Mplus VERSION 8.6
MUTHEN & MUTHEN
07/20/2021 6:01 PM
OUTPUT SECTIONS
INPUT INSTRUCTIONS
TITLE: 7.6 M1b. Modèle linéaire non équidistant
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 s | C1@0 C2@1 C3@4 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
7.6 M1b. Modèle linéaire non équidistant
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
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:
24.6948 9
24.6948 3
24.6948 18
24.6948 1
24.6948 7
24.6948 unperturbed
24.6948 2
24.6948 15
24.6948 20
24.6948 4
24.6948 13
24.6948 5
24.6948 10
24.6948 19
24.6948 14
24.6948 11
24.6948 16
24.6948 8
24.6948 6
24.6948 17
24.6948 12
MODEL FIT INFORMATION
Number of Free Parameters 8
Loglikelihood
H0 Value -1173.764
H0 Scaling Correction Factor 2.1776
for MLR
H1 Value -1161.416
H1 Scaling Correction Factor 1.7889
for MLR
Information Criteria
Akaike (AIC) 2363.527
Bayesian (BIC) 2384.448
Sample-Size Adjusted BIC 2359.180
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit
Value 19.434*
Degrees of Freedom 6
P-Value 0.0035
Scaling Correction Factor 1.2707
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 0.149
90 Percent C.I. 0.078 0.225
Probability RMSEA <= .05 0.015
CFI/TLI
CFI 0.636
TLI 0.636
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 0.123
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 4.000 0.000 999.000 999.000
C4 9.000 0.000 999.000 999.000
S WITH
I -1.947 0.764 -2.550 0.011
Means
I 10.376 0.547 18.974 0.000
S -0.741 0.066 -11.170 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 17.241 6.725 2.564 0.010
S 0.282 0.090 3.128 0.002
Residual Variances
C1 25.631 7.394 3.466 0.001
C2 20.061 6.733 2.980 0.003
C3 21.772 5.917 3.680 0.000
C4 0.000 0.000 999.000 999.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.111E-03
(ratio of smallest to largest eigenvalue)
STANDARDIZED MODEL RESULTS
STDYX Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
I |
C1 0.634 0.104 6.093 0.000
C2 0.715 0.129 5.533 0.000
C3 0.785 0.105 7.495 0.000
C4 1.852 0.492 3.762 0.000
S |
C1 0.000 0.000 999.000 999.000
C2 0.091 0.015 6.268 0.000
C3 0.402 0.042 9.511 0.000
C4 2.131 0.436 4.894 0.000
S WITH
I -0.883 0.051 -17.340 0.000
Means
I 2.499 0.431 5.804 0.000
S -1.396 0.208 -6.710 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 1.000 0.000 999.000 999.000
S 1.000 0.000 999.000 999.000
Residual Variances
C1 0.598 0.132 4.529 0.000
C2 0.595 0.145 4.104 0.000
C3 0.779 0.052 15.044 0.000
C4 0.000 999.000 999.000 999.000
R-SQUARE
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
C1 0.402 0.132 3.047 0.002
C2 0.405 0.145 2.788 0.005
C3 0.221 0.052 4.266 0.000
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 S
________ ________
C1 0 0
C2 0 0
C3 0 0
C4 0 0
THETA
C1 C2 C3 C4
________ ________ ________ ________
C1 1
C2 0 2
C3 0 0 3
C4 0 0 0 0
ALPHA
I S
________ ________
4 5
BETA
I S
________ ________
I 0 0
S 0 0
PSI
I S
________ ________
I 6
S 7 8
STARTING VALUES
NU
C1 C2 C3 C4
________ ________ ________ ________
0.000 0.000 0.000 0.000
LAMBDA
I S
________ ________
C1 1.000 0.000
C2 1.000 1.000
C3 1.000 4.000
C4 1.000 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 S
________ ________
10.413 -0.782
BETA
I S
________ ________
I 0.000 0.000
S 0.000 0.000
PSI
I S
________ ________
I 29.375
S 0.000 0.576
TECHNICAL 4 OUTPUT
ESTIMATES DERIVED FROM THE MODEL
ESTIMATED MEANS FOR THE LATENT VARIABLES
I S
________ ________
10.376 -0.741
S.E. FOR ESTIMATED MEANS FOR THE LATENT VARIABLES
I S
________ ________
0.547 0.066
EST./S.E. FOR ESTIMATED MEANS FOR THE LATENT VARIABLES
I S
________ ________
18.974 -11.170
TWO-TAILED P-VALUE FOR ESTIMATED MEANS FOR THE LATENT VARIABLES
I S
________ ________
0.000 0.000
ESTIMATED COVARIANCE MATRIX FOR THE LATENT VARIABLES
I S
________ ________
I 17.241
S -1.947 0.282
S.E. FOR ESTIMATED COVARIANCE MATRIX FOR THE LATENT VARIABLES
I S
________ ________
I 6.725
S 0.764 0.090
EST./S.E. FOR ESTIMATED COVARIANCE MATRIX FOR THE LATENT VARIABLES
I S
________ ________
I 2.564
S -2.550 3.128
TWO-TAILED P-VALUE FOR ESTIMATED COVARIANCE MATRIX FOR THE LATENT VARIABLES
I S
________ ________
I 0.010
S 0.011 0.002
ESTIMATED CORRELATION MATRIX FOR THE LATENT VARIABLES
I S
________ ________
I 1.000
S -0.883 1.000
S.E. FOR ESTIMATED CORRELATION MATRIX FOR THE LATENT VARIABLES
I S
________ ________
I 0.000
S 0.051 0.000
EST./S.E. FOR ESTIMATED CORRELATION MATRIX FOR THE LATENT VARIABLES
I S
________ ________
I 999.000
S -17.340 999.000
TWO-TAILED P-VALUE FOR ESTIMATED CORRELATION MATRIX FOR THE LATENT VARIABLES
I S
________ ________
I 0.000
S 0.000 0.000
SAMPLE STATISTICS FOR ESTIMATED FACTOR SCORES
SAMPLE STATISTICS
Means
I I_SE S S_SE
________ ________ ________ ________
10.376 2.577 -0.741 0.286
Covariances
I I_SE S S_SE
________ ________ ________ ________
I 10.602
I_SE 0.000 0.000
S -1.210 0.000 0.200
S_SE 0.000 0.000 0.000 0.000
Correlations
I I_SE S S_SE
________ ________ ________ ________
I 1.000
I_SE 999.000 1.000
S -0.831 999.000 1.000
S_SE 999.000 999.000 999.000 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\script7.6.dgm
Beginning Time: 18:01:11
Ending Time: 18:01:11
Elapsed Time: 00:00:00
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