This tutorial executes the CCA as described in Benitez et al. (2018) using Mplus. Mplus is a proprietary software for covariance-based structural equation modeling. It can be obtained from https://statmodel.com/.
In order to specify composite models in Mplus, analysts can rely on the Henseler–Ogasawara specification (Schuberth, 2022; Henseler & Schuberth, 2021), i.e., they must specify emergent variables and excrescent variables. The figure below illustrates the specified model.
The data and project files can be downloaded here:
Code:
TITLE:
CCA example
DATA:
FILE IS itflex.dat;
ANALYSIS:
ESTIMATOR IS ML;
VARIABLE:
NAMES ARE ITCOMP1-ITCOMP4 ITCONN1-ITCONN4 MOD1-MOD4 ITPSF1-ITPSF4;
USEVARIABLES ARE ITCOMP1-ITCOMP4 ITCONN1-ITCONN4 MOD1-MOD4 ITPSF1-ITPSF4;
MODEL:
! Specification of the relationships between the observed variables ITCOMP1 - ITCOMP4
! and the emergent variable ITCOMP in terms of composite loadings.
ITCOMP BY ITCOMP1*0 ITCOMP2*0 ITCOMP3@1 ITCOMP4*0;
! Specification of the relationships between the observed variables ITCOMP1 - ITCOMP4
! and their excrescent variables in terms of composite loadings.
nu11 BY ITCOMP1@1 ITCOMP2*0 ITCOMP3*0 ITCOMP4*0;
nu12 BY ITCOMP1@0 ITCOMP2@1 ITCOMP3*0 ITCOMP4*0;
nu13 BY ITCOMP1@0 ITCOMP2@0 ITCOMP3*0 ITCOMP4@1;
! Specification of the relationships between the observed variables ITCONN1 - ITCONN4
! and the emergent variable ITCONN in terms of composite loadings.
ITCONN BY ITCONN1*0 ITCONN2@1 ITCONN3*0 ITCONN4*0;
! Specification of the relationships between the observed variables ITCONN1 - ITCONN4
! and their excrescent variables in terms of composite loadings.
nu21 BY ITCONN1@1 ITCONN2*0 ITCONN3*0 ITCONN4*0;
nu22 BY ITCONN1@0 ITCONN2*0 ITCONN3@1 ITCONN4*0;
nu23 BY ITCONN1@0 ITCONN2@0 ITCONN3*0 ITCONN4@1;
! Specification of the relationships between the observed variables MOD1 - MOD4
! and the emergent variable MOD in terms of composite loadings.
MOD BY MOD1*0 MOD2*0 MOD3@1 MOD4*0;
! Specification of the relationships between the observed variables MOD1 - MOD4
! and their excrescent variables in terms of composite loadings.
nu31 BY MOD1@1 MOD2*0 MOD3*0 MOD4*0;
nu32 BY MOD1@0 MOD2@1 MOD3*0 MOD4*0;
nu33 BY MOD1@0 MOD2@0 MOD3*0 MOD4@1;
! Specification of the relationships between the observed variables ITPSF1 - ITPSF4
! and the emergent variable ITPSF in terms of composite loadings.
ITPSF BY ITPSF1*0 ITPSF2@1 ITPSF3*0 ITPSF4*0;
! Specification of the relationships between the observed variables ITPSF1 - ITPSF4
! and their excrescent variables in terms of composite loadings.
nu41 BY ITPSF1@1 ITPSF2*0 ITPSF3*0 ITPSF4*0;
nu42 BY ITPSF1@0 ITPSF2*0 ITPSF3@1 ITPSF4*0;
nu43 BY ITPSF1@0 ITPSF2@0 ITPSF3*0 ITPSF4@1;
ITCOMP WITH ITCONN MOD ITPSF;
ITCONN WITH MOD ITPSF;
MOD WITH ITPSF;
! The H-O specification assumes that the excrescent variables are uncorrelated.
! Therefore, the covariance between the excrescent variables is fixed to 0:
nu11 WITH nu12@0 nu13@0 nu21@0 nu22@0 nu23@0 nu31@0 nu32@0 nu33@0;
nu11 WITH nu41@0 nu42@0 nu43@0;
nu12 WITH nu13@0 nu21@0 nu22@0 nu23@0 nu31@0 nu32@0 nu33@0;
nu12 WITH nu41@0 nu42@0 nu43@0;
nu13 WITH nu21@0 nu22@0 nu23@0 nu31@0 nu32@0 nu33@0;
nu13 WITH nu41@0 nu42@0 nu43@0;
nu21 WITH nu22@0 nu23@0 nu31@0 nu32@0 nu33@0;
nu21 WITH nu41@0 nu42@0 nu43@0;
nu22 WITH nu23@0 nu31@0 nu32@0 nu33@0;
nu22 WITH nu41@0 nu42@0 nu43@0;
nu23 WITH nu31@0 nu32@0 nu33@0 nu41@0 nu42@0 nu43@0;
nu31 WITH nu32@0 nu33@0 nu41@0 nu42@0 nu43@0;
nu32 WITH nu33@0 nu41@0 nu42@0 nu43@0;
nu33 WITH nu41@0 nu42@0 nu43@0;
nu41 WITH nu42@0 nu43@0;
nu42 WITH nu43@0;
! Moreover, the H-O specification assumes that the excrescent variables are uncorrelated
! with the emergent and latent variables. Therefore, the covariances between
! the emergent and the excrescent varibales are fixed to 0:
ITCOMP WITH nu11@0 nu12@0 nu13@0 nu21@0 nu22@0 nu23@0;
ITCOMP WITH nu31@0 nu32@0 nu33@0 nu41@0 nu42@0 nu43@0;
ITCONN WITH nu11@0 nu12@0 nu13@0 nu21@0 nu22@0 nu23@0;
ITCONN WITH nu31@0 nu32@0 nu33@0 nu41@0 nu42@0 nu43@0;
MOD WITH nu11@0 nu12@0 nu13@0 nu21@0 nu22@0 nu23@0;
MOD WITH nu31@0 nu32@0 nu33@0 nu41@0 nu42@0 nu43@0;
ITPSF WITH nu11@0 nu12@0 nu13@0 nu21@0 nu22@0 nu23@0;
ITPSF WITH nu31@0 nu32@0 nu33@0 nu41@0 nu42@0 nu43@0;
! In MPlus, the BY command is originally used to specify a common factor model,
! which assumes that each observed variable is affected by a random measurement error.
! It is assumed that the observed variables forming composites are free from
! random measurement error. Therefore, the variances of the random measurement errors
! originally attached to the observed variables by the common factor model are fixed to 0:
ITCOMP1@0 ITCOMP2@0 ITCOMP3@0 ITCOMP4@0;
ITCONN1@0 ITCONN2@0 ITCONN3@0 ITCONN4@0;
MOD1@0 MOD2@0 MOD3@0 MOD4@0;
ITPSF1@0 ITPSF2@0 ITPSF3@0 ITPSF4@0;
OUTPUT:
STANDARDIZED;Results:
Mplus VERSION 8.7
MUTHEN & MUTHEN
04/04/2022 9:15 AM
INPUT INSTRUCTIONS
TITLE:
CCA example
DATA:
FILE IS itflex.dat;
ANALYSIS:
ESTIMATOR IS ML;
VARIABLE:
NAMES ARE ITCOMP1-ITCOMP4 ITCONN1-ITCONN4 MOD1-MOD4 ITPSF1-ITPSF4;
USEVARIABLES ARE ITCOMP1-ITCOMP4 ITCONN1-ITCONN4 MOD1-MOD4 ITPSF1-ITPSF4;
MODEL:
! Specification of the relationships between the observed variables ITCOMP1 - ITCOMP4
! and the emergent variable ITCOMP in terms of composite loadings.
ITCOMP BY ITCOMP1*0 (l11)
ITCOMP2*0 (l21)
ITCOMP3@1
ITCOMP4*0 (l41);
! Specification of the relationships between the observed variables ITCOMP1 - ITCOMP4
! and their excrescent variables in terms of composite loadings.
nu11 BY ITCOMP1@1
ITCOMP2*0 (l22)
ITCOMP3*0 (l32)
ITCOMP4*0 (l42);
nu12 BY ITCOMP1@0
ITCOMP2@1
ITCOMP3*0 (l33)
ITCOMP4*0 (l43);
nu13 BY ITCOMP1@0
ITCOMP2@0
ITCOMP3*0 (l34)
ITCOMP4@1;
! Label variances of the emergent and excrescent variables (ITCOMP)
ITCOMP (vITCOMP);
nu11 (vnu11);
nu12 (vnu12);
nu13 (vnu13);
! Specification of the relationships between the observed variables ITCONN1 - ITCONN4
! and the emergent variable ITCONN in terms of composite loadings.
ITCONN BY ITCONN1*0 ITCONN2@1 ITCONN3*0 ITCONN4*0;
! Specification of the relationships between the observed variables ITCONN1 - ITCONN4
! and their excrescent variables in terms of composite loadings.
nu21 BY ITCONN1@1 ITCONN2*0 ITCONN3*0 ITCONN4*0;
nu22 BY ITCONN1@0 ITCONN2*0 ITCONN3@1 ITCONN4*0;
nu23 BY ITCONN1@0 ITCONN2@0 ITCONN3*0 ITCONN4@1;
! Specification of the relationships between the observed variables MOD1 - MOD4
! and the emergent variable MOD in terms of composite loadings.
MOD BY MOD1*0 MOD2*0 MOD3@1 MOD4*0;
! Specification of the relationships between the observed variables MOD1 - MOD4
! and their excrescent variables in terms of composite loadings.
nu31 BY MOD1@1 MOD2*0 MOD3*0 MOD4*0;
nu32 BY MOD1@0 MOD2@1 MOD3*0 MOD4*0;
nu33 BY MOD1@0 MOD2@0 MOD3*0 MOD4@1;
! Specification of the relationships between the observed variables ITPSF1 - ITPSF4
! and the emergent variable ITPSF in terms of composite loadings.
ITPSF BY ITPSF1*0 ITPSF2@1 ITPSF3*0 ITPSF4*0;
! Specification of the relationships between the observed variables ITPSF1 - ITPSF4
! and their excrescent variables in terms of composite loadings.
nu41 BY ITPSF1@1 ITPSF2*0 ITPSF3*0 ITPSF4*0;
nu42 BY ITPSF1@0 ITPSF2*0 ITPSF3@1 ITPSF4*0;
nu43 BY ITPSF1@0 ITPSF2@0 ITPSF3*0 ITPSF4@1;
ITCOMP WITH ITCONN MOD ITPSF;
ITCONN WITH MOD ITPSF;
MOD WITH ITPSF;
! The H-O specification assumes that the excrescent variables are uncorrelated.
! Therefore, the covariance between the excrescent variables is fixed to 0:
nu11 WITH nu12@0 nu13@0 nu21@0 nu22@0 nu23@0 nu31@0 nu32@0 nu33@0;
nu11 WITH nu41@0 nu42@0 nu43@0;
nu12 WITH nu13@0 nu21@0 nu22@0 nu23@0 nu31@0 nu32@0 nu33@0;
nu12 WITH nu41@0 nu42@0 nu43@0;
nu13 WITH nu21@0 nu22@0 nu23@0 nu31@0 nu32@0 nu33@0;
nu13 WITH nu41@0 nu42@0 nu43@0;
nu21 WITH nu22@0 nu23@0 nu31@0 nu32@0 nu33@0;
nu21 WITH nu41@0 nu42@0 nu43@0;
nu22 WITH nu23@0 nu31@0 nu32@0 nu33@0;
nu22 WITH nu41@0 nu42@0 nu43@0;
nu23 WITH nu31@0 nu32@0 nu33@0 nu41@0 nu42@0 nu43@0;
nu31 WITH nu32@0 nu33@0 nu41@0 nu42@0 nu43@0;
nu32 WITH nu33@0 nu41@0 nu42@0 nu43@0;
nu33 WITH nu41@0 nu42@0 nu43@0;
nu41 WITH nu42@0 nu43@0;
nu42 WITH nu43@0;
! Moreover, the H-O specification assumes that the excrescent variables are uncorrelated
! with the emergent and latent variables. Therefore, the covariances between
! the emergent and the excrescent varibales are fixed to 0:
ITCOMP WITH nu11@0 nu12@0 nu13@0 nu21@0 nu22@0 nu23@0;
ITCOMP WITH nu31@0 nu32@0 nu33@0 nu41@0 nu42@0 nu43@0;
ITCONN WITH nu11@0 nu12@0 nu13@0 nu21@0 nu22@0 nu23@0;
ITCONN WITH nu31@0 nu32@0 nu33@0 nu41@0 nu42@0 nu43@0;
MOD WITH nu11@0 nu12@0 nu13@0 nu21@0 nu22@0 nu23@0;
MOD WITH nu31@0 nu32@0 nu33@0 nu41@0 nu42@0 nu43@0;
ITPSF WITH nu11@0 nu12@0 nu13@0 nu21@0 nu22@0 nu23@0;
ITPSF WITH nu31@0 nu32@0 nu33@0 nu41@0 nu42@0 nu43@0;
! In MPlus, the BY command is originally used to specify a common factor model,
! which assumes that each observed variable is affected by a random measurement error.
! It is assumed that the observed variables forming composites are free from
! random measurement error. Therefore, the variances of the random measurement errors
! originally attached to the observed variables by the common factor model are fixed to 0:
ITCOMP1@0 ITCOMP2@0 ITCOMP3@0 ITCOMP4@0;
ITCONN1@0 ITCONN2@0 ITCONN3@0 ITCONN4@0;
MOD1@0 MOD2@0 MOD3@0 MOD4@0;
ITPSF1@0 ITPSF2@0 ITPSF3@0 ITPSF4@0;
! calculate weights
MODEL CONSTRAINT:
NEW(w1 w2 w3 w4);
w1 = (-l32 + l22*l33 + l34*l42 - l22*l34*l43)/(
1 - l11*l32 - l21*l33 + l11*l22*l33 - l34*l41 + l11*l34*l42 +
l21* l34* l43 - l11* l22* l34* l43);
w2 = (-l33 + l34*l43)/(1 - l11*l32 - l21*l33 +
l11*l22*l33 - l34*l41 + l11*l34*l42 +
l21*l34*l43 - l11*l22*l34*l43);
w3 = 1/(1 - l11*l32 - l21*l33 + l11*l22*l33 -
l34*l41 + l11*l34*l42 + l21*l34*l43 - l11*l22*l34*l43);
w4 = -l34/(1 - l11*l32 - l21*l33 + l11*l22*l33 -
l34*l41 + l11*l34*l42 + l21*l34*l43 - l11*l22*l34*l43);
NEW (vITCOMP1 vITCOMP2 vITCOMP3 vITCOMP4);
vITCOMP1 = l11^2*vITCOMP + vnu11;
vITCOMP2 = l21^2*vITCOMP + l22^2*vnu11 + vnu12;
vITCOMP3 = vITCOMP + l32^2*vnu11 + l33^2 * vnu12 + l34^2*vnu13;
vITCOMP4 = l41^2*vITCOMP + l42^2*vnu11 + l43^2*vnu12 + vnu13;
NEW (w1std w2std w3std w4std);
w1std = w1*(vITCOMP1/vITCOMP)^(1/2);
w2std = w2*(vITCOMP2/vITCOMP)^(1/2);
w3std = w3*(vITCOMP3/vITCOMP)^(1/2);
w4std = w4*(vITCOMP4/vITCOMP)^(1/2);
OUTPUT:
STANDARDIZED;
INPUT READING TERMINATED NORMALLY
CCA example
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 100
Number of dependent variables 16
Number of independent variables 0
Number of continuous latent variables 16
Observed dependent variables
Continuous
ITCOMP1 ITCOMP2 ITCOMP3 ITCOMP4 ITCONN1 ITCONN2
ITCONN3 ITCONN4 MOD1 MOD2 MOD3 MOD4
ITPSF1 ITPSF2 ITPSF3 ITPSF4
Continuous latent variables
ITCOMP NU11 NU12 NU13 ITCONN NU21
NU22 NU23 MOD NU31 NU32 NU33
ITPSF NU41 NU42 NU43
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)
itflex.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
ITCOMP1 3.190 -0.065 1.000 12.00% 2.000 3.000 3.000
100.000 1.474 -0.589 5.000 21.00% 3.000 5.000
ITCOMP2 3.690 -0.741 1.000 9.00% 3.000 3.000 4.000
100.000 1.414 -0.068 5.000 31.00% 4.000 5.000
ITCOMP3 3.610 -0.425 1.000 6.00% 3.000 3.000 3.500
100.000 1.258 -0.330 5.000 28.00% 4.000 5.000
ITCOMP4 3.550 -0.247 1.000 4.00% 3.000 3.000 3.000
100.000 1.048 -0.211 5.000 22.00% 4.000 5.000
ITCONN1 4.310 -1.587 1.000 3.00% 4.000 4.000 5.000
100.000 0.974 2.178 5.000 57.00% 5.000 5.000
ITCONN2 4.060 -0.934 1.000 3.00% 3.000 4.000 4.000
100.000 1.116 0.209 5.000 46.00% 5.000 5.000
ITCONN3 3.640 -0.714 1.000 15.00% 3.000 3.000 4.000
100.000 1.990 -0.741 5.000 39.00% 4.000 5.000
ITCONN4 3.470 -0.101 1.000 3.00% 3.000 3.000 3.000
100.000 1.109 -0.632 5.000 21.00% 4.000 5.000
MOD1 3.480 -0.508 1.000 7.00% 3.000 3.000 3.500
100.000 1.150 -0.019 5.000 18.00% 4.000 4.000
MOD2 3.240 -0.191 1.000 9.00% 2.000 3.000 3.000
100.000 1.282 -0.471 5.000 16.00% 3.000 4.000
MOD3 3.140 -0.223 1.000 9.00% 3.000 3.000 3.000
100.000 1.000 0.304 5.000 10.00% 3.000 4.000
MOD4 3.310 -0.309 1.000 5.00% 3.000 3.000 3.000
100.000 0.914 0.123 5.000 10.00% 4.000 4.000
ITPSF1 3.530 -0.524 1.000 5.00% 3.000 3.000 4.000
100.000 0.969 0.319 5.000 16.00% 4.000 4.000
ITPSF2 3.610 -0.588 1.000 3.00% 3.000 3.000 4.000
100.000 0.858 0.364 5.000 15.00% 4.000 4.000
ITPSF3 3.580 -0.279 1.000 2.00% 3.000 3.000 4.000
100.000 0.824 -0.011 5.000 16.00% 4.000 4.000
ITPSF4 3.870 -0.882 1.000 3.00% 3.000 4.000 4.000
100.000 0.853 1.042 5.000 25.00% 4.000 5.000
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 74
Loglikelihood
H0 Value -2084.032
H1 Value -2018.869
Information Criteria
Akaike (AIC) 4316.064
Bayesian (BIC) 4508.847
Sample-Size Adjusted BIC 4275.136
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit
Value 130.326
Degrees of Freedom 78
P-Value 0.0002
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.082
90 Percent C.I. 0.056 0.106
Probability RMSEA <= .05 0.023
CFI/TLI
CFI 0.904
TLI 0.853
Chi-Square Test of Model Fit for the Baseline Model
Value 667.522
Degrees of Freedom 120
P-Value 0.0000
SRMR (Standardized Root Mean Square Residual)
Value 0.062
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
ITCOMP BY
ITCOMP1 0.677 0.176 3.845 0.000
ITCOMP2 0.746 0.136 5.488 0.000
ITCOMP3 1.000 0.000 999.000 999.000
ITCOMP4 0.648 0.131 4.949 0.000
NU11 BY
ITCOMP1 1.000 0.000 999.000 999.000
ITCOMP2 0.091 0.144 0.629 0.530
ITCOMP3 -0.287 0.160 -1.790 0.073
ITCOMP4 -0.044 0.142 -0.309 0.757
NU12 BY
ITCOMP1 0.000 0.000 999.000 999.000
ITCOMP2 1.000 0.000 999.000 999.000
ITCOMP3 -0.041 0.175 -0.232 0.817
ITCOMP4 0.060 0.144 0.418 0.676
NU13 BY
ITCOMP1 0.000 0.000 999.000 999.000
ITCOMP2 0.000 0.000 999.000 999.000
ITCOMP3 -0.282 0.228 -1.233 0.218
ITCOMP4 1.000 0.000 999.000 999.000
ITCONN BY
ITCONN1 0.607 0.171 3.552 0.000
ITCONN2 1.000 0.000 999.000 999.000
ITCONN3 1.700 0.315 5.399 0.000
ITCONN4 0.909 0.243 3.744 0.000
NU21 BY
ITCONN1 1.000 0.000 999.000 999.000
ITCONN2 0.153 0.133 1.156 0.248
ITCONN3 -0.280 0.197 -1.422 0.155
ITCONN4 -0.315 0.142 -2.218 0.027
NU22 BY
ITCONN1 0.000 0.000 999.000 999.000
ITCONN2 -2.144 1.290 -1.662 0.097
ITCONN3 1.000 0.000 999.000 999.000
ITCONN4 0.222 0.413 0.537 0.591
NU23 BY
ITCONN1 0.000 0.000 999.000 999.000
ITCONN2 0.000 0.000 999.000 999.000
ITCONN3 -0.488 0.397 -1.228 0.220
ITCONN4 1.000 0.000 999.000 999.000
MOD BY
MOD1 0.885 0.203 4.367 0.000
MOD2 1.183 0.191 6.187 0.000
MOD3 1.000 0.000 999.000 999.000
MOD4 0.960 0.197 4.875 0.000
NU31 BY
MOD1 1.000 0.000 999.000 999.000
MOD2 -0.036 0.151 -0.237 0.812
MOD3 -0.094 0.137 -0.686 0.493
MOD4 -0.251 0.136 -1.854 0.064
NU32 BY
MOD1 0.000 0.000 999.000 999.000
MOD2 1.000 0.000 999.000 999.000
MOD3 0.075 0.183 0.411 0.681
MOD4 -0.773 0.234 -3.310 0.001
NU33 BY
MOD1 0.000 0.000 999.000 999.000
MOD2 0.000 0.000 999.000 999.000
MOD3 -2.799 2.235 -1.252 0.210
MOD4 1.000 0.000 999.000 999.000
ITPSF BY
ITPSF1 1.529 0.380 4.020 0.000
ITPSF2 1.000 0.000 999.000 999.000
ITPSF3 1.326 0.403 3.286 0.001
ITPSF4 1.160 0.340 3.410 0.001
NU41 BY
ITPSF1 1.000 0.000 999.000 999.000
ITPSF2 0.236 0.309 0.763 0.445
ITPSF3 -0.902 0.363 -2.489 0.013
ITPSF4 -0.546 0.349 -1.565 0.118
NU42 BY
ITPSF1 0.000 0.000 999.000 999.000
ITPSF2 -6.439 11.395 -0.565 0.572
ITPSF3 1.000 0.000 999.000 999.000
ITPSF4 -0.674 2.413 -0.279 0.780
NU43 BY
ITPSF1 0.000 0.000 999.000 999.000
ITPSF2 0.000 0.000 999.000 999.000
ITPSF3 -0.410 0.412 -0.996 0.319
ITPSF4 1.000 0.000 999.000 999.000
ITCOMP WITH
ITCONN 0.517 0.134 3.863 0.000
MOD 0.472 0.115 4.097 0.000
ITPSF 0.221 0.088 2.525 0.012
NU11 0.000 0.000 999.000 999.000
NU12 0.000 0.000 999.000 999.000
NU13 0.000 0.000 999.000 999.000
NU21 0.000 0.000 999.000 999.000
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITCONN WITH
MOD 0.340 0.091 3.725 0.000
ITPSF 0.202 0.073 2.772 0.006
NU11 0.000 0.000 999.000 999.000
NU12 0.000 0.000 999.000 999.000
NU13 0.000 0.000 999.000 999.000
NU21 0.000 0.000 999.000 999.000
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
MOD WITH
ITPSF 0.238 0.079 3.006 0.003
NU11 0.000 0.000 999.000 999.000
NU12 0.000 0.000 999.000 999.000
NU13 0.000 0.000 999.000 999.000
NU21 0.000 0.000 999.000 999.000
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
NU11 WITH
NU12 0.000 0.000 999.000 999.000
NU13 0.000 0.000 999.000 999.000
NU21 0.000 0.000 999.000 999.000
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU12 WITH
NU13 0.000 0.000 999.000 999.000
NU21 0.000 0.000 999.000 999.000
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU13 WITH
NU21 0.000 0.000 999.000 999.000
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU21 WITH
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU22 WITH
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU23 WITH
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU31 WITH
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU32 WITH
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU33 WITH
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU41 WITH
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU42 WITH
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
ITPSF WITH
NU43 0.000 0.000 999.000 999.000
Intercepts
ITCOMP1 3.190 0.121 26.276 0.000
ITCOMP2 3.690 0.119 31.033 0.000
ITCOMP3 3.610 0.112 32.187 0.000
ITCOMP4 3.550 0.102 34.686 0.000
ITCONN1 4.310 0.099 43.674 0.000
ITCONN2 4.060 0.106 38.425 0.000
ITCONN3 3.640 0.141 25.801 0.000
ITCONN4 3.470 0.105 32.949 0.000
MOD1 3.480 0.107 32.457 0.000
MOD2 3.240 0.113 28.611 0.000
MOD3 3.140 0.100 31.394 0.000
MOD4 3.310 0.096 34.624 0.000
ITPSF1 3.530 0.098 35.858 0.000
ITPSF2 3.610 0.093 38.975 0.000
ITPSF3 3.580 0.091 39.448 0.000
ITPSF4 3.870 0.092 41.900 0.000
Variances
ITCOMP 1.133 0.201 5.643 0.000
NU11 0.954 0.219 4.351 0.000
NU12 0.776 0.184 4.215 0.000
NU13 0.567 0.142 3.982 0.000
ITCONN 0.585 0.184 3.183 0.001
NU21 0.758 0.140 5.419 0.000
NU22 0.112 0.114 0.981 0.327
NU23 0.545 0.196 2.785 0.005
MOD 0.564 0.162 3.491 0.000
NU31 0.708 0.148 4.772 0.000
NU32 0.493 0.145 3.397 0.001
NU33 0.055 0.075 0.727 0.467
ITPSF 0.285 0.141 2.022 0.043
NU41 0.304 0.125 2.425 0.015
NU42 0.013 0.046 0.292 0.770
NU43 0.373 0.173 2.157 0.031
Residual Variances
ITCOMP1 0.000 0.000 999.000 999.000
ITCOMP2 0.000 0.000 999.000 999.000
ITCOMP3 0.000 0.000 999.000 999.000
ITCOMP4 0.000 0.000 999.000 999.000
ITCONN1 0.000 0.000 999.000 999.000
ITCONN2 0.000 0.000 999.000 999.000
ITCONN3 0.000 0.000 999.000 999.000
ITCONN4 0.000 0.000 999.000 999.000
MOD1 0.000 0.000 999.000 999.000
MOD2 0.000 0.000 999.000 999.000
MOD3 0.000 0.000 999.000 999.000
MOD4 0.000 0.000 999.000 999.000
ITPSF1 0.000 0.000 999.000 999.000
ITPSF2 0.000 0.000 999.000 999.000
ITPSF3 0.000 0.000 999.000 999.000
ITPSF4 0.000 0.000 999.000 999.000
New/Additional Parameters
W1 0.212 0.115 1.836 0.066
W2 0.017 0.139 0.121 0.903
W3 0.714 0.146 4.900 0.000
W4 0.201 0.139 1.445 0.148
VITCOMP1 1.474 0.208 7.071 0.000
VITCOMP2 1.414 0.200 7.071 0.000
VITCOMP3 1.258 0.178 7.071 0.000
VITCOMP4 1.048 0.148 7.071 0.000
W1STD 0.242 0.140 1.728 0.084
W2STD 0.019 0.155 0.121 0.903
W3STD 0.752 0.126 5.965 0.000
W4STD 0.193 0.139 1.395 0.163
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.197E-06
(ratio of smallest to largest eigenvalue)
STANDARDIZED MODEL RESULTS
STDYX Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
ITCOMP BY
ITCOMP1 0.594 0.118 5.030 0.000
ITCOMP2 0.668 0.101 6.600 0.000
ITCOMP3 0.949 0.041 23.187 0.000
ITCOMP4 0.674 0.100 6.721 0.000
NU11 BY
ITCOMP1 0.805 0.087 9.233 0.000
ITCOMP2 0.074 0.122 0.608 0.543
ITCOMP3 -0.250 0.119 -2.088 0.037
ITCOMP4 -0.042 0.133 -0.315 0.753
NU12 BY
ITCOMP1 0.000 0.000 999.000 999.000
ITCOMP2 0.741 0.086 8.579 0.000
ITCOMP3 -0.032 0.134 -0.237 0.813
ITCOMP4 0.052 0.127 0.409 0.683
NU13 BY
ITCOMP1 0.000 0.000 999.000 999.000
ITCOMP2 0.000 0.000 999.000 999.000
ITCOMP3 -0.189 0.135 -1.400 0.161
ITCOMP4 0.736 0.091 8.070 0.000
ITCONN BY
ITCONN1 0.471 0.125 3.759 0.000
ITCONN2 0.724 0.088 8.188 0.000
ITCONN3 0.921 0.044 20.718 0.000
ITCONN4 0.660 0.119 5.566 0.000
NU21 BY
ITCONN1 0.882 0.067 13.214 0.000
ITCONN2 0.126 0.115 1.101 0.271
ITCONN3 -0.173 0.113 -1.531 0.126
ITCONN4 -0.260 0.107 -2.426 0.015
NU22 BY
ITCONN1 0.000 0.000 999.000 999.000
ITCONN2 -0.678 0.085 -7.947 0.000
ITCONN3 0.237 0.122 1.950 0.051
ITCONN4 0.070 0.133 0.528 0.598
NU23 BY
ITCONN1 0.000 0.000 999.000 999.000
ITCONN2 0.000 0.000 999.000 999.000
ITCONN3 -0.255 0.168 -1.523 0.128
ITCONN4 0.701 0.126 5.564 0.000
MOD BY
MOD1 0.620 0.098 6.296 0.000
MOD2 0.784 0.073 10.799 0.000
MOD3 0.751 0.079 9.472 0.000
MOD4 0.754 0.078 9.691 0.000
NU31 BY
MOD1 0.785 0.078 10.091 0.000
MOD2 -0.027 0.111 -0.241 0.810
MOD3 -0.079 0.111 -0.711 0.477
MOD4 -0.221 0.107 -2.060 0.039
NU32 BY
MOD1 0.000 0.000 999.000 999.000
MOD2 0.620 0.094 6.619 0.000
MOD3 0.053 0.132 0.399 0.690
MOD4 -0.568 0.110 -5.152 0.000
NU33 BY
MOD1 0.000 0.000 999.000 999.000
MOD2 0.000 0.000 999.000 999.000
MOD3 -0.654 0.090 -7.298 0.000
MOD4 0.244 0.169 1.447 0.148
ITPSF BY
ITPSF1 0.829 0.080 10.393 0.000
ITPSF2 0.576 0.128 4.496 0.000
ITPSF3 0.779 0.090 8.670 0.000
ITPSF4 0.670 0.112 5.985 0.000
NU41 BY
ITPSF1 0.560 0.118 4.746 0.000
ITPSF2 0.140 0.191 0.734 0.463
ITPSF3 -0.548 0.129 -4.242 0.000
ITPSF4 -0.326 0.169 -1.930 0.054
NU42 BY
ITPSF1 0.000 0.000 999.000 999.000
ITPSF2 -0.805 0.069 -11.668 0.000
ITPSF3 0.128 0.218 0.585 0.559
ITPSF4 -0.085 0.173 -0.489 0.625
NU43 BY
ITPSF1 0.000 0.000 999.000 999.000
ITPSF2 0.000 0.000 999.000 999.000
ITPSF3 -0.276 0.218 -1.267 0.205
ITPSF4 0.662 0.154 4.289 0.000
ITCOMP WITH
ITCONN 0.635 0.067 9.449 0.000
MOD 0.591 0.069 8.553 0.000
ITPSF 0.390 0.090 4.328 0.000
NU11 0.000 0.000 999.000 999.000
NU12 0.000 0.000 999.000 999.000
NU13 0.000 0.000 999.000 999.000
NU21 0.000 0.000 999.000 999.000
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITCONN WITH
MOD 0.592 0.071 8.353 0.000
ITPSF 0.496 0.079 6.272 0.000
NU11 0.000 0.000 999.000 999.000
NU12 0.000 0.000 999.000 999.000
NU13 0.000 0.000 999.000 999.000
NU21 0.000 0.000 999.000 999.000
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
MOD WITH
ITPSF 0.593 0.067 8.914 0.000
NU11 0.000 0.000 999.000 999.000
NU12 0.000 0.000 999.000 999.000
NU13 0.000 0.000 999.000 999.000
NU21 0.000 0.000 999.000 999.000
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
NU11 WITH
NU12 0.000 0.000 999.000 999.000
NU13 0.000 0.000 999.000 999.000
NU21 0.000 0.000 999.000 999.000
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU12 WITH
NU13 0.000 0.000 999.000 999.000
NU21 0.000 0.000 999.000 999.000
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU13 WITH
NU21 0.000 0.000 999.000 999.000
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU21 WITH
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU22 WITH
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU23 WITH
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU31 WITH
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU32 WITH
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU33 WITH
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU41 WITH
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU42 WITH
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
ITPSF WITH
NU43 0.000 0.000 999.000 999.000
Intercepts
ITCOMP1 2.628 0.211 12.453 0.000
ITCOMP2 3.103 0.241 12.869 0.000
ITCOMP3 3.219 0.249 12.948 0.000
ITCOMP4 3.469 0.265 13.095 0.000
ITCONN1 4.367 0.325 13.454 0.000
ITCONN2 3.843 0.290 13.272 0.000
ITCONN3 2.580 0.208 12.401 0.000
ITCONN4 3.295 0.254 12.996 0.000
MOD1 3.246 0.250 12.965 0.000
MOD2 2.861 0.226 12.678 0.000
MOD3 3.139 0.243 12.894 0.000
MOD4 3.462 0.264 13.092 0.000
ITPSF1 3.586 0.273 13.156 0.000
ITPSF2 3.898 0.293 13.294 0.000
ITPSF3 3.945 0.296 13.313 0.000
ITPSF4 4.190 0.313 13.399 0.000
Variances
ITCOMP 1.000 0.000 999.000 999.000
NU11 1.000 0.000 999.000 999.000
NU12 1.000 0.000 999.000 999.000
NU13 1.000 0.000 999.000 999.000
ITCONN 1.000 0.000 999.000 999.000
NU21 1.000 0.000 999.000 999.000
NU22 1.000 0.000 999.000 999.000
NU23 1.000 0.000 999.000 999.000
MOD 1.000 0.000 999.000 999.000
NU31 1.000 0.000 999.000 999.000
NU32 1.000 0.000 999.000 999.000
NU33 1.000 0.000 999.000 999.000
ITPSF 1.000 0.000 999.000 999.000
NU41 1.000 0.000 999.000 999.000
NU42 1.000 0.000 999.000 999.000
NU43 1.000 0.000 999.000 999.000
Residual Variances
ITCOMP1 0.000 999.000 999.000 999.000
ITCOMP2 0.000 999.000 999.000 999.000
ITCOMP3 0.000 999.000 999.000 999.000
ITCOMP4 0.000 999.000 999.000 999.000
ITCONN1 0.000 999.000 999.000 999.000
ITCONN2 0.000 999.000 999.000 999.000
ITCONN3 0.000 999.000 999.000 999.000
ITCONN4 0.000 999.000 999.000 999.000
MOD1 0.000 999.000 999.000 999.000
MOD2 0.000 999.000 999.000 999.000
MOD3 0.000 999.000 999.000 999.000
MOD4 0.000 999.000 999.000 999.000
ITPSF1 0.000 999.000 999.000 999.000
ITPSF2 0.000 999.000 999.000 999.000
ITPSF3 0.000 999.000 999.000 999.000
ITPSF4 0.000 999.000 999.000 999.000
STDY Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
ITCOMP BY
ITCOMP1 0.594 0.118 5.030 0.000
ITCOMP2 0.668 0.101 6.600 0.000
ITCOMP3 0.949 0.041 23.187 0.000
ITCOMP4 0.674 0.100 6.721 0.000
NU11 BY
ITCOMP1 0.805 0.087 9.233 0.000
ITCOMP2 0.074 0.122 0.608 0.543
ITCOMP3 -0.250 0.119 -2.088 0.037
ITCOMP4 -0.042 0.133 -0.315 0.753
NU12 BY
ITCOMP1 0.000 0.000 999.000 999.000
ITCOMP2 0.741 0.086 8.579 0.000
ITCOMP3 -0.032 0.134 -0.237 0.813
ITCOMP4 0.052 0.127 0.409 0.683
NU13 BY
ITCOMP1 0.000 0.000 999.000 999.000
ITCOMP2 0.000 0.000 999.000 999.000
ITCOMP3 -0.189 0.135 -1.400 0.161
ITCOMP4 0.736 0.091 8.070 0.000
ITCONN BY
ITCONN1 0.471 0.125 3.759 0.000
ITCONN2 0.724 0.088 8.188 0.000
ITCONN3 0.921 0.044 20.718 0.000
ITCONN4 0.660 0.119 5.566 0.000
NU21 BY
ITCONN1 0.882 0.067 13.214 0.000
ITCONN2 0.126 0.115 1.101 0.271
ITCONN3 -0.173 0.113 -1.531 0.126
ITCONN4 -0.260 0.107 -2.426 0.015
NU22 BY
ITCONN1 0.000 0.000 999.000 999.000
ITCONN2 -0.678 0.085 -7.947 0.000
ITCONN3 0.237 0.122 1.950 0.051
ITCONN4 0.070 0.133 0.528 0.598
NU23 BY
ITCONN1 0.000 0.000 999.000 999.000
ITCONN2 0.000 0.000 999.000 999.000
ITCONN3 -0.255 0.168 -1.523 0.128
ITCONN4 0.701 0.126 5.564 0.000
MOD BY
MOD1 0.620 0.098 6.296 0.000
MOD2 0.784 0.073 10.799 0.000
MOD3 0.751 0.079 9.472 0.000
MOD4 0.754 0.078 9.691 0.000
NU31 BY
MOD1 0.785 0.078 10.091 0.000
MOD2 -0.027 0.111 -0.241 0.810
MOD3 -0.079 0.111 -0.711 0.477
MOD4 -0.221 0.107 -2.060 0.039
NU32 BY
MOD1 0.000 0.000 999.000 999.000
MOD2 0.620 0.094 6.619 0.000
MOD3 0.053 0.132 0.399 0.690
MOD4 -0.568 0.110 -5.152 0.000
NU33 BY
MOD1 0.000 0.000 999.000 999.000
MOD2 0.000 0.000 999.000 999.000
MOD3 -0.654 0.090 -7.298 0.000
MOD4 0.244 0.169 1.447 0.148
ITPSF BY
ITPSF1 0.829 0.080 10.393 0.000
ITPSF2 0.576 0.128 4.496 0.000
ITPSF3 0.779 0.090 8.670 0.000
ITPSF4 0.670 0.112 5.985 0.000
NU41 BY
ITPSF1 0.560 0.118 4.746 0.000
ITPSF2 0.140 0.191 0.734 0.463
ITPSF3 -0.548 0.129 -4.242 0.000
ITPSF4 -0.326 0.169 -1.930 0.054
NU42 BY
ITPSF1 0.000 0.000 999.000 999.000
ITPSF2 -0.805 0.069 -11.668 0.000
ITPSF3 0.128 0.218 0.585 0.559
ITPSF4 -0.085 0.173 -0.489 0.625
NU43 BY
ITPSF1 0.000 0.000 999.000 999.000
ITPSF2 0.000 0.000 999.000 999.000
ITPSF3 -0.276 0.218 -1.267 0.205
ITPSF4 0.662 0.154 4.289 0.000
ITCOMP WITH
ITCONN 0.635 0.067 9.449 0.000
MOD 0.591 0.069 8.553 0.000
ITPSF 0.390 0.090 4.328 0.000
NU11 0.000 0.000 999.000 999.000
NU12 0.000 0.000 999.000 999.000
NU13 0.000 0.000 999.000 999.000
NU21 0.000 0.000 999.000 999.000
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITCONN WITH
MOD 0.592 0.071 8.353 0.000
ITPSF 0.496 0.079 6.272 0.000
NU11 0.000 0.000 999.000 999.000
NU12 0.000 0.000 999.000 999.000
NU13 0.000 0.000 999.000 999.000
NU21 0.000 0.000 999.000 999.000
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
MOD WITH
ITPSF 0.593 0.067 8.914 0.000
NU11 0.000 0.000 999.000 999.000
NU12 0.000 0.000 999.000 999.000
NU13 0.000 0.000 999.000 999.000
NU21 0.000 0.000 999.000 999.000
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
NU11 WITH
NU12 0.000 0.000 999.000 999.000
NU13 0.000 0.000 999.000 999.000
NU21 0.000 0.000 999.000 999.000
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU12 WITH
NU13 0.000 0.000 999.000 999.000
NU21 0.000 0.000 999.000 999.000
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU13 WITH
NU21 0.000 0.000 999.000 999.000
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU21 WITH
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU22 WITH
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU23 WITH
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU31 WITH
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU32 WITH
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU33 WITH
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU41 WITH
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU42 WITH
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
ITPSF WITH
NU43 0.000 0.000 999.000 999.000
Intercepts
ITCOMP1 2.628 0.211 12.453 0.000
ITCOMP2 3.103 0.241 12.869 0.000
ITCOMP3 3.219 0.249 12.948 0.000
ITCOMP4 3.469 0.265 13.095 0.000
ITCONN1 4.367 0.325 13.454 0.000
ITCONN2 3.843 0.290 13.272 0.000
ITCONN3 2.580 0.208 12.401 0.000
ITCONN4 3.295 0.254 12.996 0.000
MOD1 3.246 0.250 12.965 0.000
MOD2 2.861 0.226 12.678 0.000
MOD3 3.139 0.243 12.894 0.000
MOD4 3.462 0.264 13.092 0.000
ITPSF1 3.586 0.273 13.156 0.000
ITPSF2 3.898 0.293 13.294 0.000
ITPSF3 3.945 0.296 13.313 0.000
ITPSF4 4.190 0.313 13.399 0.000
Variances
ITCOMP 1.000 0.000 999.000 999.000
NU11 1.000 0.000 999.000 999.000
NU12 1.000 0.000 999.000 999.000
NU13 1.000 0.000 999.000 999.000
ITCONN 1.000 0.000 999.000 999.000
NU21 1.000 0.000 999.000 999.000
NU22 1.000 0.000 999.000 999.000
NU23 1.000 0.000 999.000 999.000
MOD 1.000 0.000 999.000 999.000
NU31 1.000 0.000 999.000 999.000
NU32 1.000 0.000 999.000 999.000
NU33 1.000 0.000 999.000 999.000
ITPSF 1.000 0.000 999.000 999.000
NU41 1.000 0.000 999.000 999.000
NU42 1.000 0.000 999.000 999.000
NU43 1.000 0.000 999.000 999.000
Residual Variances
ITCOMP1 999.000 999.000 999.000 999.000
ITCOMP2 999.000 999.000 999.000 999.000
ITCOMP3 999.000 999.000 999.000 999.000
ITCOMP4 999.000 999.000 999.000 999.000
ITCONN1 999.000 999.000 999.000 999.000
ITCONN2 999.000 999.000 999.000 999.000
ITCONN3 999.000 999.000 999.000 999.000
ITCONN4 999.000 999.000 999.000 999.000
MOD1 999.000 999.000 999.000 999.000
MOD2 999.000 999.000 999.000 999.000
MOD3 999.000 999.000 999.000 999.000
MOD4 999.000 999.000 999.000 999.000
ITPSF1 999.000 999.000 999.000 999.000
ITPSF2 999.000 999.000 999.000 999.000
ITPSF3 999.000 999.000 999.000 999.000
ITPSF4 999.000 999.000 999.000 999.000
STD Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
ITCOMP BY
ITCOMP1 0.721 0.163 4.428 0.000
ITCOMP2 0.794 0.145 5.464 0.000
ITCOMP3 1.065 0.094 11.286 0.000
ITCOMP4 0.690 0.125 5.539 0.000
NU11 BY
ITCOMP1 0.977 0.112 8.702 0.000
ITCOMP2 0.088 0.146 0.607 0.544
ITCOMP3 -0.280 0.133 -2.105 0.035
ITCOMP4 -0.043 0.136 -0.315 0.753
NU12 BY
ITCOMP1 0.000 0.000 999.000 999.000
ITCOMP2 0.881 0.104 8.430 0.000
ITCOMP3 -0.036 0.151 -0.237 0.813
ITCOMP4 0.053 0.130 0.408 0.683
NU13 BY
ITCOMP1 0.000 0.000 999.000 999.000
ITCOMP2 0.000 0.000 999.000 999.000
ITCOMP3 -0.212 0.151 -1.407 0.159
ITCOMP4 0.753 0.095 7.963 0.000
ITCONN BY
ITCONN1 0.464 0.134 3.460 0.001
ITCONN2 0.765 0.120 6.365 0.000
ITCONN3 1.300 0.122 10.635 0.000
ITCONN4 0.695 0.144 4.827 0.000
NU21 BY
ITCONN1 0.871 0.080 10.839 0.000
ITCONN2 0.134 0.122 1.098 0.272
ITCONN3 -0.244 0.159 -1.535 0.125
ITCONN4 -0.274 0.115 -2.387 0.017
NU22 BY
ITCONN1 0.000 0.000 999.000 999.000
ITCONN2 -0.717 0.089 -8.049 0.000
ITCONN3 0.334 0.170 1.962 0.050
ITCONN4 0.074 0.141 0.528 0.598
NU23 BY
ITCONN1 0.000 0.000 999.000 999.000
ITCONN2 0.000 0.000 999.000 999.000
ITCONN3 -0.360 0.235 -1.530 0.126
ITCONN4 0.738 0.133 5.571 0.000
MOD BY
MOD1 0.665 0.127 5.243 0.000
MOD2 0.888 0.117 7.576 0.000
MOD3 0.751 0.108 6.983 0.000
MOD4 0.721 0.102 7.078 0.000
NU31 BY
MOD1 0.841 0.088 9.544 0.000
MOD2 -0.030 0.126 -0.241 0.810
MOD3 -0.079 0.111 -0.710 0.478
MOD4 -0.212 0.103 -2.046 0.041
NU32 BY
MOD1 0.000 0.000 999.000 999.000
MOD2 0.702 0.103 6.794 0.000
MOD3 0.053 0.133 0.399 0.690
MOD4 -0.543 0.105 -5.192 0.000
NU33 BY
MOD1 0.000 0.000 999.000 999.000
MOD2 0.000 0.000 999.000 999.000
MOD3 -0.654 0.088 -7.444 0.000
MOD4 0.234 0.161 1.454 0.146
ITPSF BY
ITPSF1 0.816 0.108 7.583 0.000
ITPSF2 0.533 0.132 4.044 0.000
ITPSF3 0.707 0.105 6.707 0.000
ITPSF4 0.619 0.121 5.101 0.000
NU41 BY
ITPSF1 0.551 0.114 4.849 0.000
ITPSF2 0.130 0.177 0.733 0.464
ITPSF3 -0.497 0.117 -4.248 0.000
ITPSF4 -0.301 0.157 -1.913 0.056
NU42 BY
ITPSF1 0.000 0.000 999.000 999.000
ITPSF2 -0.746 0.070 -10.641 0.000
ITPSF3 0.116 0.198 0.585 0.559
ITPSF4 -0.078 0.160 -0.489 0.625
NU43 BY
ITPSF1 0.000 0.000 999.000 999.000
ITPSF2 0.000 0.000 999.000 999.000
ITPSF3 -0.250 0.197 -1.271 0.204
ITPSF4 0.611 0.142 4.314 0.000
ITCOMP WITH
ITCONN 0.635 0.067 9.449 0.000
MOD 0.591 0.069 8.553 0.000
ITPSF 0.390 0.090 4.328 0.000
NU11 0.000 0.000 999.000 999.000
NU12 0.000 0.000 999.000 999.000
NU13 0.000 0.000 999.000 999.000
NU21 0.000 0.000 999.000 999.000
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITCONN WITH
MOD 0.592 0.071 8.353 0.000
ITPSF 0.496 0.079 6.272 0.000
NU11 0.000 0.000 999.000 999.000
NU12 0.000 0.000 999.000 999.000
NU13 0.000 0.000 999.000 999.000
NU21 0.000 0.000 999.000 999.000
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
MOD WITH
ITPSF 0.593 0.067 8.914 0.000
NU11 0.000 0.000 999.000 999.000
NU12 0.000 0.000 999.000 999.000
NU13 0.000 0.000 999.000 999.000
NU21 0.000 0.000 999.000 999.000
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
NU11 WITH
NU12 0.000 0.000 999.000 999.000
NU13 0.000 0.000 999.000 999.000
NU21 0.000 0.000 999.000 999.000
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU12 WITH
NU13 0.000 0.000 999.000 999.000
NU21 0.000 0.000 999.000 999.000
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU13 WITH
NU21 0.000 0.000 999.000 999.000
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU21 WITH
NU22 0.000 0.000 999.000 999.000
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU22 WITH
NU23 0.000 0.000 999.000 999.000
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU23 WITH
NU31 0.000 0.000 999.000 999.000
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU31 WITH
NU32 0.000 0.000 999.000 999.000
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU32 WITH
NU33 0.000 0.000 999.000 999.000
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU33 WITH
NU41 0.000 0.000 999.000 999.000
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU41 WITH
NU42 0.000 0.000 999.000 999.000
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
NU42 WITH
NU43 0.000 0.000 999.000 999.000
ITPSF 0.000 0.000 999.000 999.000
ITPSF WITH
NU43 0.000 0.000 999.000 999.000
Intercepts
ITCOMP1 3.190 0.121 26.276 0.000
ITCOMP2 3.690 0.119 31.033 0.000
ITCOMP3 3.610 0.112 32.187 0.000
ITCOMP4 3.550 0.102 34.686 0.000
ITCONN1 4.310 0.099 43.674 0.000
ITCONN2 4.060 0.106 38.425 0.000
ITCONN3 3.640 0.141 25.801 0.000
ITCONN4 3.470 0.105 32.949 0.000
MOD1 3.480 0.107 32.457 0.000
MOD2 3.240 0.113 28.611 0.000
MOD3 3.140 0.100 31.394 0.000
MOD4 3.310 0.096 34.624 0.000
ITPSF1 3.530 0.098 35.858 0.000
ITPSF2 3.610 0.093 38.975 0.000
ITPSF3 3.580 0.091 39.448 0.000
ITPSF4 3.870 0.092 41.900 0.000
Variances
ITCOMP 1.000 0.000 999.000 999.000
NU11 1.000 0.000 999.000 999.000
NU12 1.000 0.000 999.000 999.000
NU13 1.000 0.000 999.000 999.000
ITCONN 1.000 0.000 999.000 999.000
NU21 1.000 0.000 999.000 999.000
NU22 1.000 0.000 999.000 999.000
NU23 1.000 0.000 999.000 999.000
MOD 1.000 0.000 999.000 999.000
NU31 1.000 0.000 999.000 999.000
NU32 1.000 0.000 999.000 999.000
NU33 1.000 0.000 999.000 999.000
ITPSF 1.000 0.000 999.000 999.000
NU41 1.000 0.000 999.000 999.000
NU42 1.000 0.000 999.000 999.000
NU43 1.000 0.000 999.000 999.000
Residual Variances
ITCOMP1 999.000 999.000 999.000 999.000
ITCOMP2 999.000 999.000 999.000 999.000
ITCOMP3 999.000 999.000 999.000 999.000
ITCOMP4 999.000 999.000 999.000 999.000
ITCONN1 999.000 999.000 999.000 999.000
ITCONN2 999.000 999.000 999.000 999.000
ITCONN3 999.000 999.000 999.000 999.000
ITCONN4 999.000 999.000 999.000 999.000
MOD1 999.000 999.000 999.000 999.000
MOD2 999.000 999.000 999.000 999.000
MOD3 999.000 999.000 999.000 999.000
MOD4 999.000 999.000 999.000 999.000
ITPSF1 999.000 999.000 999.000 999.000
ITPSF2 999.000 999.000 999.000 999.000
ITPSF3 999.000 999.000 999.000 999.000
ITPSF4 999.000 999.000 999.000 999.000
R-SQUARE
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
ITCOMP1 1.000 999.000 999.000 999.000
ITCOMP2 1.000 999.000 999.000 999.000
ITCOMP3 1.000 999.000 999.000 999.000
ITCOMP4 1.000 999.000 999.000 999.000
ITCONN1 1.000 999.000 999.000 999.000
ITCONN2 1.000 999.000 999.000 999.000
ITCONN3 1.000 999.000 999.000 999.000
ITCONN4 1.000 999.000 999.000 999.000
MOD1 1.000 999.000 999.000 999.000
MOD2 1.000 999.000 999.000 999.000
MOD3 1.000 999.000 999.000 999.000
MOD4 1.000 999.000 999.000 999.000
ITPSF1 1.000 999.000 999.000 999.000
ITPSF2 1.000 999.000 999.000 999.000
ITPSF3 1.000 999.000 999.000 999.000
ITPSF4 1.000 999.000 999.000 999.000
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:\users\schuberthf\dropbox\website\cca\tutorials\mplus\itflexcca.dgm
Beginning Time: 09:15:15
Ending Time: 09:15:15
Elapsed Time: 00:00:00
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Tel: (310) 391-9971
Fax: (310) 391-8971
Web: www.StatModel.com
Support: Support@StatModel.com
Copyright (c) 1998-2021 Muthen & Muthen
References:
Benitez, J., Ray, G., & Henseler, J. (2018). Impact of information technology infrastructure flexibility on mergers and acquisitions. MIS Quarterly, 42(1), 25–43, https://doi.org/10.25300/MISQ/2018/13245.
Henseler, J., & Schuberth, F. (2021). Confirmatory composite analysis. In J. Henseler (Ed.), Composite-based Structural Equation Modeling: Analyzing Latent and Emergent Variables (pp. 179–201). The Guilford Press.
Schuberth, F. (2022). The Henseler–Ogasawara specification of composites in structural equation modeling: A tutorial. Psychological Methods, in press https://doi.org/10.1037/met0000432.