This study examined the effect of model size on the chi-square test statistics obtained from ordinal factor analysis models. The performance of six robust chi-square test statistics were compared across various conditions, including number of observed variables (p), number of factors, sample size, model (mis)specification, number of categories, and threshold distribution. Results showed that the unweighted least squares (ULS) robust chi-square statistics generally outperform the diagonally weighted least squares (DWLS) robust chi-square statistics. The ULSM estimator performed the best overall. However, when fitting ordinal factor analysis models with a large number of observed variables and small sample size, the ULSM-based chi-square tests may yield empirical variances that are noticeably larger than the theoretical values and inflated Type I error rates. On the other hand, when the number of observed variables is very large, the mean- and variance-corrected chi-square test statistics (e.g., based on ULSMV and WLSMV) could produce empirical variances conspicuously smaller than the theoretical values and Type I error rates lower than the nominal level, and demonstrate lower power rates to reject misspecified models. Recommendations for applied researchers and future empirical studies involving large models are provided.
School mental health (SMH) programs are gaining momentum and, when done well, are associated with improved academic and social–emotional outcomes. Professionals from several education and mental health disciplines have sound training and experiences needed to play a critical role in delivering quality SMH services. School psychologists, specifically, are in a key position to advance SMH programs and services. Studies have documented that school psychologists desire more prominent roles in the growth and improvement of SMH, and current practice models from national organizations encourage such enhanced involvement. This article identifies the roles of school psychologists across a three‐tiered continuum of SMH practice and offers an analysis of current training and professional development opportunities aimed at such role enhancement. We provide a justification for the role of school psychologists in SMH, describe a framework for school psychologists in the SMH delivery system, discuss barriers to and enablers of this role for school psychologists, and conclude with recommendations for training and policy.
29 December 2018 in Educational and Psychological Measurement
A simulation study was conducted to investigate the model size effect when confirmatory factor analysis (CFA) models include many ordinal items. CFA models including between 15 and 120 ordinal items were analyzed with mean- and variance-adjusted weighted least squares to determine how varying sample size, number of ordered categories, and misspecification affect parameter estimates, standard errors of parameter estimates, and selected fit indices. As the number of items increased, the number of admissible solutions and accuracy of parameter estimates improved, even when models were misspecified. Also, standard errors of parameter estimates were closer to empirical standard deviation values as the number of items increased. When evaluating goodness-of-fit for ordinal CFA with many observed indicators, researchers should be cautious in interpreting the root mean square error of approximation, as this value appeared overly optimistic under misspecified conditions.
BACKGROUND: Urban black adolescents' wellbeing in the early high school years can be negatively impacted by exposure to racial discrimination. These impacts may be buffered by supportive relationships with adults at school. We considered both the protective and promotive effects of culturally responsive teachers and caring school police on school engagement for students exposed to racial discrimination across settings.METHOD: This study leveraged baseline student report from a sample of urban, predominantly black high school students with elevated teacher‐rated levels of aggressive behavior (N = 397 9th graders; 91.2% black; 50.4% male; J = 10 schools). Using a path model with full‐information maximum likelihood estimation, we examined the associations of racial discrimination, teacher cultural responsiveness, and school police caring in relation to school engagement and school disconnection, adjusting for covariates, including family racial socialization.RESULTS: Frequency of racial discrimination was significantly associated with lower school engagement and greater school disconnection. Teacher cultural responsiveness was significantly, favorably associated with all outcomes. Police caring had no significant direct associations; however, there were moderation effects. When police caring was below average, increased racial discrimination was associated with significantly poorer attitudes toward school.CONCLUSIONS: Findings suggested that students' perceptions of school police caring may buffer links between racial discrimination experiences and school disconnection. Moreover, students who perceive that their teachers are culturally responsive may feel more engaged at school. Interventions to promote teachers' and school police officers' cultural responsiveness and caring may improve engagement among at‐risk urban youth who experience racial discrimination.
4 December 2015 in International Journal of Mental Health Promotion
(2016). The School Mental Health International Leadership Exchange (SMHILE): working to advance the field through opportunities for global networking. International Journal of Mental Health Promotion: Vol. 18, No. 1, pp. 1-7.