Mplus VERSION 8.10
MUTHEN & MUTHEN
08/31/2023 3:50 PM
OUTPUT SECTIONS
INPUT INSTRUCTIONS
TITLE: 009_Multigroup_LGCM_M1_Invariance_model
DATA:
FILE IS data.dat;
LISTWISE = ON;
VARIABLE:
NAMES ARE
id female pdu1 ace1 worry1
lone1 lone2 lone3 lone4 lone5
anx1 anx2 anx3 anx4 anx5
dep1 dep2 dep3 dep4 dep5
host1 host2 host3 host4 host5
percon5 percon5b subs5 subs5b sleep5 sleep5b;
USEVARIABLES ARE
lone1 lone2 lone3 lone4 lone5;
GROUPING = FEMALE (0 = MALES 1 = FEMALES);
MISSING ARE ALL (-999);
ANALYSIS:
ESTIMATOR = ML;
MODEL:
I S|lone1@0 lone2@1 lone3@3 lone4@4 lone5@6;
!Estimate means of growth factors and label them
[I](INT);
[S](SLP);
!Estimate variances of growth factors
I(INT_V);
S(SLP_V);
!Estimate covariance of growth factors
I WITH S(IS_COV);
!Estimate residual variance and constrain them equal
lone1-lone5(RES);
!Sequentially testing models means specific parameters are of interest
!For those parameters, we will begin by constraining them to be equal (identical) across b
!Those parameters are (MEANS OF GROWTH FACTORS, COVARIANCES AND RESIDUAL VARIANCES)
!In subsequent models, we will freely estimate those parameters
MODEL MALES:
!Growth factor means for males
[I](INT);!The INT label will make the males' intercept growth factor identical to the
[S](SLP);!The labelling for all the parameters will make them idenitcal for males and
!Growth factor variances for males
I(INT_V);
S(SLP_V);
!Growth factor covariance for males
I WITH S(IS_COV);
!Residual variances for males
lone1-lone5(RES);
MODEL FEMALES:
!Gorwth factor means for females
[I](INT);!The INT label will make the females' intercept growth factor identical to th
[S](SLP);
!Growth factor variances for females
I(INT_V);
S(SLP_V);
!Growth factor covariance for females
I WITH S(IS_COV);
!Residual variances for females
lone1-lone5(RES);
OUTPUT:
SAMPSTAT;
*** WARNING
Input line exceeded 90 characters. Some input may be truncated.
!For those parameters, we will begin by constraining them to be equal (identical) across bo
*** WARNING
Input line exceeded 90 characters. Some input may be truncated.
[I](INT);!The INT label will make the males' intercept growth factor identical to the f
*** WARNING
Input line exceeded 90 characters. Some input may be truncated.
[S](SLP);!The labelling for all the parameters will make them idenitcal for males and f
*** WARNING
Input line exceeded 90 characters. Some input may be truncated.
[I](INT);!The INT label will make the females' intercept growth factor identical to the
4 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS
009_Multigroup_LGCM_M1_Invariance_model
SUMMARY OF ANALYSIS
Number of groups 2
Number of observations
Group MALES 178
Group FEMALES 142
Total sample size 320
Number of dependent variables 5
Number of independent variables 0
Number of continuous latent variables 2
Observed dependent variables
Continuous
LONE1 LONE2 LONE3 LONE4 LONE5
Continuous latent variables
I S
Variables with special functions
Grouping variable FEMALE
Estimator ML
Information matrix OBSERVED
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
Input data file(s)
data.dat
Input data format FREE
SAMPLE STATISTICS
SAMPLE STATISTICS FOR MALES
Means
LONE1 LONE2 LONE3 LONE4 LONE5
________ ________ ________ ________ ________
1.488 1.549 1.584 1.356 1.348
Covariances
LONE1 LONE2 LONE3 LONE4 LONE5
________ ________ ________ ________ ________
LONE1 0.206
LONE2 0.157 0.313
LONE3 0.115 0.153 0.262
LONE4 0.064 0.114 0.121 0.189
LONE5 0.051 0.070 0.071 0.056 0.129
Correlations
LONE1 LONE2 LONE3 LONE4 LONE5
________ ________ ________ ________ ________
LONE1 1.000
LONE2 0.619 1.000
LONE3 0.494 0.532 1.000
LONE4 0.321 0.466 0.542 1.000
LONE5 0.314 0.348 0.388 0.355 1.000
SAMPLE STATISTICS FOR FEMALES
Means
LONE1 LONE2 LONE3 LONE4 LONE5
________ ________ ________ ________ ________
1.390 1.340 1.451 1.291 1.253
Covariances
LONE1 LONE2 LONE3 LONE4 LONE5
________ ________ ________ ________ ________
LONE1 0.146
LONE2 0.088 0.155
LONE3 0.070 0.098 0.250
LONE4 0.051 0.042 0.075 0.132
LONE5 0.022 0.049 0.073 0.050 0.103
Correlations
LONE1 LONE2 LONE3 LONE4 LONE5
________ ________ ________ ________ ________
LONE1 1.000
LONE2 0.583 1.000
LONE3 0.368 0.499 1.000
LONE4 0.364 0.295 0.414 1.000
LONE5 0.179 0.384 0.457 0.428 1.000
UNIVARIATE SAMPLE STATISTICS
UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS FOR MALES
Variable/ Mean/ Skewness/ Minimum/ % with Percentiles
Sample Size Variance Kurtosis Maximum Min/Max 20%/60% 40%/80% Median
LONE1 1.488 1.552 1.000 5.62% 1.117 1.267 1.372
178.000 0.206 2.555 3.367 0.56% 1.493 1.733
LONE2 1.549 2.440 1.000 3.37% 1.150 1.283 1.372
178.000 0.313 8.837 5.000 0.56% 1.463 1.773
LONE3 1.584 1.631 1.000 6.74% 1.207 1.317 1.435
178.000 0.262 3.100 3.783 0.56% 1.540 1.890
LONE4 1.356 2.676 1.000 9.55% 1.060 1.173 1.232
178.000 0.189 8.620 3.543 0.56% 1.283 1.493
LONE5 1.348 2.326 1.000 10.11% 1.067 1.197 1.250
178.000 0.129 7.810 3.427 0.56% 1.307 1.510
UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS FOR FEMALES
Variable/ Mean/ Skewness/ Minimum/ % with Percentiles
Sample Size Variance Kurtosis Maximum Min/Max 20%/60% 40%/80% Median
LONE1 1.390 1.616 1.000 9.15% 1.083 1.203 1.260
142.000 0.146 3.022 2.950 0.70% 1.367 1.653
LONE2 1.340 2.242 1.000 14.08% 1.057 1.167 1.215
142.000 0.155 6.151 3.210 0.70% 1.287 1.507
LONE3 1.451 1.439 1.000 11.97% 1.060 1.180 1.243
142.000 0.250 1.296 3.053 0.70% 1.340 1.833
LONE4 1.291 2.761 1.000 22.54% 1.000 1.117 1.198
142.000 0.132 10.257 3.207 0.70% 1.260 1.457
LONE5 1.253 2.432 1.000 17.61% 1.027 1.117 1.158
142.000 0.103 6.677 2.673 0.70% 1.207 1.370
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 6
Loglikelihood
H0 Value -776.723
H1 Value -672.984
Information Criteria
Akaike (AIC) 1565.445
Bayesian (BIC) 1588.055
Sample-Size Adjusted BIC 1569.024
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit
Value 207.477
Degrees of Freedom 34
P-Value 0.0000
Chi-Square Contribution From Each Group
MALES 98.099
FEMALES 109.378
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.179
90 Percent C.I. 0.156 0.202
Probability RMSEA <= .05 0.000
CFI/TLI
CFI 0.609
TLI 0.770
Chi-Square Test of Model Fit for the Baseline Model
Value 463.335
Degrees of Freedom 20
P-Value 0.0000
SRMR (Standardized Root Mean Square Residual)
Value 0.267
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Group MALES
I |
LONE1 1.000 0.000 999.000 999.000
LONE2 1.000 0.000 999.000 999.000
LONE3 1.000 0.000 999.000 999.000
LONE4 1.000 0.000 999.000 999.000
LONE5 1.000 0.000 999.000 999.000
S |
LONE1 0.000 0.000 999.000 999.000
LONE2 1.000 0.000 999.000 999.000
LONE3 3.000 0.000 999.000 999.000
LONE4 4.000 0.000 999.000 999.000
LONE5 6.000 0.000 999.000 999.000
I WITH
S -0.011 0.002 -4.425 0.000
Means
I 1.484 0.025 60.198 0.000
S -0.026 0.004 -5.932 0.000
Intercepts
LONE1 0.000 0.000 999.000 999.000
LONE2 0.000 0.000 999.000 999.000
LONE3 0.000 0.000 999.000 999.000
LONE4 0.000 0.000 999.000 999.000
LONE5 0.000 0.000 999.000 999.000
Variances
I 0.135 0.016 8.666 0.000
S 0.001 0.001 2.467 0.014
Residual Variances
LONE1 0.109 0.005 21.909 0.000
LONE2 0.109 0.005 21.909 0.000
LONE3 0.109 0.005 21.909 0.000
LONE4 0.109 0.005 21.909 0.000
LONE5 0.109 0.005 21.909 0.000
Group FEMALES
I |
LONE1 1.000 0.000 999.000 999.000
LONE2 1.000 0.000 999.000 999.000
LONE3 1.000 0.000 999.000 999.000
LONE4 1.000 0.000 999.000 999.000
LONE5 1.000 0.000 999.000 999.000
S |
LONE1 0.000 0.000 999.000 999.000
LONE2 1.000 0.000 999.000 999.000
LONE3 3.000 0.000 999.000 999.000
LONE4 4.000 0.000 999.000 999.000
LONE5 6.000 0.000 999.000 999.000
I WITH
S -0.011 0.002 -4.425 0.000
Means
I 1.484 0.025 60.198 0.000
S -0.026 0.004 -5.932 0.000
Intercepts
LONE1 0.000 0.000 999.000 999.000
LONE2 0.000 0.000 999.000 999.000
LONE3 0.000 0.000 999.000 999.000
LONE4 0.000 0.000 999.000 999.000
LONE5 0.000 0.000 999.000 999.000
Variances
I 0.135 0.016 8.666 0.000
S 0.001 0.001 2.467 0.014
Residual Variances
LONE1 0.109 0.005 21.909 0.000
LONE2 0.109 0.005 21.909 0.000
LONE3 0.109 0.005 21.909 0.000
LONE4 0.109 0.005 21.909 0.000
LONE5 0.109 0.005 21.909 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.909E-04
(ratio of smallest to largest eigenvalue)
DIAGRAM INFORMATION
Use View Diagram under the Diagram menu in the Mplus Editor to view the diagram.
If running Mplus from the Mplus Diagrammer, the diagram opens automatically.
Diagram output
m:\quant_resources\0000 workshops\000_nov_ntnu\001_lgcm_and_its_extensions\009_multigroup_lgcm_m1_invariance_model.d
Beginning Time: 15:50:50
Ending Time: 15:50:52
Elapsed Time: 00:00:02
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