IBM® SPSS® Amos™ 28
The GFI (goodness of fit index) was devised by Jöreskog and Sörbom (1984) for Ml and Uls estimation, and generalized to other estimation criteria by Tanaka and Huba (1985). The GFI is given by
where 
is the minimum value of the discrepancy function defined in Appendix B and 
is obtained by evaluating F with 
, g = 1, 2,...,G. An exception has to be made for maximum likelihood estimation, since (D2) in Appendix B is not defined for 
. For the purpose of computing GFI in the case of maximum likelihood estimation, 
in Appendix B is calculated as
with 
, where 
is the maximum likelihood estimate of 
.
GFI is less than or equal to 1. A value of 1 indicates a perfect fit.
Use the \gfi text macro to display GFI on a path diagram.
