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SEM – special approaches. P. Soukup. Special approaches. Latent growth analysis – models for longitudinal data Multiple group analysis - measurement invariance. Latent growth models (longitudinal data). Latent growth models. For longitudinal data
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SEM – special approaches P. Soukup
Special approaches • Latentgrowthanalysis – modelsforlongitudinal data • Multiplegroupanalysis - measurement invariance
Latent growth models • Forlongitudinal data • Alternative to timeseriesanalysis • Dependentvariable (repeatedlkyobserved) is not manifest but latent • Requirement: • At least 3 timepoints • Problem: • Decideabouttrajectory (line, quadraticfunction, etc.) Tutorial: https://www.youtube.com/watch?v=MU15zlp5d1E
Types for latent growth models • Basic model – onlytrajectory • Advanced model – usesothervars as predictorsfortrajectory and intercept (difference in interpcept and/or slopeforboys and girls)
Multiple group analysis (MGA) • Basic question: Can we apply the same model for different groups? (např. Men/women, old/young) • Try to find equality of parameters • Evaluation : χ2 tests and CFI difference
3 levels • Three levels of invariance: • Configural • Metric • Scalar
Configural invariance:„the same pattern for picture “ Group 1 Groups 2 • Source: Anýžová, P. Srovnatelnost Schwartzovy hodnotové škály v datech z šesté vlny Evropského sociálního výzkumu. Sociologický časopis
Metric invariance :„equality of slopes “ Group 1 Groups 2 • Source: Anýžová, P. Srovnatelnost Schwartzovy hodnotové škály v datech z šesté vlny Evropského sociálního výzkumu. Sociologický časopis
Scalar invariance :„equality of slopes and intercepts “ Group 1 Groups 2 • Source: Anýžová, P. Srovnatelnost Schwartzovy hodnotové škály v datech z šesté vlny Evropského sociálního výzkumu. Sociologický časopis
Diagnosis of measurement invariance • χ2 tests comparisons (too strčit) • Cheung&Rensvold - CFI change max 0,01 • Approximate approaches - not available in AMOS