Output from calis16.sas
0 Graphs
|
|
Output from calis16.sas |
Source
0 Graphs |
|---|
TEST16: Nine Psychological Variables, LISREL VI, p. III.106 1 Confirmatory Factor Analysis, Data of Holzinger & Swineford (1937) Model A: Restricted Oblique Clusters (24 df)
Covariance Structure Analysis: Pattern and Initial Values
FACTOR Model Statement
-------------------------------
Matrix Rows & Cols Matrix Type
TERM 1-----------------------------------------------------------
1 _F_ 9 3 GENERAL
2 _P_ 3 3 SYMMETRIC
TERM 2-----------------------------------------------------------
3 _U_ 9 9 SYMMETRIC
TEST16: Nine Psychological Variables, LISREL VI, p. III.106 2 Confirmatory Factor Analysis, Data of Holzinger & Swineford (1937) Model A: Restricted Oblique Clusters (24 df)
Covariance Structure Analysis: Maximum Likelihood Estimation
Levenberg-Marquardt Optimization
Scaling Update of More (1978)
Number of Parameter Estimates 21
Number of Functions (Observations) 45
Number of Lower Bounds 9
Number of Upper Bounds 0
Optimization Start: Active Constraints= 0 Criterion= 0.982
Maximum Gradient Element= 1.750 Radius= 11.234
Iter rest nfun act optcrit difcrit maxgrad lambda rho
1 0 2 0 0.3767 0.6049 0.0788 0 0.763
2 0 3 0 0.3676 0.00907 0.0291 0 1.212
3 0 4 0 0.3660 0.00155 0.0177 0 1.276
4 0 5 0 0.3656 0.000417 0.00817 0 1.311
5 0 6 0 0.3655 0.000137 0.00577 0 1.354
6 0 7 0 0.3654 0.00005 0.00301 0 1.414
7 0 8 0 0.3654 0.00002 0.00207 0 1.468
8 0 9 0 0.3654 7.953E-6 0.00114 0 1.517
9 0 10 0 0.3654 3.284E-6 0.00079 0 1.555
10 0 11 0 0.3654 1.372E-6 0.00045 0 1.584
11 0 12 0 0.3654 5.777E-7 0.00031 0 1.605
12 0 13 0 0.3654 2.444E-7 0.00018 0 1.620
13 0 14 0 0.3654 1.037E-7 0.00013 0 1.631
14 0 15 0 0.3654 4.411E-8 0.00007 0 1.638
15 0 16 0 0.3654 1.879E-8 0.00005 0 1.643
16 0 17 0 0.3654 8.008E-9 0.00003 0 1.646
17 0 18 0 0.3654 3.416E-9 0.00002 0 1.649
18 0 19 0 0.3654 1.458E-9 0.00001 0 1.650
Optimization Results: Iterations= 18 Function Calls= 20 Jacobian Calls= 19
Active Constraints= 0 Criterion= 0.36540166
Maximum Gradient Element= 0.0000134925 Lambda= 0 Rho= 1.65 Radius= 0.0001484
NOTE: GCONV convergence criterion satisfied.
TEST16: Nine Psychological Variables, LISREL VI, p. III.106 3 Confirmatory Factor Analysis, Data of Holzinger & Swineford (1937) Model A: Restricted Oblique Clusters (24 df)
Covariance Structure Analysis: Maximum Likelihood Estimation
Fit criterion . . . . . . . . . . . . . . . . . . 0.3654
Goodness of Fit Index (GFI) . . . . . . . . . . . 0.9285
GFI Adjusted for Degrees of Freedom (AGFI). . . . 0.8659
Root Mean Square Residual (RMR) . . . . . . . . . 0.0751
Parsimonious GFI (Mulaik, 1989) . . . . . . . . . 0.6190
Chi-square = 52.6178 df = 24 Prob>chi**2 = 0.0006
Null Model Chi-square: df = 36 496.6694
RMSEA Estimate . . . . . . 0.0910 90%C.I.[0.0575, 0.1245]
Probability of Close Fit . . . . . . . . . . . . 0.0250
ECVI Estimate . . . . . . . 0.6788 90%C.I.[0.5577, 0.8579]
Bentler's Comparative Fit Index . . . . . . . . . 0.9379
Normal Theory Reweighted LS Chi-square . . . . . 49.9204
Akaike's Information Criterion. . . . . . . . . . 4.6178
Bozdogan's (1987) CAIC. . . . . . . . . . . . . . -90.8238
Schwarz's Bayesian Criterion. . . . . . . . . . . -66.8238
McDonald's (1989) Centrality. . . . . . . . . . . 0.9060
Bentler & Bonett's (1980) Non-normed Index. . . . 0.9068
Bentler & Bonett's (1980) NFI . . . . . . . . . . 0.8941
James, Mulaik, & Brett (1982) Parsimonious NFI. . 0.5960
Z-Test of Wilson & Hilferty (1931). . . . . . . . 3.2045
Bollen (1986) Normed Index Rho1 . . . . . . . . . 0.8411
Bollen (1988) Non-normed Index Delta2 . . . . . . 0.9395
Hoelter's (1983) Critical N . . . . . . . . . . . 101
Estimated Parameter Matrix _P_[3:3]
Symmetric Matrix
FCOR1 FCOR2 FCOR3
FCOR1 1.0000 0.5431[C1] 0.5113[C2]
FCOR2 0.5431[C1] 1.0000 0.3204[C3]
FCOR3 0.5113[C2] 0.3204[C3] 1.0000
Estimated Parameter Matrix _F_[9:3]
Lower Triangular Matrix
FACT1 FACT2 FACT3 V1 0.6725[L1] 0. 0. Visual perception V2 0.5130[L2] 0. 0. Cubes V3 0.6840[L3] 0. 0. Lozenges V4 0. 0.8671[L4] 0. Paragraph comprehension V5 0. 0.8301[L5] 0. Sentence completion V6 0. 0.8257[L6] 0. Word meaning V7 0. 0. 0.6615[L7] Addition V8 0. 0. 0.7969[L8] Counting dots V9 0. 0. 0.6810[L9] Straight-curved capitals
TEST16: Nine Psychological Variables, LISREL VI, p. III.106 4 Confirmatory Factor Analysis, Data of Holzinger & Swineford (1937) Model A: Restricted Oblique Clusters (24 df)
Covariance Structure Analysis: Maximum Likelihood Estimation
Estimated Parameter Matrix _U_[9:9]
Diagonal Matrix
UVAR1 UVAR2 UVAR3
V1 0.5477[EPS1] 0. 0. Visual perception
V2 0. 0.7368[EPS2] 0. Cubes
V3 0. 0. 0.5322[EPS3] Lozenges
V4 0. 0. 0. Paragraph comprehension
V5 0. 0. 0. Sentence completion
V6 0. 0. 0. Word meaning
V7 0. 0. 0. Addition
V8 0. 0. 0. Counting dots
V9 0. 0. 0. Straight-curved capitals
UVAR4 UVAR5 UVAR6
V1 0. 0. 0. Visual perception
V2 0. 0. 0. Cubes
V3 0. 0. 0. Lozenges
V4 0.2482[EPS4] 0. 0. Paragraph comprehension
V5 0. 0.3109[EPS5] 0. Sentence completion
V6 0. 0. 0.3182[EPS6] Word meaning
V7 0. 0. 0. Addition
V8 0. 0. 0. Counting dots
V9 0. 0. 0. Straight-curved capitals
UVAR7 UVAR8 UVAR9
V1 0. 0. 0. Visual perception
V2 0. 0. 0. Cubes
V3 0. 0. 0. Lozenges
V4 0. 0. 0. Paragraph comprehension
V5 0. 0. 0. Sentence completion
V6 0. 0. 0. Word meaning
V7 0.5624[EPS7] 0. 0. Addition
V8 0. 0.3650[EPS8] 0. Counting dots
V9 0. 0. 0.5362[EPS9] Straight-curved capitals
TEST16: Nine Psychological Variables, LISREL VI, p. III.106 5 Confirmatory Factor Analysis, Data of Holzinger & Swineford (1937) Model A: Restricted Oblique Clusters (24 df)
Covariance Structure Analysis: Maximum Likelihood Estimation
Standardized Factor Loadings
FACT1 FACT2 FACT3 V1 0.67254 0.00000 0.00000 Visual perception V2 0.51302 0.00000 0.00000 Cubes V3 0.68396 0.00000 0.00000 Lozenges V4 0.00000 0.86707 0.00000 Paragraph comprehension V5 0.00000 0.83009 0.00000 Sentence completion V6 0.00000 0.82574 0.00000 Word meaning V7 0.00000 0.00000 0.66154 Addition V8 0.00000 0.00000 0.79687 Counting dots V9 0.00000 0.00000 0.68101 Straight-curved capitals
Squared Multiple Correlations
-------------------------------------------------------------
Error Total
Parameter Variance Variance R-squared
-------------------------------------------------------------
1 V1 0.547695 1.000000 0.452305
2 V2 0.736813 1.000000 0.263187
3 V3 0.532205 1.000000 0.467795
4 V4 0.248184 1.000000 0.751816
5 V5 0.310948 1.000000 0.689052
6 V6 0.318153 1.000000 0.681847
7 V7 0.562367 1.000000 0.437633
8 V8 0.365005 1.000000 0.634995
9 V9 0.536225 1.000000 0.463775
Correlations among Exogenous Variables
------------------------------------------------------
Row & Column Parameter Estimate
------------------------------------------------------
2 1 FCOR2 FCOR1 C1 0.543134
3 1 FCOR3 FCOR1 C2 0.511325
3 2 FCOR3 FCOR2 C3 0.320449
Total Determination of All Equations = 0.987
Total Determination of Manifest Variables = 0.982
TEST16: Nine Psychological Variables, LISREL VI, p. III.106 6 Confirmatory Factor Analysis, Data of Holzinger & Swineford (1937) Model B: 23 degrees of freedom (F[9,1] free)
Covariance Structure Analysis: Pattern and Initial Values
FACTOR Model Statement
-------------------------------
Matrix Rows & Cols Matrix Type
TERM 1-----------------------------------------------------------
1 _F_ 9 3 GENERAL
2 _P_ 3 3 SYMMETRIC
TERM 2-----------------------------------------------------------
3 _U_ 9 9 SYMMETRIC
TEST16: Nine Psychological Variables, LISREL VI, p. III.106 7 Confirmatory Factor Analysis, Data of Holzinger & Swineford (1937) Model B: 23 degrees of freedom (F[9,1] free)
Covariance Structure Analysis: Maximum Likelihood Estimation
Levenberg-Marquardt Optimization
Scaling Update of More (1978)
Number of Parameter Estimates 22
Number of Functions (Observations) 45
Number of Lower Bounds 9
Number of Upper Bounds 0
Optimization Start: Active Constraints= 0 Criterion= 0.765
Maximum Gradient Element= 1.751 Radius= 11.797
Iter rest nfun act optcrit difcrit maxgrad lambda rho
1 0 2 0 0.2057 0.5593 0.0746 0 0.775
2 0 3 0 0.2019 0.00375 0.0123 0 1.112
3 0 4 0 0.2016 0.000327 0.00858 0 1.455
4 0 5 0 0.2015 0.000092 0.0036 0 1.520
5 0 6 0 0.2015 0.000028 0.00267 0 1.526
6 0 7 0 0.2014 8.516E-6 0.0011 0 1.531
7 0 8 0 0.2014 2.634E-6 0.00083 0 1.532
8 0 9 0 0.2014 8.181E-7 0.00034 0 1.533
9 0 10 0 0.2014 2.545E-7 0.00026 0 1.534
10 0 11 0 0.2014 7.927E-8 0.00011 0 1.534
11 0 12 0 0.2014 2.47E-8 0.00008 0 1.535
12 0 13 0 0.2014 7.701E-9 0.00003 0 1.535
13 0 14 0 0.2014 2.401E-9 0.00002 0 1.535
14 0 15 0 0.2014 7.49E-10 0.00001 0 1.536
Optimization Results: Iterations= 14 Function Calls= 16 Jacobian Calls= 15
Active Constraints= 0 Criterion= 0.20144268
Maximum Gradient Element= 0.0000103791 Lambda= 0 Rho= 1.536 Radius= 0.0001239
NOTE: GCONV convergence criterion satisfied.
TEST16: Nine Psychological Variables, LISREL VI, p. III.106 8 Confirmatory Factor Analysis, Data of Holzinger & Swineford (1937) Model B: 23 degrees of freedom (F[9,1] free)
Covariance Structure Analysis: Maximum Likelihood Estimation
Fit criterion . . . . . . . . . . . . . . . . . . 0.2014
Goodness of Fit Index (GFI) . . . . . . . . . . . 0.9575
GFI Adjusted for Degrees of Freedom (AGFI). . . . 0.9169
Root Mean Square Residual (RMR) . . . . . . . . . 0.0451
Parsimonious GFI (Mulaik, 1989) . . . . . . . . . 0.6118
Chi-square = 29.0077 df = 23 Prob>chi**2 = 0.1801
Null Model Chi-square: df = 36 496.6694
RMSEA Estimate . . . . . . . . . 0.0426 90%C.I.[., 0.0851]
Probability of Close Fit . . . . . . . . . . . . 0.5674
ECVI Estimate . . . . . . . . . . 0.5298 90%C.I.[., 0.6580]
Bentler's Comparative Fit Index . . . . . . . . . 0.9870
Normal Theory Reweighted LS Chi-square . . . . . 28.7443
Akaike's Information Criterion. . . . . . . . . . -16.9923
Bozdogan's (1987) CAIC. . . . . . . . . . . . . . -108.4571
Schwarz's Bayesian Criterion. . . . . . . . . . . -85.4571
McDonald's (1989) Centrality. . . . . . . . . . . 0.9795
Bentler & Bonett's (1980) Non-normed Index. . . . 0.9796
Bentler & Bonett's (1980) NFI . . . . . . . . . . 0.9416
James, Mulaik, & Brett (1982) Parsimonious NFI. . 0.6016
Z-Test of Wilson & Hilferty (1931). . . . . . . . 0.9165
Bollen (1986) Normed Index Rho1 . . . . . . . . . 0.9086
Bollen (1988) Non-normed Index Delta2 . . . . . . 0.9873
Hoelter's (1983) Critical N . . . . . . . . . . . 176
Estimated Parameter Matrix _P_[3:3]
Symmetric Matrix
FCOR1 FCOR2 FCOR3
FCOR1 1.0000 0.5574[C1] 0.3897[C2]
FCOR2 0.5574[C1] 1.0000 0.2230[C3]
FCOR3 0.3897[C2] 0.2230[C3] 1.0000
Estimated Parameter Matrix _F_[9:3]
Lower Triangular Matrix
FACT1 FACT2 FACT3 V1 0.7082[L1 ] 0. 0. Visual perception V2 0.4833[L2 ] 0. 0. Cubes V3 0.6499[L3 ] 0. 0. Lozenges V4 0. 0.8679[L5 ] 0. Paragraph comprehension V5 0. 0.8299[L6 ] 0. Sentence completion V6 0. 0.8250[L7 ] 0. Word meaning V7 0. 0. 0.6809[L8 ] Addition V8 0. 0. 0.8591[L9 ] Counting dots V9 0.4567[L4 ] 0. 0.4188[L10] Straight-curved capitals
TEST16: Nine Psychological Variables, LISREL VI, p. III.106 9 Confirmatory Factor Analysis, Data of Holzinger & Swineford (1937) Model B: 23 degrees of freedom (F[9,1] free)
Covariance Structure Analysis: Maximum Likelihood Estimation
Estimated Parameter Matrix _U_[9:9]
Diagonal Matrix
UVAR1 UVAR2 UVAR3
V1 0.4985[EPS1] 0. 0. Visual perception
V2 0. 0.7664[EPS2] 0. Cubes
V3 0. 0. 0.5777[EPS3] Lozenges
V4 0. 0. 0. Paragraph comprehension
V5 0. 0. 0. Sentence completion
V6 0. 0. 0. Word meaning
V7 0. 0. 0. Addition
V8 0. 0. 0. Counting dots
V9 0. 0. 0. Straight-curved capitals
UVAR4 UVAR5 UVAR6
V1 0. 0. 0. Visual perception
V2 0. 0. 0. Cubes
V3 0. 0. 0. Lozenges
V4 0.2467[EPS4] 0. 0. Paragraph comprehension
V5 0. 0.3113[EPS5] 0. Sentence completion
V6 0. 0. 0.3194[EPS6] Word meaning
V7 0. 0. 0. Addition
V8 0. 0. 0. Counting dots
V9 0. 0. 0. Straight-curved capitals
UVAR7 UVAR8 UVAR9
V1 0. 0. 0. Visual perception
V2 0. 0. 0. Cubes
V3 0. 0. 0. Lozenges
V4 0. 0. 0. Paragraph comprehension
V5 0. 0. 0. Sentence completion
V6 0. 0. 0. Word meaning
V7 0.5364[EPS7] 0. 0. Addition
V8 0. 0.2619[EPS8] 0. Counting dots
V9 0. 0. 0.4670[EPS9] Straight-curved capitals
TEST16: Nine Psychological Variables, LISREL VI, p. III.106 10 Confirmatory Factor Analysis, Data of Holzinger & Swineford (1937) Model B: 23 degrees of freedom (F[9,1] free)
Covariance Structure Analysis: Maximum Likelihood Estimation
Standardized Factor Loadings
FACT1 FACT2 FACT3 V1 0.70819 0.00000 0.00000 Visual perception V2 0.48333 0.00000 0.00000 Cubes V3 0.64988 0.00000 0.00000 Lozenges V4 0.00000 0.86791 0.00000 Paragraph comprehension V5 0.00000 0.82989 0.00000 Sentence completion V6 0.00000 0.82501 0.00000 Word meaning V7 0.00000 0.00000 0.68087 Addition V8 0.00000 0.00000 0.85914 Counting dots V9 0.45667 0.00000 0.41881 Straight-curved capitals
Squared Multiple Correlations
-------------------------------------------------------------
Error Total
Parameter Variance Variance R-squared
-------------------------------------------------------------
1 V1 0.498465 1.000000 0.501535
2 V2 0.766394 1.000000 0.233606
3 V3 0.577652 1.000000 0.422348
4 V4 0.246734 1.000000 0.753266
5 V5 0.311279 1.000000 0.688721
6 V6 0.319356 1.000000 0.680644
7 V7 0.536420 1.000000 0.463580
8 V8 0.261872 1.000000 0.738128
9 V9 0.466997 1.000000 0.533003
Correlations among Exogenous Variables
------------------------------------------------------
Row & Column Parameter Estimate
------------------------------------------------------
2 1 FCOR2 FCOR1 C1 0.557442
3 1 FCOR3 FCOR1 C2 0.389671
3 2 FCOR3 FCOR2 C3 0.222963