Mplus VERSION 8.6
MUTHEN & MUTHEN
07/20/2021 6:29 PM
OUTPUT SECTIONS
INPUT INSTRUCTIONS
TITLE: 7.15 M6. Modèle piecewise non équidistant avec outcome
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
FCT ;
ANALYSIS:
ESTIMATOR = MLR ;
STARTS = 20 ;
MODEL:
i s1 | C1@0 C2@1 C3@4 C4@4 ;
i s2 | C1@0 C2@0 C3@0 C4@9 ;
FCT ON i s1 s2 ;
C4@0 ; !fixer la variance résiduelle à zéro
OUTPUT:
SAMPSTAT STDYX TECH1 TECH4 ;
PLOT:
TYPE = PLOT3 ;
SERIES = C1 (0) C2 (1) C3 (4) C4 (9) ;
INPUT READING TERMINATED NORMALLY
7.15 M6. Modèle piecewise non équidistant avec outcome
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 101
Number of dependent variables 5
Number of independent variables 0
Number of continuous latent variables 3
Observed dependent variables
Continuous
C1 C2 C3 C4 FCT
Continuous latent variables
I S1 S2
Estimator MLR
Information matrix OBSERVED
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
Random Starts Specifications
Number of random starts 20
Random starts scale 0.500D+01
Input data file(s)
Cortisol.dat
Input data format FREE
SAMPLE STATISTICS
SAMPLE STATISTICS
Means
C1 C2 C3 C4 FCT
________ ________ ________ ________ ________
10.412 10.189 6.393 3.706 48.079
Covariances
C1 C2 C3 C4 FCT
________ ________ ________ ________ ________
C1 45.592
C2 22.137 36.375
C3 0.437 3.455 22.701
C4 -1.599 0.641 3.507 5.026
FCT -2.912 -3.161 -9.657 -1.947 120.726
Correlations
C1 C2 C3 C4 FCT
________ ________ ________ ________ ________
C1 1.000
C2 0.544 1.000
C3 0.014 0.120 1.000
C4 -0.106 0.047 0.328 1.000
FCT -0.039 -0.048 -0.184 -0.079 1.000
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
FCT 48.079 0.296 28.000 0.99% 40.000 42.000 48.000
101.000 120.726 -0.645 78.000 0.99% 50.000 60.000
RANDOM STARTS RESULTS RANKED FROM THE BEST TO THE WORST FIT FUNCTION VALUES
Fit function values at local maxima and random start numbers:
2.8819 13
2.8819 unperturbed
2.8819 7
2.8819 10
2.8819 5
2.8819 18
2.8819 20
2.8819 9
2.8819 2
2.8819 8
2.8819 4
2.8819 6
2.8819 16
2.8819 15
2.8819 17
2.8819 12
2.8819 1
2.8819 3
2.8819 11
2.8819 14
2.8819 19
MODEL FIT INFORMATION
Number of Free Parameters 17
Loglikelihood
H0 Value -1546.393
H0 Scaling Correction Factor 1.6355
for MLR
H1 Value -1544.952
H1 Scaling Correction Factor 1.5562
for MLR
Information Criteria
Akaike (AIC) 3126.786
Bayesian (BIC) 3171.243
Sample-Size Adjusted BIC 3117.549
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit
Value 2.605*
Degrees of Freedom 3
P-Value 0.4566
Scaling Correction Factor 1.1063
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 0.000
90 Percent C.I. 0.000 0.159
Probability RMSEA <= .05 0.562
CFI/TLI
CFI 1.000
TLI 1.000
Chi-Square Test of Model Fit for the Baseline Model
Value 47.374
Degrees of Freedom 10
P-Value 0.0000
SRMR (Standardized Root Mean Square Residual)
Value 0.028
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
S1 |
C1 0.000 0.000 999.000 999.000
C2 1.000 0.000 999.000 999.000
C3 4.000 0.000 999.000 999.000
C4 4.000 0.000 999.000 999.000
S2 |
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 9.000 0.000 999.000 999.000
FCT ON
I -0.738 0.650 -1.136 0.256
S1 -2.794 2.511 -1.113 0.266
S2 3.364 6.805 0.494 0.621
S1 WITH
I -7.151 2.767 -2.584 0.010
S2 WITH
I -0.208 0.302 -0.688 0.492
S1 -0.128 0.245 -0.523 0.601
Means
I 10.736 0.634 16.929 0.000
S1 -1.064 0.207 -5.146 0.000
S2 -0.308 0.052 -5.902 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
FCT 54.062 4.891 11.054 0.000
Variances
I 29.274 10.254 2.855 0.004
S1 2.377 0.951 2.499 0.012
S2 0.098 0.096 1.016 0.310
Residual Variances
C1 16.198 6.150 2.634 0.008
C2 19.375 5.572 3.477 0.001
C3 12.738 7.491 1.701 0.089
C4 0.000 0.000 999.000 999.000
FCT 111.176 16.202 6.862 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.734E-06
(ratio of smallest to largest eigenvalue)
STANDARDIZED MODEL RESULTS
STDYX Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
I |
C1 0.802 0.086 9.312 0.000
C2 0.893 0.107 8.331 0.000
C3 1.132 0.244 4.641 0.000
C4 2.413 0.599 4.027 0.000
S1 |
C1 0.000 0.000 999.000 999.000
C2 0.254 0.046 5.520 0.000
C3 1.291 0.267 4.835 0.000
C4 2.750 0.691 3.979 0.000
S2 |
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 1.253 0.682 1.838 0.066
FCT ON
I -0.363 0.334 -1.088 0.277
S1 -0.392 0.341 -1.150 0.250
S2 0.096 0.169 0.566 0.572
S1 WITH
I -0.857 0.092 -9.325 0.000
S2 WITH
I -0.123 0.210 -0.586 0.558
S1 -0.266 0.354 -0.753 0.452
Means
I 1.984 0.302 6.565 0.000
S1 -0.690 0.164 -4.205 0.000
S2 -0.987 0.501 -1.970 0.049
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
FCT 4.920 0.442 11.135 0.000
Variances
I 1.000 0.000 999.000 999.000
S1 1.000 0.000 999.000 999.000
S2 1.000 0.000 999.000 999.000
Residual Variances
C1 0.356 0.138 2.576 0.010
C2 0.528 0.106 4.980 0.000
C3 0.558 0.300 1.862 0.063
C4 0.000 999.000 999.000 999.000
FCT 0.921 0.088 10.436 0.000
R-SQUARE
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
C1 0.644 0.138 4.656 0.000
C2 0.472 0.106 4.459 0.000
C3 0.442 0.300 1.476 0.140
C4 1.000 999.000 999.000 999.000
FCT 0.079 0.088 0.896 0.370
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
NU
C1 C2 C3 C4 FCT
________ ________ ________ ________ ________
0 0 0 0 0
LAMBDA
I S1 S2 FCT
________ ________ ________ ________
C1 0 0 0 0
C2 0 0 0 0
C3 0 0 0 0
C4 0 0 0 0
FCT 0 0 0 0
THETA
C1 C2 C3 C4 FCT
________ ________ ________ ________ ________
C1 1
C2 0 2
C3 0 0 3
C4 0 0 0 0
FCT 0 0 0 0 0
ALPHA
I S1 S2 FCT
________ ________ ________ ________
4 5 6 7
BETA
I S1 S2 FCT
________ ________ ________ ________
I 0 0 0 0
S1 0 0 0 0
S2 0 0 0 0
FCT 8 9 10 0
PSI
I S1 S2 FCT
________ ________ ________ ________
I 11
S1 12 13
S2 14 15 16
FCT 0 0 0 17
STARTING VALUES
NU
C1 C2 C3 C4 FCT
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
LAMBDA
I S1 S2 FCT
________ ________ ________ ________
C1 1.000 0.000 0.000 0.000
C2 1.000 1.000 0.000 0.000
C3 1.000 4.000 0.000 0.000
C4 1.000 4.000 9.000 0.000
FCT 0.000 0.000 0.000 1.000
THETA
C1 C2 C3 C4 FCT
________ ________ ________ ________ ________
C1 22.796
C2 0.000 18.188
C3 0.000 0.000 11.350
C4 0.000 0.000 0.000 0.000
FCT 0.000 0.000 0.000 0.000 0.000
ALPHA
I S1 S2 FCT
________ ________ ________ ________
10.938 -1.450 7.675 48.079
BETA
I S1 S2 FCT
________ ________ ________ ________
I 0.000 0.000 0.000 0.000
S1 0.000 0.000 0.000 0.000
S2 0.000 0.000 0.000 0.000
FCT 0.000 0.000 0.000 0.000
PSI
I S1 S2 FCT
________ ________ ________ ________
I 40.607
S1 0.000 3.136
S2 0.000 0.000 10.428
FCT 0.000 0.000 0.000 60.363
TECHNICAL 4 OUTPUT
ESTIMATES DERIVED FROM THE MODEL
ESTIMATED MEANS FOR THE LATENT VARIABLES
I S1 S2 FCT
________ ________ ________ ________
10.736 -1.064 -0.308 48.079
S.E. FOR ESTIMATED MEANS FOR THE LATENT VARIABLES
I S1 S2 FCT
________ ________ ________ ________
0.634 0.207 0.052 1.093
EST./S.E. FOR ESTIMATED MEANS FOR THE LATENT VARIABLES
I S1 S2 FCT
________ ________ ________ ________
16.929 -5.146 -5.902 43.976
TWO-TAILED P-VALUE FOR ESTIMATED MEANS FOR THE LATENT VARIABLES
I S1 S2 FCT
________ ________ ________ ________
0.000 0.000 0.000 0.000
ESTIMATED COVARIANCE MATRIX FOR THE LATENT VARIABLES
I S1 S2 FCT
________ ________ ________ ________
I 29.274
S1 -7.151 2.377
S2 -0.208 -0.128 0.098
FCT -2.316 -1.796 0.839 120.727
S.E. FOR ESTIMATED COVARIANCE MATRIX FOR THE LATENT VARIABLES
I S1 S2 FCT
________ ________ ________ ________
I 10.254
S1 2.767 0.951
S2 0.302 0.245 0.096
FCT 8.375 2.735 0.597 13.984
EST./S.E. FOR ESTIMATED COVARIANCE MATRIX FOR THE LATENT VARIABLES
I S1 S2 FCT
________ ________ ________ ________
I 2.855
S1 -2.584 2.499
S2 -0.688 -0.523 1.016
FCT -0.276 -0.657 1.405 8.633
TWO-TAILED P-VALUE FOR ESTIMATED COVARIANCE MATRIX FOR THE LATENT VARIABLES
I S1 S2 FCT
________ ________ ________ ________
I 0.004
S1 0.010 0.012
S2 0.492 0.601 0.310
FCT 0.782 0.511 0.160 0.000
ESTIMATED CORRELATION MATRIX FOR THE LATENT VARIABLES
I S1 S2 FCT
________ ________ ________ ________
I 1.000
S1 -0.857 1.000
S2 -0.123 -0.266 1.000
FCT -0.039 -0.106 0.245 1.000
S.E. FOR ESTIMATED CORRELATION MATRIX FOR THE LATENT VARIABLES
I S1 S2 FCT
________ ________ ________ ________
I 0.000
S1 0.092 0.000
S2 0.210 0.354 0.000
FCT 0.139 0.161 0.143 0.000
EST./S.E. FOR ESTIMATED CORRELATION MATRIX FOR THE LATENT VARIABLES
I S1 S2 FCT
________ ________ ________ ________
I 999.000
S1 -9.325 999.000
S2 -0.586 -0.753 999.000
FCT -0.280 -0.658 1.714 999.000
TWO-TAILED P-VALUE FOR ESTIMATED CORRELATION MATRIX FOR THE LATENT VARIABLES
I S1 S2 FCT
________ ________ ________ ________
I 0.000
S1 0.000 0.000
S2 0.558 0.452 0.000
FCT 0.779 0.511 0.087 0.000
SAMPLE STATISTICS FOR ESTIMATED FACTOR SCORES
SAMPLE STATISTICS
Means
I I_SE S1 S1_SE S2
________ ________ ________ ________ ________
10.736 2.821 -1.064 0.887 -0.308
Means
S2_SE
________
0.233
Covariances
I I_SE S1 S1_SE S2
________ ________ ________ ________ ________
I 21.313
I_SE 0.000 0.000
S1 -5.135 0.000 1.591
S1_SE 0.000 0.000 0.000 0.000
S2 -0.219 0.000 -0.003 0.000 0.043
S2_SE 0.000 0.000 0.000 0.000 0.000
Covariances
S2_SE
________
S2_SE 0.000
Correlations
I I_SE S1 S1_SE S2
________ ________ ________ ________ ________
I 1.000
I_SE 999.000 1.000
S1 -0.882 999.000 1.000
S1_SE 999.000 999.000 999.000 1.000
S2 -0.229 999.000 -0.011 999.000 1.000
S2_SE 999.000 999.000 999.000 999.000 999.000
Correlations
S2_SE
________
S2_SE 1.000
PLOT INFORMATION
The following plots are available:
Histograms (sample values, estimated factor scores, estimated values, residuals)
Scatterplots (sample values, estimated factor scores, estimated values, residuals)
Sample means
Estimated means
Sample and estimated means
Latent variable distribution plots
Observed individual values
Estimated individual values
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\script7.15.dgm
Beginning Time: 18:29:28
Ending Time: 18:29:28
Elapsed Time: 00:00:00
MUTHEN & MUTHEN
3463 Stoner Ave.
Los Angeles, CA 90066
Tel: (310) 391-9971
Fax: (310) 391-8971
Web: www.StatModel.com
Support: Support@StatModel.com
Copyright (c) 1998-2021 Muthen & Muthen