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This project contains supplementary material, data, and R scripts in order to reproduce the results from the manuscript "Should regularization replace simple structure rotation in Exploratory Factor Analysis?" (accepted for publication in Structural Equation Modeling: A Multidisciplinary Journal). In **Condition_Complex2.pdf**, we report the results of an additional simulation condition that we investigated during the discussions in the review process. In this condition, even higher cross-loadings were specified for the population. A short summary can be found in the file as well. The file **Supplementary.pdf** contains supplementary tables in which all parameters estimates (i.e., factor loadings and factor correlations) are reported in detail. Please open **Simulations.Rproj** for the scripts to work without additional path adjustments. For each study, the following files are provided: - **Analyses#.R:** Analyses of simulation results - **loadings.xlsx:** Population loading matrices - **metaSim#.R:** Main script to run the simulations - **model.txt:** Contains the measurement model for the regSEM in lavaan syntax - **Study#.Rdata:** Simulation results reported in the paper - **toolfunctions.R:** Utility function to generate the measurement model If any questions occur, please do not hesitate to contact us.