Exercise 6 (LPA) Data for LG.csv

File name: C:\Users\glen\Dropbox\SI Dropbox\Consulting\Methodology_Center_PSU\Exercises-for-Glen\Exercise 7\Latent GOLD\Exercise 6 (LPA) Data for LG.csv
File size: 38740 bytes 1000 records
File date: 2016-Oct-18 10:43:41 AM
Syntax: Exercise 6 (LPA) LG Syntax.lgs
LL BIC(LL) Npar Class.Err.
[6A] Latent Profile Analysis (LPA) without covariate Syntax (1) -8447.0069 17128.8774 34 0.0762
[6B.1] LPA with Sex as Covariate Syntax (2) -8384.7752 17032.0450 38 0.0737
[6B.2] Perfect Indicator (with Robust standard errors) Syntax (3) -9077.4103 18424.2230 39 0.0737
[6B.2] Perfect Indicator with Knownclass (as done in Mplus) Syntax (4) -9077.4103 18424.2230 39 0.0737
[6B.3] Knownclass with variances depending on Sex Syntax (5) -9071.6926 18447.3264 44 0.0723
[6B.3] Perfect Indicator with variances depending on Sex Syntax (6) -9071.6926 18447.3264 44 0.0723
Model7 Syntax (7)

[6A] Latent Profile Analysis (LPA) without covariate - LL = -8447.0069

Syntax (1) Model
Number of cases 1000
Number of parameters (Npar) 34
Activated Constraints 0
Random Seed 203212
Best Start Seed 666080
Log-likelihood Statistics
Log-likelihood (LL) -8447.0069
Log-prior 0.0000
Log-posterior -8447.0069
BIC (based on LL) 17128.8774
AIC (based on LL) 16962.0137
AIC3 (based on LL) 16996.0137
CAIC (based on LL) 17162.8774
SABIC (based on LL) 17020.8915
Classification Statistics Cluster
Classification errors 0.0762
Reduction of errors (Lambda) 0.8964
Entropy R-squared 0.8725
Standard R-squared 0.8582
Classification log-likelihood -8644.8373
Entropy 197.8304
CLC 17289.6745
AWE 17861.4019
ICL-BIC 17524.5382
Cluster Classification Table Modal
Latent 1 2 3 4 5 Total
1 242.6076 12.9506 7.4307 1.7165 0.0603 264.7657
2 11.9255 123.1710 7.0550 0.0059 5.8597 148.0171
3 9.6656 7.7430 80.7911 1.0445 0.0461 99.2903
4 4.0255 0.0084 0.6498 251.2331 0.0000 255.9168
5 0.7758 5.1270 0.0734 0.0000 226.0338 232.0101
Total 269.0000 149.0000 96.0000 254.0000 232.0000 1000.0000
Cluster Classification Table Proportional
Latent 1 2 3 4 5 Total
1 229.6112 17.7674 12.6915 4.0539 0.6416 264.7657
2 17.7674 111.5780 10.1635 0.0850 8.4232 148.0171
3 12.6915 10.1635 75.0474 1.2613 0.1266 99.2903
4 4.0539 0.0850 1.2613 250.5167 0.0000 255.9168
5 0.6416 8.4232 0.1266 0.0000 222.8187 232.0101
Total 264.7657 148.0171 99.2903 255.9168 232.0101 1000.0000
Files
Infile C:\Users\glen\Dropbox\SI Dropbox\Consulting\Methodology_Center_PSU\Exercises-for-Glen\Exercise 7\Latent GOLD\Exercise 6 (LPA) Data for LG.csv
Options
threads 8
algorithm
tolerance 1e-008
emtolerance 0.01
emiterations 250
nriterations 50
algorithm NR
MstepNR no
startvalues
seed 0
sets 16
tolerance 1e-005
iterations 50
bayes
categorical 1
variances 0
latent 0
poisson 1
quadrature
nodes 10
missing excludeall
output
parameters effect
standard errors standard
bivariate residuals marginal
identification no
validation LL no
sample size BIC 1000
predictionstatistics no
Variable Detail
Latent
Cluster Nominal Case 5
Dependent
Agreeableness Continuous
Conscientiousness Continuous
Extroversion Continuous
Neuroticism Continuous
Openness Continuous

Syntax

options

   maxthreads=8;

   algorithm 

      tolerance=1e-008 emtolerance=0.01 emiterations=250 nriterations=50 ;

   startvalues

      seed=0 sets=16 tolerance=1e-005 iterations=50;

   bayes

      categorical=1 variances=0 latent=0 poisson=1;

   montecarlo

      seed=0 sets=0 replicates=500 tolerance=1e-008;

   quadrature  nodes=10;

   missing  excludeall;

   output      

      parameters=effect  betaopts=wl standarderrors profile probmeans=posterior

      bivariateresiduals estimatedvalues=model;

variables

   dependent Agreeableness continuous, Conscientiousness continuous,

      Extroversion continuous, Neuroticism continuous, Openness continuous;

   latent

      Cluster nominal 5;

equations

   Cluster <- 1;

   Agreeableness <- 1 + Cluster;

   Conscientiousness <- 1 + Cluster;

   Extroversion <- 1 + Cluster;

   Neuroticism <- 1 + Cluster;

   Openness <- 1 + Cluster;

Parameters

Regression Parameters
term coef Wald(0) df p-value
Cluster(1) <- 1 0.3457 61.0683 4 1.7e-12
Cluster(2) <- 1 -0.2358
Cluster(3) <- 1 -0.6351
Cluster(4) <- 1 0.3117
Cluster(5) <- 1 0.2136
Agreeableness <- 1 0.2528 33.2247 1 8.2e-9
Agreeableness <- Cluster(1) -1.2397 2206.1475 4 9.6e-477
Agreeableness <- Cluster(2) 0.6676
Agreeableness <- Cluster(3) 0.9122
Agreeableness <- Cluster(4) -2.2149
Agreeableness <- Cluster(5) 1.8748
Conscientiousness <- 1 0.6639 299.9532 1 3.4e-67
Conscientiousness <- Cluster(1) 0.3228 1734.3014 4 2.2e-374
Conscientiousness <- Cluster(2) 0.5576
Conscientiousness <- Cluster(3) 0.4579
Conscientiousness <- Cluster(4) 1.2436
Conscientiousness <- Cluster(5) -2.5819
Extroversion <- 1 -0.1750 14.2874 1 0.00016
Extroversion <- Cluster(1) -0.9250 2320.5149 4 1.5e-501
Extroversion <- Cluster(2) 1.3388
Extroversion <- Cluster(3) -0.7624
Extroversion <- Cluster(4) -1.8170
Extroversion <- Cluster(5) 2.1656
Neuroticism <- 1 -0.1914 18.6316 1 1.6e-5
Neuroticism <- Cluster(1) -0.8364 2373.1348 4 5.7e-513
Neuroticism <- Cluster(2) -0.7317
Neuroticism <- Cluster(3) 1.2338
Neuroticism <- Cluster(4) 2.1849
Neuroticism <- Cluster(5) -1.8507
Openness <- 1 0.6427 332.6973 1 2.5e-74
Openness <- Cluster(1) 0.4033 2127.2896 4 1.2e-459
Openness <- Cluster(2) 0.5306
Openness <- Cluster(3) 0.3148
Openness <- Cluster(4) -2.5822
Openness <- Cluster(5) 1.3335
Variances
term coef Wald(0) df p-value
Agreeableness 1.0519 343.4703 1 1.1e-76
Conscientiousness 1.0549 448.1560 1 1.8e-99
Extroversion 0.9854 362.6771 1 7.4e-81
Neuroticism 0.9329 355.3287 1 2.9e-79
Openness 0.9772 458.1419 1 1.2e-101

Paired Comparisons

Paired Comparisons
term comparison Wald df p-value
Cluster <- 1 Cluster 1 2 16.5292 1 4.8e-5
Cluster 1 3 34.8868 1 3.5e-9
Cluster 1 4 0.1217 1 0.73
Cluster 1 5 1.7430 1 0.19
Cluster 2 3 4.3187 1 0.038
Cluster 2 4 18.5701 1 1.6e-5
Cluster 2 5 11.5775 1 0.00067
Cluster 3 4 38.8061 1 4.7e-10
Cluster 3 5 30.3377 1 3.6e-8
Cluster 4 5 1.1149 1 0.29
Agreeableness <- Cluster Cluster 1 2 203.0719 1 4.5e-46
Cluster 1 3 205.7078 1 1.2e-46
Cluster 1 4 87.7426 1 7.5e-21
Cluster 1 5 852.4441 1 2.1e-187
Cluster 2 3 1.8415 1 0.17
Cluster 2 4 492.9524 1 3.2e-109
Cluster 2 5 83.3887 1 6.7e-20
Cluster 3 4 442.6238 1 2.9e-98
Cluster 3 5 40.6127 1 1.9e-10
Cluster 4 5 1854.8471 1 3.1e-405
Conscientiousness <- Cluster Cluster 1 2 3.2911 1 0.070
Cluster 1 3 0.8655 1 0.35
Cluster 1 4 93.7339 1 3.6e-22
Cluster 1 5 818.2862 1 5.7e-180
Cluster 2 3 0.3613 1 0.55
Cluster 2 4 31.2335 1 2.3e-8
Cluster 2 5 699.0660 1 4.8e-154
Cluster 3 4 32.4992 1 1.2e-8
Cluster 3 5 452.8127 1 1.8e-100
Cluster 4 5 1497.7550 1 1.2e-327
Extroversion <- Cluster Cluster 1 2 318.3698 1 3.3e-71
Cluster 1 3 1.0604 1 0.30
Cluster 1 4 80.7588 1 2.6e-19
Cluster 1 5 947.3485 1 5.0e-208
Cluster 2 3 166.3418 1 4.7e-38
Cluster 2 4 567.4560 1 2.0e-125
Cluster 2 5 37.7769 1 7.9e-10
Cluster 3 4 49.1201 1 2.4e-12
Cluster 3 5 372.0656 1 6.6e-83
Cluster 4 5 1885.6729 1 6.2e-412
Neuroticism <- Cluster Cluster 1 2 0.6231 1 0.43
Cluster 1 3 192.9803 1 7.1e-44
Cluster 1 4 1053.0156 1 5.4e-231
Cluster 1 5 110.5961 1 7.3e-26
Cluster 2 3 144.0843 1 3.4e-33
Cluster 2 4 551.2726 1 6.7e-122
Cluster 2 5 79.0758 1 6.0e-19
Cluster 3 4 38.8513 1 4.6e-10
Cluster 3 5 400.6536 1 4.0e-89
Cluster 4 5 1991.1456 1 7.6e-435
Openness <- Cluster Cluster 1 2 1.1150 1 0.29
Cluster 1 3 0.3958 1 0.53
Cluster 1 4 1078.1889 1 1.8e-236
Cluster 1 5 97.7884 1 4.7e-23
Cluster 2 3 1.7681 1 0.18
Cluster 2 4 725.9831 1 6.7e-160
Cluster 2 5 45.5635 1 1.5e-11
Cluster 3 4 466.5884 1 1.8e-103
Cluster 3 5 56.2374 1 6.4e-14
Cluster 4 5 1784.2600 1 6.7e-390

Profile

Cluster
1 2 3 4 5 Overall
Size 0.2648 0.1480 0.0993 0.2559 0.2320
Agreeableness
Mean -0.9869 0.9204 1.1650 -1.9621 2.1276 -0.0179
Conscientiousness
Mean 0.9867 1.2215 1.1218 1.9075 -1.9180 0.5966
Extroversion
Mean -1.1000 1.1639 -0.9374 -1.9920 1.9907 -0.2600
Neuroticism
Mean -1.0278 -0.9231 1.0424 1.9935 -2.0422 -0.2689
Openness
Mean 1.0460 1.1733 0.9575 -1.9395 1.9762 0.5078

ProbMeans-Posterior

Cluster
1 2 3 4 5
Overall 0.2648 0.1480 0.0993 0.2559 0.2320
Dependent
Agreeableness
-5.503 - -1.858 0.2971 0.0044 0.0016 0.6969 0.0000
-1.856 - -0.740 0.4829 0.0532 0.0108 0.4530 0.0001
-0.731 - 0.650 0.4389 0.2184 0.1351 0.1240 0.0836
0.652 - 1.785 0.0972 0.3256 0.2278 0.0056 0.3437
1.806 - 4.638 0.0077 0.1385 0.1211 0.0000 0.7327
Conscientiousness
-4.337 - -1.085 0.0360 0.0069 0.0049 0.0000 0.9522
-1.029 - 0.517 0.3783 0.1599 0.1229 0.1385 0.2004
0.529 - 1.283 0.3877 0.2418 0.1373 0.2262 0.0070
1.284 - 2.051 0.3285 0.1849 0.1521 0.3342 0.0004
2.052 - 4.752 0.1934 0.1466 0.0792 0.5806 0.0001
Extroversion
-4.667 - -1.981 0.2479 0.0012 0.0908 0.6601 0.0000
-1.979 - -1.006 0.4564 0.0076 0.1130 0.4228 0.0001
-1.002 - 0.177 0.4777 0.1271 0.2107 0.1607 0.0238
0.181 - 1.624 0.1358 0.3421 0.0806 0.0359 0.4055
1.627 - 5.037 0.0060 0.2620 0.0013 0.0000 0.7307
Neuroticism
-4.406 - -1.927 0.2152 0.1002 0.0015 0.0000 0.6831
-1.920 - -1.087 0.4467 0.2702 0.0068 0.0005 0.2758
-1.085 - -0.0240 0.4951 0.2331 0.0636 0.0290 0.1793
-0.0140 - 1.598 0.1613 0.1329 0.2717 0.4122 0.0219
1.608 - 5.505 0.0056 0.0036 0.1529 0.8379 0.0000
Openness
-4.616 - -1.214 0.0142 0.0037 0.0058 0.9763 0.0000
-1.201 - 0.443 0.3565 0.1522 0.1450 0.2946 0.0516
0.445 - 1.211 0.3778 0.2227 0.1620 0.0066 0.2310
1.212 - 2.032 0.3450 0.2237 0.0974 0.0021 0.3318
2.035 - 5.055 0.2304 0.1377 0.0862 0.0000 0.5457

Bivariate Residuals

Dependent Agreeableness Conscientiousness Extroversion Neuroticism Openness
Agreeableness .
Conscientiousness 0.0038 .
Extroversion 0.5355 0.4108 .
Neuroticism 0.1081 0.2916 0.4105 .
Openness 0.1792 0.2373 2.7107 1.4219 .

EstimatedValues-Model

Cluster
1 2 3 4 5
0.2648 0.1480 0.0993 0.2559 0.2320
Agreeableness
Cluster Mean
1 -0.9869
2 0.9204
3 1.1650
4 -1.9621
5 2.1276
Conscientiousness
Cluster Mean
1 0.9867
2 1.2215
3 1.1218
4 1.9075
5 -1.9180
Extroversion
Cluster Mean
1 -1.1000
2 1.1639
3 -0.9374
4 -1.9920
5 1.9907
Neuroticism
Cluster Mean
1 -1.0278
2 -0.9231
3 1.0424
4 1.9935
5 -2.0422
Openness
Cluster Mean
1 1.0460
2 1.1733
3 0.9575
4 -1.9395
5 1.9762

[6B.1] LPA with Sex as Covariate - LL = -8384.7752

Syntax (2) Model
Number of cases 1000
Number of parameters (Npar) 38
Activated Constraints 0
Random Seed 218837
Best Start Seed 218837
Log-likelihood Statistics
Log-likelihood (LL) -8384.7752
Log-prior 0.0000
Log-posterior -8384.7752
BIC (based on LL) 17032.0450
AIC (based on LL) 16845.5503
AIC3 (based on LL) 16883.5503
CAIC (based on LL) 17070.0450
SABIC (based on LL) 16911.3549
Classification Statistics Cluster
Classification errors 0.0737
Reduction of errors (Lambda) 0.9000
Entropy R-squared 0.8762
Standard R-squared 0.8623
Classification log-likelihood -8577.0019
Entropy 192.2267
CLC 17154.0037
AWE 17792.9931
ICL-BIC 17416.4984
Cluster Classification Table Modal
Latent 1 2 3 4 5 Total
1 120.6344 14.1355 6.9098 6.2579 0.0200 147.9577
2 9.1974 243.5626 7.7644 0.0583 2.8871 263.4699
3 6.5984 9.8905 82.3920 0.0402 1.0021 99.9231
4 4.5530 0.8392 0.0742 226.6435 0.0000 232.1099
5 0.0168 2.5721 0.8595 0.0000 253.0908 256.5393
Total 141.0000 271.0000 98.0000 233.0000 257.0000 1000.0000
Cluster Classification Table Proportional
Latent 1 2 3 4 5 Total
1 112.8507 16.9122 9.8179 8.2963 0.0806 147.9577
2 16.9122 229.3611 12.7839 0.6409 3.7718 263.4699
3 9.8179 12.7839 75.9846 0.1342 1.2025 99.9231
4 8.2963 0.6409 0.1342 223.0385 0.0000 232.1099
5 0.0806 3.7718 1.2025 0.0000 251.4843 256.5393
Total 147.9577 263.4699 99.9231 232.1099 256.5393 1000.0000
Model Classification Statistics Cluster
Classification errors 0.6535
Reduction of errors (Lambda) 0.1128
Entropy R-squared 0.0428
Standard R-squared 0.0368
Files
Infile C:\Users\glen\Dropbox\SI Dropbox\Consulting\Methodology_Center_PSU\Exercises-for-Glen\Exercise 7\Latent GOLD\Exercise 6 (LPA) Data for LG.csv
Options
threads 8
algorithm
tolerance 1e-008
emtolerance 0.01
emiterations 250
nriterations 50
algorithm NR
MstepNR no
startvalues
seed 0
sets 16
tolerance 1e-005
iterations 50
bayes
categorical 1
variances 0
latent 0
poisson 1
quadrature
nodes 10
missing excludeall
output
parameters effect
standard errors standard
bivariate residuals marginal
identification no
validation LL no
sample size BIC 1000
predictionstatistics no
Variable Detail
Latent
Cluster Nominal Case 5
Dependent
Agreeableness Continuous
Conscientiousness Continuous
Extroversion Continuous
Neuroticism Continuous
Openness Continuous
Independent
Sex Nominal 2
0 0
1 1

Syntax

options

   maxthreads=8;

   algorithm 

      tolerance=1e-008 emtolerance=0.01 emiterations=250 nriterations=50 ;

   startvalues

      seed=0 sets=16 tolerance=1e-005 iterations=50;

   bayes

      categorical=1 variances=0 latent=0 poisson=1;

   montecarlo

      seed=0 sets=0 replicates=500 tolerance=1e-008;

   quadrature  nodes=10;

   missing  excludeall;

   output      

      parameters=effect  betaopts=wl standarderrors profile probmeans=posterior

      bivariateresiduals estimatedvalues=model;

variables

   dependent Agreeableness continuous, Conscientiousness continuous,

      Extroversion continuous, Neuroticism continuous, Openness continuous;

   independent Sex nominal;

   latent

      Cluster nominal 5;

equations

   Cluster <- 1 + Sex;

   Agreeableness <- 1 + Cluster;

   Conscientiousness <- 1 + Cluster;

   Extroversion <- 1 + Cluster;

   Neuroticism <- 1 + Cluster;

   Openness <- 1 + Cluster;

   Agreeableness;

   Conscientiousness;

   Extroversion;

   Neuroticism;

   Openness;

Parameters

Regression Parameters
term coef Wald(0) df p-value
Cluster(1) <- 1 -0.3088 53.8166 4 5.7e-11
Cluster(2) <- 1 0.4109
Cluster(3) <- 1 -0.5667
Cluster(4) <- 1 0.2318
Cluster(5) <- 1 0.2328
Cluster(1) <- Sex(0) -0.4571 107.1661 4 2.9e-22
Cluster(2) <- Sex(0) 0.0767
Cluster(3) <- Sex(0) -0.0375
Cluster(4) <- Sex(0) -0.2366
Cluster(5) <- Sex(0) 0.6545
Cluster(1) <- Sex(1) 0.4571
Cluster(2) <- Sex(1) -0.0767
Cluster(3) <- Sex(1) 0.0375
Cluster(4) <- Sex(1) 0.2366
Cluster(5) <- Sex(1) -0.6545
Agreeableness <- 1 0.2514 33.3461 1 7.7e-9
Agreeableness <- Cluster(1) 0.6731 2226.3830 4 3.9e-481
Agreeableness <- Cluster(2) -1.2403
Agreeableness <- Cluster(3) 0.9055
Agreeableness <- Cluster(4) 1.8758
Agreeableness <- Cluster(5) -2.2141
Conscientiousness <- 1 0.6639 301.6611 1 1.4e-67
Conscientiousness <- Cluster(1) 0.5701 1741.0319 4 7.6e-376
Conscientiousness <- Cluster(2) 0.3169
Conscientiousness <- Cluster(3) 0.4509
Conscientiousness <- Cluster(4) -2.5809
Conscientiousness <- Cluster(5) 1.2430
Extroversion <- 1 -0.1756 15.1313 1 0.00010
Extroversion <- Cluster(1) 1.3345 2312.0575 4 1.0e-499
Extroversion <- Cluster(2) -0.9223
Extroversion <- Cluster(3) -0.7656
Extroversion <- Cluster(4) 2.1674
Extroversion <- Cluster(5) -1.8139
Neuroticism <- 1 -0.1934 19.7154 1 9.0e-6
Neuroticism <- Cluster(1) -0.7191 2376.7809 4 9.2e-514
Neuroticism <- Cluster(2) -0.8479
Neuroticism <- Cluster(3) 1.2314
Neuroticism <- Cluster(4) -1.8475
Neuroticism <- Cluster(5) 2.1831
Openness <- 1 0.6429 335.5727 1 5.9e-75
Openness <- Cluster(1) 0.5285 2138.8402 4 3.9e-462
Openness <- Cluster(2) 0.4100
Openness <- Cluster(3) 0.3060
Openness <- Cluster(4) 1.3350
Openness <- Cluster(5) -2.5795
Variances
term coef Wald(0) df p-value
Agreeableness 1.0491 350.1158 1 4.0e-78
Conscientiousness 1.0545 449.4883 1 9.3e-100
Extroversion 0.9873 363.6595 1 4.5e-81
Neuroticism 0.9323 355.0966 1 3.3e-79
Openness 0.9751 460.6176 1 3.5e-102

Paired Comparisons

Paired Comparisons
term comparison Wald df p-value
Cluster <- 1 Cluster 1 2 21.2001 1 4.1e-6
Cluster 1 3 1.6424 1 0.20
Cluster 1 4 13.2374 1 0.00027
Cluster 1 5 13.6402 1 0.00022
Cluster 2 3 35.2140 1 3.0e-9
Cluster 2 4 3.0739 1 0.080
Cluster 2 5 2.9281 1 0.087
Cluster 3 4 26.8992 1 2.1e-7
Cluster 3 5 26.5442 1 2.6e-7
Cluster 4 5 0.0001 1 0.99
Cluster <- Sex Cluster 1 2 15.0690 1 0.00010
Cluster 1 3 5.9809 1 0.014
Cluster 1 4 2.5649 1 0.11
Cluster 1 5 66.8697 1 2.9e-16
Cluster 2 3 0.6667 1 0.41
Cluster 2 4 10.3547 1 0.0013
Cluster 2 5 33.3271 1 7.8e-9
Cluster 3 4 2.1208 1 0.15
Cluster 3 5 24.8336 1 6.3e-7
Cluster 4 5 76.4548 1 2.3e-18
Agreeableness <- Cluster Cluster 1 2 209.8241 1 1.5e-47
Cluster 1 3 1.7030 1 0.19
Cluster 1 4 85.0017 1 3.0e-20
Cluster 1 5 508.7771 1 1.2e-112
Cluster 2 3 207.4036 1 5.1e-47
Cluster 2 4 862.6964 1 1.3e-189
Cluster 2 5 88.4824 1 5.1e-21
Cluster 3 4 41.6927 1 1.1e-10
Cluster 3 5 445.5258 1 6.8e-99
Cluster 4 5 1867.1873 1 6.5e-408
Conscientiousness <- Cluster Cluster 1 2 3.8994 1 0.048
Cluster 1 3 0.5269 1 0.47
Cluster 1 4 712.9110 1 4.7e-157
Cluster 1 5 30.5440 1 3.3e-8
Cluster 2 3 0.8599 1 0.35
Cluster 2 4 816.9732 1 1.1e-179
Cluster 2 5 95.2015 1 1.7e-22
Cluster 3 4 456.0503 1 3.5e-101
Cluster 3 5 33.4310 1 7.4e-9
Cluster 4 5 1504.7925 1 3.6e-329
Extroversion <- Cluster Cluster 1 2 315.4428 1 1.4e-70
Cluster 1 3 167.4787 1 2.6e-38
Cluster 1 4 38.9095 1 4.4e-10
Cluster 1 5 573.4746 1 9.9e-127
Cluster 2 3 1.0188 1 0.31
Cluster 2 4 961.2683 1 4.7e-211
Cluster 2 5 82.3842 1 1.1e-19
Cluster 3 4 387.3056 1 3.2e-86
Cluster 3 5 50.3262 1 1.3e-12
Cluster 4 5 1887.0940 1 3.1e-412
Neuroticism <- Cluster Cluster 1 2 0.9809 1 0.32
Cluster 1 3 143.5961 1 4.4e-33
Cluster 1 4 83.2384 1 7.3e-20
Cluster 1 5 567.6747 1 1.8e-125
Cluster 2 3 200.2987 1 1.8e-45
Cluster 2 4 107.3495 1 3.7e-25
Cluster 2 5 1058.7981 1 3.0e-232
Cluster 3 4 409.0489 1 5.9e-91
Cluster 3 5 39.9828 1 2.6e-10
Cluster 4 5 1992.5215 1 3.8e-435
Openness <- Cluster Cluster 1 2 0.9787 1 0.32
Cluster 1 3 1.8891 1 0.17
Cluster 1 4 46.3264 1 1.0e-11
Cluster 1 5 730.0092 1 8.9e-161
Cluster 2 3 0.5476 1 0.46
Cluster 2 4 97.0911 1 6.6e-23
Cluster 2 5 1084.6641 1 7.1e-238
Cluster 3 4 57.6681 1 3.1e-14
Cluster 3 5 465.7245 1 2.7e-103
Cluster 4 5 1794.3988 1 4.2e-392

Profile

Cluster
1 2 3 4 5 Overall
Size 0.1480 0.2635 0.0999 0.2321 0.2565
Agreeableness
Mean 0.9245 -0.9889 1.1569 2.1272 -1.9627 -0.0179
Conscientiousness
Mean 1.2340 0.9807 1.1148 -1.9171 1.9068 0.5966
Extroversion
Mean 1.1589 -1.0980 -0.9413 1.9917 -1.9896 -0.2600
Neuroticism
Mean -0.9124 -1.0412 1.0380 -2.0409 1.9897 -0.2689
Openness
Mean 1.1714 1.0529 0.9489 1.9779 -1.9366 0.5078

ProbMeans-Posterior

Cluster
1 2 3 4 5
Overall 0.1480 0.2635 0.0999 0.2321 0.2565
Dependent
Agreeableness
-5.503 - -1.858 0.0046 0.2948 0.0016 0.0000 0.6990
-1.856 - -0.740 0.0538 0.4805 0.0109 0.0000 0.4548
-0.731 - 0.650 0.2164 0.4394 0.1371 0.0836 0.1234
0.652 - 1.785 0.3259 0.0959 0.2290 0.3438 0.0054
1.806 - 4.638 0.1391 0.0068 0.1209 0.7331 0.0001
Conscientiousness
-4.337 - -1.085 0.0064 0.0366 0.0048 0.9521 0.0000
-1.029 - 0.517 0.1569 0.3768 0.1254 0.2013 0.1395
0.529 - 1.283 0.2402 0.3884 0.1385 0.0065 0.2264
1.284 - 2.051 0.1868 0.3247 0.1519 0.0003 0.3363
2.052 - 4.752 0.1495 0.1908 0.0791 0.0002 0.5805
Extroversion
-4.667 - -1.981 0.0013 0.2459 0.0924 0.0000 0.6604
-1.979 - -1.006 0.0084 0.4535 0.1133 0.0001 0.4248
-1.002 - 0.177 0.1263 0.4761 0.2128 0.0237 0.1611
0.181 - 1.624 0.3438 0.1359 0.0796 0.4043 0.0364
1.627 - 5.037 0.2600 0.0060 0.0015 0.7324 0.0000
Neuroticism
-4.406 - -1.927 0.0962 0.2193 0.0016 0.6829 0.0000
-1.920 - -1.087 0.2712 0.4457 0.0065 0.2760 0.0006
-1.085 - -0.0240 0.2369 0.4895 0.0645 0.1794 0.0297
-0.0140 - 1.598 0.1311 0.1581 0.2744 0.0223 0.4142
1.608 - 5.505 0.0044 0.0048 0.1526 0.0000 0.8381
Openness
-4.616 - -1.214 0.0033 0.0136 0.0061 0.0000 0.9771
-1.201 - 0.443 0.1538 0.3526 0.1453 0.0512 0.2971
0.445 - 1.211 0.2238 0.3738 0.1656 0.2309 0.0059
1.212 - 2.032 0.2223 0.3461 0.0976 0.3313 0.0026
2.035 - 5.055 0.1367 0.2312 0.0849 0.5471 0.0000
Independent
Sex
0 0.0767 0.2685 0.0901 0.1641 0.4005
1 0.2148 0.2587 0.1091 0.2959 0.1215

Bivariate Residuals

Dependent Agreeableness Conscientiousness Extroversion Neuroticism Openness
Agreeableness .
Conscientiousness 0.0142 .
Extroversion 0.5544 0.2832 .
Neuroticism 0.1777 0.2466 0.2262 .
Openness 0.1977 0.2936 2.6581 1.6389 .
Independent Agreeableness Conscientiousness Extroversion Neuroticism Openness
Sex 0.0303 0.8333 1.4470 0.6334 0.2905

EstimatedValues-Model

Cluster
Sex 1 2 3 4 5
0 0.0767 0.2685 0.0901 0.1641 0.4005
1 0.2148 0.2587 0.1091 0.2959 0.1215
Agreeableness
Cluster Mean
1 0.9245
2 -0.9889
3 1.1569
4 2.1272
5 -1.9627
Conscientiousness
Cluster Mean
1 1.2340
2 0.9807
3 1.1148
4 -1.9171
5 1.9068
Extroversion
Cluster Mean
1 1.1589
2 -1.0980
3 -0.9413
4 1.9917
5 -1.9896
Neuroticism
Cluster Mean
1 -0.9124
2 -1.0412
3 1.0380
4 -2.0409
5 1.9897
Openness
Cluster Mean
1 1.1714
2 1.0529
3 0.9489
4 1.9779
5 -1.9366

[6B.2] Perfect Indicator (with Robust standard errors) - LL = -9077.4103

Syntax (3) Model
Number of cases 1000
Number of parameters (Npar) 39
Activated Constraints 0
Robustness Effect 1.0023
Random Seed 234462
Best Start Seed 789586
Log-likelihood Statistics
Log-likelihood (LL) -9077.4103
Log-prior 0.0000
Log-posterior -9077.4103
BIC (based on LL) 18424.2230
AIC (based on LL) 18232.8205
AIC3 (based on LL) 18271.8205
CAIC (based on LL) 18463.2230
SABIC (based on LL) 18300.3568
Classification Statistics Cluster Group
Classification errors 0.0737 -0.0000
Reduction of errors (Lambda) 0.9000 1.0000
Entropy R-squared 0.8762 1.0000
Standard R-squared 0.8623 1.0000
Classification log-likelihood -9269.6370
Entropy 192.2267
CLC 18539.2739
AWE 19195.0788
ICL-BIC 18808.6764
Cluster Classification Table Modal
Latent 1 2 3 4 5 Total
1 243.5626 0.0583 2.8871 9.1974 7.7644 263.4699
2 0.8392 226.6435 0.0000 4.5530 0.0742 232.1099
3 2.5721 0.0000 253.0908 0.0168 0.8595 256.5393
4 14.1355 6.2579 0.0200 120.6344 6.9098 147.9577
5 9.8905 0.0402 1.0021 6.5984 82.3920 99.9231
Total 271.0000 233.0000 257.0000 141.0000 98.0000 1000.0000
Cluster Classification Table Proportional
Latent 1 2 3 4 5 Total
1 229.3611 0.6409 3.7718 16.9122 12.7839 263.4699
2 0.6409 223.0385 0.0000 8.2963 0.1342 232.1099
3 3.7718 0.0000 251.4843 0.0806 1.2025 256.5393
4 16.9122 8.2963 0.0806 112.8507 9.8179 147.9577
5 12.7839 0.1342 1.2025 9.8179 75.9846 99.9231
Total 263.4699 232.1099 256.5393 147.9577 99.9231 1000.0000
Group Classification Table Modal
Latent 1 2 Total
1 484.0000 0.0000 484.0000
2 0.0000 516.0000 516.0000
Total 484.0000 516.0000 1000.0000
Group Classification Table Proportional
Latent 1 2 Total
1 484.0000 0.0000 484.0000
2 0.0000 516.0000 516.0000
Total 484.0000 516.0000 1000.0000
Files
Infile C:\Users\glen\Dropbox\SI Dropbox\Consulting\Methodology_Center_PSU\Exercises-for-Glen\Exercise 7\Latent GOLD\Exercise 6 (LPA) Data for LG.csv
Options
threads 8
algorithm
tolerance 1e-008
emtolerance 0.01
emiterations 250
nriterations 50
algorithm NR
MstepNR no
startvalues
seed 0
sets 16
tolerance 1e-005
iterations 50
bayes
categorical 1
variances 0
latent 0
poisson 1
quadrature
nodes 10
missing excludeall
output
parameters effect
standard errors robust
bivariate residuals marginal
identification no
validation LL no
sample size BIC 1000
predictionstatistics no
Variable Detail
Latent
Cluster Nominal Case 5
Group Nominal Case 2
Dependent
Agreeableness Continuous
Conscientiousness Continuous
Extroversion Continuous
Neuroticism Continuous
Openness Continuous
Sex Nominal 2
0 0
1 1

Syntax

options

   maxthreads=8;

   algorithm 

      tolerance=1e-008 emtolerance=0.01 emiterations=250 nriterations=50 ;

   startvalues

      seed=0 sets=16 tolerance=1e-005 iterations=50;

   bayes

      categorical=1 variances=0 latent=0 poisson=1;

   montecarlo

      seed=0 sets=0 replicates=500 tolerance=1e-008;

   quadrature  nodes=10;

   missing  excludeall;

   output      

      parameters=effect  betaopts=wl standarderrors=robust profile probmeans=posterior

      bivariateresiduals estimatedvalues=model;

variables

   dependent Agreeableness continuous, Conscientiousness continuous,

      Extroversion continuous, Neuroticism continuous, Openness continuous, Sex nominal;

   latent

      Cluster nominal 5, Group nominal 2;

equations

   Group <- 1;

   Cluster <- 1 + Group;

   Sex <- (b~wei) Group;

   Agreeableness <- 1 + Cluster;

   Conscientiousness <- 1 + Cluster;

   Extroversion <- 1 + Cluster;

   Neuroticism <- 1 + Cluster;

   Openness <- 1 + Cluster;

   Agreeableness;

   Conscientiousness;

   Extroversion;

   Neuroticism;

   Openness;



   b ={1 0 0 1};

Parameters

Regression Parameters
term coef s.e. Wald(0) df p-value
Cluster(1) <- 1 0.4109 0.0773 53.8035 4 5.8e-11
Cluster(2) <- 1 0.2318 0.0687
Cluster(3) <- 1 0.2328 0.0691
Cluster(4) <- 1 -0.3088 0.1105
Cluster(5) <- 1 -0.5667 0.1199
Cluster(1) <- Group(1) 0.0767 0.0683 107.7342 4 2.2e-22
Cluster(1) <- Group(2) -0.0767 0.0683
Cluster(2) <- Group(1) -0.2366 0.0673
Cluster(2) <- Group(2) 0.2366 0.0673
Cluster(3) <- Group(1) 0.6545 0.0684
Cluster(3) <- Group(2) -0.6545 0.0684
Cluster(4) <- Group(1) -0.4571 0.1008
Cluster(4) <- Group(2) 0.4571 0.1008
Cluster(5) <- Group(1) -0.0375 0.1022
Cluster(5) <- Group(2) 0.0375 0.1022
Group(1) <- 1 -0.0320 0.0317 1.0226 1 0.31
Group(2) <- 1 0.0320 0.0317
Agreeableness <- 1 0.2514 0.0434 33.4870 1 7.2e-9
Agreeableness <- Cluster(1) -1.2403 0.0796 2325.6786 4 1.1e-502
Agreeableness <- Cluster(2) 1.8758 0.0674
Agreeableness <- Cluster(3) -2.2141 0.0641
Agreeableness <- Cluster(4) 0.6731 0.1013
Agreeableness <- Cluster(5) 0.9055 0.1055
Conscientiousness <- 1 0.6639 0.0367 327.5289 1 3.3e-73
Conscientiousness <- Cluster(1) 0.3169 0.0700 1864.3151 4 1.4e-402
Conscientiousness <- Cluster(2) -2.5809 0.0628
Conscientiousness <- Cluster(3) 1.2430 0.0663
Conscientiousness <- Cluster(4) 0.5701 0.0831
Conscientiousness <- Cluster(5) 0.4509 0.0998
Extroversion <- 1 -0.1756 0.0474 13.7075 1 0.00021
Extroversion <- Cluster(1) -0.9223 0.0748 2450.4706 4 9.5e-530
Extroversion <- Cluster(2) 2.1674 0.0675
Extroversion <- Cluster(3) -1.8139 0.0686
Extroversion <- Cluster(4) 1.3345 0.0954
Extroversion <- Cluster(5) -0.7656 0.1235
Neuroticism <- 1 -0.1934 0.0440 19.2841 1 1.1e-5
Neuroticism <- Cluster(1) -0.8479 0.0678 2276.1001 4 6.4e-492
Neuroticism <- Cluster(2) -1.8475 0.0663
Neuroticism <- Cluster(3) 2.1831 0.0661
Neuroticism <- Cluster(4) -0.7191 0.0907
Neuroticism <- Cluster(5) 1.2314 0.1196
Openness <- 1 0.6429 0.0348 341.3138 1 3.3e-76
Openness <- Cluster(1) 0.4100 0.0657 2074.8909 4 2.9e-448
Openness <- Cluster(2) 1.3350 0.0635
Openness <- Cluster(3) -2.5795 0.0607
Openness <- Cluster(4) 0.5285 0.0808
Openness <- Cluster(5) 0.3060 0.1060
Sex(0) <- Group(1) 1.0000 .
Sex(1) <- Group(1) 0.0000 .
Sex(0) <- Group(2) 0.0000 .
Sex(1) <- Group(2) 1.0000 .
Variances
term coef s.e. Wald(0) df p-value
Agreeableness 1.0491 0.0589 317.6795 1 4.6e-71
Conscientiousness 1.0545 0.0479 485.5931 1 1.3e-107
Extroversion 0.9873 0.0525 354.2545 1 5.0e-79
Neuroticism 0.9323 0.0504 341.5176 1 3.0e-76
Openness 0.9751 0.0450 469.6440 1 3.8e-104

Paired Comparisons

Paired Comparisons
term comparison Wald df p-value
Cluster <- 1 Cluster 1 2 3.0477 1 0.081
Cluster 1 3 2.9121 1 0.088
Cluster 1 4 22.3776 1 2.2e-6
Cluster 1 5 34.8621 1 3.5e-9
Cluster 2 3 0.0001 1 0.99
Cluster 2 4 14.0018 1 0.00018
Cluster 2 5 26.7767 1 2.3e-7
Cluster 3 4 14.3470 1 0.00015
Cluster 3 5 26.4715 1 2.7e-7
Cluster 4 5 1.7215 1 0.19
Cluster <- Group Cluster 1 2 10.3817 1 0.0013
Cluster 1 3 33.3643 1 7.6e-9
Cluster 1 4 15.0249 1 0.00011
Cluster 1 5 0.6717 1 0.41
Cluster 2 3 76.4043 1 2.3e-18
Cluster 2 4 2.6027 1 0.11
Cluster 2 5 2.1278 1 0.14
Cluster 3 4 67.8834 1 1.7e-16
Cluster 3 5 24.9034 1 6.0e-7
Cluster 4 5 5.9872 1 0.014
Group 1 2 107.7342 4 2.2e-22
Group <- 1 Group 1 2 1.0226 1 0.31
Agreeableness <- Cluster Cluster 1 2 760.6966 1 1.9e-167
Cluster 1 3 78.8977 1 6.5e-19
Cluster 1 4 170.2976 1 6.4e-39
Cluster 1 5 211.8179 1 5.5e-48
Cluster 2 3 2021.0907 1 2.4e-441
Cluster 2 4 80.6625 1 2.7e-19
Cluster 2 5 46.8932 1 7.5e-12
Cluster 3 4 482.1886 1 7.1e-107
Cluster 3 5 504.3685 1 1.1e-111
Cluster 4 5 1.7483 1 0.19
Conscientiousness <- Cluster Cluster 1 2 857.3716 1 1.8e-188
Cluster 1 3 85.8376 1 2.0e-20
Cluster 1 4 4.2786 1 0.039
Cluster 1 5 0.9045 1 0.34
Cluster 2 3 1485.0185 1 7.0e-325
Cluster 2 4 826.7399 1 8.3e-182
Cluster 2 5 505.7103 1 5.4e-112
Cluster 3 4 32.2942 1 1.3e-8
Cluster 3 5 34.3567 1 4.6e-9
Cluster 4 5 0.6014 1 0.44
Extroversion <- Cluster Cluster 1 2 1006.4083 1 7.3e-221
Cluster 1 3 81.6601 1 1.6e-19
Cluster 1 4 288.5463 1 1.0e-64
Cluster 1 5 0.8113 1 0.37
Cluster 2 3 2038.3036 1 4.3e-445
Cluster 2 4 38.9214 1 4.4e-10
Cluster 2 5 320.0823 1 1.4e-71
Cluster 3 4 549.8440 1 1.4e-121
Cluster 3 5 40.4591 1 2.0e-10
Cluster 4 5 141.5248 1 1.2e-32
Neuroticism <- Cluster Cluster 1 2 112.8297 1 2.4e-26
Cluster 1 3 1047.1623 1 1.0e-229
Cluster 1 4 0.9976 1 0.32
Cluster 1 5 175.6202 1 4.4e-40
Cluster 2 3 1980.3019 1 1.7e-432
Cluster 2 4 87.1006 1 1.0e-20
Cluster 2 5 361.9554 1 1.1e-80
Cluster 3 4 564.2197 1 1.0e-124
Cluster 3 5 35.0623 1 3.2e-9
Cluster 4 5 123.3972 1 1.1e-28
Openness <- Cluster Cluster 1 2 94.3140 1 2.7e-22
Cluster 1 3 1055.1805 1 1.8e-231
Cluster 1 4 1.1245 1 0.29
Cluster 1 5 0.5075 1 0.48
Cluster 2 3 1729.9452 1 4.3e-378
Cluster 2 4 52.2805 1 4.8e-13
Cluster 2 5 54.0355 1 2.0e-13
Cluster 3 4 827.5263 1 5.6e-182
Cluster 3 5 432.8467 1 3.9e-96
Cluster 4 5 1.9161 1 0.17
Sex <- Group Group 1 2 0.0000 0 .

Profile

Cluster Group
1 2 3 4 5 1 2 Overall
Size 0.2635 0.2321 0.2565 0.1480 0.0999 0.4840 0.5160
Agreeableness
Mean -0.9889 2.1272 -1.9627 0.9245 1.1569 -0.5273 0.4599 -0.0179
Conscientiousness
Mean 0.9807 -1.9171 1.9068 1.2340 1.1148 0.9075 0.3049 0.5966
Extroversion
Mean -1.0980 1.9917 -1.9896 1.1589 -0.9413 -0.7608 0.2098 -0.2600
Neuroticism
Mean -1.0412 -2.0409 1.9897 -0.9124 1.0380 0.2059 -0.7143 -0.2689
Openness
Mean 1.0529 1.9779 -1.9366 1.1714 0.9489 0.0071 0.9775 0.5078
Sex
0 0.4933 0.3423 0.7556 0.2508 0.4366 1.0000 0.0000 0.4840
1 0.5067 0.6577 0.2444 0.7492 0.5634 0.0000 1.0000 0.5160

ProbMeans-Posterior

Cluster Group
1 2 3 4 5 1 2
Overall 0.2635 0.2321 0.2565 0.1480 0.0999 0.4840 0.5160
Dependent
Agreeableness
-5.503 - -1.858 0.2948 0.0000 0.6990 0.0046 0.0016 0.6700 0.3300
-1.856 - -0.740 0.4805 0.0000 0.4548 0.0538 0.0109 0.6150 0.3850
-0.731 - 0.650 0.4394 0.0836 0.1234 0.2164 0.1371 0.4450 0.5550
0.652 - 1.785 0.0959 0.3438 0.0054 0.3259 0.2290 0.3350 0.6650
1.806 - 4.638 0.0068 0.7331 0.0001 0.1391 0.1209 0.3550 0.6450
Conscientiousness
-4.337 - -1.085 0.0366 0.9521 0.0000 0.0064 0.0048 0.3500 0.6500
-1.029 - 0.517 0.3768 0.2013 0.1395 0.1569 0.1254 0.4850 0.5150
0.529 - 1.283 0.3884 0.0065 0.2264 0.2402 0.1385 0.4800 0.5200
1.284 - 2.051 0.3247 0.0003 0.3363 0.1868 0.1519 0.5150 0.4850
2.052 - 4.752 0.1908 0.0002 0.5805 0.1495 0.0791 0.5900 0.4100
Extroversion
-4.667 - -1.981 0.2459 0.0000 0.6604 0.0013 0.0924 0.6750 0.3250
-1.979 - -1.006 0.4535 0.0001 0.4248 0.0084 0.1133 0.5700 0.4300
-1.002 - 0.177 0.4761 0.0237 0.1611 0.1263 0.2128 0.5000 0.5000
0.181 - 1.624 0.1359 0.4043 0.0364 0.3438 0.0796 0.3050 0.6950
1.627 - 5.037 0.0060 0.7324 0.0000 0.2600 0.0015 0.3700 0.6300
Neuroticism
-4.406 - -1.927 0.2193 0.6829 0.0000 0.0962 0.0016 0.3850 0.6150
-1.920 - -1.087 0.4457 0.2760 0.0006 0.2712 0.0065 0.3600 0.6400
-1.085 - -0.0240 0.4895 0.1794 0.0297 0.2369 0.0645 0.4150 0.5850
-0.0140 - 1.598 0.1581 0.0223 0.4142 0.1311 0.2744 0.5750 0.4250
1.608 - 5.505 0.0048 0.0000 0.8381 0.0044 0.1526 0.6850 0.3150
Openness
-4.616 - -1.214 0.0136 0.0000 0.9771 0.0033 0.0061 0.7300 0.2700
-1.201 - 0.443 0.3526 0.0512 0.2971 0.1538 0.1453 0.5250 0.4750
0.445 - 1.211 0.3738 0.2309 0.0059 0.2238 0.1656 0.3750 0.6250
1.212 - 2.032 0.3461 0.3313 0.0026 0.2223 0.0976 0.3850 0.6150
2.035 - 5.055 0.2312 0.5471 0.0000 0.1367 0.0849 0.4050 0.5950
Sex
0 0.2685 0.1641 0.4005 0.0767 0.0901 1.0000 0.0000
1 0.2587 0.2959 0.1215 0.2148 0.1091 0.0000 1.0000

Bivariate Residuals

Dependent Agreeableness Conscientiousness Extroversion Neuroticism Openness Sex
Agreeableness .
Conscientiousness 0.0142 .
Extroversion 0.5544 0.2832 .
Neuroticism 0.1777 0.2466 0.2262 .
Openness 0.1977 0.2936 2.6581 1.6389 .
Sex 0.0303 0.8333 1.4470 0.6334 0.2905 .

EstimatedValues-Model

Group
1 2
0.4840 0.5160
Cluster
Group 1 2 3 4 5
1 0.2685 0.1641 0.4005 0.0767 0.0901
2 0.2587 0.2959 0.1215 0.2148 0.1091
Cluster
1 1 2 2 3 3 4 4 5 5
Group
1 2 1 2 1 2 1 2 1 2
0.1300 0.1335 0.0794 0.1527 0.1939 0.0627 0.0371 0.1108 0.0436 0.0563
Agreeableness
Cluster Mean
1 -0.9889
2 2.1272
3 -1.9627
4 0.9245
5 1.1569
Conscientiousness
Cluster Mean
1 0.9807
2 -1.9171
3 1.9068
4 1.2340
5 1.1148
Extroversion
Cluster Mean
1 -1.0980
2 1.9917
3 -1.9896
4 1.1589
5 -0.9413
Neuroticism
Cluster Mean
1 -1.0412
2 -2.0409
3 1.9897
4 -0.9124
5 1.0380
Openness
Cluster Mean
1 1.0529
2 1.9779
3 -1.9366
4 1.1714
5 0.9489
Sex
Group 0 1
1 1.0000 0.0000
2 0.0000 1.0000

[6B.2] Perfect Indicator with Knownclass (as done in Mplus) - LL = -9077.4103

Syntax (4) Model
Number of cases 1000
Number of parameters (Npar) 39
Activated Constraints 0
Robustness Effect 1.0023
Random Seed 250087
Best Start Seed 938960
Log-likelihood Statistics
Log-likelihood (LL) -9077.4103
Log-prior 0.0000
Log-posterior -9077.4103
BIC (based on LL) 18424.2230
AIC (based on LL) 18232.8205
AIC3 (based on LL) 18271.8205
CAIC (based on LL) 18463.2230
SABIC (based on LL) 18300.3568
Classification Statistics Cluster Group
Classification errors 0.0737 0.0000
Reduction of errors (Lambda) 0.9000 1.0000
Entropy R-squared 0.8762 1.0000
Standard R-squared 0.8623 1.0000
Classification log-likelihood -9269.6370
Entropy 192.2267
CLC 18539.2739
AWE 19195.0788
ICL-BIC 18808.6764
Cluster Classification Table Modal
Latent 1 2 3 4 5 Total
1 120.6344 0.0200 6.2579 14.1355 6.9098 147.9577
2 0.0168 253.0908 0.0000 2.5721 0.8595 256.5393
3 4.5530 0.0000 226.6435 0.8392 0.0742 232.1099
4 9.1974 2.8871 0.0583 243.5626 7.7644 263.4699
5 6.5984 1.0021 0.0402 9.8905 82.3920 99.9231
Total 141.0000 257.0000 233.0000 271.0000 98.0000 1000.0000
Cluster Classification Table Proportional
Latent 1 2 3 4 5 Total
1 112.8507 0.0806 8.2963 16.9122 9.8179 147.9577
2 0.0806 251.4843 0.0000 3.7718 1.2025 256.5393
3 8.2963 0.0000 223.0385 0.6409 0.1342 232.1099
4 16.9122 3.7718 0.6409 229.3611 12.7839 263.4699
5 9.8179 1.2025 0.1342 12.7839 75.9846 99.9231
Total 147.9577 256.5393 232.1099 263.4699 99.9231 1000.0000
Group Classification Table Modal
Latent 1 2 Total
1 484.0000 0.0000 484.0000
2 0.0000 516.0000 516.0000
Total 484.0000 516.0000 1000.0000
Group Classification Table Proportional
Latent 1 2 Total
1 484.0000 0.0000 484.0000
2 0.0000 516.0000 516.0000
Total 484.0000 516.0000 1000.0000
Files
Infile C:\Users\glen\Dropbox\SI Dropbox\Consulting\Methodology_Center_PSU\Exercises-for-Glen\Exercise 7\Latent GOLD\Exercise 6 (LPA) Data for LG.csv
Options
threads 8
algorithm
tolerance 1e-008
emtolerance 0.01
emiterations 250
nriterations 50
algorithm NR
MstepNR no
startvalues
seed 0
sets 16
tolerance 1e-005
iterations 50
bayes
categorical 1
variances 0
latent 0
poisson 1
quadrature
nodes 10
missing excludeall
output
parameters effect
standard errors robust
bivariate residuals marginal
identification no
validation LL no
sample size BIC 1000
predictionstatistics no
Variable Detail
Latent
Cluster Nominal Case 5
Group Nominal Case 2
Dependent
Agreeableness Continuous
Conscientiousness Continuous
Extroversion Continuous
Neuroticism Continuous
Openness Continuous

Syntax

options

   maxthreads=8;

   algorithm 

      tolerance=1e-008 emtolerance=0.01 emiterations=250 nriterations=50 ;

   startvalues

      seed=0 sets=16 tolerance=1e-005 iterations=50;

   bayes

      categorical=1 variances=0 latent=0 poisson=1;

   montecarlo

      seed=0 sets=0 replicates=500 tolerance=1e-008;

   quadrature  nodes=10;

   missing  excludeall;

   output      

      parameters=effect  betaopts=wl standarderrors=robust profile probmeans=posterior

      bivariateresiduals estimatedvalues=model;

variables

   dependent Agreeableness continuous, Conscientiousness continuous,

      Extroversion continuous, Neuroticism continuous, Openness continuous;

   latent

      Cluster nominal 5, Group nominal 2 knownclass=Sex(0: 1 0, 1: 0 1);

equations

   Group <- 1;

   Cluster <- 1 + Group;

   Agreeableness <- 1 + Cluster;

   Conscientiousness <- 1 + Cluster;

   Extroversion <- 1 + Cluster;

   Neuroticism <- 1 + Cluster;

   Openness <- 1 + Cluster;

   Agreeableness;

   Conscientiousness;

   Extroversion;

   Neuroticism;

   Openness;

Parameters

Regression Parameters
term coef Wald(0) df p-value
Cluster(1) <- 1 -0.3088 53.8035 4 5.8e-11
Cluster(2) <- 1 0.2328
Cluster(3) <- 1 0.2318
Cluster(4) <- 1 0.4109
Cluster(5) <- 1 -0.5667
Cluster(1) <- Group(1) -0.4571 107.7342 4 2.2e-22
Cluster(1) <- Group(2) 0.4571
Cluster(2) <- Group(1) 0.6545
Cluster(2) <- Group(2) -0.6545
Cluster(3) <- Group(1) -0.2366
Cluster(3) <- Group(2) 0.2366
Cluster(4) <- Group(1) 0.0767
Cluster(4) <- Group(2) -0.0767
Cluster(5) <- Group(1) -0.0375
Cluster(5) <- Group(2) 0.0375
Group(1) <- 1 -0.0320 1.0226 1 0.31
Group(2) <- 1 0.0320
Agreeableness <- 1 0.2514 33.4870 1 7.2e-9
Agreeableness <- Cluster(1) 0.6731 2325.6786 4 1.1e-502
Agreeableness <- Cluster(2) -2.2141
Agreeableness <- Cluster(3) 1.8758
Agreeableness <- Cluster(4) -1.2403
Agreeableness <- Cluster(5) 0.9055
Conscientiousness <- 1 0.6639 327.5289 1 3.3e-73
Conscientiousness <- Cluster(1) 0.5701 1864.3151 4 1.4e-402
Conscientiousness <- Cluster(2) 1.2430
Conscientiousness <- Cluster(3) -2.5809
Conscientiousness <- Cluster(4) 0.3169
Conscientiousness <- Cluster(5) 0.4509
Extroversion <- 1 -0.1756 13.7075 1 0.00021
Extroversion <- Cluster(1) 1.3345 2450.4706 4 9.5e-530
Extroversion <- Cluster(2) -1.8139
Extroversion <- Cluster(3) 2.1674
Extroversion <- Cluster(4) -0.9223
Extroversion <- Cluster(5) -0.7656
Neuroticism <- 1 -0.1934 19.2841 1 1.1e-5
Neuroticism <- Cluster(1) -0.7191 2276.1001 4 6.4e-492
Neuroticism <- Cluster(2) 2.1831
Neuroticism <- Cluster(3) -1.8475
Neuroticism <- Cluster(4) -0.8479
Neuroticism <- Cluster(5) 1.2314
Openness <- 1 0.6429 341.3138 1 3.3e-76
Openness <- Cluster(1) 0.5285 2074.8909 4 2.9e-448
Openness <- Cluster(2) -2.5795
Openness <- Cluster(3) 1.3350
Openness <- Cluster(4) 0.4100
Openness <- Cluster(5) 0.3060
Variances
term coef Wald(0) df p-value
Agreeableness 1.0491 317.6795 1 4.6e-71
Conscientiousness 1.0545 485.5931 1 1.3e-107
Extroversion 0.9873 354.2545 1 5.0e-79
Neuroticism 0.9323 341.5176 1 3.0e-76
Openness 0.9751 469.6440 1 3.8e-104

Paired Comparisons

Paired Comparisons
term comparison Wald df p-value
Cluster <- 1 Cluster 1 2 14.3470 1 0.00015
Cluster 1 3 14.0018 1 0.00018
Cluster 1 4 22.3776 1 2.2e-6
Cluster 1 5 1.7215 1 0.19
Cluster 2 3 0.0001 1 0.99
Cluster 2 4 2.9121 1 0.088
Cluster 2 5 26.4715 1 2.7e-7
Cluster 3 4 3.0477 1 0.081
Cluster 3 5 26.7767 1 2.3e-7
Cluster 4 5 34.8621 1 3.5e-9
Cluster <- Group Cluster 1 2 67.8834 1 1.7e-16
Cluster 1 3 2.6027 1 0.11
Cluster 1 4 15.0249 1 0.00011
Cluster 1 5 5.9872 1 0.014
Cluster 2 3 76.4043 1 2.3e-18
Cluster 2 4 33.3643 1 7.6e-9
Cluster 2 5 24.9034 1 6.0e-7
Cluster 3 4 10.3817 1 0.0013
Cluster 3 5 2.1278 1 0.14
Cluster 4 5 0.6717 1 0.41
Group 1 2 107.7342 4 2.2e-22
Group <- 1 Group 1 2 1.0226 1 0.31
Agreeableness <- Cluster Cluster 1 2 482.1886 1 7.1e-107
Cluster 1 3 80.6625 1 2.7e-19
Cluster 1 4 170.2976 1 6.4e-39
Cluster 1 5 1.7483 1 0.19
Cluster 2 3 2021.0907 1 2.4e-441
Cluster 2 4 78.8977 1 6.5e-19
Cluster 2 5 504.3685 1 1.1e-111
Cluster 3 4 760.6966 1 1.9e-167
Cluster 3 5 46.8932 1 7.5e-12
Cluster 4 5 211.8179 1 5.5e-48
Conscientiousness <- Cluster Cluster 1 2 32.2942 1 1.3e-8
Cluster 1 3 826.7399 1 8.3e-182
Cluster 1 4 4.2786 1 0.039
Cluster 1 5 0.6014 1 0.44
Cluster 2 3 1485.0185 1 7.0e-325
Cluster 2 4 85.8376 1 2.0e-20
Cluster 2 5 34.3567 1 4.6e-9
Cluster 3 4 857.3716 1 1.8e-188
Cluster 3 5 505.7103 1 5.4e-112
Cluster 4 5 0.9045 1 0.34
Extroversion <- Cluster Cluster 1 2 549.8440 1 1.4e-121
Cluster 1 3 38.9214 1 4.4e-10
Cluster 1 4 288.5463 1 1.0e-64
Cluster 1 5 141.5248 1 1.2e-32
Cluster 2 3 2038.3036 1 4.3e-445
Cluster 2 4 81.6601 1 1.6e-19
Cluster 2 5 40.4591 1 2.0e-10
Cluster 3 4 1006.4083 1 7.3e-221
Cluster 3 5 320.0823 1 1.4e-71
Cluster 4 5 0.8113 1 0.37
Neuroticism <- Cluster Cluster 1 2 564.2197 1 1.0e-124
Cluster 1 3 87.1006 1 1.0e-20
Cluster 1 4 0.9976 1 0.32
Cluster 1 5 123.3972 1 1.1e-28
Cluster 2 3 1980.3019 1 1.7e-432
Cluster 2 4 1047.1623 1 1.0e-229
Cluster 2 5 35.0623 1 3.2e-9
Cluster 3 4 112.8297 1 2.4e-26
Cluster 3 5 361.9554 1 1.1e-80
Cluster 4 5 175.6202 1 4.4e-40
Openness <- Cluster Cluster 1 2 827.5263 1 5.6e-182
Cluster 1 3 52.2805 1 4.8e-13
Cluster 1 4 1.1245 1 0.29
Cluster 1 5 1.9161 1 0.17
Cluster 2 3 1729.9452 1 4.3e-378
Cluster 2 4 1055.1805 1 1.8e-231
Cluster 2 5 432.8467 1 3.9e-96
Cluster 3 4 94.3140 1 2.7e-22
Cluster 3 5 54.0355 1 2.0e-13
Cluster 4 5 0.5075 1 0.48

Profile

Cluster Group
1 2 3 4 5 1 2 Overall
Size 0.1480 0.2565 0.2321 0.2635 0.0999 0.4840 0.5160
Agreeableness
Mean 0.9245 -1.9627 2.1272 -0.9889 1.1569 -0.5273 0.4599 -0.0179
Conscientiousness
Mean 1.2340 1.9068 -1.9171 0.9807 1.1148 0.9075 0.3049 0.5966
Extroversion
Mean 1.1589 -1.9896 1.9917 -1.0980 -0.9413 -0.7608 0.2098 -0.2600
Neuroticism
Mean -0.9124 1.9897 -2.0409 -1.0412 1.0380 0.2059 -0.7143 -0.2689
Openness
Mean 1.1714 -1.9366 1.9779 1.0529 0.9489 0.0071 0.9775 0.5078

ProbMeans-Posterior

Cluster Group
1 2 3 4 5 1 2
Overall 0.1480 0.2565 0.2321 0.2635 0.0999 0.4840 0.5160
Dependent
Agreeableness
-5.503 - -1.858 0.0046 0.6990 0.0000 0.2948 0.0016 0.6700 0.3300
-1.856 - -0.740 0.0538 0.4548 0.0000 0.4805 0.0109 0.6150 0.3850
-0.731 - 0.650 0.2164 0.1234 0.0836 0.4394 0.1371 0.4450 0.5550
0.652 - 1.785 0.3259 0.0054 0.3438 0.0959 0.2290 0.3350 0.6650
1.806 - 4.638 0.1391 0.0001 0.7331 0.0068 0.1209 0.3550 0.6450
Conscientiousness
-4.337 - -1.085 0.0064 0.0000 0.9521 0.0366 0.0048 0.3500 0.6500
-1.029 - 0.517 0.1569 0.1395 0.2013 0.3768 0.1254 0.4850 0.5150
0.529 - 1.283 0.2402 0.2264 0.0065 0.3884 0.1385 0.4800 0.5200
1.284 - 2.051 0.1868 0.3363 0.0003 0.3247 0.1519 0.5150 0.4850
2.052 - 4.752 0.1495 0.5805 0.0002 0.1908 0.0791 0.5900 0.4100
Extroversion
-4.667 - -1.981 0.0013 0.6604 0.0000 0.2459 0.0924 0.6750 0.3250
-1.979 - -1.006 0.0084 0.4248 0.0001 0.4535 0.1133 0.5700 0.4300
-1.002 - 0.177 0.1263 0.1611 0.0237 0.4761 0.2128 0.5000 0.5000
0.181 - 1.624 0.3438 0.0364 0.4043 0.1359 0.0796 0.3050 0.6950
1.627 - 5.037 0.2600 0.0000 0.7324 0.0060 0.0015 0.3700 0.6300
Neuroticism
-4.406 - -1.927 0.0962 0.0000 0.6829 0.2193 0.0016 0.3850 0.6150
-1.920 - -1.087 0.2712 0.0006 0.2760 0.4457 0.0065 0.3600 0.6400
-1.085 - -0.0240 0.2369 0.0297 0.1794 0.4895 0.0645 0.4150 0.5850
-0.0140 - 1.598 0.1311 0.4142 0.0223 0.1581 0.2744 0.5750 0.4250
1.608 - 5.505 0.0044 0.8381 0.0000 0.0048 0.1526 0.6850 0.3150
Openness
-4.616 - -1.214 0.0033 0.9771 0.0000 0.0136 0.0061 0.7300 0.2700
-1.201 - 0.443 0.1538 0.2971 0.0512 0.3526 0.1453 0.5250 0.4750
0.445 - 1.211 0.2238 0.0059 0.2309 0.3738 0.1656 0.3750 0.6250
1.212 - 2.032 0.2223 0.0026 0.3313 0.3461 0.0976 0.3850 0.6150
2.035 - 5.055 0.1367 0.0000 0.5471 0.2312 0.0849 0.4050 0.5950
Independent
Sex
0 0.0767 0.4005 0.1641 0.2685 0.0901 1.0000 0.0000
1 0.2148 0.1215 0.2959 0.2587 0.1091 0.0000 1.0000

Bivariate Residuals

Dependent Agreeableness Conscientiousness Extroversion Neuroticism Openness
Agreeableness .
Conscientiousness 0.0142 .
Extroversion 0.5544 0.2832 .
Neuroticism 0.1777 0.2466 0.2262 .
Openness 0.1977 0.2936 2.6581 1.6389 .
Independent Agreeableness Conscientiousness Extroversion Neuroticism Openness
Sex 0.0150 0.4160 0.7317 0.3048 0.1376

EstimatedValues-Model

Group
1 2
0.4840 0.5160
Cluster
Group 1 2 3 4 5
1 0.0767 0.4005 0.1641 0.2685 0.0901
2 0.2148 0.1215 0.2959 0.2587 0.1091
Cluster
1 1 2 2 3 3 4 4 5 5
Group
1 2 1 2 1 2 1 2 1 2
0.0371 0.1108 0.1939 0.0627 0.0794 0.1527 0.1300 0.1335 0.0436 0.0563
Agreeableness
Cluster Mean
1 0.9245
2 -1.9627
3 2.1272
4 -0.9889
5 1.1569
Conscientiousness
Cluster Mean
1 1.2340
2 1.9068
3 -1.9171
4 0.9807
5 1.1148
Extroversion
Cluster Mean
1 1.1589
2 -1.9896
3 1.9917
4 -1.0980
5 -0.9413
Neuroticism
Cluster Mean
1 -0.9124
2 1.9897
3 -2.0409
4 -1.0412
5 1.0380
Openness
Cluster Mean
1 1.1714
2 -1.9366
3 1.9779
4 1.0529
5 0.9489

[6B.3] Knownclass with variances depending on Sex - LL = -9071.6926

Syntax (5) Model
Number of cases 1000
Number of parameters (Npar) 44
Activated Constraints 0
Random Seed 281337
Best Start Seed 380717
Log-likelihood Statistics
Log-likelihood (LL) -9071.6926
Log-prior 0.0000
Log-posterior -9071.6926
BIC (based on LL) 18447.3264
AIC (based on LL) 18231.3851
AIC3 (based on LL) 18275.3851
CAIC (based on LL) 18491.3264
SABIC (based on LL) 18307.5799
Classification Statistics Cluster Group
Classification errors 0.0723 0.0000
Reduction of errors (Lambda) 0.9018 1.0000
Entropy R-squared 0.8786 1.0000
Standard R-squared 0.8651 1.0000
Classification log-likelihood -9260.1322
Entropy 188.4396
CLC 18520.2643
AWE 19260.1468
ICL-BIC 18824.2055
Cluster Classification Table Modal
Latent 1 2 3 4 5 Total
1 122.6476 5.9319 13.1538 6.8461 0.0202 148.5996
2 4.0985 226.9670 0.8953 0.0653 0.0000 232.0261
3 9.8410 0.0673 242.0120 7.8529 3.3572 263.1303
4 6.3959 0.0337 9.8789 82.3968 0.9819 99.6873
5 0.0170 0.0000 2.0600 0.8390 253.6407 256.5567
Total 143.0000 233.0000 268.0000 98.0000 258.0000 1000.0000
Cluster Classification Table Proportional
Latent 1 2 3 4 5 Total
1 114.6931 7.6979 16.5887 9.5382 0.0817 148.5996
2 7.6979 223.5483 0.6511 0.1287 0.0000 232.0261
3 16.5887 0.6511 229.2387 12.8582 3.7936 263.1303
4 9.5382 0.1287 12.8582 75.9483 1.2139 99.6873
5 0.0817 0.0000 3.7936 1.2139 251.4675 256.5567
Total 148.5996 232.0261 263.1303 99.6873 256.5567 1000.0000
Group Classification Table Modal
Latent 1 2 Total
1 484.0000 0.0000 484.0000
2 0.0000 516.0000 516.0000
Total 484.0000 516.0000 1000.0000
Group Classification Table Proportional
Latent 1 2 Total
1 484.0000 0.0000 484.0000
2 0.0000 516.0000 516.0000
Total 484.0000 516.0000 1000.0000
Files
Infile C:\Users\glen\Dropbox\SI Dropbox\Consulting\Methodology_Center_PSU\Exercises-for-Glen\Exercise 7\Latent GOLD\Exercise 6 (LPA) Data for LG.csv
Options
threads 8
algorithm
tolerance 1e-008
emtolerance 0.01
emiterations 250
nriterations 50
algorithm NR
MstepNR no
startvalues
seed 0
sets 16
tolerance 1e-005
iterations 50
bayes
categorical 1
variances 0
latent 0
poisson 1
quadrature
nodes 10
missing excludeall
output
parameters effect
standard errors standard
bivariate residuals marginal
identification no
validation LL no
sample size BIC 1000
predictionstatistics no
Variable Detail
Latent
Cluster Nominal Case 5
Group Nominal Case 2
Dependent
Agreeableness Continuous
Conscientiousness Continuous
Extroversion Continuous
Neuroticism Continuous
Openness Continuous

Syntax

options

   maxthreads=8;

   algorithm 

      tolerance=1e-008 emtolerance=0.01 emiterations=250 nriterations=50 ;

   startvalues

      seed=0 sets=16 tolerance=1e-005 iterations=50;

   bayes

      categorical=1 variances=0 latent=0 poisson=1;

   montecarlo

      seed=0 sets=0 replicates=500 tolerance=1e-008;

   quadrature  nodes=10;

   missing  excludeall;

   output      

      parameters=effect  betaopts=wl standarderrors profile probmeans=posterior

      bivariateresiduals estimatedvalues=model;

variables

   dependent Agreeableness continuous, Conscientiousness continuous,

      Extroversion continuous, Neuroticism continuous, Openness continuous;

   latent

      Cluster nominal 5, Group nominal 2 knownclass=Sex(0: 1 0, 1: 0 1);

equations

   Group <- 1;

   Cluster <- 1 + Group;

   Agreeableness - Openness <- 1 + Cluster;

   Agreeableness - Openness | Group;

Parameters

Regression Parameters
term coef Wald(0) df p-value Wald(=) df p-value
Cluster(1) <- 1 -0.3093 53.7078 4 6.1e-11
Cluster(2) <- 1 0.2329
Cluster(3) <- 1 0.4104
Cluster(4) <- 1 -0.5675
Cluster(5) <- 1 0.2334
Cluster(1) <- Group(1) -0.4681 107.4512 4 2.5e-22
Cluster(1) <- Group(2) 0.4681
Cluster(2) <- Group(1) -0.2343
Cluster(2) <- Group(2) 0.2343
Cluster(3) <- Group(1) 0.0785
Cluster(3) <- Group(2) -0.0785
Cluster(4) <- Group(1) -0.0313
Cluster(4) <- Group(2) 0.0313
Cluster(5) <- Group(1) 0.6553
Cluster(5) <- Group(2) -0.6553
Group(1) <- 1 -0.0320 1.0237 1 0.31
Group(2) <- 1 0.0320
Agreeableness <- 1 0.2502 33.0283 1 9.1e-9
Agreeableness <- Cluster(1) 0.6640 2216.2163 4 6.3e-479
Agreeableness <- Cluster(2) 1.8750
Agreeableness <- Cluster(3) -1.2342
Agreeableness <- Cluster(4) 0.9083
Agreeableness <- Cluster(5) -2.2131
Conscientiousness <- 1 0.6667 317.6429 1 4.7e-71
Conscientiousness <- Cluster(1) 0.5775 1825.7487 4 3.2e-394
Conscientiousness <- Cluster(2) -2.5874
Conscientiousness <- Cluster(3) 0.3178
Conscientiousness <- Cluster(4) 0.4444
Conscientiousness <- Cluster(5) 1.2478
Extroversion <- 1 -0.1784 16.0480 1 6.2e-5
Extroversion <- Cluster(1) 1.3391 2354.9807 4 4.9e-509
Extroversion <- Cluster(2) 2.1668
Extroversion <- Cluster(3) -0.9329
Extroversion <- Cluster(4) -0.7644
Extroversion <- Cluster(5) -1.8086
Neuroticism <- 1 -0.1922 19.5657 1 9.7e-6
Neuroticism <- Cluster(1) -0.7152 2379.9003 4 1.9e-514
Neuroticism <- Cluster(2) -1.8464
Neuroticism <- Cluster(3) -0.8541
Neuroticism <- Cluster(4) 1.2331
Neuroticism <- Cluster(5) 2.1825
Openness <- 1 0.6427 338.2188 1 1.6e-75
Openness <- Cluster(1) 0.5262 2106.7292 4 3.6e-455
Openness <- Cluster(2) 1.3400
Openness <- Cluster(3) 0.4015
Openness <- Cluster(4) 0.3109
Openness <- Cluster(5) -2.5786
Variances
term coef Wald(0) df p-value Wald(=) df p-value
Agreeableness | Group(1) 1.0195 354.6019 2 1.0e-77 0.4188 1 0.52
Agreeableness | Group(2) 1.0895
Conscientiousness | Group(1) 1.1947 450.4473 2 1.5e-98 7.8017 1 0.0052
Conscientiousness | Group(2) 0.9148
Extroversion | Group(1) 1.0444 367.7712 2 1.4e-80 1.5603 1 0.21
Extroversion | Group(2) 0.9189
Neuroticism | Group(1) 0.9373 355.9987 2 5.0e-78 0.0119 1 0.91
Neuroticism | Group(2) 0.9268
Openness | Group(1) 1.0335 461.4582 2 6.2e-101 1.4476 1 0.23
Openness | Group(2) 0.9225

Paired Comparisons

Paired Comparisons
term comparison Wald df p-value
Cluster <- 1 Cluster 1 2 13.2035 1 0.00028
Cluster 1 3 21.1304 1 4.3e-6
Cluster 1 4 1.6494 1 0.20
Cluster 1 5 13.6013 1 0.00023
Cluster 2 3 3.0320 1 0.082
Cluster 2 4 27.1576 1 1.9e-7
Cluster 2 5 0.0000 1 1.00
Cluster 3 4 35.2864 1 2.8e-9
Cluster 3 5 2.8971 1 0.089
Cluster 4 5 26.7328 1 2.3e-7
Cluster <- Group Cluster 1 2 2.8264 1 0.093
Cluster 1 3 15.4992 1 8.3e-5
Cluster 1 4 6.3768 1 0.012
Cluster 1 5 67.0568 1 2.6e-16
Cluster 2 3 10.3312 1 0.0013
Cluster 2 4 2.2015 1 0.14
Cluster 2 5 76.2231 1 2.5e-18
Cluster 3 4 0.6148 1 0.43
Cluster 3 5 33.2133 1 8.3e-9
Cluster 4 5 24.3899 1 7.9e-7
Group 1 2 107.4512 4 2.5e-22
Group <- 1 Group 1 2 1.0237 1 0.31
Agreeableness <- Cluster Cluster 1 2 86.5269 1 1.4e-20
Cluster 1 3 207.3111 1 5.3e-47
Cluster 1 4 1.8796 1 0.17
Cluster 1 5 510.5143 1 4.9e-113
Cluster 2 3 855.9002 1 3.8e-188
Cluster 2 4 40.8912 1 1.6e-10
Cluster 2 5 1860.8397 1 1.6e-406
Cluster 3 4 205.8386 1 1.1e-46
Cluster 3 5 90.1982 1 2.2e-21
Cluster 4 5 443.5960 1 1.8e-98
Conscientiousness <- Cluster Cluster 1 2 781.0713 1 7.0e-172
Cluster 1 3 4.3853 1 0.036
Cluster 1 4 0.6970 1 0.40
Cluster 1 5 31.9146 1 1.6e-8
Cluster 2 3 855.4461 1 4.8e-188
Cluster 2 4 475.0946 1 2.5e-105
Cluster 2 5 1532.4760 1 3.4e-335
Cluster 3 4 0.7867 1 0.38
Cluster 3 5 94.3558 1 2.6e-22
Cluster 4 5 34.7822 1 3.7e-9
Extroversion <- Cluster Cluster 1 2 41.0390 1 1.5e-10
Cluster 1 3 340.0503 1 6.2e-76
Cluster 1 4 173.5178 1 1.3e-39
Cluster 1 5 603.8094 1 2.5e-133
Cluster 2 3 979.2537 1 5.8e-215
Cluster 2 4 392.5761 1 2.3e-87
Cluster 2 5 1886.5017 1 4.1e-412
Cluster 3 4 1.1836 1 0.28
Cluster 3 5 77.7351 1 1.2e-18
Cluster 4 5 50.1380 1 1.4e-12
Neuroticism <- Cluster Cluster 1 2 84.7205 1 3.4e-20
Cluster 1 3 1.1548 1 0.28
Cluster 1 4 140.9795 1 1.6e-32
Cluster 1 5 574.5451 1 5.8e-127
Cluster 2 3 105.5331 1 9.3e-25
Cluster 2 4 408.5601 1 7.5e-91
Cluster 2 5 1985.2589 1 1.4e-433
Cluster 3 4 200.0139 1 2.1e-45
Cluster 3 5 1059.3763 1 2.2e-232
Cluster 4 5 39.2373 1 3.8e-10
Openness <- Cluster Cluster 1 2 48.7864 1 2.9e-12
Cluster 1 3 1.1128 1 0.29
Cluster 1 4 1.7827 1 0.18
Cluster 1 5 742.3559 1 1.8e-163
Cluster 2 3 99.8295 1 1.7e-23
Cluster 2 4 57.7111 1 3.0e-14
Cluster 2 5 1791.0816 1 2.2e-391
Cluster 3 4 0.4106 1 0.52
Cluster 3 5 1055.6177 1 1.5e-231
Cluster 4 5 461.5488 1 2.2e-102
Variances
Agreeableness | Group Group 1 2 0.4188 1 0.52
Conscientiousness | Group Group 1 2 7.8017 1 0.0052
Extroversion | Group Group 1 2 1.5603 1 0.21
Neuroticism | Group Group 1 2 0.0119 1 0.91
Openness | Group Group 1 2 1.4476 1 0.23

Profile

Cluster Group
1 2 3 4 5 1 2 Overall
Size 0.1486 0.2320 0.2631 0.0997 0.2566 0.4840 0.5160
Agreeableness
Mean 0.9142 2.1251 -0.9840 1.1585 -1.9629 -0.5271 0.4593 -0.0181
Conscientiousness
Mean 1.2442 -1.9207 0.9844 1.1110 1.9145 0.9103 0.3094 0.6002
Extroversion
Mean 1.1607 1.9885 -1.1112 -0.9428 -1.9870 -0.7649 0.2091 -0.2623
Neuroticism
Mean -0.9074 -2.0386 -1.0463 1.0409 1.9903 0.2065 -0.7146 -0.2688
Openness
Mean 1.1689 1.9827 1.0442 0.9536 -1.9359 0.0059 0.9768 0.5069

ProbMeans-Posterior

Cluster Group
1 2 3 4 5 1 2
Overall 0.1486 0.2320 0.2631 0.0997 0.2566 0.4840 0.5160
Dependent
Agreeableness
-5.503 - -1.858 0.0054 0.0000 0.2932 0.0018 0.6997 0.6700 0.3300
-1.856 - -0.740 0.0564 0.0000 0.4784 0.0109 0.4543 0.6150 0.3850
-0.731 - 0.650 0.2164 0.0835 0.4397 0.1372 0.1232 0.4450 0.5550
0.652 - 1.785 0.3255 0.3442 0.0968 0.2279 0.0055 0.3350 0.6650
1.806 - 4.638 0.1393 0.7324 0.0076 0.1207 0.0001 0.3550 0.6450
Conscientiousness
-4.337 - -1.085 0.0054 0.9532 0.0364 0.0049 0.0000 0.3500 0.6500
-1.029 - 0.517 0.1561 0.2017 0.3769 0.1255 0.1398 0.4850 0.5150
0.529 - 1.283 0.2422 0.0046 0.3886 0.1378 0.2268 0.4800 0.5200
1.284 - 2.051 0.1889 0.0002 0.3235 0.1513 0.3360 0.5150 0.4850
2.052 - 4.752 0.1503 0.0004 0.1903 0.0788 0.5802 0.5900 0.4100
Extroversion
-4.667 - -1.981 0.0010 0.0000 0.2464 0.0922 0.6605 0.6750 0.3250
-1.979 - -1.006 0.0073 0.0001 0.4546 0.1133 0.4248 0.5700 0.4300
-1.002 - 0.177 0.1248 0.0239 0.4766 0.2134 0.1613 0.5000 0.5000
0.181 - 1.624 0.3494 0.4036 0.1328 0.0779 0.0362 0.3050 0.6950
1.627 - 5.037 0.2606 0.7325 0.0053 0.0016 0.0000 0.3700 0.6300
Neuroticism
-4.406 - -1.927 0.0966 0.6817 0.2203 0.0014 0.0000 0.3850 0.6150
-1.920 - -1.087 0.2711 0.2753 0.4466 0.0064 0.0006 0.3600 0.6400
-1.085 - -0.0240 0.2381 0.1807 0.4875 0.0643 0.0294 0.4150 0.5850
-0.0140 - 1.598 0.1323 0.0224 0.1569 0.2740 0.4145 0.5750 0.4250
1.608 - 5.505 0.0049 0.0000 0.0044 0.1524 0.8384 0.6850 0.3150
Openness
-4.616 - -1.214 0.0032 0.0000 0.0139 0.0061 0.9769 0.7300 0.2700
-1.201 - 0.443 0.1545 0.0505 0.3538 0.1441 0.2970 0.5250 0.4750
0.445 - 1.211 0.2256 0.2300 0.3728 0.1658 0.0058 0.3750 0.6250
1.212 - 2.032 0.2229 0.3313 0.3448 0.0979 0.0031 0.3850 0.6150
2.035 - 5.055 0.1368 0.5483 0.2303 0.0846 0.0000 0.4050 0.5950
Independent
Sex
0 0.0757 0.1645 0.2686 0.0905 0.4006 1.0000 0.0000
1 0.2170 0.2954 0.2580 0.1083 0.1214 0.0000 1.0000

Bivariate Residuals

Dependent Agreeableness Conscientiousness Extroversion Neuroticism Openness
Agreeableness .
Conscientiousness 0.1037 .
Extroversion 0.5259 0.5665 .
Neuroticism 0.2039 0.1710 0.2956 .
Openness 0.2329 0.3173 2.9756 1.7232 .
Independent Agreeableness Conscientiousness Extroversion Neuroticism Openness
Sex 0.0179 0.3366 0.7620 0.3141 0.1330

EstimatedValues-Model

Group
1 2
0.4840 0.5160
Cluster
Group 1 2 3 4 5
1 0.0757 0.1645 0.2686 0.0905 0.4006
2 0.2170 0.2954 0.2580 0.1083 0.1214
Cluster
1 1 2 2 3 3 4 4 5 5
Group
1 2 1 2 1 2 1 2 1 2
0.0366 0.1120 0.0796 0.1524 0.1300 0.1331 0.0438 0.0559 0.1939 0.0626
Agreeableness
Cluster Group Mean
1 1 0.9142
1 2 0.9142
2 1 2.1251
2 2 2.1251
3 1 -0.9840
3 2 -0.9840
4 1 1.1585
4 2 1.1585
5 1 -1.9629
5 2 -1.9629
Conscientiousness
Cluster Group Mean
1 1 1.2442
1 2 1.2442
2 1 -1.9207
2 2 -1.9207
3 1 0.9844
3 2 0.9844
4 1 1.1110
4 2 1.1110
5 1 1.9145
5 2 1.9145
Extroversion
Cluster Group Mean
1 1 1.1607
1 2 1.1607
2 1 1.9885
2 2 1.9885
3 1 -1.1112
3 2 -1.1112
4 1 -0.9428
4 2 -0.9428
5 1 -1.9870
5 2 -1.9870
Neuroticism
Cluster Group Mean
1 1 -0.9074
1 2 -0.9074
2 1 -2.0386
2 2 -2.0386
3 1 -1.0463
3 2 -1.0463
4 1 1.0409
4 2 1.0409
5 1 1.9903
5 2 1.9903
Openness
Cluster Group Mean
1 1 1.1689
1 2 1.1689
2 1 1.9827
2 2 1.9827
3 1 1.0442
3 2 1.0442
4 1 0.9536
4 2 0.9536
5 1 -1.9359
5 2 -1.9359

[6B.3] Perfect Indicator with variances depending on Sex - LL = -9071.6926

Syntax (6) Model
Number of cases 1000
Number of parameters (Npar) 44
Activated Constraints 0
Random Seed 296962
Best Start Seed 62838
Log-likelihood Statistics
Log-likelihood (LL) -9071.6926
Log-prior 0.0000
Log-posterior -9071.6926
BIC (based on LL) 18447.3264
AIC (based on LL) 18231.3851
AIC3 (based on LL) 18275.3851
CAIC (based on LL) 18491.3264
SABIC (based on LL) 18307.5799
Classification Statistics Cluster Group
Classification errors 0.0723 0.0000
Reduction of errors (Lambda) 0.9018 1.0000
Entropy R-squared 0.8786 1.0000
Standard R-squared 0.8651 1.0000
Classification log-likelihood -9260.1322
Entropy 188.4396
CLC 18520.2643
AWE 19260.1468
ICL-BIC 18824.2055
Cluster Classification Table Modal
Latent 1 2 3 4 5 Total
1 82.3968 9.8789 6.3959 0.9819 0.0337 99.6873
2 7.8529 242.0120 9.8410 3.3572 0.0673 263.1303
3 6.8461 13.1538 122.6476 0.0202 5.9319 148.5996
4 0.8390 2.0600 0.0170 253.6407 0.0000 256.5567
5 0.0653 0.8953 4.0985 0.0000 226.9670 232.0261
Total 98.0000 268.0000 143.0000 258.0000 233.0000 1000.0000
Cluster Classification Table Proportional
Latent 1 2 3 4 5 Total
1 75.9483 12.8582 9.5382 1.2139 0.1287 99.6873
2 12.8582 229.2387 16.5887 3.7936 0.6511 263.1303
3 9.5382 16.5887 114.6931 0.0817 7.6979 148.5996
4 1.2139 3.7936 0.0817 251.4675 0.0000 256.5567
5 0.1287 0.6511 7.6979 0.0000 223.5483 232.0261
Total 99.6873 263.1303 148.5996 256.5567 232.0261 1000.0000
Group Classification Table Modal
Latent 1 2 Total
1 484.0000 0.0000 484.0000
2 0.0000 516.0000 516.0000
Total 484.0000 516.0000 1000.0000
Group Classification Table Proportional
Latent 1 2 Total
1 484.0000 0.0000 484.0000
2 0.0000 516.0000 516.0000
Total 484.0000 516.0000 1000.0000
Files
Infile C:\Users\glen\Dropbox\SI Dropbox\Consulting\Methodology_Center_PSU\Exercises-for-Glen\Exercise 7\Latent GOLD\Exercise 6 (LPA) Data for LG.csv
Options
threads 8
algorithm
tolerance 1e-008
emtolerance 0.01
emiterations 250
nriterations 50
algorithm NR
MstepNR no
startvalues
seed 0
sets 16
tolerance 1e-005
iterations 50
bayes
categorical 1
variances 0
latent 0
poisson 1
quadrature
nodes 10
missing excludeall
output
parameters effect
standard errors standard
bivariate residuals marginal
identification no
validation LL no
sample size BIC 1000
predictionstatistics no
Variable Detail
Latent
Cluster Nominal Case 5
Group Nominal Case 2
Dependent
Agreeableness Continuous
Conscientiousness Continuous
Extroversion Continuous
Neuroticism Continuous
Openness Continuous

Syntax

options

   maxthreads=8;

   algorithm 

      tolerance=1e-008 emtolerance=0.01 emiterations=250 nriterations=50 ;

   startvalues

      seed=0 sets=16 tolerance=1e-005 iterations=50;

   bayes

      categorical=1 variances=0 latent=0 poisson=1;

   montecarlo

      seed=0 sets=0 replicates=500 tolerance=1e-008;

   quadrature  nodes=10;

   missing  excludeall;

   output      

      parameters=effect  betaopts=wl standarderrors profile probmeans=posterior

      bivariateresiduals estimatedvalues=model;

variables

   dependent Agreeableness continuous, Conscientiousness continuous,

      Extroversion continuous, Neuroticism continuous, Openness continuous;

   latent

      Cluster nominal 5, Group nominal 2 knownclass=Sex(0: 1 0, 1: 0 1);

equations

   Group <- 1;

   Cluster <- 1 + Group;

   Agreeableness - Openness <- 1 + Cluster;

   Agreeableness - Openness | Group;

Parameters

Regression Parameters
term coef Wald(0) df p-value Wald(=) df p-value
Cluster(1) <- 1 -0.5675 53.7078 4 6.1e-11
Cluster(2) <- 1 0.4104
Cluster(3) <- 1 -0.3093
Cluster(4) <- 1 0.2334
Cluster(5) <- 1 0.2329
Cluster(1) <- Group(1) -0.0313 107.4512 4 2.5e-22
Cluster(1) <- Group(2) 0.0313
Cluster(2) <- Group(1) 0.0785
Cluster(2) <- Group(2) -0.0785
Cluster(3) <- Group(1) -0.4681
Cluster(3) <- Group(2) 0.4681
Cluster(4) <- Group(1) 0.6553
Cluster(4) <- Group(2) -0.6553
Cluster(5) <- Group(1) -0.2343
Cluster(5) <- Group(2) 0.2343
Group(1) <- 1 -0.0320 1.0237 1 0.31
Group(2) <- 1 0.0320
Agreeableness <- 1 0.2502 33.0283 1 9.1e-9
Agreeableness <- Cluster(1) 0.9083 2216.2163 4 6.3e-479
Agreeableness <- Cluster(2) -1.2342
Agreeableness <- Cluster(3) 0.6640
Agreeableness <- Cluster(4) -2.2131
Agreeableness <- Cluster(5) 1.8750
Conscientiousness <- 1 0.6667 317.6429 1 4.7e-71
Conscientiousness <- Cluster(1) 0.4444 1825.7487 4 3.2e-394
Conscientiousness <- Cluster(2) 0.3178
Conscientiousness <- Cluster(3) 0.5775
Conscientiousness <- Cluster(4) 1.2478
Conscientiousness <- Cluster(5) -2.5874
Extroversion <- 1 -0.1784 16.0480 1 6.2e-5
Extroversion <- Cluster(1) -0.7644 2354.9807 4 4.9e-509
Extroversion <- Cluster(2) -0.9329
Extroversion <- Cluster(3) 1.3391
Extroversion <- Cluster(4) -1.8086
Extroversion <- Cluster(5) 2.1668
Neuroticism <- 1 -0.1922 19.5657 1 9.7e-6
Neuroticism <- Cluster(1) 1.2331 2379.9003 4 1.9e-514
Neuroticism <- Cluster(2) -0.8541
Neuroticism <- Cluster(3) -0.7152
Neuroticism <- Cluster(4) 2.1825
Neuroticism <- Cluster(5) -1.8464
Openness <- 1 0.6427 338.2188 1 1.6e-75
Openness <- Cluster(1) 0.3109 2106.7292 4 3.6e-455
Openness <- Cluster(2) 0.4015
Openness <- Cluster(3) 0.5262
Openness <- Cluster(4) -2.5786
Openness <- Cluster(5) 1.3400
Variances
term coef Wald(0) df p-value Wald(=) df p-value
Agreeableness | Group(1) 1.0195 354.6019 2 1.0e-77 0.4188 1 0.52
Agreeableness | Group(2) 1.0895
Conscientiousness | Group(1) 1.1947 450.4473 2 1.5e-98 7.8017 1 0.0052
Conscientiousness | Group(2) 0.9148
Extroversion | Group(1) 1.0444 367.7712 2 1.4e-80 1.5603 1 0.21
Extroversion | Group(2) 0.9189
Neuroticism | Group(1) 0.9373 355.9987 2 5.0e-78 0.0119 1 0.91
Neuroticism | Group(2) 0.9268
Openness | Group(1) 1.0335 461.4582 2 6.2e-101 1.4476 1 0.23
Openness | Group(2) 0.9225

Paired Comparisons

Paired Comparisons
term comparison Wald df p-value
Cluster <- 1 Cluster 1 2 35.2864 1 2.8e-9
Cluster 1 3 1.6494 1 0.20
Cluster 1 4 26.7328 1 2.3e-7
Cluster 1 5 27.1576 1 1.9e-7
Cluster 2 3 21.1304 1 4.3e-6
Cluster 2 4 2.8971 1 0.089
Cluster 2 5 3.0320 1 0.082
Cluster 3 4 13.6013 1 0.00023
Cluster 3 5 13.2035 1 0.00028
Cluster 4 5 0.0000 1 1.00
Cluster <- Group Cluster 1 2 0.6148 1 0.43
Cluster 1 3 6.3768 1 0.012
Cluster 1 4 24.3899 1 7.9e-7
Cluster 1 5 2.2015 1 0.14
Cluster 2 3 15.4992 1 8.3e-5
Cluster 2 4 33.2133 1 8.3e-9
Cluster 2 5 10.3312 1 0.0013
Cluster 3 4 67.0568 1 2.6e-16
Cluster 3 5 2.8264 1 0.093
Cluster 4 5 76.2231 1 2.5e-18
Group 1 2 107.4512 4 2.5e-22
Group <- 1 Group 1 2 1.0237 1 0.31
Agreeableness <- Cluster Cluster 1 2 205.8386 1 1.1e-46
Cluster 1 3 1.8796 1 0.17
Cluster 1 4 443.5960 1 1.8e-98
Cluster 1 5 40.8912 1 1.6e-10
Cluster 2 3 207.3111 1 5.3e-47
Cluster 2 4 90.1982 1 2.2e-21
Cluster 2 5 855.9002 1 3.8e-188
Cluster 3 4 510.5143 1 4.9e-113
Cluster 3 5 86.5269 1 1.4e-20
Cluster 4 5 1860.8397 1 1.6e-406
Conscientiousness <- Cluster Cluster 1 2 0.7867 1 0.38
Cluster 1 3 0.6970 1 0.40
Cluster 1 4 34.7822 1 3.7e-9
Cluster 1 5 475.0946 1 2.5e-105
Cluster 2 3 4.3853 1 0.036
Cluster 2 4 94.3558 1 2.6e-22
Cluster 2 5 855.4461 1 4.8e-188
Cluster 3 4 31.9146 1 1.6e-8
Cluster 3 5 781.0713 1 7.0e-172
Cluster 4 5 1532.4760 1 3.4e-335
Extroversion <- Cluster Cluster 1 2 1.1836 1 0.28
Cluster 1 3 173.5178 1 1.3e-39
Cluster 1 4 50.1380 1 1.4e-12
Cluster 1 5 392.5761 1 2.3e-87
Cluster 2 3 340.0503 1 6.2e-76
Cluster 2 4 77.7351 1 1.2e-18
Cluster 2 5 979.2537 1 5.8e-215
Cluster 3 4 603.8094 1 2.5e-133
Cluster 3 5 41.0390 1 1.5e-10
Cluster 4 5 1886.5017 1 4.1e-412
Neuroticism <- Cluster Cluster 1 2 200.0139 1 2.1e-45
Cluster 1 3 140.9795 1 1.6e-32
Cluster 1 4 39.2373 1 3.8e-10
Cluster 1 5 408.5601 1 7.5e-91
Cluster 2 3 1.1548 1 0.28
Cluster 2 4 1059.3763 1 2.2e-232
Cluster 2 5 105.5331 1 9.3e-25
Cluster 3 4 574.5451 1 5.8e-127
Cluster 3 5 84.7205 1 3.4e-20
Cluster 4 5 1985.2589 1 1.4e-433
Openness <- Cluster Cluster 1 2 0.4106 1 0.52
Cluster 1 3 1.7827 1 0.18
Cluster 1 4 461.5488 1 2.2e-102
Cluster 1 5 57.7111 1 3.0e-14
Cluster 2 3 1.1128 1 0.29
Cluster 2 4 1055.6177 1 1.5e-231
Cluster 2 5 99.8295 1 1.7e-23
Cluster 3 4 742.3559 1 1.8e-163
Cluster 3 5 48.7864 1 2.9e-12
Cluster 4 5 1791.0816 1 2.2e-391
Variances
Agreeableness | Group Group 1 2 0.4188 1 0.52
Conscientiousness | Group Group 1 2 7.8017 1 0.0052
Extroversion | Group Group 1 2 1.5603 1 0.21
Neuroticism | Group Group 1 2 0.0119 1 0.91
Openness | Group Group 1 2 1.4476 1 0.23

Profile

Cluster Group
1 2 3 4 5 1 2 Overall
Size 0.0997 0.2631 0.1486 0.2566 0.2320 0.4840 0.5160
Agreeableness
Mean 1.1585 -0.9840 0.9142 -1.9629 2.1251 -0.5271 0.4593 -0.0181
Conscientiousness
Mean 1.1110 0.9844 1.2442 1.9145 -1.9207 0.9103 0.3094 0.6002
Extroversion
Mean -0.9428 -1.1112 1.1607 -1.9870 1.9885 -0.7649 0.2091 -0.2623
Neuroticism
Mean 1.0409 -1.0463 -0.9074 1.9903 -2.0386 0.2065 -0.7146 -0.2688
Openness
Mean 0.9536 1.0442 1.1689 -1.9359 1.9827 0.0059 0.9768 0.5069

ProbMeans-Posterior

Cluster Group
1 2 3 4 5 1 2
Overall 0.0997 0.2631 0.1486 0.2566 0.2320 0.4840 0.5160
Dependent
Agreeableness
-5.503 - -1.858 0.0018 0.2932 0.0054 0.6997 0.0000 0.6700 0.3300
-1.856 - -0.740 0.0109 0.4784 0.0564 0.4543 0.0000 0.6150 0.3850
-0.731 - 0.650 0.1372 0.4397 0.2164 0.1232 0.0835 0.4450 0.5550
0.652 - 1.785 0.2279 0.0968 0.3255 0.0055 0.3442 0.3350 0.6650
1.806 - 4.638 0.1207 0.0076 0.1393 0.0001 0.7324 0.3550 0.6450
Conscientiousness
-4.337 - -1.085 0.0049 0.0364 0.0054 0.0000 0.9532 0.3500 0.6500
-1.029 - 0.517 0.1255 0.3769 0.1561 0.1398 0.2017 0.4850 0.5150
0.529 - 1.283 0.1378 0.3886 0.2422 0.2268 0.0046 0.4800 0.5200
1.284 - 2.051 0.1513 0.3235 0.1889 0.3360 0.0002 0.5150 0.4850
2.052 - 4.752 0.0788 0.1903 0.1503 0.5802 0.0004 0.5900 0.4100
Extroversion
-4.667 - -1.981 0.0922 0.2464 0.0010 0.6605 0.0000 0.6750 0.3250
-1.979 - -1.006 0.1133 0.4546 0.0073 0.4248 0.0001 0.5700 0.4300
-1.002 - 0.177 0.2134 0.4766 0.1248 0.1613 0.0239 0.5000 0.5000
0.181 - 1.624 0.0779 0.1328 0.3494 0.0362 0.4036 0.3050 0.6950
1.627 - 5.037 0.0016 0.0053 0.2606 0.0000 0.7325 0.3700 0.6300
Neuroticism
-4.406 - -1.927 0.0014 0.2203 0.0966 0.0000 0.6817 0.3850 0.6150
-1.920 - -1.087 0.0064 0.4466 0.2711 0.0006 0.2753 0.3600 0.6400
-1.085 - -0.0240 0.0643 0.4875 0.2381 0.0294 0.1807 0.4150 0.5850
-0.0140 - 1.598 0.2740 0.1569 0.1323 0.4145 0.0224 0.5750 0.4250
1.608 - 5.505 0.1524 0.0044 0.0049 0.8384 0.0000 0.6850 0.3150
Openness
-4.616 - -1.214 0.0061 0.0139 0.0032 0.9769 0.0000 0.7300 0.2700
-1.201 - 0.443 0.1441 0.3538 0.1545 0.2970 0.0505 0.5250 0.4750
0.445 - 1.211 0.1658 0.3728 0.2256 0.0058 0.2300 0.3750 0.6250
1.212 - 2.032 0.0979 0.3448 0.2229 0.0031 0.3313 0.3850 0.6150
2.035 - 5.055 0.0846 0.2303 0.1368 0.0000 0.5483 0.4050 0.5950
Independent
Sex
0 0.0905 0.2686 0.0757 0.4006 0.1645 1.0000 0.0000
1 0.1083 0.2580 0.2170 0.1214 0.2954 0.0000 1.0000

Bivariate Residuals

Dependent Agreeableness Conscientiousness Extroversion Neuroticism Openness
Agreeableness .
Conscientiousness 0.1037 .
Extroversion 0.5259 0.5665 .
Neuroticism 0.2039 0.1710 0.2956 .
Openness 0.2329 0.3173 2.9756 1.7232 .
Independent Agreeableness Conscientiousness Extroversion Neuroticism Openness
Sex 0.0179 0.3366 0.7620 0.3141 0.1330

EstimatedValues-Model

Group
1 2
0.4840 0.5160
Cluster
Group 1 2 3 4 5
1 0.0905 0.2686 0.0757 0.4006 0.1645
2 0.1083 0.2580 0.2170 0.1214 0.2954
Cluster
1 1 2 2 3 3 4 4 5 5
Group
1 2 1 2 1 2 1 2 1 2
0.0438 0.0559 0.1300 0.1331 0.0366 0.1120 0.1939 0.0626 0.0796 0.1524
Agreeableness
Cluster Group Mean
1 1 1.1585
1 2 1.1585
2 1 -0.9840
2 2 -0.9840
3 1 0.9142
3 2 0.9142
4 1 -1.9629
4 2 -1.9629
5 1 2.1251
5 2 2.1251
Conscientiousness
Cluster Group Mean
1 1 1.1110
1 2 1.1110
2 1 0.9844
2 2 0.9844
3 1 1.2442
3 2 1.2442
4 1 1.9145
4 2 1.9145
5 1 -1.9207
5 2 -1.9207
Extroversion
Cluster Group Mean
1 1 -0.9428
1 2 -0.9428
2 1 -1.1112
2 2 -1.1112
3 1 1.1607
3 2 1.1607
4 1 -1.9870
4 2 -1.9870
5 1 1.9885
5 2 1.9885
Neuroticism
Cluster Group Mean
1 1 1.0409
1 2 1.0409
2 1 -1.0463
2 2 -1.0463
3 1 -0.9074
3 2 -0.9074
4 1 1.9903
4 2 1.9903
5 1 -2.0386
5 2 -2.0386
Openness
Cluster Group Mean
1 1 0.9536
1 2 0.9536
2 1 1.0442
2 2 1.0442
3 1 1.1689
3 2 1.1689
4 1 -1.9359
4 2 -1.9359
5 1 1.9827
5 2 1.9827

Syntax

options

   maxthreads=8;

   algorithm 

      tolerance=1e-008 emtolerance=0.01 emiterations=250 nriterations=50 ;

   startvalues

      seed=0 sets=16 tolerance=1e-005 iterations=50;

   bayes

      categorical=1 variances=0 latent=0 poisson=1;

   montecarlo

      seed=0 sets=0 replicates=500 tolerance=1e-008;

   quadrature  nodes=10;

   missing  excludeall;

   output      

      parameters=effect  betaopts=wl standarderrors profile probmeans=posterior

      bivariateresiduals estimatedvalues=model;

variables

   dependent Agreeableness continuous, Conscientiousness continuous,

      Extroversion continuous, Neuroticism continuous, Openness continuous;

   latent

      Cluster nominal 5, Group nominal 2 knownclass=Sex(0: 1 0, 1: 0 1);

equations

   Group <- 1;

   Cluster <- 1 + Group;

   Agreeableness - Openness <- 1 + Cluster;

   Agreeableness - Openness | Group;