Using the Standardized Root Mean Squared Residual (SRMR) to Assess Exact Fit in Structural Equation Models.

ABSTRACT: We examine the accuracy of p values obtained using the asymptotic mean and variance (MV) correction to the distribution of the sample standardized root mean squared residual (SRMR) proposed by Maydeu-Olivares to assess the exact fit of SEM models. In a simulation study, we found that under normality, the MV-corrected SRMR statistic provides reasonably accurate Type I errors even in small samples and for large models, clearly outperforming the current standard, that is, the likelihood ratio (LR) test. When data shows excess kurtosis, MV-corrected SRMR p values are only accurate in small models (p = 10), or in medium-sized models (p = 30) if no skewness is present and sample sizes are at least 500. Overall, when data are not normal, the MV-corrected LR test seems

SUBMITTER: Pavlov G 

PROVIDER: S-EPMC7797960 | biostudies-literature | 2021 Feb

REPOSITORIES: biostudies-literature