103
Exploratory Analysis
Identification
Model A is identified except for the usual problem that the measurement scale of each
unobserved variable is indeterminate. The measurement scale of each unobserved
variable may be fixed arbitrarily by setting a regression weight to unity (1) for one of
the paths that points away from it. The path diagram shows 11 regression weights fixed
at unity (1), that is, one constraint for each unobserved variable. These constraints are
sufficient to make the model identified.
Results of the Analysis
The model has 15 parameters to be estimated (6 regression weights and 9 variances).
There are 21 sample moments (6 sample variances and 15 covariances). This leaves 6
degrees of freedom.
anomia67 powles67 anomia71 powles71
educatio SEI
67
alienation
71
alienation
eps1 eps2 eps3 eps4
ses
delta2
delta1
1 1 1 1
1
1
1
1
zeta2zeta1
1
1
1
Example 6: Model A
Exploratory analysis
Wheaton (1977)
Model Specification