Mplus VERSION 8.6
MUTHEN & MUTHEN
07/20/2021 6:19 PM
OUTPUT SECTIONS
INPUT INSTRUCTIONS
TITLE: 7.10 M3. Modèle piecewise non equidistant
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 ;
STARTS = 20 ;
MODEL:
i s1 | C1@0 C2@1 C3@4 C4@4 ;
i s2 | C1@0 C2@0 C3@0 C4@9 ;
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
7.10 M3. Modèle piecewise non equidistant
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 3
Observed dependent variables
Continuous
C1 C2 C3 C4
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
________ ________ ________ ________
10.412 10.189 6.393 3.706
Covariances
C1 C2 C3 C4
________ ________ ________ ________
C1 45.592
C2 22.137 36.375
C3 0.437 3.455 22.701
C4 -1.599 0.641 3.507 5.026
Correlations
C1 C2 C3 C4
________ ________ ________ ________
C1 1.000
C2 0.544 1.000
C3 0.014 0.120 1.000
C4 -0.106 0.047 0.328 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
RANDOM STARTS RESULTS RANKED FROM THE BEST TO THE WORST FIT FUNCTION VALUES
Fit function values at local maxima and random start numbers:
2.7851 16
2.7851 2
2.7851 12
2.7851 3
2.7851 15
2.7851 20
2.7851 6
2.7851 11
2.7851 10
2.7851 17
2.7851 13
2.7851 9
2.7851 14
2.7851 5
2.7851 unperturbed
2.7851 19
2.7851 8
2.7851 4
2.7851 7
2.7851 18
2.7851 1
MODEL FIT INFORMATION
Number of Free Parameters 12
Loglikelihood
H0 Value -1162.809
H0 Scaling Correction Factor 1.8961
for MLR
H1 Value -1161.416
H1 Scaling Correction Factor 1.7889
for MLR
Information Criteria
Akaike (AIC) 2349.617
Bayesian (BIC) 2380.999
Sample-Size Adjusted BIC 2343.097
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit
Value 2.431*
Degrees of Freedom 2
P-Value 0.2965
Scaling Correction Factor 1.1456
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 0.046
90 Percent C.I. 0.000 0.209
Probability RMSEA <= .05 0.383
CFI/TLI
CFI 0.988
TLI 0.965
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 0.032
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
S1 WITH
I -7.131 2.763 -2.581 0.010
S2 WITH
I -0.214 0.302 -0.710 0.478
S1 -0.113 0.231 -0.492 0.623
Means
I 10.737 0.635 16.901 0.000
S1 -1.064 0.207 -5.140 0.000
S2 -0.308 0.052 -5.899 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 29.251 10.233 2.858 0.004
S1 2.339 0.926 2.526 0.012
S2 0.092 0.090 1.022 0.307
Residual Variances
C1 16.256 6.235 2.607 0.009
C2 19.312 5.618 3.437 0.001
C3 13.241 7.120 1.860 0.063
C4 0.000 0.000 999.000 999.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.118E-04
(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 9.271 0.000
C2 0.894 0.108 8.295 0.000
C3 1.131 0.244 4.641 0.000
C4 2.412 0.599 4.028 0.000
S1 |
C1 0.000 0.000 999.000 999.000
C2 0.253 0.044 5.688 0.000
C3 1.279 0.264 4.838 0.000
C4 2.728 0.687 3.969 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 1.215 0.665 1.827 0.068
S1 WITH
I -0.862 0.088 -9.829 0.000
S2 WITH
I -0.131 0.216 -0.604 0.546
S1 -0.245 0.358 -0.685 0.494
Means
I 1.985 0.302 6.572 0.000
S1 -0.696 0.165 -4.217 0.000
S2 -1.019 0.515 -1.979 0.048
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 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 0.357 0.139 2.576 0.010
C2 0.527 0.107 4.942 0.000
C3 0.579 0.276 2.101 0.036
C4 0.000 999.000 999.000 999.000
R-SQUARE
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
C1 0.643 0.139 4.635 0.000
C2 0.473 0.107 4.435 0.000
C3 0.421 0.276 1.527 0.127
C4 1.000 999.000 999.000 999.000
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
NU
C1 C2 C3 C4
________ ________ ________ ________
0 0 0 0
LAMBDA
I S1 S2
________ ________ ________
C1 0 0 0
C2 0 0 0
C3 0 0 0
C4 0 0 0
THETA
C1 C2 C3 C4
________ ________ ________ ________
C1 1
C2 0 2
C3 0 0 3
C4 0 0 0 0
ALPHA
I S1 S2
________ ________ ________
4 5 6
BETA
I S1 S2
________ ________ ________
I 0 0 0
S1 0 0 0
S2 0 0 0
PSI
I S1 S2
________ ________ ________
I 7
S1 8 9
S2 10 11 12
STARTING VALUES
NU
C1 C2 C3 C4
________ ________ ________ ________
0.000 0.000 0.000 0.000
LAMBDA
I S1 S2
________ ________ ________
C1 1.000 0.000 0.000
C2 1.000 1.000 0.000
C3 1.000 4.000 0.000
C4 1.000 4.000 9.000
THETA
C1 C2 C3 C4
________ ________ ________ ________
C1 22.796
C2 0.000 18.188
C3 0.000 0.000 11.350
C4 0.000 0.000 0.000 0.000
ALPHA
I S1 S2
________ ________ ________
10.938 -1.450 7.675
BETA
I S1 S2
________ ________ ________
I 0.000 0.000 0.000
S1 0.000 0.000 0.000
S2 0.000 0.000 0.000
PSI
I S1 S2
________ ________ ________
I 40.607
S1 0.000 3.136
S2 0.000 0.000 10.428
TECHNICAL 4 OUTPUT
ESTIMATES DERIVED FROM THE MODEL
ESTIMATED MEANS FOR THE LATENT VARIABLES
I S1 S2
________ ________ ________
10.737 -1.064 -0.308
S.E. FOR ESTIMATED MEANS FOR THE LATENT VARIABLES
I S1 S2
________ ________ ________
0.635 0.207 0.052
EST./S.E. FOR ESTIMATED MEANS FOR THE LATENT VARIABLES
I S1 S2
________ ________ ________
16.901 -5.140 -5.899
TWO-TAILED P-VALUE FOR ESTIMATED MEANS FOR THE LATENT VARIABLES
I S1 S2
________ ________ ________
0.000 0.000 0.000
ESTIMATED COVARIANCE MATRIX FOR THE LATENT VARIABLES
I S1 S2
________ ________ ________
I 29.251
S1 -7.131 2.339
S2 -0.214 -0.113 0.092
S.E. FOR ESTIMATED COVARIANCE MATRIX FOR THE LATENT VARIABLES
I S1 S2
________ ________ ________
I 10.233
S1 2.763 0.926
S2 0.302 0.231 0.090
EST./S.E. FOR ESTIMATED COVARIANCE MATRIX FOR THE LATENT VARIABLES
I S1 S2
________ ________ ________
I 2.858
S1 -2.581 2.526
S2 -0.710 -0.492 1.022
TWO-TAILED P-VALUE FOR ESTIMATED COVARIANCE MATRIX FOR THE LATENT VARIABLES
I S1 S2
________ ________ ________
I 0.004
S1 0.010 0.012
S2 0.478 0.623 0.307
ESTIMATED CORRELATION MATRIX FOR THE LATENT VARIABLES
I S1 S2
________ ________ ________
I 1.000
S1 -0.862 1.000
S2 -0.131 -0.245 1.000
S.E. FOR ESTIMATED CORRELATION MATRIX FOR THE LATENT VARIABLES
I S1 S2
________ ________ ________
I 0.000
S1 0.088 0.000
S2 0.216 0.358 0.000
EST./S.E. FOR ESTIMATED CORRELATION MATRIX FOR THE LATENT VARIABLES
I S1 S2
________ ________ ________
I 999.000
S1 -9.829 999.000
S2 -0.604 -0.685 999.000
TWO-TAILED P-VALUE FOR ESTIMATED CORRELATION MATRIX FOR THE LATENT VARIABLES
I S1 S2
________ ________ ________
I 0.000
S1 0.000 0.000
S2 0.546 0.494 0.000
SAMPLE STATISTICS FOR ESTIMATED FACTOR SCORES
SAMPLE STATISTICS
Means
I I_SE S1 S1_SE S2
________ ________ ________ ________ ________
10.737 2.822 -1.064 0.887 -0.308
Means
S2_SE
________
0.235
Covariances
I I_SE S1 S1_SE S2
________ ________ ________ ________ ________
I 21.289
I_SE 0.000 0.000
S1 -5.124 0.000 1.553
S1_SE 0.000 0.000 0.000 0.000
S2 -0.221 0.000 0.013 0.000 0.036
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 -0.891 999.000 1.000
S1_SE 999.000 999.000 999.000 1.000
S2 -0.252 999.000 0.055 999.000 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\script7.10.dgm
Beginning Time: 18:19:06
Ending Time: 18:19:06
Elapsed Time: 00:00:00
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