Chi-square alone poorly indicates model fit because sample size distorts it

Evidence

However, because the chi-square test is influenced by factors other than model misspecification, such as sample size (Hu & Bentler, 1998), we also examined the standardized root mean square residual (SRMR), the SB scaled root mean square error of approximation (RMSEASB), and the SB scaled comparative fit index (CFISB). For these fit indexes, we utilized Kline’s (2005) criteria as a guideline for evaluating global model fit: SRMR .10, RMSEA .10, and CFI .90. — Sherman A. Lee, Chelsea A. Reid, Stephen D. Short, Jeffrey A. Gibbons, Ruth Yeh, and Matthew L. Campbell, Fear of Muslims, 51

Categorization

• DEFINE: Spells out SRMR, RMSEA, and CFI thresholds for evaluating global fit.
• XREF: Ties to Kline’s structural equation modeling textbook conventions.