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Group 1: Testing Moderating Effects (grupo Bajo)
Number of Iterations = 14
LISREL Estimates (Maximum Likelihood)
LAMBDA-Y EQUALS LAMBDA-Y IN THE FOLLOWING GROUP
LAMBDA-X EQUALS LAMBDA-X IN THE FOLLOWING GROUP
BETA EQUALS BETA IN THE FOLLOWING GROUP
GAMMA EQUALS GAMMA IN THE FOLLOWING GROUP
Covariance Matrix of ETA and KSI
AMENPERC AUTOEFIC PPFARM SUSCPERC BENCONSA
-------- -------- -------- -------- --------
AMENPERC 10.86
AUTOEFIC -3.43 4.38
PPFARM -2.95 2.73 12.55
SUSCPERC 4.91 -1.55 -1.57 3.28
BENCONSA -2.36 0.74 2.58 -1.57 4.73
PHI EQUALS PHI IN THE FOLLOWING GROUP
PSI EQUALS PSI IN THE FOLLOWING GROUP
THETA-EPS EQUALS THETA-EPS IN THE FOLLOWING GROUP
Group Goodness of Fit Statistics
Contribution to Chi-Square = 1089.58
Percentage Contribution to Chi-Square = 66.06
Root Mean Square Residual (RMR) = 2.73
Standardized RMR = 0.22
Goodness of Fit Index (GFI) = 0.53
Group 1: Testing Moderating Effects (grupo Bajo)
Fitted Covariance Matrix
P9_3 P9_5 P9_6 P9_7 P9_13 P9_18
-------- -------- -------- -------- -------- --------
P9_3 19.18
P9_5 4.03 3.32
P9_6 -3.72 -1.27 8.46
P9_7 -4.37 -1.49 5.56 13.40
P9_13 -5.15 -1.75 6.56 7.70 12.84
P9_18 7.20 2.45 -2.26 -2.66 -3.13 5.56
P9_19 -5.63 -1.92 7.17 8.42 9.93 -3.43
P11_3 4.48 1.53 -1.95 -2.29 -2.70 2.73
P11_4 3.25 1.11 -1.41 -1.66 -1.96 1.98
P11_5 2.36 0.80 -1.02 -1.20 -1.42 1.43
P9_12 -2.55 -0.87 3.24 3.81 4.49 -1.55
P9_16 1.22 0.42 -1.56 -1.83 -2.15 0.74
P9_17 1.12 0.38 -1.43 -1.68 -1.98 0.68
P9_20 1.36 0.46 -1.73 -2.03 -2.40 0.83
P9_21 -3.42 -1.16 4.35 5.11 6.02 -2.08
Fitted Covariance Matrix
P9_19 P11_3 P11_4 P11_5 P9_12 P9_16
-------- -------- -------- -------- -------- --------
P9_19 15.72
P11_3 -2.95 23.26
P11_4 -2.14 9.10 7.31
P11_5 -1.55 6.60 4.79 9.71
P9_12 4.91 -1.57 -1.14 -0.82 5.20
P9_16 -2.36 2.58 1.87 1.36 -1.57 9.86
P9_17 -2.16 2.36 1.71 1.24 -1.44 4.34
P9_20 -2.62 2.87 2.08 1.51 -1.75 5.27
P9_21 6.59 -2.10 -1.52 -1.11 4.40 -2.11
Fitted Covariance Matrix
P9_17 P9_20 P9_21
-------- -------- --------
P9_17 6.42
P9_20 4.84 8.66
P9_21 -1.94 -2.35 9.59
Fitted Residuals
P9_3 P9_5 P9_6 P9_7 P9_13 P9_18
-------- -------- -------- -------- -------- --------
P9_3 -16.12
P9_5 -2.01 0.04
P9_6 1.86 0.80 0.11
P9_7 1.93 -0.35 1.13 0.99
P9_13 3.25 0.66 -1.79 -1.80 -5.44
P9_18 -5.83 -1.25 1.07 1.03 1.76 -4.10
P9_19 3.96 1.00 -2.57 -2.83 -5.37 1.93
P11_3 -4.14 -1.09 2.13 2.57 2.11 -1.77
P11_4 -3.16 -0.73 1.33 1.13 1.06 -1.68
P11_5 -2.03 -0.23 0.13 -0.04 0.52 -0.97
P9_12 1.10 -0.13 -1.17 -0.31 -2.16 0.46
P9_16 -0.77 0.47 0.50 0.06 0.38 0.02
P9_17 -0.25 0.60 -0.03 -0.15 -0.21 0.32
P9_20 -0.73 0.25 0.98 0.68 0.89 0.11
P9_21 1.08 -0.40 0.67 1.06 -1.89 0.27
Fitted Residuals
P9_19 P11_3 P11_4 P11_5 P9_12 P9_16
-------- -------- -------- -------- -------- --------
P9_19 -8.99
P11_3 3.13 -9.77
P11_4 1.74 -5.58 -5.15
P11_5 1.11 -1.94 -2.30 -3.62
P9_12 -2.51 1.23 0.70 -0.26 -1.42
P9_16 0.83 -1.43 -1.47 -0.69 0.60 -6.12
P9_17 0.36 1.17 -1.24 -0.57 0.39 -1.32
P9_20 0.61 -0.80 -1.76 -0.67 0.84 -2.87
P9_21 -2.26 0.78 0.52 -0.61 -0.49 0.29
Fitted Residuals
P9_17 P9_20 P9_21
-------- -------- --------
P9_17 -0.30
P9_20 -1.33 -4.63
P9_21 -0.42 1.15 1.14
Group 2: Testing Moderating Effects (grupo Alto)
Number of Iterations = 14
LISREL Estimates (Maximum Likelihood)
LAMBDA-Y
AMENPERC AUTOEFIC PPFARM
-------- -------- --------
P9_3 - - 1.64 - -
(0.11)
14.42
P9_5 - - 0.56 - -
(0.05)
11.99
P9_6 0.66 - - - -
(0.04)
15.32
P9_7 0.78 - - - -
(0.06)
14.00
P9_13 0.91 - - - -
(0.05)
17.80
P9_18 - - 1.00 - -
P9_19 1.00 - - - -
P11_3 - - - - 1.00
P11_4 - - - - 0.73
(0.06)
12.91
P11_5 - - - - 0.53
(0.05)
10.92
LAMBDA-X
SUSCPERC BENCONSA
-------- --------
P9_12 1.00 - -
P9_16 - - 1.00
P9_17 - - 0.92
(0.08)
12.04
P9_20 - - 1.11
(0.09)
12.14
P9_21 1.34 - -
(0.10)
13.34
BETA
AMENPERC AUTOEFIC PPFARM
-------- -------- --------
AMENPERC - - - - - -
AUTOEFIC -0.32 - - - -
(0.04)
-8.39
PPFARM - - 0.54 - -
(0.10)
5.25
GAMMA
SUSCPERC BENCONSA
-------- --------
AMENPERC 1.50 - -
(0.12)
12.11
AUTOEFIC - - - -
PPFARM - - 0.46
(0.10)
4.51
Covariance Matrix of ETA and KSI
AMENPERC AUTOEFIC PPFARM SUSCPERC BENCONSA
-------- -------- -------- -------- --------
AMENPERC 10.86
AUTOEFIC -3.43 4.38
PPFARM -2.95 2.73 12.55
SUSCPERC 4.91 -1.55 -1.57 3.28
BENCONSA -2.36 0.74 2.58 -1.57 4.73
PHI
SUSCPERC BENCONSA
-------- --------
SUSCPERC 3.28
(0.41)
8.01
BENCONSA -1.57 4.73
(0.29) (0.70)
-5.39 6.75
PSI
Note: This matrix is diagonal.
AMENPERC AUTOEFIC PPFARM
-------- -------- --------
3.51 3.30 9.88
(0.61) (0.38) (1.36)
5.72 8.65 7.27
Squared Multiple Correlations for Structural Equations
AMENPERC AUTOEFIC PPFARM
-------- -------- --------
0.68 0.25 0.21
Squared Multiple Correlations for Reduced Form
AMENPERC AUTOEFIC PPFARM
-------- -------- --------
0.68 0.17 0.13
Reduced Form
SUSCPERC BENCONSA
-------- --------
AMENPERC 1.50 - -
(0.12)
12.11
AUTOEFIC -0.47 - -
(0.06)
-7.47
PPFARM -0.26 0.46
(0.06) (0.10)
-4.41 4.51
THETA-EPS
P9_3 P9_5 P9_6 P9_7 P9_13 P9_18
-------- -------- -------- -------- -------- --------
7.35 1.95 3.72 6.87 3.76 1.18
(0.84) (0.17) (0.33) (0.59) (0.41) (0.24)
8.79 11.59 11.12 11.66 9.19 4.87
THETA-EPS
P9_19 P11_3 P11_4 P11_5
-------- -------- -------- --------
4.85 10.71 0.71 6.24
(0.51) (1.10) (0.39) (0.52)
9.48 9.71 1.82 12.00
Global Goodness of Fit Statistics
Degrees of Freedom = 205
Minimum Fit Function Chi-Square = 1649.36 (P = 0.0)
Normal Theory Weighted Least Squares Chi-Square = 1423.65 (P = 0.0)
Estimated Non-centrality Parameter (NCP) = 1218.65
90 Percent Confidence Interval for NCP = (1102.77 ; 1341.99)
Minimum Fit Function Value = 4.73
Population Discrepancy Function Value (F0) = 3.49
90 Percent Confidence Interval for F0 = (3.16 ; 3.85)
Root Mean Square Error of Approximation (RMSEA) = 0.18
90 Percent Confidence Interval for RMSEA = (0.18 ; 0.19)
P-Value for Test of Close Fit (RMSEA < 0.05) = 0.00
Expected Cross-Validation Index (ECVI) = 4.28
90 Percent Confidence Interval for ECVI = (3.95 ; 4.63)
ECVI for Saturated Model = 0.69
ECVI for Independence Model = 13.88
Chi-Square for Independence Model with 210 Degrees of Freedom = 4813.28
Independence AIC = 4873.28
Model AIC = 1493.65
Saturated AIC = 480.00
Independence CAIC = 5019.10
Model CAIC = 1663.77
Saturated CAIC = 1646.59
Normed Fit Index (NFI) = 0.66
Non-Normed Fit Index (NNFI) = 0.68
Parsimony Normed Fit Index (PNFI) = 0.64
Comparative Fit Index (CFI) = 0.69
Incremental Fit Index (IFI) = 0.69
Relative Fit Index (RFI) = 0.65
Critical N (CN) = 54.96
Group Goodness of Fit Statistics
Contribution to Chi-Square = 559.78
Percentage Contribution to Chi-Square = 33.94
Root Mean Square Residual (RMR) = 4.12
Standardized RMR = 0.35
Goodness of Fit Index (GFI) = 0.69
Group 2: Testing Moderating Effects (grupo Alto)
Fitted Covariance Matrix
P9_3 P9_5 P9_6 P9_7 P9_13 P9_18
-------- -------- -------- -------- -------- --------
P9_3 19.18
P9_5 4.03 3.32
P9_6 -3.72 -1.27 8.46
P9_7 -4.37 -1.49 5.56 13.40
P9_13 -5.15 -1.75 6.56 7.70 12.84
P9_18 7.20 2.45 -2.26 -2.66 -3.13 5.56
P9_19 -5.63 -1.92 7.17 8.42 9.93 -3.43
P11_3 4.48 1.53 -1.95 -2.29 -2.70 2.73
P11_4 3.25 1.11 -1.41 -1.66 -1.96 1.98
P11_5 2.36 0.80 -1.02 -1.20 -1.42 1.43
P9_12 -2.55 -0.87 3.24 3.81 4.49 -1.55
P9_16 1.22 0.42 -1.56 -1.83 -2.15 0.74
P9_17 1.12 0.38 -1.43 -1.68 -1.98 0.68
P9_20 1.36 0.46 -1.73 -2.03 -2.40 0.83
P9_21 -3.42 -1.16 4.35 5.11 6.02 -2.08
Fitted Covariance Matrix
P9_19 P11_3 P11_4 P11_5 P9_12 P9_16
-------- -------- -------- -------- -------- --------
P9_19 15.72
P11_3 -2.95 23.26
P11_4 -2.14 9.10 7.31
P11_5 -1.55 6.60 4.79 9.71
P9_12 4.91 -1.57 -1.14 -0.82 5.20
P9_16 -2.36 2.58 1.87 1.36 -1.57 9.86
P9_17 -2.16 2.36 1.71 1.24 -1.44 4.34
P9_20 -2.62 2.87 2.08 1.51 -1.75 5.27
P9_21 6.59 -2.10 -1.52 -1.11 4.40 -2.11
Fitted Covariance Matrix
P9_17 P9_20 P9_21
-------- -------- --------
P9_17 6.42
P9_20 4.84 8.66
P9_21 -1.94 -2.35 9.59
Fitted Residuals
P9_3 P9_5 P9_6 P9_7 P9_13 P9_18
-------- -------- -------- -------- -------- --------
P9_3 21.89
P9_5 2.56 -0.06
P9_6 -4.61 -0.29 -0.15
P9_7 -3.62 -0.13 0.38 -1.34
P9_13 -4.23 -1.39 2.09 1.81 7.39
P9_18 7.83 1.74 -1.30 -0.85 -1.58 5.57
P9_19 -4.59 -1.29 3.12 1.87 8.91 -1.44
P11_3 5.80 1.11 2.72 3.12 1.89 4.58
P11_4 5.97 0.90 1.37 -0.25 0.60 3.69
P11_5 4.02 1.32 0.17 -1.91 -1.67 3.49
P9_12 -4.47 -1.05 0.73 1.33 2.47 -2.21
P9_16 3.77 1.09 0.91 -0.79 0.78 4.26
P9_17 2.94 1.02 1.10 1.13 1.12 3.07
P9_20 7.15 1.43 -0.08 0.14 -1.44 4.80
P9_21 -3.19 -1.30 0.02 0.38 1.27 -1.72
Fitted Residuals
P9_19 P11_3 P11_4 P11_5 P9_12 P9_16
-------- -------- -------- -------- -------- --------
P9_19 12.21
P11_3 3.16 14.48
P11_4 1.33 8.52 7.64
P11_5 -2.60 1.70 3.67 5.25
P9_12 3.31 2.25 0.87 -1.70 1.92
P9_16 -2.20 5.08 1.79 1.09 -0.83 8.31
P9_17 -0.89 4.97 2.73 1.58 -0.54 1.97
P9_20 -4.09 4.69 4.16 3.15 -1.87 3.89
P9_21 2.51 2.32 0.52 -0.89 0.69 -0.18
Fitted Residuals
P9_17 P9_20 P9_21
-------- -------- --------
P9_17 0.40
P9_20 1.67 6.29
P9_21 0.46 -0.82 -1.55
> HBMStrmodelMG <- '
+ # measurement model
+ AMENPERC =~ P9.19 + P9.6 + P9.7 + P9.13
+ SUSCPERC =~ P9.12 + P9.21
+ BENCONSA =~ P9.16 + P9.17 + P9.20
+ AUTOEFIC =~ P9.18 + P9.3 + P9.5
+ PPFARM =~ P11.3 + P11.4 + P11.5
+ # regressions
+ PPFARM ~ BENCONSA + AUTOEFIC
+ AMENPERC ~ SUSCPERC
+ AUTOEFIC ~ AMENPERC
+ '
> fitSR <- sem(HBMStrmodelMG, data = mydataCFAMarta, estimator = "MLM", group = "V1",
+ group.equal=c("loadings", "regressions", "residuals",
+ "residual.covariances", "lv.variances", "lv.covariances"))
> summary(fitSR, fit.measures = TRUE)
lavaan (0.5-15) converged normally after 50 iterations
Number of observations per group
0 202
1 149
Estimator ML Robust
Minimum Function Test Statistic 330.350 292.720
Degrees of freedom 205 205
P-value (Chi-square) 0.000 0.000
Scaling correction factor 1.129
for the Satorra-Bentler correction
Chi-square for each group:
0 160.314 142.053
1 170.036 150.667
Model test baseline model:
Minimum Function Test Statistic 1978.304 1741.841
Degrees of freedom 210 210
P-value 0.000 0.000
User model versus baseline model:
Comparative Fit Index (CFI) 0.929 0.943
Tucker-Lewis Index (TLI) 0.927 0.941
Loglikelihood and Information Criteria:
Loglikelihood user model (H0) -9188.684 -9188.684
Loglikelihood unrestricted model (H1) -9023.509 -9023.509
Number of free parameters 65 65
Akaike (AIC) 18507.367 18507.367
Bayesian (BIC) 18758.318 18758.318
Sample-size adjusted Bayesian (BIC) 18552.114 18552.114
Root Mean Square Error of Approximation:
RMSEA 0.059 0.049
90 Percent Confidence Interval 0.047 0.071 0.037 0.061
P-value RMSEA <= 0.05 0.104 0.523
Standardized Root Mean Square Residual:
SRMR 0.091 0.091
Parameter estimates:
Information Expected
Standard Errors Robust.sem
Group 1 [0]:
Estimate Std.err Z-value P(>|z|)
Latent variables:
AMENPERC =~
P9.19 1.000
P9.6 0.885 0.061 14.488 0.000
P9.7 0.801 0.059 13.526 0.000
P9.13 0.899 0.054 16.736 0.000
SUSCPERC =~
P9.12 1.000
P9.21 1.164 0.110 10.585 0.000
BENCONSA =~
P9.16 1.000
P9.17 1.015 0.096 10.561 0.000
P9.20 0.831 0.094 8.853 0.000
AUTOEFIC =~
P9.18 1.000
P9.3 0.877 0.075 11.703 0.000
P9.5 0.987 0.098 10.100 0.000
PPFARM =~
P11.3 1.000
P11.4 0.878 0.120 7.299 0.000
P11.5 0.916 0.152 6.028 0.000
Regressions:
PPFARM ~
BENCONSA 0.125 0.058 2.147 0.032
AUTOEFIC 0.073 0.035 2.096 0.036
AMENPERC ~
SUSCPERC 1.113 0.112 9.930 0.000
AUTOEFIC ~
AMENPERC -0.385 0.049 -7.920 0.000
Covariances:
SUSCPERC ~~
BENCONSA -0.453 0.111 -4.067 0.000
Intercepts:
P9.19 3.376 0.158 21.308 0.000
P9.6 4.223 0.151 27.887 0.000
P9.7 3.149 0.157 20.027 0.000
P9.13 3.272 0.146 22.432 0.000
P9.12 3.045 0.138 22.071 0.000
P9.21 3.926 0.133 29.482 0.000
P9.16 4.827 0.125 38.598 0.000
P9.17 5.743 0.111 51.924 0.000
P9.20 5.851 0.104 56.367 0.000
P9.18 5.436 0.116 46.802 0.000
P9.3 5.698 0.111 51.215 0.000
P9.5 4.129 0.136 30.324 0.000
P11.3 6.059 0.094 64.776 0.000
P11.4 6.559 0.058 112.599 0.000
P11.5 6.089 0.090 67.913 0.000
AMENPERC 0.000
SUSCPERC 0.000
BENCONSA 0.000
AUTOEFIC 0.000
PPFARM 0.000
Variances:
P9.19 1.884 0.244
P9.6 2.068 0.264
P9.7 2.654 0.298
P9.13 1.805 0.217
P9.12 1.889 0.223
P9.21 1.319 0.192
P9.16 1.855 0.264
P9.17 0.828 0.138
P9.20 0.827 0.191
P9.18 1.041 0.160
P9.3 1.146 0.148
P9.5 2.116 0.192
P11.3 0.935 0.116
P11.4 0.133 0.050
P11.5 0.865 0.119
AMENPERC 1.140 0.217
SUSCPERC 1.666 0.268
BENCONSA 1.327 0.209
AUTOEFIC 1.242 0.201
PPFARM 0.536 0.124
Group 2 [1]:
Estimate Std.err Z-value P(>|z|)
Latent variables:
AMENPERC =~
P9.19 1.000
P9.6 0.885 0.061 14.488 0.000
P9.7 0.801 0.059 13.526 0.000
P9.13 0.899 0.054 16.736 0.000
SUSCPERC =~
P9.12 1.000
P9.21 1.164 0.110 10.585 0.000
BENCONSA =~
P9.16 1.000
P9.17 1.015 0.096 10.561 0.000
P9.20 0.831 0.094 8.853 0.000
AUTOEFIC =~
P9.18 1.000
P9.3 0.877 0.075 11.703 0.000
P9.5 0.987 0.098 10.100 0.000
PPFARM =~
P11.3 1.000
P11.4 0.878 0.120 7.299 0.000
P11.5 0.916 0.152 6.028 0.000
Regressions:
PPFARM ~
BENCONSA 0.125 0.058 2.147 0.032
AUTOEFIC 0.073 0.035 2.096 0.036
AMENPERC ~
SUSCPERC 1.113 0.112 9.930 0.000
AUTOEFIC ~
AMENPERC -0.385 0.049 -7.920 0.000
Covariances:
SUSCPERC ~~
BENCONSA -0.453 0.111 -4.067 0.000
Intercepts:
P9.19 3.383 0.187 18.135 0.000
P9.6 3.973 0.175 22.694 0.000
P9.7 3.007 0.172 17.527 0.000
P9.13 3.168 0.175 18.055 0.000
P9.12 2.463 0.147 16.782 0.000
P9.21 3.483 0.156 22.359 0.000
P9.16 5.403 0.148 36.550 0.000
P9.17 6.067 0.111 54.496 0.000
P9.20 6.356 0.089 71.520 0.000
P9.18 5.631 0.138 40.768 0.000
P9.3 5.946 0.128 46.310 0.000
P9.5 4.067 0.162 25.136 0.000
P11.3 6.309 0.089 71.063 0.000
P11.4 6.691 0.054 124.402 0.000
P11.5 6.396 0.081 78.703 0.000
AMENPERC 0.000
SUSCPERC 0.000
BENCONSA 0.000
AUTOEFIC 0.000
PPFARM 0.000
Variances:
P9.19 1.884 0.244
P9.6 2.068 0.264
P9.7 2.654 0.298
P9.13 1.805 0.217
P9.12 1.889 0.223
P9.21 1.319 0.192
P9.16 1.855 0.264
P9.17 0.828 0.138
P9.20 0.827 0.191
P9.18 1.041 0.160
P9.3 1.146 0.148
P9.5 2.116 0.192
P11.3 0.935 0.116
P11.4 0.133 0.050
P11.5 0.865 0.119
AMENPERC 1.140 0.217
SUSCPERC 1.666 0.268
BENCONSA 1.327 0.209
AUTOEFIC 1.242 0.201
PPFARM 0.536 0.124
> fitMeasures(fitSR)
fmin chisq df pvalue
0.471 330.350 205.000 0.000
chisq.scaled df.scaled pvalue.scaled chisq.scaling.factor
292.720 205.000 0.000 1.129
baseline.chisq baseline.df baseline.pvalue baseline.chisq.scaled
1978.304 210.000 0.000 1741.841
baseline.df.scaled baseline.pvalue.scaled baseline.chisq.scaling.factor cfi
210.000 0.000 1.136 0.929
tli nnfi rfi nfi
0.927 0.927 0.829 0.833
pnfi ifi rni cfi.scaled
0.813 0.929 0.929 0.943
tli.scaled nnfi.scaled rfi.scaled nfi.scaled
0.941 0.941 0.828 0.832
ifi.scaled rni.scaled logl unrestricted.logl
0.832 0.950 -9188.684 -9023.509
npar aic bic ntotal
65.000 18507.367 18758.318 351.000
bic2 rmsea rmsea.ci.lower rmsea.ci.upper
18552.114 0.059 0.047 0.071
rmsea.pvalue rmsea.scaled rmsea.ci.lower.scaled rmsea.ci.upper.scaled
0.104 0.049 0.037 0.061
rmsea.pvalue.scaled rmr rmr_nomean srmr
0.523 0.221 0.235 0.091
srmr_nomean cn_05 cn_01 gfi
0.097 255.369 271.965 0.993
agfi pgfi mfi
0.991 0.754 0.836
>