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Measures of Fit
PGFI
The PGFI (parsimony goodness-of-fit index), suggested by Mulaik, et al. (1989), is a
modification of the GFI that takes into account the degrees of freedom available for
testing the model
where d is the degrees of freedom for the model being evaluated, and
is the degrees of freedom for the baseline zero model.
Note: Use the \pgfi text macro to display the value of the parsimonious GFI in the
output path diagram.
Miscellaneous Measures
Miscellaneous fit measures are described here.
HI 90
Amos reports a 90% confidence interval for the population value of several statistics.
The upper and lower boundaries are given in columns labeled HI 90 and LO 90.
HOELTER
Hoelter’s (1983) critical N is the largest sample size for which one would accept the
hypothesis that a model is correct. Hoelter does not specify a significance level to be
used in determining the critical N, although he uses 0.05 in his examples. Amos reports
a critical N for significance levels of 0.05 and 0.01.
b
d
d
GFIPGFI =
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G
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g
b
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1
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