Introductory And Intermediate Growth Models - Mplus

Model Estimated Average And IndividualGrowth Curves With CovariatesModel:y ti = η 0i + η 1i x t + ε ti , (23)η 0i = α 0 + γ 0 w i + ζ 0i , (24)η 1i = α 1 + γ 1 w i + ζ 1i , (25)Estimated growth factor means:Ê(η 0i ) = ˆ α0+ˆ0w γ , (26)Ê(η 1i ) = ˆ α + γ . (27)1ˆ1 wEstimated outcome means:Ê(y ti ) = Ê(η 0i ) + Ê(η 1i ) x t . (28)Estimated outcomes for individual i :yˆ ti = ηˆ0i + ηˆ1i xtwhere ˆ0iη and ηˆ1 i are estimated factor scores. y ti can beused for prediction purposes.(29)95Model Estimated Means With CovariatesModel estimated means are available using the TECH4 and RESIDUAL options ofthe OUTPUT command.Estimated Intercept Mean = Estimated Intercept +Estimated Slope (Female)*Sample Mean (Female) +Estimated Slope (Mothed)*Sample Mean (Mothed) +Estimated Slope (Homeres)*Sample Mean (Homeres)38.43 + 2.12*0.48 + 2.26*2.35 + 1.75*3.12 = 50.22Estimated Slope Mean = Estimated Intercept +Estimated Slope (Female)*Sample Mean (Female) +Estimated Slope (Mothed)*Sample Mean (Mothed) +Estimated Slope (Homeres)*Sample Mean (Homeres)2.64 – 0.13*0.48 + 0.22*2.35 + 0.27*3.11 = 3.949648