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|
** Mx startup successful **
**Mx-OSX version 1.69**
!------------------------------------------------------+
! Latent class analysis via Mx |
! marginal ml again |
! data from http://www.people.vcu.edu/~nhenry/LSA50.htm|
! see |
! Latent Class Probs Item 1 Item 2 Item 3 Item 4 |
! .4243 .9240 .6276 .5704 .5125 |
! .5757 .4324 .1871 .1008 .0635 |
! Mx recovers: |
! .4440 0.90736 0.61444 0.55828 0.50176 |
! .5560 0.42838 0.18218 .09394 .05627 |
!------------------------------------------------------+
#ngroups 2 ! number of groups in run
The following MX script lines were read for group 1
#NGROUPS 2
Note: #NGroup set number of groups to 2
#define $nvar 5 ! Number of variables altogether, before selection
#define nclass 2
#define $nclass 2
#define nv 4 ! number of variables in model
#define ncov 0 ! number of covariates
#define nclassncov 0 ! nclass * ncov
#define ncnv 8 ! number of variables * number of classes
#define $allvar1 Armyrun Favatt squaredeal welfare freq
#define $covariates FHTTLPR1 FHTTLPR2
#define $variables Armyrun Favatt squaredeal welfare freq
#define $frequencies TRUE
#define $freqlabel freq
#define maxcat 1 ! Maximum score of any item
#define maxcatnc 2 ! Must be maxcat times nclass
!-------------------------------------------------------------------
Group 1: Fit the model
Data Ninput=$nvar Nmodel=$nclass
ORdinal File=lazarsfeld.ord
Ordinal data read initiated
Note: Maximum ordinal/rectangular record length is: 1000
Note: It be increased by maxrec= parameter on the data line.
NOTE: Rectangular file contained 16 records with data
that contained a total of 80 observations
LAbels
$allvar1
!Select if sex = 0
SElect
#if ncov > 0
$variables
$covariates ;
Definition $covariates ;
#else
$variables ;
#endif
#if $frequencies = TRUE
Definition $freqlabel ;
NOTE: Selection yields 16 data vectors for analysis
NOTE: Vectors contain a total of 80 observations
NOTE: Definition yields 16 data vectors for analysis
NOTE: Vectors contain a total of 64 observations
#end if
Begin matrices;
A full nclass 1
#if ncov > 0
P unit nv ncov
K Full nv nclassncov ! regressions of response probabilities on covariates
S full ncov 1 ! vector of observed covariates
X full nclass ncov ! For regression of class membership probs on covaria
tes
#else
P unit nv 1
K Full nv nclass ! Not required except to make algebra work with no cov
ariates
D full 1 1 ! Not required except to make algebra work
S full 1 1 ! Not required except to make algebra work
X full nclass 1 ! For regression of class membership probs on covariates
#endif
E full 1 nv
F unit maxcat 1
G lower maxcat maxcat
T full maxcatnc nv Free ! thresholds, z-score metric for class probabiliti
es
! note that columns are thresholds within variable
s
I iden nclass nclass
Q full 1 1 ! for frequency if used
R iden nv nv
U unit 1 1
V unit nv 1
W full nclass 1 free ! class membership probabilities
End Matrices;
!
! Be kind to Mx, fix thresholds that are not going anywhere
!
Value 1 G 1 1 - G maxcat maxcat
#if ncov > 0
Specify S $covariates
#endif
#if $frequencies = TRUE
Specify Q $freqlabel
#end if
Matrix W .2 .8
Begin Algebra;
End Algebra;
Thresholds (I@G)*T+(K*(I@S))' ;
Covariance R;
#if $frequencies = TRUE
Frequency Q;
#end if
#if ncov > 0
Specify S $covariates
#endif
#if $frequencies = TRUE
Specify Q $freqlabel
#end if
Matrix W .2 .8
Begin Algebra;
End Algebra;
Thresholds (I@G)*T+(K*(I@S))' ;
Covariance R;
#if $frequencies = TRUE
Frequency Q;
#end if
#if ncov > 0
Weight (W+X*S)@(\sum(W+X*S)~); ! adjusted for covariates
#else
Weight W ;
#endif
Option onecov
Option func=1.e-9
End Group;
The following MX script lines were read for group 2
Constrain Un-regressed Weights to sum to 1
Constraint
Begin Matrices;
W full nclass 1 = W1
I unit 1 1
End Matrices;
Constraint I = \sum(W);
End
Summary of VL file data for group 1
FREQ ARMYRUN FAVATT SQUAREDEAL WELFARE
Code -1.0000 1.0000 2.0000 3.0000 4.0000
Number 16.0000 16.0000 16.0000 16.0000 16.0000
Mean 62.5000 0.5000 0.5000 0.5000 0.5000
Variance 3973.2500 0.2500 0.2500 0.2500 0.2500
Minimum 3.0000 0.0000 0.0000 0.0000 0.0000
Maximum 229.0000 1.0000 1.0000 1.0000 1.0000
PARAMETER SPECIFICATIONS
GROUP NUMBER: 1
Group 1: Fit the model
MATRIX A
This is a FULL matrix of order 2 by 1
It has no free parameters specified
MATRIX D
This is a FULL matrix of order 1 by 1
It has no free parameters specified
MATRIX E
This is a FULL matrix of order 1 by 4
It has no free parameters specified
MATRIX F
This is a UNIT matrix of order 1 by 1
MATRIX G
This is a LOWER TRIANGULAR matrix of order 1 by 1
It has no free parameters specified
MATRIX I
This is an IDENTITY matrix of order 2 by 2
MATRIX K
This is a FULL matrix of order 4 by 2
It has no free parameters specified
MATRIX P
This is a UNIT matrix of order 4 by 1
MATRIX Q
This is a FULL matrix of order 1 by 1
1
1 -1
MATRIX R
This is an IDENTITY matrix of order 4 by 4
MATRIX S
This is a FULL matrix of order 1 by 1
It has no free parameters specified
MATRIX T
This is a FULL matrix of order 2 by 4
1 2 3 4
1 1 2 3 4
2 5 6 7 8
MATRIX U
This is a UNIT matrix of order 1 by 1
MATRIX V
This is a UNIT matrix of order 4 by 1
MATRIX W
This is a FULL matrix of order 2 by 1
1
1 9
2 10
MATRIX X
This is a FULL matrix of order 2 by 1
It has no free parameters specified
GROUP NUMBER: 2
Constrain Un-regressed Weights to sum to 1
MATRIX I
This is a UNIT matrix of order 1 by 1
MATRIX W
This is a FULL matrix of order 2 by 1
1
1 9
2 10
Mx starting optimization; number of parameters = 10
MX PARAMETER ESTIMATES
GROUP NUMBER: 1
Group 1: Fit the model
MATRIX A
This is a FULL matrix of order 2 by 1
1
1 0.0000
2 0.0000
MATRIX D
This is a FULL matrix of order 1 by 1
1
1 0.0000
MATRIX E
This is a FULL matrix of order 1 by 4
1 2 3 4
1 0.0000 0.0000 0.0000 0.0000
MATRIX F
This is a UNIT matrix of order 1 by 1
MATRIX G
This is a LOWER TRIANGULAR matrix of order 1 by 1
1
1 1.0000
MATRIX I
This is an IDENTITY matrix of order 2 by 2
MATRIX K
This is a FULL matrix of order 4 by 2
1 2
1 0.0000 0.0000
2 0.0000 0.0000
3 0.0000 0.0000
4 0.0000 0.0000
MATRIX P
This is a UNIT matrix of order 4 by 1
MATRIX Q
This is a FULL matrix of order 1 by 1
1
1 229.0000
MATRIX R
This is an IDENTITY matrix of order 4 by 4
MATRIX S
This is a FULL matrix of order 1 by 1
1
1 0.0000
MATRIX T
This is a FULL matrix of order 2 by 4
1 2 3 4
1 -1.3247 -0.2909 -0.1466 -0.0044
2 0.1805 0.9071 1.3169 1.5869
MATRIX U
This is a UNIT matrix of order 1 by 1
MATRIX V
This is a UNIT matrix of order 4 by 1
MATRIX W
This is a FULL matrix of order 2 by 1
1
1 0.4440
2 0.5560
MATRIX X
This is a FULL matrix of order 2 by 1
1
1 0.0000
2 0.0000
GROUP NUMBER: 2
Constrain Un-regressed Weights to sum to 1
MATRIX I
This is a UNIT matrix of order 1 by 1
MATRIX W
This is a FULL matrix of order 2 by 1
1
1 0.4440
2 0.5560
Your model has 10 estimated parameters and 65 Observed statistics
Observed statistics include 1 constraints.
-2 times log-likelihood of data >>> 4696.444
Degrees of freedom >>>>>>>>>>>>>>>> 55
Akaike's Information Criterion >>>> 4586.444
Bayesian Information Criterion >>>> 2271.976
Sample size Adjusted BIC >>>> 2356.133
Deviance Information Criterion >>>> 2322.518
This problem used 0.0% of my workspace
Task Time elapsed (DD:HH:MM:SS)
Reading script & data 0: 0: 0: 0.01
Execution 0: 0: 0: 0.03
TOTAL 0: 0: 0: 0.04
Total number of warnings issued: 0
______________________________________________________________________________
______________________________________________________________________________
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