This repository contains all codes used to for the analysis in the article. The data preparation file (Stata) requires a series of data sets from the German Socioeconomic Panel (which cannot be published privately and have to be ordered from the institution) ; the names of the data sets are documented in the readme file. For reproducing the analysis: data_preparation_file : Do fie in stata to produce the working data set "meqdat_long.dta" Script 1 : Measurement Invariance Tests Script 2: MI Test + Latent Means Script 3: Outputs : Fit measure table and figures Script 4: Robustness Check with Threshold Invariance Test Script 5: Fit measure table and figures from Robustness Check Script 4 Script 6: Robustness Check (Only Model 5) with MLR estimator