Introductory And Intermediate Growth Models - Mplus

Random Effects: Mixed LinearModeling And SEM (Continued)SEM in matrix form:y i = v + Λη i + Κ x i + ε i , (53)η i = α + Βη i + Γ x i + ζ i . (54)y i = fixed part + random part= v + Λ (Ι – Β) -1 α + Λ (Ι – Β) -1 Γ x i + Κ x i+ Λ (Ι – Β) -1 ζ i + ε i .Assume x ti = x t , κ i = κ t in (39). Then (39) is handled by(53) and (40) – (41) are handled by (54), putting x t in Λ andw ti , w i in x i .Need for Λ i , Κ i , Β i , Γ i .35Growth Modeling Approached In Two Ways:Data Arranged As Wide Versus Long• Wide: Multivariate, Single-Level Approachyy ti = i i + s ix timeti + ε tiisi i regressed on w is i regressed on w iw• Long: Univariate, 2-Level Approach (CLUSTER = id)WithinBetweenitimesiywsThe intercept i is called y in Mplus3618