Modeling the influence of timevarying covariatews in lat...
The RUNALL Utility
The Delta Method
LGM Power Analysis
Contrasts for growthcurve effects
Centering
Three level LGM with latent variables
Meaning of the coefficients in penn8
Complex mixture (multilevel growth mixture model)
Missing data
Factor scores in Growth Mixture Modeling
Initial Status by Treatment Interaction
Negative variance
Aggregate Data Growth Modeling and Fixed/Random effects m...
LGM with two groups
Monte Carlo Modeling
Moderation and monte carlo modeling
Equality constraints in prediction
Factor analysis of latent slopes?
Modeling error structure in growth model.
References
Growth modeling of latent repeated measures
Invariance in observed variables across time
Are slopes hard to predict?
Question of interpreting covariate effects on a nonlinea...
Parallel process for nontimestrucutured data
Two group LGM with time invariant covariates
Two group LGM with categorical data
Multiple cohort
Constraint of x
Effect Size
Piecewise
RMSEA
Parameterization for Parallel & Sequential Growth process...
Shape factors
Power calculations in LGM
Random Time
Experiments, multivlevel data, noncompliance and weights
Random times of observations for two variables
Two parallel processes growth model
Significant Digits for Printed Output
BINARY MULTIPLE INDICATORS
Effect of correlations between growth parameters
Graphing growth curves
LGM and within person correlations
Reading data from ascii file
Two groups analysis in growth models
Added Growth LGM
The old quadratic issue
Piecewise Growth With Individually Varying Times of Meas.
Fitting LGMs and MLMs and comparing results
Cutpoints in Monte Carlo Simulation
About "individuallyvarying times of observation"
No. of decimal places
Error structure in multilevel models
Cohortsequential design with missing data
Testing the threshold assumption in LGC analysis
GEE
Dual trajectory model
Logistic Growth Trajectories
Interaction Model and Fit Indices
Interpretation of coefficients in growth model
Reciprocal effects between slopes
Survival analysis with latent independent variables
An identifiability issue in the EM algorithm
PLOT3 adjusted by covariates
Simple constraints on multigroup mean structure LGM
Decision on Growth Mixture Model
Using Means in LCGA models
Warning messages in GGMM
LCGA and ZeroInflated Poisson Model
Can Mplus mimic a HLM growth curve trick  setting scores...
Levels of analysis in latent growth modeling
Questions on LGC
A flat slope issue?
Intercept factor loadings
Insufficient memory error message
Regression to the mean in LGM
Multivariate longitudinal analysis
Equality constraints on the level1 residual variances wi...
Standardizing the dependent variables  or not!
Question about RMSEA
Very basic question
Slopes as Indicators
Constraining growth curves and interpreting quadratic curves
Negative error variance
LGCM and crosslagged
Mplus 2 vs Mplus 3
MAR instead of censored analyses?
Fixed effects and sem growth models
Significace of nonlinear slopes
Estimation of saturated model for LRT
Growth models with varying time of intervention
Multinomial regression with slope as predictor
Growth of latent variable construct measured by multiple ...
Multiple group parallel process GLM
Interactions: crossproduct vs. multiple group
Sample size for LGM with missing data option
Binary case / Growth Curve Analysis
Individually varying times
Growth modeling about Binary Responses
Convergence
Growth modeling and latent growth curve analysis
Suggestion for Mplus 4 Documentation
NonPositive Definite Psi Matrix
Which model would be appropriate to my data?
Theta MatrixNon positive Definite
Latent growth factors predicting binary outcomes
Simulation and Growth Modeling
Admixture model  M+
LGM with different data collection between groups
Basic questions concerning LGM
GCM  wide range of ages at baseline
Growth modeling with parallel processes
Basics of model estimation
Twolevel latent growth modeling (ex 9.129.13)
Interceptslope relation
Timevarying Covariates ..
Comparing growth curves
Comparing growth curves
Dist Out  Time Vary CV  User Spec Start Values
Missing Data
Appropriate df in meanadjusted chisquare calc
Estimated means for latent growth factors
Diff between LGC and RE models
Growth of normed data
Can this be estimated using LGC?
Growth modeling with factor scores?
Timevarying covariates in GMM
Latent Growth Curve modeling  some Questions
Class membership in LGC mixture modelling?
Zscores in LGM
C#1 ON cg#1 command on GMM with known classes
LGM: Multiple indicator and regular models
Total effects
Power to detect group differences in slope
Slope as mediator
Interpretation Issue of Growth Curve Modeling
LGM with nonlinear data
Correlated Errors in Growth Curve Models
Multigroup tests in multiple growth curve model
Unbalanced data
Graphical display
Interaction between two slopes
Natural log transformation in growth model
Can Mplus 4 estiamte piecewise Gompertz model?
Survival Mixture Analysis
LGC for 3group RCT
Model fit indices for twopart growth model
Mixture growth modeling on sequential processes
Convergence for Linear vs. Nonlinear Models
Parallel Process Growth Model
Smoking cessation trial
Poisson distribution for count data?
Sibling clustering in LGM
Saving intercept and slope scores
Count Data in LDA Using the Poisson Distribution
Binary Outcome Growth Model
Growth model output
Multiple group LGM  some questions
Lgm with missing data
Multiple mediation analysis
Multilevel growth model (threelevel model) ...
Baseline by Tx Interactions in LGM
Interactions in zeroinflated poisson LGCM
Simultaneous growth modelComplex survey data
Wlsmv estimation
How to get predicted values out of a growth model
DTSA latent variable as a predictor?
Multilevel vs. multivariate approach
Limiting the latent classes in a known class
Truly Nonlinear Models
Growth curves and random slopes
Fscoefficients in latent growth models
Freely estimated time scores and more
Interpreting Covariate Effects under ML estimation
Auxillary threshold parameterization binary LCM
Dynamic Nonlinear Panel data
Binary LCM
Significance test in LCM
Class enumeration
Recognising stabilty and change in a growth model
Longitudinal modeling  mplus course
Correlated indicator variables
Growth curve reliability
Power analysis for GGMM with distal outcome
Growth factor intercepts vs means
Specific case assignment to LCGA/GMM?
GMM vs. GGMM
Endogenous variables
Growth modeling of reactivity
Unconditional vs. conditional GMM
Unconditional vs. conditional GMM
Analysis type in growth modeling
Modeling parallel processes
Comparing nested GMMs
The sign of the trend factor
LL difference testing between two models
LGM in intervention research
Random effects Poisson model
Nonpositive definite psi matrix
Integration Points
Singularity in covariance matrix
Problems with Parameter Estimates
Multiple group growth modeling
Effect of the dependence on the invariance tests
GMM vs. LCGA  interpretation of classes
Model Test with growth models
Twopart model with an ordinal outcome
TECH11 and TECH14
GROWTH CURVE MODELING AND BIOMETRICS
Latent Growth Curves with Twin Data
Generating a new latent variable that represents
Model selection, entropy, processing time
No variation in growth parameter estimates
Growth model for categorical outcome
(ALT) Models: How To?
Count and continuous variables in PPLGM
Plot with individuallyvarying time
Autoregressive model vs autocorrelated disturbance
Standardized parameters in growth modeling
Very unequal time intervals
Twopart growth model with continuous data
Is TSB2 implented in MPlus
(L)LCA vs GMM
Problem with adding a quadratic factor
Notation for growth model with ordinal outcome
Modeling a quadratic term with three time points
Modeling a quadratic term with three time points
GCM with Truncated Endogenous Variable
Failure to achieve measurement invariance
Correlation between intercept and slope
Error decomposition
2part piecewise models
Outliers/influential case in Single Class Growth
Monte Carlo setup for Growth Model Power Analysis
Multigroup tests of indirect effects
MG Growth Mixture Model (Syntax Issue)
Warning flag for non+ def 1order deriv matrix
Individual Growth Parameters
Missing data across Class
LCGA Output for Class Membership
GMM, Cont distal outcome, time varying covariate
GGMM equations for ordered & continuous
Lcgm and binary outcome
Number of observations
Modeling a proportion
Timelagged discontinuous growth curves
Nonparametric GMM
Zeroclass in GMM: Model specifications
A lot of questions...
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LTA and distal outcomes
Growth model using zeroinflated poisson model
GMM and Plotting Both Sample and Estimated Means
Comparison of LGC and LCGA
GMM warning
Joint survival and logit model, selectivity
Beta coefficient into effect size
Model fit
Latent growth curve code
COVARIANCE MATRIX NOT POSITIVE DEFINITE
GMM with two growth structures
Individual growth curves
Centering
Age differences in parallel growth processes
MIMIC growth model
GMM with missing/truncated data
Chisquare in discretetime survival model
Groupbased GMM
Zero cells in the bivariate table
Higher Order Latent Growth
Twoclass growth and singleclass growth
Do growth factors have "standard deviations"
Mplus crash
Power for added growth
Multilevel Latent Growth w/ Unstructured Time
Growth modeling with Count data
Growth model with no intercept
Covariates & Constrained (0) Random Variances
Conditional Mean (Intercept & Slope)
Discrepancies in Estimated Cox PH Coefficients
Using longtowide
Mixture model for parallel growth
Question about factor means
Type=RANDOM and standardization
Testing for intervention effects in LGMs
Twopart modeling
Random Starts
Non linear parametric growth curves
Residual variance/covariance
Twopart growth model
Cells with zero covariance coverage
Syntax for basic growth model with ordinal outcome
Question for chisquare test model fit
Modeling 3 waves of data as quadratic trajectory
When to run conditional models
LGM to GMM
Plotting probabilties for categorical outcome
Slope Growth Factor
Interpreting Linear and Quadratic Slope
Intercept of outcome variable
LCGA/GMM with timevarying covariates
Estimated survival probabilities
Interpreting thresholds (in version 5)
Ecological Momentary Assessment
Types of treatment in trajectory classes
Quadratic Effects and Multilevel Growth Modeling
Plot commands about individual growth curves
Path diagram for lgc model with binary outcome
Rank Longitudinal Data
Growth model with interval and binary variables
Modeling of parallel process
Interaction between slope and a covariate
Crossdomain versus parallel processes models
Longitudinal Growth Mixture Models
Syntax for curvilinear effects
GMM and multiple indicators
SemiContinuous GMM
Comparing slopes in piecewise models
RESIDUAL COVARIANCE MATRIX NOT POSITIVE DEFINITE
Starting Values in GMM
Associations between slopes and intercepts
Factor Scores as Predictors
Effect of Covariate
Categorical covariates
OBSERVED INDIVIDUAL growth CURVE
Test the parallel regression assumption
LGCA and warnings
Savedata for growth factors
Mplus Short Courses August 2122 at Johns Hopkins
Odds ratio output for LGMM
Negative Covariate on Negative Slope
Effects of covariates
Longitudinal Data Analysis Excercises
Modeling with TimeVarying Covariates
Missing Data Analysis Exercise: PatternMixture
Missing Data Excercise Cont'd: References
Estimating Power and required Sample in GMM Models
Time Points Varying Across Students
Prelim analysis with ANOVA?
Missingness in semicontinuous model
Practice or retesting effects
Graphing growth cuves for different groups
Growth modeling with many time points
Small sample size
Parallel processes with multiple outcomes
Multiple indicator linear growth models
Missing at random and covariates
Individual estimates of growth factors in LGM
Growth Mixture Modeling with Unbalanced Data
Nonconvergence with centered data
Correlated Residuals with Categorical Dependents
Modeling intecept by T0 measure
Cohort sequential designs
Constraining correlations instead of covariances
Covariates at second time point
Confirmatory GGMM?
Knownclass
LGMM with nested data
Plotting estimated factors
Entropy and interpretation
Control variables in longitudinal model
Fit ARMA model in latent growth model in Mplus
LGM with ZIP
Number of observations
Time score estimation and GMM
Modeling intraindividual variability
Effect size of predictor?
Input question based on LSAY example
Error variance.
Effects of trends on levels
Degrees of freedom in example 6.14
CFA & EFA in Multiple indicator growth model
Comparing Type=Mean Structure and Type=Random
MGA in parallel process model
SAVEDATA command
Latent distal regressed onto GGMM
Error intercorrelations
TSCORES without ""?
Latent distal/ggmm regression with knownclass
Longtowide
Multiple indicator LGM
Regressing covariates on slope
Chisq diff testing
Estimation steps and samples
How to Obtain Asymptotic Covariance Matrices
Too much data?
Extreme skew in longitudinal model
Split plot question
Survival analysis of two time to event outcomes
Partial measurement invariance
Error message about untrustworthy standard error
Seasonal effects
Longitudindal invariance analysis
Parallel process regress on covariates
PPM
Question about plots
Linear growth model with binary outcome
Covariates and their interaction terms.
Cohort effects
GMM and missings
Linear Hypothesis Test?
Test for autocorrelation
Positive linear slope, negative quadratic slope
Class specific constraints in LCGA
Multiple Groups on a Single Graph
Intercept loadings
DTSA  output interpretation
Obtaning and comparing predicted values
Constraints in a GMM
Error trying to plot
Sample and estimated means
Correlated slopes
Fit indices and stand residus with nonnormal data
XWITH w/ multi indicator quadratic growth model
ALT with explicit residual AR & ALT for Count data
Count as DV
Local solution problem??
Cubic spline model
Intercept/slope correlations
Regression of slope on intercept
GMM with standardized variables
Predicting Dummy Covariate from LGM Model
Individuallyvarying times of observations?
Bootstrap LGC
Integration dimension
DTSA Power Analysis
Growth Model with Latent Predictors
Effect size
Confidence interval for distal outcome regression
Growth curve modeling with multiple imputation
CouplingEffect  Interpretation
Small sample for LGA?
Problem with variable / Tech4
A question about TSCORES
Coupling Effects < 0.000
Interpretation of results with covariates
GMM with type=complex
Parameter as a "function of change"
Reordering classes
Cross loadings in measurement instrument
Hierachical effects of covariates in parallel GMM
Sample selection and missing data
Model Fit Statistics
Contradicting results in GGMM
Longitudinal proportion data
First order autoregressive error covariance
Power analysis on Latent Growth Mixture Model
Model warning in LCGA
Linear Spline Model
GMM Residuals
FIi Indices
Handling missingness and zeros
Latent growth modeling of binary outcome in Mplus
Multiple group analysis within GGMM
Intraclass Correlation in unconditional means
LGCM regression slope on intercept vs. correlation
Inequality constraints in a growth model
Multicollinearity in LGM
Understanding Implications of setting variance
When do I use linear growth model?
Error when correlating residuals
Mplus versions
Correlation of covariances
Receiving estimates to more decimal places
Interpretating LGC results for argument
Interpretation of Yaxis in parallel GGMM
Equivalent models in sequential LGCM
Monte Carlo Simulation of Survival Data
Individually varying occasions with nested models
Multiple group growth curvecomplete missing data
Status change model
Multigroup comparison
Calculating Probabilities in growth model
Ceiling effect in growth curve analyses
Monte Carlo data generation for DTSA power
Dynamic #discrete# choice models in MPlus
Scaling in semicontinuous model
Parallel growth model and zero cases
Survival analysis without timecensoring
LGCA with (unused) predictors in the dataset
Growth factor covariances with quadratic growth
Multivariate LGM, growth factor corrs >1.0
Modeling trajectory for latent variables
GMM with type=complex
GMM with different growth parameters
Quadratic growth model with ZIP variables
GMM with distal outcome
SINGULARITY OF THE INFORMATION MATRIX
Growth: multigroup pretest/postest & clustered
GCM with chronological age on xaxis
Specifying a second order curve model
Incorrect Covariance Coverage
Incremental Fit Indices
Parallel growth and survival modeling
Latent curve modeling with Couple data
Interaction term with growth trajectory
GMM and multilevel data
Growth model with Version 6.0 and Version 5.2
Question about data import and ouputs export
Warnings about starts value
Autocorrelation in a Monte Carlo
PostHoc  Differences at Each Time Point
GMM/LCGA  nonlinear with few time points
Categorial predictor of Latent Growth model
Estimated means and variance for LGC models
SEM with Cross SectionalTime Series Data
Measurement distance problem
Multiple indicator LGM  Slope variance
Classspecific time scores
Time unstructured data with two slopes
Plotting piecewise models
Fit indices in complex survey data (TSCORE)
Planned comparisons of slopes
Analysis of change without latent variables
Mediate effect
Starting value
Multivariate survival analysis
Association between a stable slope and an outcome
Plotting growth curves with varying time scores
Thresholds
Negative binomial growth model
Latent Curve Modeling
Categorical indep var in crosslagged panel
Software for plotting growth curves
Measuring over time growth, but not on individuals
Optimal decision of LRT
Process Mixture
TScore question
Modelling change in 2 repeated meausres
Adjusted estimated means plot
High Correlation Between S and Q
Syntax for modeling "holiday effects"
Negative Variance in Growth Factor
Recommend and article?
Covariances vs Correlations
Default in GMM
Mixed ANOVA using sampling weights?
LONGTOWIDE
Plots when modeling categorical data
Covariates with LCGA
Increase model fit
Two level continuous time survival analysis
Fit data to Zeroinflated Poisson
Parallel Process and Multilevel Modeling
Interaction covariates (intercept & slope)
Standard disturbances reporting
Latent growth modeling with three time points data
Getting Mplus to properly read data
Why a WITH statement affects the model fit
Simulation of overdispersion in LGM
Covariances among growth parameters in LGCM
Effect size & slope var for multiple indicator LGM
LGM with binary outcomes
Continuous time and unbalanced measurement
Modeling interaction effects in LGCA
Multicollinearity bivariate autoregressive model
Growth model for three parallel processes
Interpret the growth factor means (binary obs var)
Freed loading growth
Simulating LGM models
Input
Plots
Ploting trajectories of multiple subscales
Multilevel piecewise latent growth model
CPROB output
Growth Model Questions
Weighted Analyses
The number of characters in input line
TSCORE: time variation only available in wave 3
Minimum time points needed for LCGA
RMESA CI
Fixing outcome intercepts for parametrization?
Latent Interactions in Growth Curve Modeling
Mediation Growth Curve Modeling
Conditional effects model
ChiSquare Test for the Baseline Model
Parallel growth curve process: error message
Question on Muthén et al. (2011)
Effect size
Latent Class Growth Anlaysis Quadratic Issue
MIMIC LGM Model
Olsen and Schafer(20010 method and TSCORES option
Psi matrix troubles
Covariance matrix  toplix or homogeneous?
MLGMM with different withinlevel variables?
Significant slope with WLSMV but not MLR estimator
How to interpret the mean of stvc?
Growth model and covariate adjustment
Jshaped Likert items/scales
No growth
Plausible values with varying times of observation
Coefficient changes when introducing MGA to PPM
Set Bayesian Priors in LGM
How to interpret continuoustime survival analysis
Number of INTEGRATION
Interpreting GGMM error messages (various)
Significant effect on insignificant slope?
Nested model
GMM Introduction & Sample Size
Add latent covariate to Level and Shape Model
Growth process in meal composition study
Model fits linear latent growth model
Moderation in a Growth model for two processes
Growth modeling with data missing by design
Predictors of decline
Univariate ALT model
Growth curve multilevel modeling
Multilevel growth modeling
GMM: Fixing Common Intercepts with Random Slopes
LGM interpretation
Bootstrapped standard errors
Correlations > 1
Monte carlo study with GMM
LGM with "underdispered" count data
Mod index of an indicator ON itself
Equality constraints in cohort sequential design
Second order growth model
Getting SRMR in a cohort sequential model
Missing outcome and classification quality
Finding breakpoint in a piecewise model
Multiple group multiple cohort growth model query
Intercepts in orderered logit
Multiple Indicator Linear Growth Model
SEM with latent growth
Multiple group analysis for count outcome LGC
Randomized Clinical Trial
Why slope variance changes in growth models
Time varying covariates
Parallel process model with interations
Pre post data with pre post mediator
LCGM with covariates
Correlations with covariates
Simultaneaous MODEL TEST statements vs one
Zeroclass in LCGA with categorical outcomes
Zeroinflated model w/ categorical covariate
Parallel process count and continuous outcomes
Reporting negative binomial LGM results
A negative variance/residual variance for i?
Conditional Model
Higherorder Multivariate growth curve models
Individually timevarying measurements
Multilevel LGC with unequal time intervals
Measurement invariance bifactor growth model
Matched casecontrol analysis.
Observed by latent variable interaction
Time points for Cubic GMM
Midpoint intercept in growth curve analysis
Meaning of WITH on %BETWEEN% level?
DummyCoded Predictors
Reading CSV into Mplus
Getting posterior class probabilities for cases?
Large variances
Non significant VLMR concerns
NonLinear Constraint in Survival Analysis
Fixing residual variance to zero
Individual varying times of observation
Possible incorrect assignment to class
Structure of data for LGC modeling
Relating three sets of classes in Mplus
Predicting Future Observations
Attrition analysis
LGM with time varying covariates
Intercept with slope is not significant
Competing Risk Model
Use Growth Curves for Imbalanced Crossover Design?
Person fit?
Relative vs. absolute differences
Modeling Outcomes of Change
Plots for Growth Curves Mplus 7.1
Individual vs multigroup model fit
Interpret coefficients for regression w/intercept
Zeroinflated data in LCGA
Interaction in Growth Modeling
Item intercepts in bifactor model
Conditional LCGA/GMM with missing data
Plot: estimated mean and estimed individual values
Multiple group analysis
Plots
Hierarchical IRT model
Bracketed Factor?
Significance Testing of Variance Components
Indirect effect of parallel process of LGM
Moderators in LGM
Negative residual variance
Parallel process GMM  Z scores?
GMM  including covariates or not?
Interpretations of interactions in LGCM
Fixing nonsignificant slopes  or not?
Bivariate latent growth with latent moderation
Constrain TSCORES in a Monte Carlo Growth Model
Effect size for within subject longitudinal change
GMM  variance of slope is fixed to be 0
Procedure for parallel process GMM
Constraining slopes to equality
Loglikelihood for H0 in VLMR and BLRT tests
New 3step approach for GMM with covariates
Problems using a continuos covariate in GMM
Differing number of response categories
Zero inflated variables in a GMM
Zero class in a Twopart GMM
Joinpoint analysis?
Piecewise
Time points in mean trajectory curves
Modeling longitudinal biomarker profiles
LGM with large data set
Centering of Factor Loadings; Effect on ChiSquare
Factor scores with repeated measures
Significance of growth factors
Different output Mac vs. Windows
Mover Stayer Single Variable Model
Covariances with multiple time varying covariates
Sample size for latent class growth analysis
Correlation analysis for longitudinal variables
Discontinuous Modeling
GMM with mothers and children
Constraints for Correlated Uniquenessess
Crosslagged models
2 Part LGM Correlation between 2 latent variables
Exporting class membership in GMM
Dyadic LGM
GMM with Multiple Continuous Outcomes
Adjusted estimated means for parallel processes
How can LCA predict the future?
Growth Curve&Pattern Mixture Model: Interpretation
Missing pvalue in conditional growth model
Parallel piecewise growth w/ estimated time scores
Model constraint and MLR
Growth model combined with formative indicators
Can I reference your online course material?
Lagged effects
Dichotomized variables in the latent growth model
Model Fit Bootstrap PValue
Latent class linear mixed model?
Missing Data Modeling
Categorical Data Modeling
Test topic

