Table 6 Goodness of fit statistics in CFA

Chi square

χ ²

pval>0.05

Hair et al. [28];

Byrne [10];

Hu and Bentler [35];

Jöreskog and Sörbom [43]

Normed chi square

χ ²/DF

1<χ ²/df<3

Goodness-of-fit index

GFI

>0.90

Adjusted GFI

AGFI

>0.80

Normed fit index

NFI

>0.90

Comparative fit index

CFI

>0.95

Root mean square error of approximation

RMESA

<0.05 good fit

<0.08 acceptable fit

Tucker-Lewis index

TLI

0<TLI<1