Introductory And Intermediate Growth Models - Mplus
Introductory And Intermediate Growth Models - Mplus
Introductory And Intermediate Growth Models - Mplus
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Random Effects: SEM <strong>And</strong>Multilevel Modeling (Continued)SEM approach:• x t as parameters: Flexible growth function form• Slopes for time-varying covariates vary over time pointsStructural part (same as level 2, except for κ t ):η 0i = α 0 + γ 0 w i + ζ 0i , (48)η 1i = α 1 + γ 1 w i + ζ 1i , (49)κ t not involved (parameter).33Random Effects: MixedLinear Modeling <strong>And</strong> SEMMixed linear model in matrix form:y i = (y 1i , y 2i , …, y Ti ) ́ (51)= X i α + Z i b i + e i . (52)Here, X, Z are design matrices with known values, α containsfixed effects, and b contains random effects. Compare with(43) - (45).3417
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