Basically most studies of "structural equation modelling + time-series data" focus on longitudinal datasets (e.g., (residual) dynamic SEM). However, for a questionnaire survey or measure at a single time, participants' psychological status (latent variables) gets repeated-measured. Since responses are not obtained simultaneously, it's reasonable to treat responses from individuals as time-series data as well. I wonder if there's any research that discusses this type of models (cross sectional dataset + time-series data + SEM)?

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