7.11 Limited information statistics (Cont’d)

An effect size measure that is usually used in conjunction with the \(M_2\) statistic is the root mean square error of approximation (RMSEA\(_2\)):

\[ \text{RMSEA}_2=\sqrt{\max(\frac{M_2-df}{N\times df},0)} \]

Simulation study showed that \(\text{RMSEA}_2<.03\) indicates excellent fit, \(.03\leq \text{RMSEA}_2<.045\) a good fit and \(\text{RMSEA}_2\geq .045\) poor fit.