Effects of Compounded Nonnormality of Residuals in Hierarchical Linear Modeling

• Published in: Educational and psychological measurement Vol. 82; no. 2; pp. 330 - 355
• Main Authors: Man, Kaiwen, Schumacker, Randall, Morell, Monica, Wang, Yurou
• Format: Journal Article
• Language: English
• Published: Los Angeles, CA SAGE Publications 01.04.2022; SAGE PUBLICATIONS, INC
• Subjects: Computation; Hierarchical Linear Modeling; Maximum Likelihood Statistics; Psychological tests; Quantitative psychology; Simulation; Social research; Social Science Research; Statistical Analysis; Statistical Bias; Statistical Distributions; random effects; HLM; hierarchical linear modeling; simulation study; nonnormal residuals

While hierarchical linear modeling is often used in social science research, the assumption of normally distributed residuals at the individual and cluster levels can be violated in empirical data. Previous studies have focused on the effects of nonnormality at either lower or higher level(s) separa...