Calculate the following fit indices for the model output in...

Calculate the following fit indices for the model output in Figure 5.1: $$ \begin{aligned} & \mathrm{GFI}=1-\left(\chi_{\text {model }}^2 / \chi_{\text {null }}^2\right) \\ & \mathrm{NFI}=\left(\chi_{\text {null }}^2-\chi_{\text {model }}^2\right) / \chi_{\text {null }}^2 \\ & \left.\mathrm{RFI}=1-\left[\chi_{\text {model }}^2 / d f_{\text {model }}\right) /\left(\chi_{\text {null }}^2 / d f_{\text {null }}\right)\right] \\ & \mathrm{IFI}=\left(\chi_{\text {null }}^2-\chi_{\text {mode }}^2\right) /\left(\chi^2 \text { null }-d f_{\text {model }}\right) \\ & \mathrm{TLI}=\left[\left(\chi_{\text {null }}^2 / d f_{\text {null }}\right)-\left(\chi_{\text {model }}^2 / d f_{\text {model }}\right)\right] /\left[\left(\chi_{\chi_{\text {null }}^2}^2 / d f_{\text {null }}\right)-1\right] \\ & \mathrm{CFI}=1-\left[\chi_{\text {model }}^2-d f_{\text {model }} /\left(\chi^2 \text { null }-d f_{\text {null }}\right]\right. \\ & \text { Model AIC }=\chi^2 \text { model }+2 q(q \text { is the number of free parameters }) \\ & \text { Null AIC }=\chi_{\text {null }}^2+2 q(q \text { is the number of free parameters }) \end{aligned} $$ $$ R M S E A=\sqrt{\left[\chi_{\text {Model }}^2-d f_{\text {Model }}\right] /\left[(N-1) d f_{\text {Model }}\right]} $$ or $$ R M S E A=\sqrt{(N C P / N-1) / d f} $$

Calculate the following fit indices for the model output in Figure 5.1:
$$
\begin{aligned}
& \mathrm{GFI}=1-\left(\chi_{\text {model }}^2 / \chi_{\text {null }}^2\right) \\
& \mathrm{NFI}=\left(\chi_{\text {null }}^2-\chi_{\text {model }}^2\right) / \chi_{\text {null }}^2 \\
& \left.\mathrm{RFI}=1-\left[\chi_{\text {model }}^2 / d f_{\text {model }}\right) /\left(\chi_{\text {null }}^2 / d f_{\text {null }}\right)\right] \\
& \mathrm{IFI}=\left(\chi_{\text {null }}^2-\chi_{\text {mode }}^2\right) /\left(\chi^2 \text { null }-d f_{\text {model }}\right) \\
& \mathrm{TLI}=\left[\left(\chi_{\text {null }}^2 / d f_{\text {null }}\right)-\left(\chi_{\text {model }}^2 / d f_{\text {model }}\right)\right] /\left[\left(\chi_{\chi_{\text {null }}^2}^2 / d f_{\text {null }}\right)-1\right] \\
& \mathrm{CFI}=1-\left[\chi_{\text {model }}^2-d f_{\text {model }} /\left(\chi^2 \text { null }-d f_{\text {null }}\right]\right. \\
& \text { Model AIC }=\chi^2 \text { model }+2 q(q \text { is the number of free parameters }) \\
& \text { Null AIC }=\chi_{\text {null }}^2+2 q(q \text { is the number of free parameters })
\end{aligned}
$$
$$
R M S E A=\sqrt{\left[\chi_{\text {Model }}^2-d f_{\text {Model }}\right] /\left[(N-1) d f_{\text {Model }}\right]}
$$
or
$$
R M S E A=\sqrt{(N C P / N-1) / d f}
$$

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