what is an acceptable value for Chi-square goodness of fit measure in SEM? and what should we do if this measure, despite other indices which indicate a good fit, shows a poor fit?
If it is possible, please provide me with some authentic references in this regard.
Thank you in advance.
If the X2 is significant, we can use the ratio of chi-square normed by degrees of freedom (X2/df) which should meet the threshold of less than 3.00 (Luarn and Lin, 2005).
A significant chi-square does not indicate a satisfactory model fit. Joreskog and Sorbom (1989) and Bentler (1990) warned against the sole use of the chi-square value in assessing the model fit because of the sensitivity of the chi-square to the sample size. Hence, other indices are required to judge the data fit.
Mahfuz Judeh thank you so much for these very helpful tips dear Professor.
According to Hu and Bentler (1999) less than 1 is excellent and less than 3 is acceptable. If the Chi -square is not OK, then verify your sample size which is very important in quantitative analysis and SEM. Other criteria like CFI, SRMR, RMSEA and PClose should also confirm your model fit.