Mplus VERSION 8.6
MUTHEN & MUTHEN
07/20/2021 5:59 PM
OUTPUT SECTIONS
INPUT INSTRUCTIONS
TITLE: 7.2 LGM Modèle linéaire (Notation simplifiée)
DATA:
FILE = Cortisol.dat ;
LISTWISE = ON ;
VARIABLE:
NAMES =
SID C1 C2 C3 C4
SEXE TTT CREVEIL
T1 T2 T3 T4
TC1 TC2 TC3 TC4
FCT ;
USEVARIABLES = C1 C2 C3 C4 ;
ANALYSIS:
ESTIMATOR = MLR ;
MODEL:
i s | C1@0 C2@1 C3@2 C4@3 ;
INPUT READING TERMINATED NORMALLY
7.2 LGM Modèle linéaire (Notation simplifiée)
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 101
Number of dependent variables 4
Number of independent variables 0
Number of continuous latent variables 2
Observed dependent variables
Continuous
C1 C2 C3 C4
Continuous latent variables
I S
Estimator MLR
Information matrix OBSERVED
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
Input data file(s)
Cortisol.dat
Input data format FREE
UNIVARIATE SAMPLE STATISTICS
UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS
Variable/ Mean/ Skewness/ Minimum/ % with Percentiles
Sample Size Variance Kurtosis Maximum Min/Max 20%/60% 40%/80% Median
C1 10.412 1.383 1.205 0.99% 4.540 7.500 9.168
101.000 45.592 2.806 36.490 0.99% 10.490 15.275
C2 10.189 1.502 1.380 0.99% 5.190 6.885 8.637
101.000 36.375 2.786 33.265 0.99% 10.520 14.420
C3 6.393 2.088 1.825 0.99% 3.225 4.150 4.635
101.000 22.701 4.553 27.110 0.99% 5.155 8.620
C4 3.706 2.704 1.370 0.99% 2.170 2.880 3.123
101.000 5.026 9.698 15.955 0.99% 3.335 4.630
THIS ANALYSIS MAY HAVE MULTIPLE SOLUTIONS. EXPLORE THIS USING RANDOM STARTS,
FOR EXAMPLE, STARTS = 20. USE A LARGE ENOUGH NUMBER OF STARTS SO THAT THE
BEST FIT FUNCTION VALUE IS REPLICATED SEVERAL TIMES.
THE MODEL ESTIMATION TERMINATED NORMALLY
WARNING: THE RESIDUAL COVARIANCE MATRIX (THETA) IS NOT POSITIVE DEFINITE.
THIS COULD INDICATE A NEGATIVE VARIANCE/RESIDUAL VARIANCE FOR AN OBSERVED
VARIABLE, A CORRELATION GREATER OR EQUAL TO ONE BETWEEN TWO OBSERVED
VARIABLES, OR A LINEAR DEPENDENCY AMONG MORE THAN TWO OBSERVED VARIABLES.
CHECK THE RESULTS SECTION FOR MORE INFORMATION.
PROBLEM INVOLVING VARIABLE C4.
MODEL FIT INFORMATION
Number of Free Parameters 9
Loglikelihood
H0 Value -1172.392
H0 Scaling Correction Factor 2.1973
for MLR
H1 Value -1161.416
H1 Scaling Correction Factor 1.7889
for MLR
Information Criteria
Akaike (AIC) 2362.783
Bayesian (BIC) 2386.319
Sample-Size Adjusted BIC 2357.893
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit
Value 20.828*
Degrees of Freedom 5
P-Value 0.0009
Scaling Correction Factor 1.0539
for MLR
* The chi-square value for MLM, MLMV, MLR, ULSMV, WLSM and WLSMV cannot be used
for chi-square difference testing in the regular way. MLM, MLR and WLSM
chi-square difference testing is described on the Mplus website. MLMV, WLSMV,
and ULSMV difference testing is done using the DIFFTEST option.
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.177
90 Percent C.I. 0.103 0.259
Probability RMSEA <= .05 0.004
CFI/TLI
CFI 0.571
TLI 0.485
Chi-Square Test of Model Fit for the Baseline Model
Value 42.868
Degrees of Freedom 6
P-Value 0.0000
SRMR (Standardized Root Mean Square Residual)
Value 0.105
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
I |
C1 1.000 0.000 999.000 999.000
C2 1.000 0.000 999.000 999.000
C3 1.000 0.000 999.000 999.000
C4 1.000 0.000 999.000 999.000
S |
C1 0.000 0.000 999.000 999.000
C2 1.000 0.000 999.000 999.000
C3 2.000 0.000 999.000 999.000
C4 3.000 0.000 999.000 999.000
S WITH
I -9.029 3.039 -2.971 0.003
Means
I 11.286 0.662 17.047 0.000
S -2.533 0.239 -10.585 0.000
Intercepts
C1 0.000 0.000 999.000 999.000
C2 0.000 0.000 999.000 999.000
C3 0.000 0.000 999.000 999.000
C4 0.000 0.000 999.000 999.000
Variances
I 25.574 9.128 2.802 0.005
S 3.811 1.081 3.527 0.000
Residual Variances
C1 20.622 7.341 2.809 0.005
C2 24.159 6.530 3.699 0.000
C3 20.475 5.931 3.452 0.001
C4 -0.685 1.622 -0.422 0.673
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.161E-03
(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
c:\project\mpluslivre\stx\chapitres\chapitre_07\script7.2.dgm
Beginning Time: 17:59:48
Ending Time: 17:59:48
Elapsed Time: 00:00:00
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