New Developments in Mplus Version 7: Part 2 - Muthén & Muthén

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Random Loadings In IRT, OutlineThree two-level factor models with random loadingsTesting for significance of the random loadingsTwo methods for adding cluster specific factor variance inaddition to the random loadingsAll models can be used with continuous outcomes as wellBengt Muthén & Tihomir Asparouhov New Developments in Mplus Version 7 6/ 159
Random Loadings In IRT ContinuedModel 1 - without cluster specific factor variance, cluster specificdiscrimination, cluster specific difficulty, cluster specific factormeanP(Y ijk = 1) = Φ(a jk θ ij + b jk )a jk ∼ N(a k ,σ a,k ),b jk ∼ N(b k ,σ b,k )θ ij = θ j + ε ijε ij ∼ N(0,1)θ j ∼ N(0,v)Bengt Muthén & Tihomir Asparouhov New Developments in Mplus Version 7 7/ 159
Page 1 and 2: New Developments in Mplus Version 7
Page 3 and 4: Table of Contents II6 3-Level Analy
Page 5: Random Loadings In IRTY ijk - outco
Page 9 and 10: PISA Results - Discrimination (Mean
Page 11 and 12: Country Specific Mean Ability Param
Page 13 and 14: Random Loadings In IRT ContinuedRan
Page 15 and 16: Testing For Non-Zero Variance Of Ra
Page 17 and 18: Testing For Non-Zero Variance Of Ra
Page 19 and 20: Results: Tech16Bengt Muthén & Tiho
Page 21 and 22: Random Loadings In IRT ContinuedMod
Page 23 and 24: Random Loadings In IRT ContinuedMod
Page 25 and 26: Random Loadings In IRT Continued:Ad
Page 27 and 28: Random Loadings In IRT Continued:Ad
Page 29 and 30: Two-Level Random Loadings:Individua
Page 31 and 32: Individual Differences Factor Analy
Page 37 and 38: Critique of 1-Step: Vermunt (2010)H
Page 39 and 40: Advantage of 1-Step Over 3-StepLow-
Page 41 and 42: Auxiliary Variables In Mixture Mode
Page 51 and 52: 3-Step Mixture Modeling For Special
Page 53 and 54: 3-Step Mixture Modeling For Special
Page 55 and 56: Latent Transition AnalysisNew devel
Page 57 and 58:
LTA Example 1: ECLS-K, ContinuedThr
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LTA Example 2: Mover-Stayer LTA Mod
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Latent Transition Probabilities Inf
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LTA with a Binary Covariate as Know
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%c1#3%LTA with a Binary [u11$1] Cov
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LTA Example 1: ECLS-K, Mplus InputT
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LTA Example 1: ECLS-K, Mplus Input,
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LTA Example 1: ECLS-K, Mplus Input,
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TECHNICAL 15 Output, ContinuedP(C2=
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Interaction Displayed Two Equivalen
Page 77 and 78:
LTA with a Continuous Covariate: UG
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[u11$1] (11);LTA with a Continuous
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LTA Exmple 1: ECLS-K,Adding Poverty
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LTA Calculator Applied to Poverty,
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LTA Example 1: ECLS-K, Mplus Input
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Mover-Stayer LTA Modeling In Logist
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! Relating c2 and c3 to c: (Stayers
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Measurement Part of the ModelMODEL
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Mover-Stayer LTA in Probability Par
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Mover-Stayer LTAand Predicting Move
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Exploratory LCA Using Bayesian Anal
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Exploratory LCA Using Bayes Analysi
Page 101 and 102:
Qu-Tan-Kutner ExampleQu T, Tan M, K
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Qu-Kutner Example: Bayes Explorator
Page 105 and 106:
Types Of Observed Variables In 3-Le
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3-Level RegressionLevel 1 : y ijk =
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3-Level Regression Example: UG Exam
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3-Level Regression Example: Nurses
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Input for Nurses Data, ContinuedMOD
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Model Results for Nurses Data, Cont
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3-Level Path Analysis: UG Example 9
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3-Level Path Analysis: Monte Carlo
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3-Level Path Analysis: Monte Carlo
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Monte Carlo Output for UG Ex 9.21,
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3-Level MIMIC Analysis, Continuedy1
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3-Level MIMIC Analysis, Monte Carlo
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Page 131 and 132:
Page 133 and 134:
3-Level Growth AnalysisBengt Muthé
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3-Level Growth Analysis InputTITLE:
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TYPE=THREELEVEL COMPLEX, ContinuedO
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Example Of Multiple Imputation For
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Cross-Classified Data StructureStud
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Cross-Classified ModelingWhy do we
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Cross-Classified Regression: UG Exa
Page 147 and 148:
An Example of Cross-Classified Mode
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TITLE:DATA:VARIABLE:ANALYSIS:MODEL:
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WITHIN levelVariancesPosterior One-
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WITHIN levelachieve ONPosterior One
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Cross-Classified Regression: Input
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New Developments in Mplus Version 7: Part 2 - Muthén & Muthén

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