![]()
DATE: 5/21/2014
TIME: 14:23
L I S R E L 9.10 (STUDENT)
BY
Karl G. Jöreskog & Dag Sörbom
This program is published exclusively by
Scientific Software International, Inc.
http://www.ssicentral.com
Copyright by Scientific Software International, Inc., 1981-2012
Use of this program is subject to the terms specified in the
Universal Copyright Convention.
The following lines were read from file C:\Users\Chris\Desktop\CFA\TestEX2.spl:
Observed Variables: i1 i2 i3 i4 i5 i6 i7 i8 i9 i10 i11
Correlation Matrix:
1.000
.484 1.000
.515 .548 1.000
.491 .503 .582 1.000
.316 .486 .452 .468 1.000
.278 .468 .428 .424 .726 1.000
.386 .497 .424 .475 .613 .670 1.000
.380 .489 .546 .559 .441 .425 .430 1.000
.334 .447 .465 .532 .490 .456 .460 .597 1.000
.514 .465 .576 .537 .408 .414 .474 .549 .512 1.000
.331 .437 .463 .473 .476 .503 .484 .507 .496 .471 1.000
Sample Size = 300
Latent Variables: Factor1 Factor2 Factor3
Relationships:
i1 = 1*Factor1
i2 i3 i4 = Factor1
i5 = 1*Factor2
i6 i7 = Factor2
i8 = 1*Factor3
i9 i10 i11 = Factor3
LISREL Output: ME=ML
number of decimals = 3
Admissibility Check = 300
Iterations = 300
path diagram
print residuals
end of problem
Correlation Matrix
i1 i2 i3 i4 i5 i6
-------- -------- -------- -------- -------- --------
i1 1.000
i2 0.484 1.000
i3 0.515 0.548 1.000
i4 0.491 0.503 0.582 1.000
i5 0.316 0.486 0.452 0.468 1.000
i6 0.278 0.468 0.428 0.424 0.726 1.000
i7 0.386 0.497 0.424 0.475 0.613 0.670
i8 0.380 0.489 0.546 0.559 0.441 0.425
i9 0.334 0.447 0.465 0.532 0.490 0.456
i10 0.514 0.465 0.576 0.537 0.408 0.414
i11 0.331 0.437 0.463 0.473 0.476 0.503
Correlation Matrix
i7 i8 i9 i10 i11
-------- -------- -------- -------- --------
i7 1.000
i8 0.430 1.000
i9 0.460 0.597 1.000
i10 0.474 0.549 0.512 1.000
i11 0.484 0.507 0.496 0.471 1.000
Total Variance = 11.000 Generalized Variance = 0.00359
Largest Eigenvalue = 5.809 Smallest Eigenvalue = 0.254
Condition Number = 4.783
Parameter Specifications
LAMBDA-X
Factor1 Factor2 Factor3
-------- -------- --------
i1 0 0 0
i2 1 0 0
i3 2 0 0
i4 3 0 0
i5 0 0 0
i6 0 4 0
i7 0 5 0
i8 0 0 0
i9 0 0 6
i10 0 0 7
i11 0 0 8
PHI
Factor1 Factor2 Factor3
-------- -------- --------
Factor1 9
Factor2 10 11
Factor3 12 13 14
THETA-DELTA
i1 i2 i3 i4 i5 i6
-------- -------- -------- -------- -------- --------
15 16 17 18 19 20
THETA-DELTA
i7 i8 i9 i10 i11
-------- -------- -------- -------- --------
21 22 23 24 25
Number of Iterations = 9
LISREL Estimates (Maximum Likelihood)
LAMBDA-X
Factor1 Factor2 Factor3
-------- -------- --------
i1 1.000 - - - -
i2 1.125 - - - -
(0.112)
10.059
i3 1.228 - - - -
(0.115)
10.717
i4 1.214 - - - -
(0.114)
10.632
i5 - - 1.000 - -
i6 - - 1.034 - -
(0.064)
16.221
i7 - - 0.940 - -
(0.064)
14.659
i8 - - - - 1.000
i9 - - - - 0.956
(0.077)
12.365
i10 - - - - 0.968
(0.077)
12.535
i11 - - - - 0.893
(0.078)
11.501
PHI
Factor1 Factor2 Factor3
-------- -------- --------
Factor1 0.396
(0.069)
5.748
Factor2 0.371 0.686
(0.051) (0.082)
7.251 8.357
Factor3 0.437 0.471 0.575
(0.056) (0.058) (0.078)
7.807 8.143 7.378
THETA-DELTA
i1 i2 i3 i4 i5 i6
-------- -------- -------- -------- -------- --------
0.604 0.498 0.402 0.416 0.314 0.267
(0.054) (0.048) (0.042) (0.043) (0.037) (0.036)
11.111 10.474 9.575 9.730 8.409 7.449
THETA-DELTA
i7 i8 i9 i10 i11
-------- -------- -------- -------- --------
0.394 0.425 0.475 0.461 0.541
(0.041) (0.043) (0.046) (0.045) (0.050)
9.603 9.931 10.376 10.266 10.833
Squared Multiple Correlations for X - Variables
i1 i2 i3 i4 i5 i6
-------- -------- -------- -------- -------- --------
0.396 0.502 0.598 0.584 0.686 0.733
Squared Multiple Correlations for X - Variables
i7 i8 i9 i10 i11
-------- -------- -------- -------- --------
0.606 0.575 0.525 0.539 0.459
Log-likelihood Values
Estimated Model Saturated Model
--------------- ---------------
Number of free parameters(t) 25 66
-2ln(L) 1691.983 1610.966
AIC (Akaike, 1974)* 1741.983 1742.966
BIC (Schwarz, 1978)* 1834.577 1987.415
*LISREL uses AIC= 2t - 2ln(L) and BIC = tln(N)- 2ln(L)
Goodness of Fit Statistics
Degrees of Freedom for (C1)-(C2) 41
Maximum Likelihood Ratio Chi-Square (C1) 81.017 (P = 0.0002)
Browne's (1984) ADF Chi-Square (C2_NT) 84.490 (P = 0.0001)
Estimated Non-centrality Parameter (NCP) 40.017
90 Percent Confidence Interval for NCP (18.232 ; 69.587)
Minimum Fit Function Value 0.270
Population Discrepancy Function Value (F0) 0.133
90 Percent Confidence Interval for F0 (0.0608 ; 0.232)
Root Mean Square Error of Approximation (RMSEA) 0.0570
90 Percent Confidence Interval for RMSEA (0.0385 ; 0.0752)
P-Value for Test of Close Fit (RMSEA < 0.05) 0.247
Expected Cross-Validation Index (ECVI) 0.437
90 Percent Confidence Interval for ECVI (0.364 ; 0.535)
ECVI for Saturated Model 0.440
ECVI for Independence Model 13.063
Chi-Square for Independence Model (55 df) 3896.761
Normed Fit Index (NFI) 0.979
Non-Normed Fit Index (NNFI) 0.986
Parsimony Normed Fit Index (PNFI) 0.730
Comparative Fit Index (CFI) 0.990
Incremental Fit Index (IFI) 0.990
Relative Fit Index (RFI) 0.972
Critical N (CN) 240.706
Root Mean Square Residual (RMR) 0.0407
Standardized RMR 0.0407
Goodness of Fit Index (GFI) 0.951
Adjusted Goodness of Fit Index (AGFI) 0.922
Parsimony Goodness of Fit Index (PGFI) 0.591
Fitted Covariance Matrix
i1 i2 i3 i4 i5 i6
-------- -------- -------- -------- -------- --------
i1 1.000
i2 0.446 1.000
i3 0.487 0.548 1.000
i4 0.481 0.541 0.591 1.000
i5 0.371 0.418 0.456 0.451 1.000
i6 0.384 0.432 0.471 0.466 0.709 1.000
i7 0.349 0.393 0.429 0.424 0.645 0.667
i8 0.437 0.492 0.537 0.531 0.471 0.487
i9 0.418 0.470 0.513 0.507 0.450 0.466
i10 0.423 0.476 0.520 0.514 0.456 0.472
i11 0.390 0.439 0.480 0.474 0.421 0.435
Fitted Covariance Matrix
i7 i8 i9 i10 i11
-------- -------- -------- -------- --------
i7 1.000
i8 0.443 1.000
i9 0.423 0.550 1.000
i10 0.429 0.557 0.532 1.000
i11 0.396 0.514 0.491 0.497 1.000
Fitted Residuals
i1 i2 i3 i4 i5 i6
-------- -------- -------- -------- -------- --------
i1 0.000
i2 0.038 0.000
i3 0.028 0.000 0.000
i4 0.010 -0.038 -0.009 0.000
i5 -0.055 0.068 -0.004 0.017 0.000
i6 -0.106 0.036 -0.043 -0.042 0.017 0.000
i7 0.037 0.104 -0.005 0.051 -0.032 0.003
i8 -0.057 -0.003 0.009 0.028 -0.030 -0.062
i9 -0.084 -0.023 -0.048 0.025 0.040 -0.010
i10 0.091 -0.011 0.056 0.023 -0.048 -0.058
i11 -0.059 -0.002 -0.017 -0.001 0.055 0.068
Fitted Residuals
i7 i8 i9 i10 i11
-------- -------- -------- -------- --------
i7 0.000
i8 -0.013 0.000
i9 0.037 0.047 0.000
i10 0.045 -0.008 -0.020 0.000
i11 0.088 -0.007 0.005 -0.026 0.000
Summary Statistics for Fitted Residuals
Smallest Fitted Residual = -0.106
Median Fitted Residual = 0.000
Largest Fitted Residual = 0.104
Stemleaf Plot
-10|6
- 8|4
- 6|2
- 4|98758832
- 2|820630
- 0|731098754321000000000000
0|359077
2|35886778
4|057156
6|88
8|81
10|4
Standardized Residuals
i1 i2 i3 i4 i5 i6
-------- -------- -------- -------- -------- --------
i1 0.000
i2 1.403 0.000
i3 1.230 0.015 0.000
i4 0.415 -1.907 -0.555 0.000
i5 -1.611 2.220 -0.142 0.621 0.000
i6 -3.220 1.233 -1.695 -1.606 2.248 0.000
i7 1.012 3.123 -0.155 1.665 -2.726 0.339
i8 -1.971 -0.104 0.410 1.237 -1.114 -2.458
i9 -2.728 -0.838 -1.991 1.007 1.385 -0.356
i10 3.010 -0.407 2.378 0.965 -1.699 -2.163
i11 -1.805 -0.077 -0.631 -0.040 1.784 2.304
Standardized Residuals
i7 i8 i9 i10 i11
-------- -------- -------- -------- --------
i7 0.000
i8 -0.434 0.000
i9 1.166 2.373 0.000
i10 1.459 -0.395 -0.938 0.000
i11 2.638 -0.304 0.202 -1.107 0.000
Summary Statistics for Standardized Residuals
Smallest Standardized Residual = -3.220
Median Standardized Residual = 0.000
Largest Standardized Residual = 3.123
Stemleaf Plot
- 3|2
- 2|775200
- 1|98776611
- 0|98664444321110000000000000
0|23446
1|000222244578
2|223446
3|01
Largest Negative Standardized Residuals
Residual for i6 and i1 -3.220
Residual for i7 and i5 -2.726
Residual for i9 and i1 -2.728
Largest Positive Standardized Residuals
Residual for i7 and i2 3.123
Residual for i10 and i1 3.010
Residual for i11 and i7 2.638
Time used 0.125 seconds
![]()
![]()
DATE: 5/21/2014
TIME: 14:25
L I S R E L 9.10 (STUDENT)
BY
Karl G. Jöreskog & Dag Sörbom
This program is published exclusively by
Scientific Software International, Inc.
http://www.ssicentral.com
Copyright by Scientific Software International, Inc., 1981-2012
Use of this program is subject to the terms specified in the
Universal Copyright Convention.
The following lines were read from file C:\Users\Chris\Desktop\CFA\TestEX2.spl:
Observed Variables: i1 i2 i3 i4 i5 i6 i7 i8 i9 i10 i11
Correlation Matrix:
1.000
.484 1.000
.515 .548 1.000
.491 .503 .582 1.000
.316 .486 .452 .468 1.000
.278 .468 .428 .424 .726 1.000
.386 .497 .424 .475 .613 .670 1.000
.380 .489 .546 .559 .441 .425 .430 1.000
.334 .447 .465 .532 .490 .456 .460 .597 1.000
.514 .465 .576 .537 .408 .414 .474 .549 .512 1.000
.331 .437 .463 .473 .476 .503 .484 .507 .496 .471 1.000
Sample Size = 300
Latent Variables: Factor1 Factor2 Factor3
Relationships:
i1 = 1*Factor1
i2 i3 i4 = Factor1
i5 = 1*Factor2
i6 i7 = Factor2
i8 = 1*Factor3
i9 i10 i11 = Factor3
Factor1->Factor2
Factor2->Factor3
Factor1->Factor3
LISREL Output: ME=ML
number of decimals = 3
Admissibility Check = 300
Iterations = 300
path diagram
print residuals
end of problem
Correlation Matrix
i5 i6 i7 i8 i9 i10
-------- -------- -------- -------- -------- --------
i5 1.000
i6 0.726 1.000
i7 0.613 0.670 1.000
i8 0.441 0.425 0.430 1.000
i9 0.490 0.456 0.460 0.597 1.000
i10 0.408 0.414 0.474 0.549 0.512 1.000
i11 0.476 0.503 0.484 0.507 0.496 0.471
i1 0.316 0.278 0.386 0.380 0.334 0.514
i2 0.486 0.468 0.497 0.489 0.447 0.465
i3 0.452 0.428 0.424 0.546 0.465 0.576
i4 0.468 0.424 0.475 0.559 0.532 0.537
Correlation Matrix
i11 i1 i2 i3 i4
-------- -------- -------- -------- --------
i11 1.000
i1 0.331 1.000
i2 0.437 0.484 1.000
i3 0.463 0.515 0.548 1.000
i4 0.473 0.491 0.503 0.582 1.000
Total Variance = 11.000 Generalized Variance = 0.00359
Largest Eigenvalue = 5.809 Smallest Eigenvalue = 0.254
Condition Number = 4.783
Parameter Specifications
LAMBDA-Y
Factor2 Factor3
-------- --------
i5 0 0
i6 1 0
i7 2 0
i8 0 0
i9 0 3
i10 0 4
i11 0 5
LAMBDA-X
Factor1
--------
i1 0
i2 6
i3 7
i4 8
BETA
Factor2 Factor3
-------- --------
Factor2 0 0
Factor3 9 0
GAMMA
Factor1
--------
Factor2 10
Factor3 11
PHI
Factor1
--------
12
PSI
Factor2 Factor3
-------- --------
13 14
THETA-EPS
i5 i6 i7 i8 i9 i10
-------- -------- -------- -------- -------- --------
15 16 17 18 19 20
THETA-EPS
i11
--------
21
THETA-DELTA
i1 i2 i3 i4
-------- -------- -------- --------
22 23 24 25
Number of Iterations = 8
LISREL Estimates (Maximum Likelihood)
LAMBDA-Y
Factor2 Factor3
-------- --------
i5 1.000 - -
i6 1.034 - -
(0.064)
16.221
i7 0.940 - -
(0.064)
14.659
i8 - - 1.000
i9 - - 0.956
(0.077)
12.365
i10 - - 0.968
(0.077)
12.535
i11 - - 0.893
(0.078)
11.501
LAMBDA-X
Factor1
--------
i1 1.000
i2 1.125
(0.112)
10.059
i3 1.228
(0.115)
10.717
i4 1.214
(0.114)
10.632
BETA
Factor2 Factor3
-------- --------
Factor2 - - - -
Factor3 0.183 - -
(0.069)
2.659
GAMMA
Factor1
--------
Factor2 0.937
(0.106)
8.865
Factor3 0.931
(0.122)
7.647
Covariance Matrix of ETA and KSI
Factor2 Factor3 Factor1
-------- -------- --------
Factor2 0.686
Factor3 0.471 0.575
Factor1 0.371 0.437 0.396
PHI
Factor1
--------
0.396
(0.069)
5.748
PSI
Note: This matrix is diagonal.
Factor2 Factor3
-------- --------
0.338 0.082
(0.050) (0.026)
6.812 3.169
Squared Multiple Correlations for Structural Equations
Factor2 Factor3
-------- --------
0.507 0.858
NOTE: R² for Structural Equatios are Hayduk's (2006) Blocked-Error R²
Reduced Form
Factor1
--------
Factor2 0.937
(0.106)
8.850
Factor3 1.103
(0.111)
9.927
Squared Multiple Correlations for Reduced Form
Factor2 Factor3
-------- --------
0.507 0.838
THETA-EPS
i5 i6 i7 i8 i9 i10
-------- -------- -------- -------- -------- --------
0.314 0.267 0.394 0.425 0.475 0.461
(0.037) (0.036) (0.041) (0.043) (0.046) (0.045)
8.409 7.449 9.603 9.931 10.376 10.266
THETA-EPS
i11
--------
0.541
(0.050)
10.833
Squared Multiple Correlations for Y - Variables
i5 i6 i7 i8 i9 i10
-------- -------- -------- -------- -------- --------
0.686 0.733 0.606 0.575 0.525 0.539
Squared Multiple Correlations for Y - Variables
i11
--------
0.459
THETA-DELTA
i1 i2 i3 i4
-------- -------- -------- --------
0.604 0.498 0.402 0.416
(0.054) (0.048) (0.042) (0.043)
11.111 10.474 9.575 9.730
Squared Multiple Correlations for X - Variables
i1 i2 i3 i4
-------- -------- -------- --------
0.396 0.502 0.598 0.584
Log-likelihood Values
Estimated Model Saturated Model
--------------- ---------------
Number of free parameters(t) 25 66
-2ln(L) 1691.983 1610.966
AIC (Akaike, 1974)* 1741.983 1742.966
BIC (Schwarz, 1978)* 1834.577 1987.415
*LISREL uses AIC= 2t - 2ln(L) and BIC = tln(N)- 2ln(L)
Goodness of Fit Statistics
Degrees of Freedom for (C1)-(C2) 41
Maximum Likelihood Ratio Chi-Square (C1) 81.017 (P = 0.0002)
Browne's (1984) ADF Chi-Square (C2_NT) 84.490 (P = 0.0001)
Estimated Non-centrality Parameter (NCP) 40.017
90 Percent Confidence Interval for NCP (18.232 ; 69.587)
Minimum Fit Function Value 0.270
Population Discrepancy Function Value (F0) 0.133
90 Percent Confidence Interval for F0 (0.0608 ; 0.232)
Root Mean Square Error of Approximation (RMSEA) 0.0570
90 Percent Confidence Interval for RMSEA (0.0385 ; 0.0752)
P-Value for Test of Close Fit (RMSEA < 0.05) 0.247
Expected Cross-Validation Index (ECVI) 0.437
90 Percent Confidence Interval for ECVI (0.364 ; 0.535)
ECVI for Saturated Model 0.440
ECVI for Independence Model 13.063
Chi-Square for Independence Model (55 df) 3896.761
Normed Fit Index (NFI) 0.979
Non-Normed Fit Index (NNFI) 0.986
Parsimony Normed Fit Index (PNFI) 0.730
Comparative Fit Index (CFI) 0.990
Incremental Fit Index (IFI) 0.990
Relative Fit Index (RFI) 0.972
Critical N (CN) 240.706
Root Mean Square Residual (RMR) 0.0407
Standardized RMR 0.0407
Goodness of Fit Index (GFI) 0.951
Adjusted Goodness of Fit Index (AGFI) 0.922
Parsimony Goodness of Fit Index (PGFI) 0.591
Fitted Covariance Matrix
i5 i6 i7 i8 i9 i10
-------- -------- -------- -------- -------- --------
i5 1.000
i6 0.709 1.000
i7 0.645 0.667 1.000
i8 0.471 0.487 0.443 1.000
i9 0.450 0.466 0.423 0.550 1.000
i10 0.456 0.472 0.429 0.557 0.532 1.000
i11 0.421 0.435 0.396 0.514 0.491 0.497
i1 0.371 0.384 0.349 0.437 0.418 0.423
i2 0.418 0.432 0.393 0.492 0.470 0.476
i3 0.456 0.471 0.429 0.537 0.513 0.520
i4 0.451 0.466 0.424 0.531 0.507 0.514
Fitted Covariance Matrix
i11 i1 i2 i3 i4
-------- -------- -------- -------- --------
i11 1.000
i1 0.390 1.000
i2 0.439 0.446 1.000
i3 0.480 0.487 0.548 1.000
i4 0.474 0.481 0.541 0.591 1.000
Fitted Residuals
i5 i6 i7 i8 i9 i10
-------- -------- -------- -------- -------- --------
i5 0.000
i6 0.017 0.000
i7 -0.032 0.003 0.000
i8 -0.030 -0.062 -0.013 0.000
i9 0.040 -0.010 0.037 0.047 0.000
i10 -0.048 -0.058 0.045 -0.008 -0.020 0.000
i11 0.055 0.068 0.088 -0.007 0.005 -0.026
i1 -0.055 -0.106 0.037 -0.057 -0.084 0.091
i2 0.068 0.036 0.104 -0.003 -0.023 -0.011
i3 -0.004 -0.043 -0.005 0.009 -0.048 0.056
i4 0.017 -0.042 0.051 0.028 0.025 0.023
Fitted Residuals
i11 i1 i2 i3 i4
-------- -------- -------- -------- --------
i11 0.000
i1 -0.059 0.000
i2 -0.002 0.038 0.000
i3 -0.017 0.028 0.000 0.000
i4 -0.001 0.010 -0.038 -0.009 0.000
Summary Statistics for Fitted Residuals
Smallest Fitted Residual = -0.106
Median Fitted Residual = 0.000
Largest Fitted Residual = 0.104
Stemleaf Plot
-10|6
- 8|4
- 6|2
- 4|98758832
- 2|820630
- 0|731098754321000000000000
0|359077
2|35886778
4|057156
6|88
8|81
10|4
Standardized Residuals
i5 i6 i7 i8 i9 i10
-------- -------- -------- -------- -------- --------
i5 0.000
i6 2.248 0.000
i7 -2.726 0.339 0.000
i8 -1.114 -2.458 -0.434 0.000
i9 1.385 -0.356 1.166 2.373 0.000
i10 -1.699 -2.163 1.459 -0.395 -0.938 0.000
i11 1.784 2.304 2.638 -0.304 0.202 -1.107
i1 -1.611 -3.220 1.012 -1.971 -2.728 3.010
i2 2.220 1.233 3.123 -0.105 -0.838 -0.407
i3 -0.142 -1.695 -0.155 0.410 -1.991 2.378
i4 0.621 -1.606 1.665 1.237 1.007 0.965
Standardized Residuals
i11 i1 i2 i3 i4
-------- -------- -------- -------- --------
i11 0.000
i1 -1.805 0.000
i2 -0.077 1.403 0.000
i3 -0.631 1.230 0.015 0.000
i4 -0.040 0.415 -1.907 -0.555 0.000
Summary Statistics for Standardized Residuals
Smallest Standardized Residual = -3.220
Median Standardized Residual = 0.000
Largest Standardized Residual = 3.123
Stemleaf Plot
- 3|2
- 2|775200
- 1|98776611
- 0|98664444321110000000000000
0|23446
1|000222244578
2|223446
3|01
Largest Negative Standardized Residuals
Residual for i7 and i5 -2.726
Residual for i1 and i6 -3.220
Residual for i1 and i9 -2.728
Largest Positive Standardized Residuals
Residual for i11 and i7 2.638
Residual for i1 and i10 3.010
Residual for i2 and i7 3.123
Time used 0.125 seconds
strength
output3.docx
0
