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For C – df, AIC, BCC, and BIC, the units and the origin of the vertical axis are different
than for C, but the graphs are otherwise identical. This means that the final model
selected by the scree test is independent of which measure of fit is used (unless C / df
is used). This is the advantage of the scree plot over the best-fit plot demonstrated
earlier in this example (see “Viewing the Best-Fit Graph for C” on p. 338, and
“Viewing the Best-Fit Graph for Other Fit Measures” on p. 339). The best-fit plot and
the scree plot contain nearly the same information, but the shape of the best-fit plot
depends on the choice of fit measure while the shape of the scree plot does not (with
the exception of C / df).
Both the best-fit plot and the scree plot are independent of sample size in the sense
that altering the sample size without altering the sample moments has no effect other
than to rescale the vertical axis.