caa a22 4500 606242104 CHVBK 20210128101316.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s11336-015-9468-7 doi (NATIONALLICENCE)springer-10.1007/s11336-015-9468-7 Generating Correlated, Non-normally Distributed Data Using a Non-linear Structural Model [Elektronische Daten] [Max Auerswald, Morten Moshagen] An approach to generate non-normality in multivariate data based on a structural model with normally distributed latent variables is presented. The key idea is to create non-normality in the manifest variables by applying non-linear linking functions to the latent part, the error part, or both. The algorithm corrects the covariance matrix for the applied function by approximating the deviance using an approximated normal variable. We show that the root mean square error (RMSE) for the covariance matrix converges to zero as sample size increases and closely approximates the RMSE as obtained when generating normally distributed variables. Our algorithm creates non-normality affecting every moment, is computationally undemanding, easy to apply, and particularly useful for simulation studies in structural equation modeling. The Psychometric Society, 2015 Non-normal multivariate data nationallicence Structural equation modeling nationallicence Simulation nationallicence Auerswald Max Department of Psychology, School of Social Sciences, University of Mannheim, Mannheim, Germany aut Moshagen Morten Institute of Psychology, University of Kassel, Holländische Straße 36-38, 34127, Kassel, Germany aut Psychometrika Springer US; http://www.springer-ny.com 80/4(2015-12-01), 920-937 0033-3123 80:4<920 2015 80 11336 https://doi.org/10.1007/s11336-015-9468-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11336-015-9468-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Auerswald Max Department of Psychology, School of Social Sciences, University of Mannheim, Mannheim, Germany aut NATIONALLICENCE 700 1- Moshagen Morten Institute of Psychology, University of Kassel, Holländische Straße 36-38, 34127, Kassel, Germany aut NATIONALLICENCE 773 0- Psychometrika Springer US; http://www.springer-ny.com 80/4(2015-12-01), 920-937 0033-3123 80:4<920 2015 80 11336