Notes
The ESEM configural model was identified in accord with Muthén’s recommendations for ESEM multi-group models with categorical variables and theta parameterization (Muthén and Muthén 1998–2011). Specifically, all item residuals were initially constrained to 1 in both groups and latent factor means were constrained to 0 in both groups. Further, to estimate the ESEM model across groups, latent factor variances were set to 1 across groups. Once factor loadings and thresholds were constrained to equality across groups for the strong invariance tests, constraints on latent factor means and variances and item residuals were released in the second non-reference group.
Chi-square differences using the WLSMV estimator were ascertained from an algorithm based on Asparouhov et al. (2006).
Partial invariance tests of latent factor means is not possible in ESEM.
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This study was supported in part by Award Numbers K01MH086687 and L60MD001839 from the National Institute of Mental Health and the National Center on Minority Health and Health Disparities. The content of this article is solely the responsibility of the authors and does not necessarily represent the official views of the funding agencies. We would like to thank Roger Millsap, Department of Psychology, Arizona State University, Daniel Sass, Department of Educational Psychology, University of Texas San Antonio and Augustine Osman, Department of Psychology, University of Texas San Antonio for their methodological consultation.
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Pina, A.A., Little, M., Wynne, H. et al. Assessing Social Anxiety in African American Youth using the Social Phobia and Anxiety Inventory for Children. J Abnorm Child Psychol 42, 311–320 (2014). https://doi.org/10.1007/s10802-013-9775-3
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DOI: https://doi.org/10.1007/s10802-013-9775-3