Table A1.

Formulas for Point Estimates of Fit Indices

Fit index	Formula	Definitionsa
Absolute fit
GFI	$\frac{p}{p+2{\stackrel{\sim }{F}}_{\text{ML}}}$	Equation 7
AGFI	$1-\frac{p(p+1)}{2d}(1-\text{GFI})$
MC	$exp\left(-\frac{1}{2}{\widehat{F}}_{\text{uHyp}}\right)$	Equations A3 and 6
Absolute misfit
RMSEA	$\sqrt{\frac{max\hspace{0.17em}({\widehat{F}}_{\text{uHyp}},0)}{d}}$	Equations A3 and 6
RMR	$\sqrt{\frac{{\stackrel{\sim }{F}}_{\text{OLS}}}{\frac{\text{1}}{\text{2}}p(p+1)}}$	Equation 13
Comparative fit
NNFI	$\frac{Q_{\text{Base}}-Q_{\text{Hyp}}}{Q_{\text{Base}}-1}$	Equation A2
NFI	$\frac{{\widehat{F}}_{\text{Base}}-{\widehat{F}}_{\text{ML}}}{{\widehat{F}}_{\text{Base}}}$	Equations A1 and 6
RNI	$\frac{{\widehat{F}}_{\text{uBase}}-{\widehat{F}}_{\text{uHyp}}}{{\widehat{F}}_{\text{uBase}}}$	Equations A3 and A4

Note. GFI = goodness-of-fit index; AGFI = adjusted goodness-of-fit index; MC = measure of centrality; RMSEA = root-mean-square error of the approximation; RMR = root-mean-square residual; NNFI = nonnormed fit index; NFI = normed fit index; RNI = relative noncentrality index.

^aThe formula in the second column involves notation defined in the specified equations.