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SEM model testing with identical goodness of fits (2)

Dear hyena,

Actually, looking at this a bit more closely, the first models dedicate 6
parameters to the correlational and variational structure of the three
variables that you mention -- 3 variances and 3 covariances; the second
model also dedicates 6 parameters -- 3 factor loadings and 3 error variances
(with the variance of the factor fixed as a normalization). You don't show
the remaining structure of the models, but a good guess is that they are
observationally indistinguishable.

John
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