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
Σg()γ()
μg()γ()
Σ0g()
μ
0g()
sg() vec Sg()
()=
p*g
()
Sg()
σg()γ() vec Σg()γ()
()=
a
a
S1() …SG()
,,
x1() …xG()
,,
␣0
␣0
Σ1()
0…ΣG()
0
,,
μ
1()
0…
μ
G()
0
,,
␣γ()
a
␣γ()
␣γ()
Σ1()γ() …Σ
G()γ(),,
μ
1()γ() …
μ
G()γ(),,
␣γ()
a
F␣γ()a,()
γ
ˆ
F␣γ()a,()
Σ
ˆg() Σg()γ
ˆ
()=
μ
ˆg() μg()γ
ˆ
()=
␣
ˆ␣γ
ˆ
()=