The SAS System 16:44 Saturday, March 28, 2009 1
The CALIS Procedure
Covariance Structure Analysis: Pattern and Initial Values
LINEQS Model Statement
Matrix Rows Columns ------Matrix Type------
Term 1 1 _SEL_ 17 22 SELECTION
2 _BETA_ 22 22 EQSBETA IMINUSINV
3 _GAMMA_ 22 17 EQSGAMMA
4 _PHI_ 17 17 SYMMETRIC
The 5 Endogenous Variables
Manifest V1 V3 V5 V6 V11
Latent
The 17 Exogenous Variables
Manifest V2 V4 V7 V8 V9 V10 V12 V13 V14 V15 V16
V17
Latent
Error E1 E3 E5 E6 E11
The SAS System 16:44 Saturday, March 28, 2009 2
The CALIS Procedure
Covariance Structure Analysis: Pattern and Initial Values
Manifest Variable Equations with Initial Estimates
V1 = .*V3 + .*V5 + .*V6 + .*V2
PV3V1 PV5V1 PV6V1 PV2V1
+ .*V4 + .*V7 + .*V8 + .*V9 + .*V10
PV4V1 PV7V1 PV8V1 PV9V1 PV10V1
+ 1.0000 E1
V3 = .*V11 + .*V12 + .*V13 + .*V14
PV11V3 PV12V3 PV13V3 PV14V3
+ .*V15 + 1.0000 E3
PV15V3
V5 = .*V11 + .*V12 + .*V13 + .*V14
PV11V5 PV12V5 PV13V5 PV14V5
+ .*V15 + 1.0000 E5
PV15V5
V6 = .*V11 + .*V12 + .*V13 + .*V14
PV11V6 PV12V6 PV13V6 PV14V6
+ .*V15 + 1.0000 E6
PV15V6
V11 = .*V13 + .*V14 + .*V15 + .*V16
PV13V11 PV14V11 PV15V11 PV16V11
+ .*V17 + 1.0000 E11
PV17V11
The SAS System 16:44 Saturday, March 28, 2009 3
The CALIS Procedure
Covariance Structure Analysis: Pattern and Initial Values
Variances of Exogenous Variables
Variable Parameter Estimate
V2 VARV2 .
V4 VARV4 .
V7 VARV7 .
V8 VARV8 .
V9 VARV9 .
V10 VARV10 .
V12 VARV12 .
V13 VARV13 .
V14 VARV14 .
V15 VARV15 .
V16 VARV16 .
V17 VARV17 .
E1 VARE1 .
E3 VARE3 .
E5 VARE5 .
E6 VARE6 .
E11 VARE11 .
Covariances Among Exogenous Variables
Var1 Var2 Parameter Estimate
V2 V4 .
V2 V7 .
V4 V7 .
V2 V8 .
V4 V8 .
V7 V8 .
V2 V9 .
V4 V9 .
V7 V9 .
V8 V9 .
V2 V10 .
V4 V10 .
V7 V10 .
V8 V10 .
V9 V10 CV9V10 .
V2 V12 .
V4 V12 .
V7 V12 .
V8 V12 .
V9 V12 .
V10 V12 .
V2 V13 .
V4 V13 .
The SAS System 16:44 Saturday, March 28, 2009 4
The CALIS Procedure
Covariance Structure Analysis: Pattern and Initial Values
Covariances Among Exogenous Variables
Var1 Var2 Parameter Estimate
V7 V13 .
V8 V13 .
V9 V13 .
V10 V13 .
V12 V13 .
V2 V14 .
V4 V14 .
V7 V14 .
V8 V14 .
V9 V14 .
V10 V14 .
V12 V14 .
V13 V14 CV13V14 .
V2 V15 .
V4 V15 .
V7 V15 .
V8 V15 .
V9 V15 .
V10 V15 .
V12 V15 .
V13 V15 .
V14 V15 CV14V15 .
V2 V16 .
V4 V16 .
V7 V16 .
V8 V16 .
V9 V16 .
V10 V16 .
V12 V16 .
V13 V16 .
V14 V16 .
V15 V16 .
V2 V17 .
V4 V17 .
V7 V17 .
V8 V17 .
V9 V17 .
V10 V17 .
V12 V17 .
V13 V17 .
V14 V17 .
V15 V17 .
V16 V17 CV16V17 .
The SAS System 16:44 Saturday, March 28, 2009 5
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Observations 72 Model Terms 1
Variables 17 Model Matrices 4
Informations 153 Parameters 50
Variable Mean Std Dev
V1 Yp3 -1.46321 0.51149
V2 Aef1 -0.44724 0.21968
V3 dsxF -0.20917 0.20319
V4 ix -0.29063 0.23872
V5 dsxM 0.09309 0.20499
V6 fruC 0.01491 0.20420
V7 her -0.38418 0.22259
V8 usp -0.44422 0.24250
V9 EcRA -0.19356 0.23611
V10 EcRB -0.00905 0.24730
V11 tra -0.36880 0.21131
V12 tra2 -0.45107 0.21773
V13 Rbp1 -0.49041 0.25371
V14 Rbp1D 0.11918 0.26983
V15 Rbp1-like 0.17605 0.21778
V16 Sxl -0.42768 0.25840
V17 SxlM 0.10679 0.21904
Covariances
V1 V2 V3 V4 V5
V1 Yp3 0.2616245022 0.0769418814 0.0049414212 0.0306474494 0.0245632542
V2 Aef1 0.0769418814 0.0482579914 0.0178520854 0.0320418385 0.0297964485
V3 dsxF 0.0049414212 0.0178520854 0.0412859724 0.0314617458 0.0215485865
V4 ix 0.0306474494 0.0320418385 0.0314617458 0.0569870459 0.0331453790
V5 dsxM 0.0245632542 0.0297964485 0.0215485865 0.0331453790 0.0420221896
V6 fruC 0.0063858639 0.0159747561 0.0118097191 0.0136137689 0.0211321282
V7 her 0.0717229235 0.0358014695 0.0066527948 0.0195072127 0.0219845226
V8 usp 0.0643703399 0.0427368091 0.0264330379 0.0419099533 0.0367772117
V9 EcRA 0.0220882627 0.0291164896 0.0344634556 0.0472792722 0.0320275222
V10 EcRB -.0027124156 0.0242637014 0.0405326025 0.0468892662 0.0335637552
V11 tra 0.0646556706 0.0322027314 0.0130280774 0.0247275445 0.0199854162
V12 tra2 0.0658573443 0.0375023633 0.0187891646 0.0307960409 0.0262948705
V13 Rbp1 0.0576781008 0.0273752174 0.0136455351 0.0254397652 0.0178925844
V14 Rbp1D 0.0289380608 0.0377243312 0.0299993751 0.0430583255 0.0440596337
V15 Rbp1-like 0.0057596673 0.0222061822 0.0191476836 0.0259283155 0.0251366037
V16 Sxl 0.0876416229 0.0449452619 0.0082013056 0.0251584386 0.0289237466
V17 SxlM 0.0249600735 0.0322827672 0.0260273335 0.0360748470 0.0332834763
The SAS System 16:44 Saturday, March 28, 2009 6
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Covariances
V6 V7 V8 V9 V10
V1 Yp3 0.0063858639 0.0717229235 0.0643703399 0.0220882627 -.0027124156
V2 Aef1 0.0159747561 0.0358014695 0.0427368091 0.0291164896 0.0242637014
V3 dsxF 0.0118097191 0.0066527948 0.0264330379 0.0344634556 0.0405326025
V4 ix 0.0136137689 0.0195072127 0.0419099533 0.0472792722 0.0468892662
V5 dsxM 0.0211321282 0.0219845226 0.0367772117 0.0320275222 0.0335637552
V6 fruC 0.0416988575 0.0225463827 0.0199870344 0.0101572107 0.0168416254
V7 her 0.0225463827 0.0495463169 0.0351141195 0.0156605554 0.0106410926
V8 usp 0.0199870344 0.0351141195 0.0588058634 0.0380925425 0.0367651091
V9 EcRA 0.0101572107 0.0156605554 0.0380925425 0.0557480337 0.0483549188
V10 EcRB 0.0168416254 0.0106410926 0.0367651091 0.0483549188 0.0611557516
V11 tra 0.0248794200 0.0366279555 0.0334584159 0.0197359726 0.0181907935
V12 tra2 0.0237495174 0.0395798940 0.0413320000 0.0268562183 0.0240539232
V13 Rbp1 0.0297163566 0.0388342412 0.0324779812 0.0138810393 0.0189791184
V14 Rbp1D 0.0306260015 0.0290241938 0.0439166404 0.0403468308 0.0433637906
V15 Rbp1-like 0.0279953642 0.0232105708 0.0263861781 0.0235678273 0.0279873846
V16 Sxl 0.0215912617 0.0466519143 0.0419215322 0.0228265098 0.0124277710
V17 SxlM 0.0156770511 0.0182624043 0.0332386522 0.0353469686 0.0384524698
Covariances
V11 V12 V13 V14 V15
V1 Yp3 0.0646556706 0.0658573443 0.0576781008 0.0289380608 0.0057596673
V2 Aef1 0.0322027314 0.0375023633 0.0273752174 0.0377243312 0.0222061822
V3 dsxF 0.0130280774 0.0187891646 0.0136455351 0.0299993751 0.0191476836
V4 ix 0.0247275445 0.0307960409 0.0254397652 0.0430583255 0.0259283155
V5 dsxM 0.0199854162 0.0262948705 0.0178925844 0.0440596337 0.0251366037
V6 fruC 0.0248794200 0.0237495174 0.0297163566 0.0306260015 0.0279953642
V7 her 0.0366279555 0.0395798940 0.0388342412 0.0290241938 0.0232105708
V8 usp 0.0334584159 0.0413320000 0.0324779812 0.0439166404 0.0263861781
V9 EcRA 0.0197359726 0.0268562183 0.0138810393 0.0403468308 0.0235678273
V10 EcRB 0.0181907935 0.0240539232 0.0189791184 0.0433637906 0.0279873846
V11 tra 0.0446524580 0.0386522922 0.0449999678 0.0370555450 0.0243026722
V12 tra2 0.0386522922 0.0474045734 0.0406787292 0.0364069262 0.0262933454
V13 Rbp1 0.0449999678 0.0406787292 0.0643664851 0.0348500605 0.0272615430
V14 Rbp1D 0.0370555450 0.0364069262 0.0348500605 0.0728056151 0.0421237598
V15 Rbp1-like 0.0243026722 0.0262933454 0.0272615430 0.0421237598 0.0474299740
V16 Sxl 0.0418437702 0.0442334305 0.0409784206 0.0380223672 0.0260330216
V17 SxlM 0.0186780548 0.0244110511 0.0144407407 0.0388835503 0.0298616809
Covariances
V16 V17
V1 Yp3 0.0876416229 0.0249600735
V2 Aef1 0.0449452619 0.0322827672
The SAS System 16:44 Saturday, March 28, 2009 7
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Covariances
V16 V17
V3 dsxF 0.0082013056 0.0260273335
V4 ix 0.0251584386 0.0360748470
V5 dsxM 0.0289237466 0.0332834763
V6 fruC 0.0215912617 0.0156770511
V7 her 0.0466519143 0.0182624043
V8 usp 0.0419215322 0.0332386522
V9 EcRA 0.0228265098 0.0353469686
V10 EcRB 0.0124277710 0.0384524698
V11 tra 0.0418437702 0.0186780548
V12 tra2 0.0442334305 0.0244110511
V13 Rbp1 0.0409784206 0.0144407407
V14 Rbp1D 0.0380223672 0.0388835503
V15 Rbp1-like 0.0260330216 0.0298616809
V16 Sxl 0.0667729922 0.0257711363
V17 SxlM 0.0257711363 0.0479770703
Determinant 1.528676E-30 Ln -68.653151
Set Covariances of Exogenous Manifest Variables
V2 V4 V7 V8 V9 V10 V12 V13 V14 V15 V16 V17
NOTE: Some initial estimates computed by two-stage LS method.
The SAS System 16:44 Saturday, March 28, 2009 8
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Vector of Initial Estimates
Parameter Estimate Type
1 PV3V1 1.78191 Matrix Entry: _BETA_[1:2]
2 PV5V1 -0.43591 Matrix Entry: _BETA_[1:3]
3 PV6V1 -0.99329 Matrix Entry: _BETA_[1:4]
4 PV11V3 -2.43082 Matrix Entry: _BETA_[2:5]
5 PV11V5 -0.34866 Matrix Entry: _BETA_[3:5]
6 PV11V6 -0.13685 Matrix Entry: _BETA_[4:5]
7 PV2V1 1.24179 Matrix Entry: _GAMMA_[1:1]
8 PV4V1 0.30852 Matrix Entry: _GAMMA_[1:2]
9 PV7V1 1.00561 Matrix Entry: _GAMMA_[1:3]
10 PV8V1 0.40961 Matrix Entry: _GAMMA_[1:4]
11 PV9V1 -0.41566 Matrix Entry: _GAMMA_[1:5]
12 PV10V1 -1.53438 Matrix Entry: _GAMMA_[1:6]
13 PV12V3 1.17482 Matrix Entry: _GAMMA_[2:7]
14 PV13V3 0.82279 Matrix Entry: _GAMMA_[2:8]
15 PV14V3 0.74905 Matrix Entry: _GAMMA_[2:9]
16 PV15V3 -0.14021 Matrix Entry: _GAMMA_[2:10]
17 PV12V5 0.46427 Matrix Entry: _GAMMA_[3:7]
18 PV13V5 -0.08655 Matrix Entry: _GAMMA_[3:8]
19 PV14V5 0.62126 Matrix Entry: _GAMMA_[3:9]
20 PV15V5 -0.05076 Matrix Entry: _GAMMA_[3:10]
21 PV12V6 0.07873 Matrix Entry: _GAMMA_[4:7]
22 PV13V6 0.30329 Matrix Entry: _GAMMA_[4:8]
23 PV14V6 0.10243 Matrix Entry: _GAMMA_[4:9]
24 PV15V6 0.35142 Matrix Entry: _GAMMA_[4:10]
25 PV13V11 0.45281 Matrix Entry: _GAMMA_[5:8]
26 PV14V11 0.19228 Matrix Entry: _GAMMA_[5:9]
27 PV15V11 -0.05886 Matrix Entry: _GAMMA_[5:10]
28 PV16V11 0.26565 Matrix Entry: _GAMMA_[5:11]
29 PV17V11 -0.00887 Matrix Entry: _GAMMA_[5:12]
30 VARV2 0.04826 Matrix Entry: _PHI_[1:1]
31 VARV4 0.05699 Matrix Entry: _PHI_[2:2]
32 VARV7 0.04955 Matrix Entry: _PHI_[3:3]
33 VARV8 0.05881 Matrix Entry: _PHI_[4:4]
34 VARV9 0.05575 Matrix Entry: _PHI_[5:5]
35 CV9V10 0.04835 Matrix Entry: _PHI_[6:5]
36 VARV10 0.06116 Matrix Entry: _PHI_[6:6]
37 VARV12 0.04740 Matrix Entry: _PHI_[7:7]
38 VARV13 0.06437 Matrix Entry: _PHI_[8:8]
39 CV13V14 0.03485 Matrix Entry: _PHI_[9:8]
40 VARV14 0.07281 Matrix Entry: _PHI_[9:9]
41 CV14V15 0.04212 Matrix Entry: _PHI_[10:9]
42 VARV15 0.04743 Matrix Entry: _PHI_[10:10]
43 VARV16 0.06677 Matrix Entry: _PHI_[11:11]
44 CV16V17 0.02577 Matrix Entry: _PHI_[12:11]
45 VARV17 0.04798 Matrix Entry: _PHI_[12:12]
46 VARE1 0.12134 Matrix Entry: _PHI_[13:13]
The SAS System 16:44 Saturday, March 28, 2009 9
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Vector of Initial Estimates
Parameter Estimate Type
47 VARE3 0.05581 Matrix Entry: _PHI_[14:14]
48 VARE5 0.01214 Matrix Entry: _PHI_[15:15]
49 VARE6 0.02151 Matrix Entry: _PHI_[16:16]
50 VARE11 0.01000 Matrix Entry: _PHI_[17:17]
The SAS System 16:44 Saturday, March 28, 2009 10
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Dual Quasi-Newton Optimization
Dual Broyden - Fletcher - Goldfarb - Shanno Update (DBFGS)
Parameter Estimates 50
Functions (Observations) 153
Optimization Start
Active Constraints 0 Objective Function 3.1262019472
Max Abs Gradient Element 23.686511266
Objective Max Abs Slope of
Function Active Objective Function Gradient Step Search
Iter Restarts Calls Constraints Function Change Element Size Direction
1 0 6 0 3.09280 0.0334 1.8433 0.00045 -118.5
2 0 7 0 3.09266 0.000148 1.4414 1.000 -0.0005
3 0 9 0 3.09234 0.000315 1.7709 3.549 -0.0002
4 0 13 0 2.98209 0.1103 24.2757 452.2 -0.0005
5 0 15 0 2.92648 0.0556 3.8139 2.727 -0.0424
6 0 17 0 2.92219 0.00429 2.9742 1.000 -0.0086
7 0 19 0 2.92114 0.00104 2.7235 1.623 -0.0015
8 0 21 0 2.90813 0.0130 6.9654 13.787 -0.0019
9 0 23 0 2.90124 0.00690 3.4959 1.958 -0.0071
10 0 24 0 2.89069 0.0105 4.0269 3.858 -0.0045
11 0 26 0 2.88871 0.00198 8.1198 0.340 -0.0161
12 0 28 0 2.87475 0.0140 8.3140 1.637 -0.0183
13 0 30 0 2.82844 0.0463 7.6947 3.621 -0.0251
14 0 32 0 2.82330 0.00514 3.0923 1.000 -0.0101
15 0 34 0 2.82131 0.00199 3.1847 0.622 -0.0061
16 0 36 0 2.80404 0.0173 7.7320 5.162 -0.0064
17 0 37 0 2.77383 0.0302 8.7279 0.942 -0.0458
18 0 39 0 2.69500 0.0788 13.3029 1.291 -0.122
19 0 41 0 2.66099 0.0340 3.4570 0.458 -0.121
20 0 43 0 2.63977 0.0212 2.6158 0.842 -0.0405
21 0 45 0 2.63666 0.00311 1.2654 0.530 -0.0100
22 0 46 0 2.63514 0.00152 5.0511 3.272 -0.0024
23 0 48 0 2.62950 0.00564 1.9973 2.072 -0.0054
24 0 50 0 2.59868 0.0308 18.4717 11.130 -0.0058
25 0 52 0 2.52292 0.0758 10.1438 2.453 -0.0628
26 0 53 0 2.46405 0.0589 13.4149 2.600 -0.0729
27 0 54 0 2.43329 0.0308 11.1855 1.879 -0.0783
28 0 55 0 2.42400 0.00929 9.6614 1.866 -0.0412
29 0 56 0 2.40981 0.0142 4.0217 0.801 -0.0290
30 0 58 0 2.40822 0.00159 0.6873 1.000 -0.0032
31 0 59 0 2.40699 0.00123 2.5349 4.366 -0.0009
32 0 61 0 2.39670 0.0103 4.1371 5.254 -0.0040
The SAS System 16:44 Saturday, March 28, 2009 11
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Objective Max Abs Slope of
Function Active Objective Function Gradient Step Search
Iter Restarts Calls Constraints Function Change Element Size Direction
33 0 63 0 2.34061 0.0561 7.3353 6.769 -0.0168
34 0 65 0 2.32144 0.0192 2.1856 0.842 -0.0469
35 0 67 0 2.31963 0.00181 0.7390 1.188 -0.0029
36 0 69 0 2.31903 0.000603 0.7834 1.388 -0.0008
37 0 70 0 2.31841 0.000617 1.3385 2.388 -0.0006
38 0 72 0 2.31588 0.00253 2.5457 4.112 -0.0012
39 0 74 0 2.29833 0.0176 4.7152 7.910 -0.0043
40 0 75 0 2.27343 0.0249 4.8753 2.605 -0.0168
41 0 76 0 2.23438 0.0390 5.3808 2.997 -0.0208
42 0 77 0 2.18343 0.0510 4.7616 2.143 -0.0456
43 0 78 0 2.13723 0.0462 12.4796 2.825 -0.0451
44 0 79 0 2.11273 0.0245 6.9511 1.467 -0.0787
45 0 80 0 2.08386 0.0289 5.4887 1.983 -0.0309
46 0 82 0 2.07455 0.00930 2.0385 0.916 -0.0208
47 0 84 0 2.07281 0.00174 0.6728 0.782 -0.0034
48 0 86 0 2.07251 0.000298 0.2175 0.991 -0.0006
49 0 88 0 2.07234 0.000168 0.5115 3.805 -0.0001
50 0 90 0 2.07010 0.00224 2.0811 10.879 -0.0004
51 0 92 0 2.04424 0.0259 5.2265 10.642 -0.0049
52 0 93 0 2.02320 0.0210 2.5719 2.159 -0.0299
53 0 95 0 2.01801 0.00520 0.6520 0.967 -0.0099
54 0 97 0 2.01784 0.000167 0.1505 1.020 -0.0003
55 0 98 0 2.01774 0.000102 0.7436 8.251 -507E-7
56 0 100 0 2.01738 0.000360 0.3543 2.825 -0.0003
57 0 103 0 2.00585 0.0115 2.9406 50.322 -0.0005
58 0 104 0 1.99156 0.0143 2.3474 2.175 -0.0133
59 0 106 0 1.99006 0.00150 0.4845 1.000 -0.0025
60 0 108 0 1.98999 0.000072 0.0971 1.000 -0.0002
61 0 110 0 1.98996 0.000029 0.1211 3.924 -148E-7
62 0 113 0 1.98898 0.000980 1.6012 36.925 -528E-7
63 0 115 0 1.97765 0.0113 2.2943 12.469 -0.0018
64 0 117 0 1.97611 0.00154 0.2282 1.083 -0.0028
65 0 119 0 1.97607 0.000040 0.0670 1.035 -0.0001
66 0 120 0 1.97601 0.000063 0.2687 10.000 -964E-8
67 0 122 0 1.97523 0.000784 1.8149 9.637 -0.0002
68 0 124 0 1.96561 0.00961 1.3707 14.382 -0.0013
69 0 126 0 1.96485 0.000765 0.3284 1.000 -0.0018
70 0 128 0 1.96481 0.000038 0.0788 1.082 -0.0001
71 0 130 0 1.96470 0.000103 0.4944 30.232 -68E-7
72 0 133 0 1.96167 0.00303 1.9229 30.690 -0.0002
73 0 135 0 1.96110 0.000572 0.1648 1.198 -0.0010
74 0 137 0 1.96109 8.314E-6 0.0429 1.183 -139E-7
75 0 139 0 1.96104 0.000053 0.4773 34.859 -302E-8
76 0 142 0 1.95622 0.00482 2.0301 87.292 -0.0001
77 0 144 0 1.95443 0.00180 0.1962 1.336 -0.0027
The SAS System 16:44 Saturday, March 28, 2009 12
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Objective Max Abs Slope of
Function Active Objective Function Gradient Step Search
Iter Restarts Calls Constraints Function Change Element Size Direction
78 0 146 0 1.95441 0.000012 0.0332 1.004 -232E-7
79 0 147 0 1.95441 5.712E-6 0.1190 10.000 -967E-9
80 0 150 0 1.95426 0.000148 0.8327 24.482 -121E-7
81 0 153 0 1.95124 0.00302 0.5338 26.616 -0.0003
82 0 155 0 1.95101 0.000228 0.0394 1.000 -0.0005
83 0 157 0 1.95101 2.606E-6 0.0385 1.582 -33E-7
84 0 159 0 1.95097 0.000033 0.2093 30.668 -212E-8
85 0 160 0 1.95093 0.000040 0.0274 2.257 -363E-7
86 0 162 0 1.95093 7.453E-7 0.0157 1.271 -117E-8
87 0 164 0 1.95092 0.000011 0.1325 61.288 -304E-9
88 0 166 0 1.95075 0.000172 0.4449 11.505 -248E-7
89 0 168 0 1.95024 0.000511 0.3176 3.714 -0.0003
90 0 170 0 1.95017 0.000071 0.00887 1.198 -0.0001
91 0 172 0 1.95017 7.931E-8 0.00869 2.628 -6E-8
92 0 176 0 1.95014 0.000023 0.2164 466.2 -99E-9
93 0 177 0 1.95013 0.000018 0.0968 2.489 -231E-7
94 0 179 0 1.95012 2.942E-6 0.00235 1.000 -588E-8
95 0 180 0 1.95012 2.752E-8 0.0102 10.000 -82E-10
Optimization Results
Iterations 95 Function Calls 181
Gradient Calls 142 Active Constraints 0
Objective Function 1.9501232684 Max Abs Gradient Element 0.0102290721
Slope of Search Direction -8.162191E-9
GCONV convergence criterion satisfied.
NOTE: At least one element of the (projected) gradient is greater than 1e-3.
Predicted Model Matrix
V1 V2 V3 V4 V5
V1 Yp3 0.2699925809 0.0771139218 0.0245576499 0.0270972925 0.0214314136
V2 Aef1 0.0771139218 0.0482575388 0.0185473484 0.0320418385 0.0269034866
V3 dsxF 0.0245576499 0.0185473484 0.0423872773 0.0204303286 0.0219531724
V4 ix 0.0270972925 0.0320418385 0.0204303286 0.0569870923 0.0290449744
V5 dsxM 0.0214314136 0.0269034866 0.0219531724 0.0290449744 0.0432233125
V6 fruC 0.0122299476 0.0187746735 0.0125446465 0.0195555722 0.0170876975
V7 her 0.0750786097 0.0358014695 0.0145759093 0.0195072127 0.0199937763
V8 usp 0.0649767314 0.0427368091 0.0218010446 0.0419099533 0.0310880728
V9 EcRA 0.0176248655 0.0291164896 0.0199985779 0.0472792722 0.0288212362
V10 EcRB -.0060234723 0.0242637014 0.0205052730 0.0468892662 0.0288261929
V11 tra 0.0487842877 0.0299956676 0.0117616168 0.0246356676 0.0184407572
The SAS System 16:44 Saturday, March 28, 2009 13
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Predicted Model Matrix
V1 V2 V3 V4 V5
V12 tra2 0.0614971773 0.0375023633 0.0201966317 0.0307960409 0.0275467756
V13 Rbp1 0.0458626999 0.0273752174 0.0136481497 0.0254397652 0.0178830240
V14 Rbp1D 0.0326818705 0.0377243312 0.0300024517 0.0430583255 0.0440656036
V15 Rbp1-like 0.0169427812 0.0222061822 0.0191404947 0.0259283155 0.0251238331
V16 Sxl 0.0862130284 0.0449452619 0.0167690301 0.0251584386 0.0245542898
V17 SxlM 0.0278312793 0.0322827672 0.0185360099 0.0360748470 0.0262418000
Predicted Model Matrix
V6 V7 V8 V9 V10
V1 Yp3 0.0122299476 0.0750786097 0.0649767314 0.0176248655 -.0060234723
V2 Aef1 0.0187746735 0.0358014695 0.0427368091 0.0291164896 0.0242637014
V3 dsxF 0.0125446465 0.0145759093 0.0218010446 0.0199985779 0.0205052730
V4 ix 0.0195555722 0.0195072127 0.0419099533 0.0472792722 0.0468892662
V5 dsxM 0.0170876975 0.0199937763 0.0310880728 0.0288212362 0.0288261929
V6 fruC 0.0417293356 0.0214080585 0.0219123274 0.0155219739 0.0184058846
V7 her 0.0214080585 0.0495460929 0.0351141195 0.0156605554 0.0106410926
V8 usp 0.0219123274 0.0351141195 0.0588065037 0.0380925425 0.0367651091
V9 EcRA 0.0155219739 0.0156605554 0.0380925425 0.0557478550 0.0483546187
V10 EcRB 0.0184058846 0.0106410926 0.0367651091 0.0483546187 0.0611548877
V11 tra 0.0249919602 0.0340302777 0.0324390979 0.0184063039 0.0182446839
V12 tra2 0.0233098416 0.0395798940 0.0413320000 0.0268562183 0.0240539232
V13 Rbp1 0.0297082545 0.0388342412 0.0324779812 0.0138810393 0.0189791184
V14 Rbp1D 0.0306217858 0.0290241938 0.0439166404 0.0403468308 0.0433637906
V15 Rbp1-like 0.0279997370 0.0232105708 0.0263861781 0.0235678273 0.0279873846
V16 Sxl 0.0242941528 0.0466519143 0.0419215322 0.0228265098 0.0124277710
V17 SxlM 0.0180116360 0.0182624043 0.0332386522 0.0353469686 0.0384524698
Predicted Model Matrix
V11 V12 V13 V14 V15
V1 Yp3 0.0487842877 0.0614971773 0.0458626999 0.0326818705 0.0169427812
V2 Aef1 0.0299956676 0.0375023633 0.0273752174 0.0377243312 0.0222061822
V3 dsxF 0.0117616168 0.0201966317 0.0136481497 0.0300024517 0.0191404947
V4 ix 0.0246356676 0.0307960409 0.0254397652 0.0430583255 0.0259283155
V5 dsxM 0.0184407572 0.0275467756 0.0178830240 0.0440656036 0.0251238331
V6 fruC 0.0249919602 0.0233098416 0.0297082545 0.0306217858 0.0279997370
V7 her 0.0340302777 0.0395798940 0.0388342412 0.0290241938 0.0232105708
V8 usp 0.0324390979 0.0413320000 0.0324779812 0.0439166404 0.0263861781
V9 EcRA 0.0184063039 0.0268562183 0.0138810393 0.0403468308 0.0235678273
V10 EcRB 0.0182446839 0.0240539232 0.0189791184 0.0433637906 0.0279873846
V11 tra 0.0446527076 0.0354065085 0.0450010140 0.0370560173 0.0243029421
V12 tra2 0.0354065085 0.0474050391 0.0406787292 0.0364069262 0.0262933454
V13 Rbp1 0.0450010140 0.0406787292 0.0643680564 0.0348515555 0.0272615430
The SAS System 16:44 Saturday, March 28, 2009 14
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Predicted Model Matrix
V11 V12 V13 V14 V15
V14 Rbp1D 0.0370560173 0.0364069262 0.0348515555 0.0728046535 0.0421250984
V15 Rbp1-like 0.0243029421 0.0262933454 0.0272615430 0.0421250984 0.0474305061
V16 Sxl 0.0418438656 0.0442334305 0.0409784206 0.0380223672 0.0260330216
V17 SxlM 0.0186782025 0.0244110511 0.0144407407 0.0388835503 0.0298616809
Predicted Model Matrix
V16 V17
V1 Yp3 0.0862130284 0.0278312793
V2 Aef1 0.0449452619 0.0322827672
V3 dsxF 0.0167690301 0.0185360099
V4 ix 0.0251584386 0.0360748470
V5 dsxM 0.0245542898 0.0262418000
V6 fruC 0.0242941528 0.0180116360
V7 her 0.0466519143 0.0182624043
V8 usp 0.0419215322 0.0332386522
V9 EcRA 0.0228265098 0.0353469686
V10 EcRB 0.0124277710 0.0384524698
V11 tra 0.0418438656 0.0186782025
V12 tra2 0.0442334305 0.0244110511
V13 Rbp1 0.0409784206 0.0144407407
V14 Rbp1D 0.0380223672 0.0388835503
V15 Rbp1-like 0.0260330216 0.0298616809
V16 Sxl 0.0667731714 0.0257715354
V17 SxlM 0.0257715354 0.0479767957
Determinant 1.074373E-29 Ln -66.703231
The SAS System 16:44 Saturday, March 28, 2009 15
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Fit Function 1.9501
Goodness of Fit Index (GFI) 0.8522
GFI Adjusted for Degrees of Freedom (AGFI) 0.4483
Root Mean Square Residual (RMR) 0.0039
Parsimonious GFI (Mulaik, 1989) 0.2569
Chi-Square 138.4588
Chi-Square DF 41
Pr > Chi-Square <.0001
Independence Model Chi-Square 1423.5
Independence Model Chi-Square DF 136
RMSEA Estimate 0.1830
RMSEA 90% Lower Confidence Limit 0.1500
RMSEA 90% Upper Confidence Limit 0.2170
ECVI Estimate 3.8369
ECVI 90% Lower Confidence Limit 4.5128
ECVI 90% Upper Confidence Limit 5.6457
Probability of Close Fit 0.0000
Bentler's Comparative Fit Index 0.9243
Normal Theory Reweighted LS Chi-Square 104.7054
Akaike's Information Criterion 56.4588
Bozdogan's (1987) CAIC -77.8846
Schwarz's Bayesian Criterion -36.8846
McDonald's (1989) Centrality 0.5082
Bentler & Bonett's (1980) Non-normed Index 0.7489
Bentler & Bonett's (1980) NFI 0.9027
James, Mulaik, & Brett (1982) Parsimonious NFI 0.2721
Z-Test of Wilson & Hilferty (1931) 6.8693
Bollen (1986) Normed Index Rho1 0.6774
Bollen (1988) Non-normed Index Delta2 0.9295
Hoelter's (1983) Critical N 31
The SAS System 16:44 Saturday, March 28, 2009 16
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Raw Residual Matrix
V1 V2 V3 V4 V5
V1 Yp3 -.0083680787 -.0001720404 -.0196162287 0.0035501569 0.0031318406
V2 Aef1 -.0001720404 0.0000004526 -.0006952630 0.0000000000 0.0028929618
V3 dsxF -.0196162287 -.0006952630 -.0011013049 0.0110314171 -.0004045860
V4 ix 0.0035501569 0.0000000000 0.0110314171 -.0000000464 0.0041004046
V5 dsxM 0.0031318406 0.0028929618 -.0004045860 0.0041004046 -.0012011229
V6 fruC -.0058440837 -.0027999174 -.0007349274 -.0059418034 0.0040444307
V7 her -.0033556862 0.0000000000 -.0079231146 0.0000000000 0.0019907463
V8 usp -.0006063915 0.0000000000 0.0046319933 0.0000000000 0.0056891389
V9 EcRA 0.0044633972 0.0000000000 0.0144648777 0.0000000000 0.0032062859
V10 EcRB 0.0033110566 0.0000000000 0.0200273295 0.0000000000 0.0047375623
V11 tra 0.0158713829 0.0022070638 0.0012664606 0.0000918769 0.0015446589
V12 tra2 0.0043601670 0.0000000000 -.0014074672 0.0000000000 -.0012519051
V13 Rbp1 0.0118154009 0.0000000000 -.0000026146 0.0000000000 0.0000095605
V14 Rbp1D -.0037438097 0.0000000000 -.0000030766 0.0000000000 -.0000059699
V15 Rbp1-like -.0111831139 0.0000000000 0.0000071889 0.0000000000 0.0000127705
V16 Sxl 0.0014285945 0.0000000000 -.0085677245 0.0000000000 0.0043694568
V17 SxlM -.0028712058 0.0000000000 0.0074913236 0.0000000000 0.0070416763
Raw Residual Matrix
V6 V7 V8 V9 V10
V1 Yp3 -.0058440837 -.0033556862 -.0006063915 0.0044633972 0.0033110566
V2 Aef1 -.0027999174 0.0000000000 0.0000000000 0.0000000000 0.0000000000
V3 dsxF -.0007349274 -.0079231146 0.0046319933 0.0144648777 0.0200273295
V4 ix -.0059418034 0.0000000000 0.0000000000 0.0000000000 0.0000000000
V5 dsxM 0.0040444307 0.0019907463 0.0056891389 0.0032062859 0.0047375623
V6 fruC -.0000304781 0.0011383241 -.0019252930 -.0053647632 -.0015642591
V7 her 0.0011383241 0.0000002240 0.0000000000 0.0000000000 0.0000000000
V8 usp -.0019252930 0.0000000000 -.0000006402 0.0000000000 0.0000000000
V9 EcRA -.0053647632 0.0000000000 0.0000000000 0.0000001787 0.0000003001
V10 EcRB -.0015642591 0.0000000000 0.0000000000 0.0000003001 0.0000008639
V11 tra -.0001125403 0.0025976777 0.0010193179 0.0013296686 -.0000538904
V12 tra2 0.0004396758 0.0000000000 0.0000000000 0.0000000000 0.0000000000
V13 Rbp1 0.0000081021 0.0000000000 0.0000000000 0.0000000000 0.0000000000
V14 Rbp1D 0.0000042157 0.0000000000 0.0000000000 0.0000000000 0.0000000000
V15 Rbp1-like -.0000043728 0.0000000000 0.0000000000 0.0000000000 0.0000000000
V16 Sxl -.0027028911 0.0000000000 0.0000000000 0.0000000000 0.0000000000
V17 SxlM -.0023345849 0.0000000000 0.0000000000 0.0000000000 0.0000000000
Raw Residual Matrix
V11 V12 V13 V14 V15
V1 Yp3 0.0158713829 0.0043601670 0.0118154009 -.0037438097 -.0111831139
V2 Aef1 0.0022070638 0.0000000000 0.0000000000 0.0000000000 0.0000000000
The SAS System 16:44 Saturday, March 28, 2009 17
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Raw Residual Matrix
V11 V12 V13 V14 V15
V3 dsxF 0.0012664606 -.0014074672 -.0000026146 -.0000030766 0.0000071889
V4 ix 0.0000918769 0.0000000000 0.0000000000 0.0000000000 0.0000000000
V5 dsxM 0.0015446589 -.0012519051 0.0000095605 -.0000059699 0.0000127705
V6 fruC -.0001125403 0.0004396758 0.0000081021 0.0000042157 -.0000043728
V7 her 0.0025976777 0.0000000000 0.0000000000 0.0000000000 0.0000000000
V8 usp 0.0010193179 0.0000000000 0.0000000000 0.0000000000 0.0000000000
V9 EcRA 0.0013296686 0.0000000000 0.0000000000 0.0000000000 0.0000000000
V10 EcRB -.0000538904 0.0000000000 0.0000000000 0.0000000000 0.0000000000
V11 tra -.0000002496 0.0032457838 -.0000010462 -.0000004723 -.0000002699
V12 tra2 0.0032457838 -.0000004657 0.0000000000 0.0000000000 0.0000000000
V13 Rbp1 -.0000010462 0.0000000000 -.0000015713 -.0000014950 0.0000000000
V14 Rbp1D -.0000004723 0.0000000000 -.0000014950 0.0000009616 -.0000013386
V15 Rbp1-like -.0000002699 0.0000000000 0.0000000000 -.0000013386 -.0000005321
V16 Sxl -.0000000954 0.0000000000 0.0000000000 0.0000000000 0.0000000000
V17 SxlM -.0000001476 0.0000000000 0.0000000000 0.0000000000 0.0000000000
Raw Residual Matrix
V16 V17
V1 Yp3 0.0014285945 -.0028712058
V2 Aef1 0.0000000000 0.0000000000
V3 dsxF -.0085677245 0.0074913236
V4 ix 0.0000000000 0.0000000000
V5 dsxM 0.0043694568 0.0070416763
V6 fruC -.0027028911 -.0023345849
V7 her 0.0000000000 0.0000000000
V8 usp 0.0000000000 0.0000000000
V9 EcRA 0.0000000000 0.0000000000
V10 EcRB 0.0000000000 0.0000000000
V11 tra -.0000000954 -.0000001476
V12 tra2 0.0000000000 0.0000000000
V13 Rbp1 0.0000000000 0.0000000000
V14 Rbp1D 0.0000000000 0.0000000000
V15 Rbp1-like 0.0000000000 0.0000000000
V16 Sxl -.0000001792 -.0000003991
V17 SxlM -.0000003991 0.0000002746
Average Absolute Residual 0.001702
Average Off-diagonal Absolute Residual 0.001837
The SAS System 16:44 Saturday, March 28, 2009 18
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Rank Order of the 10 Largest Raw Residuals
Row Column Residual
V10 V3 0.02003
V3 V1 -0.01962
V11 V1 0.01587
V9 V3 0.01446
V13 V1 0.01182
V15 V1 -0.01118
V4 V3 0.01103
V16 V3 -0.00857
V1 V1 -0.00837
V7 V3 -0.00792
The SAS System 16:44 Saturday, March 28, 2009 19
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Asymptotically Standardized Residual Matrix
V1 V2 V3 V4 V5
V1 Yp3 -0.276408560 -0.012090387 -2.269754399 0.284140351 0.312500573
V2 Aef1 -0.012090387 0.000056715 -0.153699544 0.000000000 0.501512347
V3 dsxF -2.269754399 -0.153699544 -0.459174859 2.067591406 -0.101042028
V4 ix 0.284140351 0.000000000 2.067591406 -0.000004963 0.639548075
V5 dsxM 0.312500573 0.501512347 -0.101042028 0.639548075 -0.247519846
V6 fruC -0.640475775 -0.579073267 -0.195874611 -1.079766625 1.016450543
V7 her -0.234918805 0.000000000 -1.821059583 0.000000000 0.367773476
V8 usp -0.042094835 0.000000000 0.906586423 0.000000000 0.878234974
V9 EcRA 0.371726780 0.000000000 2.738318425 0.000000000 0.504516074
V10 EcRB 0.267960823 0.000000000 3.585715820 0.000000000 0.718175727
V11 tra 1.292219944 0.353287677 0.385966803 0.014392751 0.331075078
V12 tra2 0.322853556 0.000000000 -0.358398513 0.000000000 -0.226652893
V13 Rbp1 0.800021271 0.000000000 -0.000673282 0.000000000 0.001755456
V14 Rbp1D -0.254496775 0.000000000 -0.000612849 0.000000000 -0.000826457
V15 Rbp1-like -0.926661269 0.000000000 0.001951922 0.000000000 0.002501426
V16 Sxl 0.083641471 0.000000000 -1.711249660 0.000000000 0.690199373
V17 SxlM -0.233058756 0.000000000 1.573626262 0.000000000 1.214460582
Asymptotically Standardized Residual Matrix
V6 V7 V8 V9 V10
V1 Yp3 -0.640475775 -0.234918805 -0.042094835 0.371726780 0.267960823
V2 Aef1 -0.579073267 0.000000000 0.000000000 0.000000000 0.000000000
V3 dsxF -0.195874611 -1.821059583 0.906586423 2.738318425 3.585715820
V4 ix -1.079766625 0.000000000 0.000000000 0.000000000 0.000000000
V5 dsxM 1.016450543 0.367773476 0.878234974 0.504516074 0.718175727
V6 fruC -0.008989606 0.226556280 -0.355141835 -1.016738211 -0.274963852
V7 her 0.226556280 0.000027565 0.000000000 0.000000000 0.000000000
V8 usp -0.355141835 0.000000000 -0.000066445 0.000000000 0.000000000
V9 EcRA -1.016738211 0.000000000 0.000000000 0.000019719 0.000034091
V10 EcRB -0.274963852 0.000000000 0.000000000 0.000034091 0.000086454
V11 tra -0.026112567 0.393161222 0.147462816 0.219774784 -0.008646639
V12 tra2 0.094983803 0.000000000 0.000000000 0.000000000 0.000000000
V13 Rbp1 0.001470557 0.000000000 0.000000000 0.000000000 0.000000000
V14 Rbp1D 0.000749309 0.000000000 0.000000000 0.000000000 0.000000000
V15 Rbp1-like -0.000920765 0.000000000 0.000000000 0.000000000 0.000000000
V16 Sxl -0.465849869 0.000000000 0.000000000 0.000000000 0.000000000
V17 SxlM -0.467964708 0.000000000 0.000000000 0.000000000 0.000000000
Asymptotically Standardized Residual Matrix
V11 V12 V13 V14 V15
V1 Yp3 1.292219944 0.322853556 0.800021271 -0.254496775 -0.926661269
V2 Aef1 0.353287677 0.000000000 0.000000000 0.000000000 0.000000000
The SAS System 16:44 Saturday, March 28, 2009 20
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Asymptotically Standardized Residual Matrix
V11 V12 V13 V14 V15
V3 dsxF 0.385966803 -0.358398513 -0.000673282 -0.000612849 0.001951922
V4 ix 0.014392751 0.000000000 0.000000000 0.000000000 0.000000000
V5 dsxM 0.331075078 -0.226652893 0.001755456 -0.000826457 0.002501426
V6 fruC -0.026112567 0.094983803 0.001470557 0.000749309 -0.000920765
V7 her 0.393161222 0.000000000 0.000000000 0.000000000 0.000000000
V8 usp 0.147462816 0.000000000 0.000000000 0.000000000 0.000000000
V9 EcRA 0.219774784 0.000000000 0.000000000 0.000000000 0.000000000
V10 EcRB -0.008646639 0.000000000 0.000000000 0.000000000 0.000000000
V11 tra -0.000040563 0.491391901 -0.000135512 -0.000063625 -0.000047130
V12 tra2 0.491391901 -0.000059306 0.000000000 0.000000000 0.000000000
V13 Rbp1 -0.000135512 0.000000000 -0.000152069 -0.000169999 0.000000000
V14 Rbp1D -0.000063625 0.000000000 -0.000169999 0.000084975 -0.000167818
V15 Rbp1-like -0.000047130 0.000000000 0.000000000 -0.000167818 -0.000075144
V16 Sxl -0.000012407 0.000000000 0.000000000 0.000000000 0.000000000
V17 SxlM -0.000027066 0.000000000 0.000000000 0.000000000 0.000000000
Asymptotically Standardized Residual Matrix
V16 V17
V1 Yp3 0.083641471 -0.233058756
V2 Aef1 0.000000000 0.000000000
V3 dsxF -1.711249660 1.573626262
V4 ix 0.000000000 0.000000000
V5 dsxM 0.690199373 1.214460582
V6 fruC -0.465849869 -0.467964708
V7 her 0.000000000 0.000000000
V8 usp 0.000000000 0.000000000
V9 EcRA 0.000000000 0.000000000
V10 EcRB 0.000000000 0.000000000
V11 tra -0.000012407 -0.000027066
V12 tra2 0.000000000 0.000000000
V13 Rbp1 0.000000000 0.000000000
V14 Rbp1D 0.000000000 0.000000000
V15 Rbp1-like 0.000000000 0.000000000
V16 Sxl -0.000016315 -0.000055366
V17 SxlM -0.000055366 0.000035368
Average Standardized Residual 0.250043
Average Off-diagonal Standardized Residual 0.273998
The SAS System 16:44 Saturday, March 28, 2009 21
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Rank Order of the 10 Largest Asymptotically Standardized Residuals
Row Column Residual
V10 V3 3.58572
V9 V3 2.73832
V3 V1 -2.26975
V4 V3 2.06759
V7 V3 -1.82106
V16 V3 -1.71125
V17 V3 1.57363
V11 V1 1.29222
V17 V5 1.21446
V6 V4 -1.07977
The SAS System 16:44 Saturday, March 28, 2009 22
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Distribution of Asymptotically Standardized Residuals
Each * Represents 4 Residuals
------Range------Freq Percent
-2.50000 -2.25000 1 0.65
-2.25000 -2.00000 0 0.00
-2.00000 -1.75000 1 0.65
-1.75000 -1.50000 1 0.65
-1.50000 -1.25000 0 0.00
-1.25000 -1.00000 2 1.31
-1.00000 -0.75000 1 0.65
-0.75000 -0.50000 2 1.31
-0.50000 -0.25000 8 5.23 **
-0.25000 0 31 20.26 *******
0 0.25000 80 52.29 ********************
0.25000 0.50000 11 7.19 **
0.50000 0.75000 5 3.27 *
0.75000 1.00000 3 1.96
1.00000 1.25000 2 1.31
1.25000 1.50000 1 0.65
1.50000 1.75000 1 0.65
1.75000 2.00000 0 0.00
2.00000 2.25000 1 0.65
2.25000 2.50000 0 0.00
2.50000 2.75000 1 0.65
2.75000 3.00000 0 0.00
3.00000 3.25000 0 0.00
3.25000 3.50000 0 0.00
3.50000 3.75000 1 0.65
The SAS System 16:44 Saturday, March 28, 2009 23
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Manifest Variable Equations with Estimates
V1 = 0.2364*V3 + -0.4540*V5 + -0.4658*V6 + 1.3961*V2
Std Err 0.1996 PV3V1 0.2388 PV5V1 0.2045 PV6V1 0.3093 PV2V1
t Value 1.1844 -1.9011 -2.2779 4.5141
+ 0.1762*V4 + 0.5786*V7 + 0.5252*V8 + 0.00489*V9 + -0.9329*V10
0.3067 PV4V1 0.2580 PV7V1 0.2939 PV8V1 0.3161 PV9V1 0.2816 PV10V1
0.5744 2.2425 1.7874 0.0155 -3.3126
+ 1.0000 E1
V3 = -0.4391*V11 + 0.3953*V12 + 0.0388*V13 + 0.4019*V14
Std Err 0.1991 PV11V3 0.1507 PV12V3 0.1487 PV13V3 0.1190 PV14V3
t Value -2.2049 2.6242 0.2611 3.3763
+ 0.0302*V15 + 1.0000 E3
0.1313 PV15V3
0.2297
V5 = -0.3854*V11 + 0.4789*V12 + -0.0724*V13 + 0.6282*V14
Std Err 0.1349 PV11V5 0.1021 PV12V5 0.1007 PV13V5 0.0807 PV14V5
t Value -2.8559 4.6914 -0.7186 7.7890
+ -0.0546*V15 + 1.0000 E5
0.0890 PV15V5
-0.6141
V6 = 0.1318*V11 + -0.0267*V12 + 0.1975*V13 + 0.0554*V14
Std Err 0.1776 PV11V6 0.1343 PV12V6 0.1326 PV13V6 0.1061 PV14V6
t Value 0.7423 -0.1984 1.4895 0.5222
+ 0.3748*V15 + 1.0000 E6
0.1171 PV15V6
3.2015
The SAS System 16:44 Saturday, March 28, 2009 24
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
V11 = 0.4528*V13 + 0.1923*V14 + -0.0589*V15 + 0.2657*V16
Std Err 0.0574 PV13V11 0.0634 PV14V11 0.0741 PV15V11 0.0564 PV16V11
t Value 7.8851 3.0321 -0.7939 4.7137
+-0.00887*V17 + 1.0000 E11
0.0691 PV17V11
-0.1284
Variances of Exogenous Variables
Standard
Variable Parameter Estimate Error t Value
V2 VARV2 0.04826 0.00139 34.82
V4 VARV4 0.05699 0.00202 28.17
V7 VARV7 0.04955 0.00176 28.17
V8 VARV8 0.05881 0.00214 27.52
V9 VARV9 0.05575 0.00233 23.95
V10 VARV10 0.06115 0.00234 26.10
V12 VARV12 0.04741 0.00128 37.14
V13 VARV13 0.06437 0.00315 20.41
V14 VARV14 0.07280 0.00461 15.79
V15 VARV15 0.04743 0.00364 13.04
V16 VARV16 0.06677 0.00223 29.99
V17 VARV17 0.04798 0.00213 22.48
E1 VARE1 0.08390 0.01408 5.96
E3 VARE3 0.02640 0.00443 5.96
E5 VARE5 0.01212 0.00203 5.96
E6 VARE6 0.02100 0.00352 5.96
E11 VARE11 0.00763 0.00128 5.96
Covariances Among Exogenous Variables
Standard
Var1 Var2 Parameter Estimate Error t Value
V2 V4 0.03204
V2 V7 0.03580
V4 V7 0.01951
V2 V8 0.04274
V4 V8 0.04191
V7 V8 0.03511
V2 V9 0.02912
V4 V9 0.04728
The SAS System 16:44 Saturday, March 28, 2009 25
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Covariances Among Exogenous Variables
Standard
Var1 Var2 Parameter Estimate Error t Value
V7 V9 0.01566
V8 V9 0.03809
V2 V10 0.02426
V4 V10 0.04689
V7 V10 0.01064
V8 V10 0.03677
V9 V10 CV9V10 0.04835 0.00185 26.10
V2 V12 0.03750
V4 V12 0.03080
V7 V12 0.03958
V8 V12 0.04133
V9 V12 0.02686
V10 V12 0.02405
V2 V13 0.02738
V4 V13 0.02544
V7 V13 0.03883
V8 V13 0.03248
V9 V13 0.01388
V10 V13 0.01898
V12 V13 0.04068
V2 V14 0.03772
V4 V14 0.04306
V7 V14 0.02902
V8 V14 0.04392
V9 V14 0.04035
V10 V14 0.04336
V12 V14 0.03641
V13 V14 CV13V14 0.03485 0.00240 14.50
V2 V15 0.02221
V4 V15 0.02593
V7 V15 0.02321
V8 V15 0.02639
V9 V15 0.02357
V10 V15 0.02799
V12 V15 0.02629
V13 V15 0.02726
V14 V15 CV14V15 0.04213 0.00316 13.32
V2 V16 0.04495
V4 V16 0.02516
V7 V16 0.04665
V8 V16 0.04192
V9 V16 0.02283
V10 V16 0.01243
V12 V16 0.04423
V13 V16 0.04098
The SAS System 16:44 Saturday, March 28, 2009 26
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Covariances Among Exogenous Variables
Standard
Var1 Var2 Parameter Estimate Error t Value
V14 V16 0.03802
V15 V16 0.02603
V2 V17 0.03228
V4 V17 0.03607
V7 V17 0.01826
V8 V17 0.03324
V9 V17 0.03535
V10 V17 0.03845
V12 V17 0.02441
V13 V17 0.01444
V14 V17 0.03888
V15 V17 0.02986
V16 V17 CV16V17 0.02577 0.00159 16.25
The SAS System 16:44 Saturday, March 28, 2009 27
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Manifest Variable Equations with Standardized Estimates
V1 = 0.0937*V3 + -0.1817*V5 + -0.1831*V6 + 0.5903*V2
PV3V1 PV5V1 PV6V1 PV2V1
+ 0.0809*V4 + 0.2479*V7 + 0.2451*V8 + 0.00222*V9 + -0.4440*V10
PV4V1 PV7V1 PV8V1 PV9V1 PV10V1
+ 0.5575 E1
V3 = -0.4507*V11 + 0.4181*V12 + 0.0478*V13 + 0.5267*V14
PV11V3 PV12V3 PV13V3 PV14V3
+ 0.0319*V15 + 0.7892 E3
PV15V3
V5 = -0.3917*V11 + 0.5015*V12 + -0.0883*V13 + 0.8153*V14
PV11V5 PV12V5 PV13V5 PV14V5
+ -0.0572*V15 + 0.5296 E5
PV15V5
V6 = 0.1364*V11 + -0.0284*V12 + 0.2452*V13 + 0.0732*V14
PV11V6 PV12V6 PV13V6 PV14V6
+ 0.3996*V15 + 0.7093 E6
PV15V6
V11 = 0.5437*V13 + 0.2455*V14 + -0.0607*V15 + 0.3249*V16
PV13V11 PV14V11 PV15V11 PV16V11
+-0.00920*V17 + 0.4134 E11
PV17V11
The SAS System 16:44 Saturday, March 28, 2009 28
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Squared Multiple Correlations
Error Total
Variable Variance Variance R-Square
1 V1 0.08390 0.26999 0.6892
2 V3 0.02640 0.04239 0.3771
3 V5 0.01212 0.04322 0.7195
4 V6 0.02100 0.04173 0.4968
5 V11 0.00763 0.04465 0.8291
Correlations Among Exogenous Variables
Var1 Var2 Parameter Estimate
V2 V4 0.61101
V2 V7 0.73217
V4 V7 0.36712
V2 V8 0.80224
V4 V8 0.72396
V7 V8 0.65053
V2 V9 0.56136
V4 V9 0.83882
V7 V9 0.29798
V8 V9 0.66529
V2 V10 0.44664
V4 V10 0.79427
V7 V10 0.19332
V8 V10 0.61307
V9 V10 CV9V10 0.82815
V2 V12 0.78409
V4 V12 0.59251
V7 V12 0.81669
V8 V12 0.78282
V9 V12 0.52242
V10 V12 0.44674
V2 V13 0.49118
V4 V13 0.42004
V7 V13 0.68766
V8 V13 0.52789
V9 V13 0.23172
V10 V13 0.30250
V12 V13 0.73641
V2 V14 0.63644
V4 V14 0.66848
V7 V14 0.48325
V8 V14 0.67118
V9 V14 0.63331
V10 V14 0.64988
The SAS System 16:44 Saturday, March 28, 2009 29
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Correlations Among Exogenous Variables
Var1 Var2 Parameter Estimate
V12 V14 0.61972
V13 V14 CV13V14 0.50911
V2 V15 0.46415
V4 V15 0.49872
V7 V15 0.47880
V8 V15 0.49961
V9 V15 0.45833
V10 V15 0.51966
V12 V15 0.55450
V13 V15 0.49339
V14 V15 CV14V15 0.71686
V2 V16 0.79177
V4 V16 0.40784
V7 V16 0.81108
V8 V16 0.66900
V9 V16 0.37413
V10 V16 0.19448
V12 V16 0.78621
V13 V16 0.62506
V14 V16 0.54533
V15 V16 0.46259
V2 V17 0.67092
V4 V17 0.68992
V7 V17 0.37457
V8 V17 0.62577
V9 V17 0.68347
V10 V17 0.70989
V12 V17 0.51187
V13 V17 0.25986
V14 V17 0.65792
V15 V17 0.62599
V16 V17 CV16V17 0.45533
The SAS System 16:44 Saturday, March 28, 2009 30
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_ [17:17]
Symmetric Matrix
Univariate Tests for Constant Constraints
Lagrange Multiplier or Wald Index / Probability / Approx Change of Value
V2 V4 V7 V8 V9 V10
V2 1212.4699 0.0000 0.0000 0.0000 0.0000 0.0000
. 1.0000 0.9998 1.0000 1.0000 0.9999
. -0.0000 -0.0000 0.0000 0.0000 -0.0000
[VARV2]
V4 0.0000 793.3019 0.0000 0.0000 0.0000 0.0000
1.0000 . 1.0000 0.9999 0.9999 0.9998
-0.0000 . -0.0000 0.0000 -0.0000 -0.0000
[VARV4]
V7 0.0000 0.0000 793.4599 0.0000 0.0000 0.0000
0.9998 1.0000 . 1.0000 1.0000 1.0000
-0.0000 -0.0000 . 0.0000 -0.0000 0.0000
[VARV7]
V8 0.0000 0.0000 0.0000 757.1513 0.0000 0.0000
1.0000 0.9999 1.0000 . 1.0000 1.0000
0.0000 0.0000 0.0000 . 0.0000 -0.0000
[VARV8]
V9 0.0000 0.0000 0.0000 0.0000 573.7400 681.1925
1.0000 0.9999 1.0000 1.0000 . .
0.0000 -0.0000 -0.0000 0.0000 . .
[VARV9] [CV9V10]
V10 0.0000 0.0000 0.0000 0.0000 681.1925 681.2238
0.9999 0.9998 1.0000 1.0000 . .
-0.0000 -0.0000 0.0000 -0.0000 . .
[CV9V10] [VARV10]
V12 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
1.0000 0.9999 0.9999 0.9998 0.9999 0.9998
0.0000 -0.0000 0.0000 -0.0000 -0.0000 0.0000
V13 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
1.0000 0.9998 1.0000 0.9999 0.9998 0.9999
0.0000 0.0000 -0.0000 -0.0000 0.0000 -0.0000
The SAS System 16:44 Saturday, March 28, 2009 31
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_ [17:17]
Symmetric Matrix
Univariate Tests for Constant Constraints
Lagrange Multiplier or Wald Index / Probability / Approx Change of Value
V12 V13 V14 V15 V16 V17
V2 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
1.0000 1.0000 0.9996 0.9997 0.9999 0.9997
0.0000 0.0000 -0.0000 0.0000 -0.0000 -0.0000
V4 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.9999 0.9998 0.9999 0.9999 0.9999 0.9999
-0.0000 0.0000 0.0000 -0.0000 0.0000 -0.0000
V7 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.9999 1.0000 0.9997 0.9998 0.9999 0.9999
0.0000 -0.0000 0.0000 -0.0000 0.0000 0.0000
V8 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.9998 0.9999 1.0000 1.0000 1.0000 0.9999
-0.0000 -0.0000 -0.0000 -0.0000 -0.0000 0.0000
V9 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.9999 0.9998 0.9997 0.9999 1.0000 1.0000
-0.0000 0.0000 -0.0000 0.0000 -0.0000 0.0000
V10 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.9998 0.9999 1.0000 0.9999 0.9998 0.9996
0.0000 -0.0000 0.0000 -0.0000 -0.0000 0.0000
V12 1379.5920 0.0000 0.0000 0.0000 0.0000 0.0000
. 0.9996 0.9997 0.9999 1.0000 0.9999
. -0.0000 -0.0000 0.0000 0.0000 -0.0000
[VARV12]
V13 0.0000 416.5947 210.2592 0.0000 0.0000 0.0000
0.9996 . . 0.9996 0.9999 0.9999
-0.0000 . . 0.0000 -0.0000 -0.0000
[VARV13] [CV13V14]
The SAS System 16:44 Saturday, March 28, 2009 32
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_ [17:17]
Symmetric Matrix
Univariate Tests for Constant Constraints
Lagrange Multiplier or Wald Index / Probability / Approx Change of Value
E1 E3 E5 E6 E11
V2 0.4428 0.6277 1.2503 0.7560 1.0029
0.5058 0.4282 0.2635 0.3846 0.3166
-0.0034 0.0014 -0.0013 -0.0013 0.0009
V4 3.3139 1.2947 0.0371 1.2897 0.5100
0.0687 0.2552 0.8472 0.2561 0.4752
-0.0196 -0.0023 0.0003 -0.0021 -0.0008
V7 2.0061 0.9263 2.0513 0.6774 0.5031
0.1567 0.3358 0.1521 0.4105 0.4781
-0.0076 -0.0019 0.0019 0.0014 0.0007
V8 1.4531 0.0483 3.5350 0.0353 0.5769
0.2280 0.8261 0.0601 0.8510 0.4475
-0.0168 0.0005 0.0028 0.0004 -0.0009
V9 1.2027 2.2497 0.3134 1.3338 0.8777
0.2728 0.1336 0.5756 0.2481 0.3488
0.0077 0.0028 -0.0007 -0.0019 0.0009
V10 0.0026 3.9480 0.8735 1.1062 0.3822
0.9595 0.0469 0.3500 0.2929 0.5364
0.0003 0.0038 0.0012 0.0018 -0.0006
V12 0.3431 0.0988 12.7221 2.1069 4.2228
0.5580 0.7533 0.0004 0.1466 0.0399
0.0018 -0.0007 -0.0055 0.0029 0.0018
V13 3.9850 6.8569 0.1538 1.4858 1.0503
0.0459 0.0088 0.6949 0.2229 0.3054
0.0097 0.0109 0.0011 -0.0045 -0.0021
The SAS System 16:44 Saturday, March 28, 2009 33
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_ [17:17]
Symmetric Matrix
Univariate Tests for Constant Constraints
Lagrange Multiplier or Wald Index / Probability / Approx Change of Value
V2 V4 V7 V8 V9 V10
V14 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.9996 0.9999 0.9997 1.0000 0.9997 1.0000
-0.0000 0.0000 0.0000 -0.0000 -0.0000 0.0000
V15 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.9997 0.9999 0.9998 1.0000 0.9999 0.9999
0.0000 -0.0000 -0.0000 -0.0000 0.0000 -0.0000
V16 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.9999 0.9999 0.9999 1.0000 1.0000 0.9998
-0.0000 0.0000 0.0000 -0.0000 -0.0000 -0.0000
V17 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
0.9997 0.9999 0.9999 0.9999 1.0000 0.9996
-0.0000 -0.0000 0.0000 0.0000 0.0000 0.0000
E1 0.4428 3.3139 2.0061 1.4531 1.2027 0.0026
0.5058 0.0687 0.1567 0.2280 0.2728 0.9595
-0.0034 -0.0196 -0.0076 -0.0168 0.0077 0.0003
E3 0.6277 1.2947 0.9263 0.0483 2.2497 3.9480
0.4282 0.2552 0.3358 0.8261 0.1336 0.0469
0.0014 -0.0023 -0.0019 0.0005 0.0028 0.0038
E5 1.2503 0.0371 2.0513 3.5350 0.3134 0.8735
0.2635 0.8472 0.1521 0.0601 0.5756 0.3500
-0.0013 0.0003 0.0019 0.0028 -0.0007 0.0012
E6 0.7560 1.2897 0.6774 0.0353 1.3338 1.1062
0.3846 0.2561 0.4105 0.8510 0.2481 0.2929
-0.0013 -0.0021 0.0014 0.0004 -0.0019 0.0018
The SAS System 16:44 Saturday, March 28, 2009 34
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_ [17:17]
Symmetric Matrix
Univariate Tests for Constant Constraints
Lagrange Multiplier or Wald Index / Probability / Approx Change of Value
V12 V13 V14 V15 V16 V17
V14 0.0000 210.2592 249.3618 177.3728 0.0000 0.0000
0.9997 . . . 1.0000 0.9998
-0.0000 . . . 0.0000 0.0000
[CV13V14] [VARV14] [CV14V15]
V15 0.0000 0.0000 177.3728 170.0819 0.0000 0.0000
0.9999 0.9996 . . 0.9999 0.9999
0.0000 0.0000 . . -0.0000 -0.0000
[CV14V15] [VARV15]
V16 0.0000 0.0000 0.0000 0.0000 899.3568 264.1026
1.0000 0.9999 1.0000 0.9999 . .
0.0000 -0.0000 0.0000 -0.0000 . .
[VARV16] [CV16V17]
V17 0.0000 0.0000 0.0000 0.0000 264.1026 505.4597
0.9999 0.9999 0.9998 0.9999 . .
-0.0000 -0.0000 0.0000 -0.0000 . .
[CV16V17] [VARV17]
E1 0.3431 3.9850 0.0019 5.7180 0.1878 0.8256
0.5580 0.0459 0.9653 0.0168 0.6647 0.3635
0.0018 0.0097 0.0002 -0.0111 0.0017 0.0034
E3 0.0988 6.8569 17.4689 0.2157 1.0667 0.0118
0.7533 0.0088 0.0000 0.6423 0.3017 0.9135
-0.0007 0.0109 -0.0212 -0.0024 -0.0023 0.0002
E5 12.7221 0.1538 9.2525 4.6563 2.6263 4.7323
0.0004 0.6949 0.0024 0.0309 0.1051 0.0296
-0.0055 0.0011 -0.0104 -0.0076 0.0025 0.0031
E6 2.1069 1.4858 3.9938 1.0691 0.2895 0.0510
0.1466 0.2229 0.0457 0.3011 0.5905 0.8213
0.0029 -0.0045 0.0090 -0.0047 -0.0011 0.0004
The SAS System 16:44 Saturday, March 28, 2009 35
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_ [17:17]
Symmetric Matrix
Univariate Tests for Constant Constraints
Lagrange Multiplier or Wald Index / Probability / Approx Change of Value
E1 E3 E5 E6 E11
V14 0.0019 17.4689 9.2525 3.9938 0.0011
0.9653 0.0000 0.0024 0.0457 0.9741
0.0002 -0.0212 -0.0104 0.0090 0.0001
V15 5.7180 0.2157 4.6563 1.0691 0.0195
0.0168 0.6423 0.0309 0.3011 0.8891
-0.0111 -0.0024 -0.0076 -0.0047 -0.0005
V16 0.1878 1.0667 2.6263 0.2895 7.4738
0.6647 0.3017 0.1051 0.5905 0.0063
0.0017 -0.0023 0.0025 -0.0011 -0.0040
V17 0.8256 0.0118 4.7323 0.0510 0.1743
0.3635 0.9135 0.0296 0.8213 0.6763
0.0034 0.0002 0.0031 0.0004 -0.0007
E1 35.5000 5.7092 3.9446 0.0888 2.5685
. 0.0169 0.0470 0.7658 0.1090
. 0.0412 0.0115 0.0028 0.0050
[VARE1]
E3 5.7092 35.5000 0.1274 0.1179 10.2593
0.0169 . 0.7212 0.7313 0.0014
0.0412 . 0.0008 -0.0010 0.0126
[VARE3]
E5 3.9446 0.1274 35.5000 3.9912 5.0821
0.0470 0.7212 . 0.0457 0.0242
0.0115 0.0008 . 0.0038 -0.0059
[VARE5]
E6 0.0888 0.1179 3.9912 35.5000 1.0575
0.7658 0.7313 0.0457 . 0.3038
0.0028 -0.0010 0.0038 . 0.0037
[VARE6]
The SAS System 16:44 Saturday, March 28, 2009 36
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _PHI_ [17:17]
Symmetric Matrix
Univariate Tests for Constant Constraints
Lagrange Multiplier or Wald Index / Probability / Approx Change of Value
V2 V4 V7 V8 V9 V10
E11 1.0029 0.5100 0.5031 0.5769 0.8777 0.3822
0.3166 0.4752 0.4781 0.4475 0.3488 0.5364
0.0009 -0.0008 0.0007 -0.0009 0.0009 -0.0006
Lagrange Multiplier and Wald Test Indices _PHI_ [17:17]
Symmetric Matrix
Univariate Tests for Constant Constraints
Lagrange Multiplier or Wald Index / Probability / Approx Change of Value
V12 V13 V14 V15 V16 V17
E11 4.2228 1.0503 0.0011 0.0195 7.4738 0.1743
0.0399 0.3054 0.9741 0.8891 0.0063 0.6763
0.0018 -0.0021 0.0001 -0.0005 -0.0040 -0.0007
Lagrange Multiplier and Wald Test Indices _PHI_ [17:17]
Symmetric Matrix
Univariate Tests for Constant Constraints
Lagrange Multiplier or Wald Index / Probability / Approx Change of Value
E1 E3 E5 E6 E11
E11 2.5685 10.2593 5.0821 1.0575 35.5000
0.1090 0.0014 0.0242 0.3038 .
0.0050 0.0126 -0.0059 0.0037 .
[VARE11]
Rank Order of the 10 Largest Lagrange Multipliers in _PHI_
Row Column Chi-Square Pr > ChiSq
E3 V14 17.46892 <.0001
E5 V12 12.72209 0.0004
E11 E3 10.25926 0.0014
E5 V14 9.25254 0.0024
E11 V16 7.47377 0.0063
E3 V13 6.85691 0.0088
E1 V15 5.71798 0.0168
E3 E1 5.70915 0.0169
E11 E5 5.08209 0.0242
The SAS System 16:44 Saturday, March 28, 2009 37
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Rank Order of the 10 Largest Lagrange Multipliers in _PHI_
Row Column Chi-Square Pr > ChiSq
E5 V17 4.73228 0.0296
The SAS System 16:44 Saturday, March 28, 2009 38
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _GAMMA_ [5:12]
General Matrix
Univariate Tests for Constant Constraints
Lagrange Multiplier or Wald Index / Probability / Approx Change of Value
V2 V4 V7 V8 V9 V10
V1 20.3769 0.3299 5.0286 3.1950 0.0002 10.9732
......
......
[PV2V1] [PV4V1] [PV7V1] [PV8V1] [PV9V1] [PV10V1]
V3 0.0136 11.7195 8.3350 3.7138 21.8958 32.4369
0.9072 0.0006 0.0039 0.0540 0.0000 0.0000
0.0179 0.3933 -0.4576 0.2713 0.5407 0.6028
V5 5.5260 3.5615 3.5323 11.5957 2.9120 3.9278
0.0187 0.0591 0.0602 0.0007 0.0879 0.0475
0.2526 0.1471 0.2016 0.3259 0.1339 0.1422
V6 2.1750 4.2616 0.1443 0.7678 3.7315 0.2472
0.1403 0.0390 0.7040 0.3809 0.0534 0.6191
-0.2082 -0.2121 0.0536 -0.1107 -0.1995 -0.0474
V11 4.0857 0.0034 4.4722 0.4525 0.6397 0.0013
0.0432 0.9535 0.0345 0.5012 0.4238 0.9715
0.1990 0.0040 0.1850 0.0477 0.0517 -0.0026
Lagrange Multiplier and Wald Test Indices _GAMMA_ [5:12]
General Matrix
Univariate Tests for Constant Constraints
Lagrange Multiplier or Wald Index / Probability / Approx Change of Value
V12 V13 V14 V15 V16 V17
V1 1.7700 5.0234 0.6650 5.1814 0.9911 0.3508
0.1834 0.0250 0.4148 0.0228 0.3195 0.5536
0.4852 0.5028 -0.2119 -0.5479 0.2815 -0.1646
V3 6.8866 0.0682 11.3997 0.0528 9.7553 6.9708
. . . . 0.0018 0.0083
. . . . -0.4235 0.3457
[PV12V3] [PV13V3] [PV14V3] [PV15V3]
The SAS System 16:44 Saturday, March 28, 2009 39
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _GAMMA_ [5:12]
General Matrix
Univariate Tests for Constant Constraints
Lagrange Multiplier or Wald Index / Probability / Approx Change of Value
V12 V13 V14 V15 V16 V17
V5 22.0093 0.5164 60.6691 0.3772 5.5258 13.4139
. . . . 0.0187 0.0002
. . . . 0.2164 0.3253
[PV12V5] [PV13V5] [PV14V5] [PV15V5]
V6 0.0394 2.2186 0.2727 10.2495 1.2208 0.8513
. . . . 0.2692 0.3562
. . . . -0.1329 -0.1079
[PV12V6] [PV13V6] [PV14V6] [PV15V6]
V11 8.3970 62.1756 9.1937 0.6303 22.2187 0.0165
0.0038 . . . . .
0.2781 . . . . .
[PV13V11] [PV14V11] [PV15V11] [PV16V11] [PV17V11]
Rank Order of the 10 Largest Lagrange Multipliers in _GAMMA_
Row Column Chi-Square Pr > ChiSq
V3 V10 32.43692 <.0001
V3 V9 21.89582 <.0001
V5 V17 13.41393 0.0002
V3 V4 11.71948 0.0006
V5 V8 11.59573 0.0007
V3 V16 9.75528 0.0018
V11 V12 8.39703 0.0038
V3 V7 8.33501 0.0039
V3 V17 6.97076 0.0083
V5 V2 5.52598 0.0187
The SAS System 16:44 Saturday, March 28, 2009 40
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Lagrange Multiplier and Wald Test Indices _BETA_ [5:5]
General Matrix
Identity-Minus-Inverse Model Matrix
Univariate Tests for Constant Constraints
Lagrange Multiplier or Wald Index / Probability / Approx Change of Value
V1 V3 V5 V6 V11
V1 . 1.4027 3.6141 5.1890 6.4564
. . . . 0.0111
. . . . 0.6922
Sing [PV3V1] [PV5V1] [PV6V1]
V3 4.6716 . 0.1316 0.1180 4.8618
0.0307 . 0.7168 0.7312 .
-0.1329 . 0.0625 -0.0457 .
Sing [PV11V3]
V5 4.5820 0.1280 . 4.0026 8.1564
0.0323 0.7205 . 0.0454 .
0.0799 0.0287 . 0.1802 .
Sing [PV11V5]
V6 1.0523 0.1135 4.0299 . 0.5510
0.3050 0.7362 0.0447 . .
-0.0543 -0.0363 0.3120 . .
Sing [PV11V6]
V11 7.1048 18.0014 0.3716 0.7991 .
0.0077 0.0000 0.5421 0.3714 .
0.0749 0.5380 0.0920 0.1550 .
Sing
Rank Order of the 9 Largest Lagrange Multipliers in _BETA_
Row Column Chi-Square Pr > ChiSq
V11 V3 18.00135 <.0001
V11 V1 7.10475 0.0077
V1 V11 6.45640 0.0111
V3 V1 4.67158 0.0307
V5 V1 4.58203 0.0323
V6 V5 4.02988 0.0447
V5 V6 4.00259 0.0454
V6 V1 1.05232 0.3050
V11 V6 0.79907 0.3714
The SAS System 16:44 Saturday, March 28, 2009 41
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Stepwise Multivariate Wald Test
------Cumulative Statistics------Univariate Increment--
Parameter Chi-Square DF Pr > ChiSq Chi-Square Pr > ChiSq
PV9V1 0.0002390 1 0.9877 0.0002390 0.9877
PV17V11 0.01672 2 0.9917 0.01648 0.8978
PV12V6 0.05610 3 0.9965 0.03938 0.8427
PV15V3 0.10886 4 0.9986 0.05276 0.8183
PV13V3 0.19945 5 0.9991 0.09059 0.7634
PV14V6 0.44571 6 0.9984 0.24626 0.6197
PV15V5 0.82289 7 0.9972 0.37718 0.5391
PV4V1 1.23272 8 0.9963 0.40984 0.5221
PV13V5 1.91405 9 0.9928 0.68133 0.4091
PV15V11 2.70129 10 0.9876 0.78724 0.3749
PV11V6 3.75672 11 0.9765 1.05543 0.3043
PV3V1 5.18426 12 0.9515 1.42754 0.2322
PV5V1 7.79091 13 0.8570 2.60665 0.1064
PV8V1 11.33764 14 0.6593 3.54673 0.0597