592
Appendix A
= the covariance matrix for group g, according to the model
= the mean vector for group g, according to the model
= the population covariance matrix for group g
= the population mean vector for group g
= the distinct elements of arranged in a single column
vector
r = the non-negative integer specified by the
ChiCorrect method. By default r = G.
When the Emulisrel6 method is used, r = G and cannot be changed by using
ChiCorrect.
n = N – r
= the vector of order p containing the sample moments for all groups; that is,
contains the elements of and also (if means and intercepts are
explicit model parameters) .
= the vector of order p containing the population moments for all groups; that is,
contains the elements of and also (if means and intercepts
are explicit model parameters) . The ordering of the elements of
must match the ordering of the elements of .
= the vector of order p containing the population moments for all groups
according to the model; that is, contains the elements of
and also (if means and intercepts are explicit model
parameters) . The ordering of the elements of must
match the ordering of the elements of .
= the function (of ␥) that is minimized in fitting the model to the sample
= the value of ␥ that minimizes
Σ
g()
γ()
μ
g()
γ()
Σ
0
g()
μ
0
g()
s
g()
vec S
g()
()=
p
*
g
()
S
g()
σ
g()
γ() vec
Σ
g()
γ()
()=
a
a
S
1()
… S
G()
,,
x
1()
… x
G()
,,
␣
0
␣
0
Σ
1()
0
…Σ
G()
0
,,
μ
1()
0
…
μ
G()
0
,,
␣ γ()
a
␣ γ()
␣ γ()
Σ
1()
γ()…Σ
G()
γ(),,
μ
1()
γ()…
μ
G()
γ(),,
␣ γ()
a
F ␣ γ()a,()
γ
ˆ
F ␣ γ()a,()
Σ
ˆ
g()
Σ
g()
γ
ˆ
()=
μ
ˆ
g()
μ
g()
γ
ˆ
()=
␣
ˆ
␣ γ
ˆ
()=