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Appendix E
(not reported by Amos)
The following fit measures depend monotonically on and not at all on d. The
specification search procedure reports only as representative of them all.
Each of the following fit measures is a weighted sum of and d and can produce a
distinct rank order of models. The specification search procedure reports each of them
except for CAIC.
NCP max C
ˆ
d– 0,()=
F0 F
ˆ
0
max
C
ˆ
d–
n
-------------
0,
⎝⎠
⎛⎞
==
CFI 1
max C
ˆ
d– 0,()
max C
b
ˆ
d
b
– C
ˆ
, d– 0,()
----------------------------------------------------------–=
RNI 1
C
ˆ
d–
C
b
ˆ
d
b
–
-----------------–=
C
ˆ
C
ˆ
CMIN C
ˆ
=
FMIN
C
ˆ
n
----=
NFI 1
C
ˆ
C
ˆ
b
------–=
C
ˆ
BCC
AIC
BIC
CAIC