The SAS System 10:38 Monday, March 30, 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 10:38 Monday, March 30, 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 10:38 Monday, March 30, 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 10:38 Monday, March 30, 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 10:38 Monday, March 30, 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 Yp1 1.04534 0.46147
V2 Aef1 0.44724 0.35199
V3 dsxF 0.20917 0.21811
V4 ix 0.29063 0.27363
V5 dsxM -0.09309 0.25227
V6 fruC -0.01491 0.27897
V7 her 0.38418 0.31743
V8 usp 0.44422 0.38109
V9 EcRA 0.19356 0.25218
V10 EcRB 0.00905 0.25108
V11 tra 0.36880 0.32407
V12 tra2 0.45107 0.32208
V13 Rbp1 0.49041 0.36965
V14 Rbp1D -0.11918 0.28842
V15 Rbp1-like -0.17605 0.29889
V16 Sxl 0.42768 0.37951
V17 SxlM -0.10679 0.29114
Covariances
V1 V2 V3 V4 V5
V1 Yp1 0.2129526083 0.1351421413 0.0647878101 0.0916451319 0.0626157058
V2 Aef1 0.1351421413 0.1238947483 0.0424247265 0.0603282748 0.0437734651
V3 dsxF 0.0647878101 0.0424247265 0.0475725086 0.0487214384 0.0376376551
V4 ix 0.0916451319 0.0603282748 0.0487214384 0.0748759114 0.0534764732
V5 dsxM 0.0626157058 0.0437734651 0.0376376551 0.0534764732 0.0636404460
V6 fruC 0.0894734982 0.0648175824 0.0426898806 0.0552492631 0.0552735032
V7 her 0.1204099653 0.0904574425 0.0433402956 0.0598734547 0.0447985265
V8 usp 0.1555536137 0.1141367846 0.0594855327 0.0807939847 0.0603380291
V9 EcRA 0.0743252168 0.0558100956 0.0449764705 0.0570744792 0.0489984822
V10 EcRB 0.0516983991 0.0342997857 0.0432107470 0.0527384790 0.0507914852
V11 tra 0.1202867355 0.0828287210 0.0466431152 0.0702834823 0.0579179496
V12 tra2 0.1247878933 0.0920063243 0.0481830092 0.0661235272 0.0489589130
V13 Rbp1 0.1361354254 0.0819363579 0.0548848004 0.0815686876 0.0624625549
V14 Rbp1D 0.0688093360 0.0571932742 0.0441734901 0.0590453370 0.0605735085
V15 Rbp1-like 0.0925115059 0.0674063455 0.0499817251 0.0680166884 0.0606056451
V16 Sxl 0.1421696730 0.1158656579 0.0480732466 0.0697778290 0.0479702237
V17 SxlM 0.0739793136 0.0526861824 0.0489093346 0.0618470741 0.0582574158
The SAS System 10:38 Monday, March 30, 2009 6
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Covariances
V6 V7 V8 V9 V10
V1 Yp1 0.0894734982 0.1204099653 0.1555536137 0.0743252168 0.0516983991
V2 Aef1 0.0648175824 0.0904574425 0.1141367846 0.0558100956 0.0342997857
V3 dsxF 0.0426898806 0.0433402956 0.0594855327 0.0449764705 0.0432107470
V4 ix 0.0552492631 0.0598734547 0.0807939847 0.0570744792 0.0527384790
V5 dsxM 0.0552735032 0.0447985265 0.0603380291 0.0489984822 0.0507914852
V6 fruC 0.0778237540 0.0651766919 0.0800971845 0.0476122799 0.0462551223
V7 her 0.0651766919 0.1007589539 0.0949292553 0.0500624624 0.0346190005
V8 usp 0.0800971845 0.0949292553 0.1452266314 0.0694023866 0.0562570432
V9 EcRA 0.0476122799 0.0500624624 0.0694023866 0.0635933122 0.0523428110
V10 EcRB 0.0462551223 0.0346190005 0.0562570432 0.0523428110 0.0630403339
V11 tra 0.0756814283 0.0906994717 0.1001153573 0.0605724358 0.0502220780
V12 tra2 0.0720913421 0.0948343612 0.1009492964 0.0562555808 0.0399599262
V13 Rbp1 0.0845973471 0.0971081788 0.1070199355 0.0645125582 0.0592415302
V14 Rbp1D 0.0582334616 0.0574044293 0.0695768540 0.0566496707 0.0572073534
V15 Rbp1-like 0.0709734441 0.0679456808 0.0871220496 0.0567235289 0.0576955507
V16 Sxl 0.0697286294 0.1034339401 0.1169429006 0.0628346062 0.0406131282
V17 SxlM 0.0547540149 0.0469736267 0.0732968856 0.0562175059 0.0591070795
Covariances
V11 V12 V13 V14 V15
V1 Yp1 0.1202867355 0.1247878933 0.1361354254 0.0688093360 0.0925115059
V2 Aef1 0.0828287210 0.0920063243 0.0819363579 0.0571932742 0.0674063455
V3 dsxF 0.0466431152 0.0481830092 0.0548848004 0.0441734901 0.0499817251
V4 ix 0.0702834823 0.0661235272 0.0815686876 0.0590453370 0.0680166884
V5 dsxM 0.0579179496 0.0489589130 0.0624625549 0.0605735085 0.0606056451
V6 fruC 0.0756814283 0.0720913421 0.0845973471 0.0582334616 0.0709734441
V7 her 0.0906994717 0.0948343612 0.0971081788 0.0574044293 0.0679456808
V8 usp 0.1001153573 0.1009492964 0.1070199355 0.0695768540 0.0871220496
V9 EcRA 0.0605724358 0.0562555808 0.0645125582 0.0566496707 0.0567235289
V10 EcRB 0.0502220780 0.0399599262 0.0592415302 0.0572073534 0.0576955507
V11 tra 0.1050243326 0.0910697595 0.1121223685 0.0710686465 0.0833515534
V12 tra2 0.0910697595 0.1037355529 0.0998005850 0.0556828087 0.0716831872
V13 Rbp1 0.1121223685 0.0998005850 0.1366427715 0.0728511520 0.0943250803
V14 Rbp1D 0.0710686465 0.0556828087 0.0728511520 0.0831874518 0.0741570438
V15 Rbp1-like 0.0833515534 0.0716831872 0.0943250803 0.0741570438 0.0893339966
V16 Sxl 0.0977702249 0.1024982506 0.1027317024 0.0625059970 0.0756463553
V17 SxlM 0.0600567569 0.0524165812 0.0680409551 0.0658684891 0.0712347218
Covariances
V16 V17
V1 Yp1 0.1421696730 0.0739793136
V2 Aef1 0.1158656579 0.0526861824
The SAS System 10:38 Monday, March 30, 2009 7
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Covariances
V16 V17
V3 dsxF 0.0480732466 0.0489093346
V4 ix 0.0697778290 0.0618470741
V5 dsxM 0.0479702237 0.0582574158
V6 fruC 0.0697286294 0.0547540149
V7 her 0.1034339401 0.0469736267
V8 usp 0.1169429006 0.0732968856
V9 EcRA 0.0628346062 0.0562175059
V10 EcRB 0.0406131282 0.0591070795
V11 tra 0.0977702249 0.0600567569
V12 tra2 0.1024982506 0.0524165812
V13 Rbp1 0.1027317024 0.0680409551
V14 Rbp1D 0.0625059970 0.0658684891
V15 Rbp1-like 0.0756463553 0.0712347218
V16 Sxl 0.1440265290 0.0567593152
V17 SxlM 0.0567593152 0.0847644193
Determinant 3.012096E-30 Ln -67.974917
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 10:38 Monday, March 30, 2009 8
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Vector of Initial Estimates
Parameter Estimate Type
1 PV3V1 -0.88433 Matrix Entry: _BETA_[1:2]
2 PV5V1 -0.91855 Matrix Entry: _BETA_[1:3]
3 PV6V1 0.45580 Matrix Entry: _BETA_[1:4]
4 PV11V3 -0.71883 Matrix Entry: _BETA_[2:5]
5 PV11V5 -1.01390 Matrix Entry: _BETA_[3:5]
6 PV11V6 -0.37862 Matrix Entry: _BETA_[4:5]
7 PV2V1 0.04628 Matrix Entry: _GAMMA_[1:1]
8 PV4V1 0.68296 Matrix Entry: _GAMMA_[1:2]
9 PV7V1 0.37694 Matrix Entry: _GAMMA_[1:3]
10 PV8V1 0.67520 Matrix Entry: _GAMMA_[1:4]
11 PV9V1 0.38862 Matrix Entry: _GAMMA_[1:5]
12 PV10V1 0.10312 Matrix Entry: _GAMMA_[1:6]
13 PV12V3 0.42266 Matrix Entry: _GAMMA_[2:7]
14 PV13V3 0.29926 Matrix Entry: _GAMMA_[2:8]
15 PV14V3 0.33654 Matrix Entry: _GAMMA_[2:9]
16 PV15V3 0.29569 Matrix Entry: _GAMMA_[2:10]
17 PV12V5 0.33223 Matrix Entry: _GAMMA_[3:7]
18 PV13V5 0.51281 Matrix Entry: _GAMMA_[3:8]
19 PV14V5 0.75048 Matrix Entry: _GAMMA_[3:9]
20 PV15V5 0.19339 Matrix Entry: _GAMMA_[3:10]
21 PV12V6 0.39671 Matrix Entry: _GAMMA_[4:7]
22 PV13V6 0.26944 Matrix Entry: _GAMMA_[4:8]
23 PV14V6 0.13931 Matrix Entry: _GAMMA_[4:9]
24 PV15V6 0.42928 Matrix Entry: _GAMMA_[4:10]
25 PV13V11 0.55700 Matrix Entry: _GAMMA_[5:8]
26 PV14V11 0.26960 Matrix Entry: _GAMMA_[5:9]
27 PV15V11 0.07476 Matrix Entry: _GAMMA_[5:10]
28 PV16V11 0.17602 Matrix Entry: _GAMMA_[5:11]
29 PV17V11 -0.12878 Matrix Entry: _GAMMA_[5:12]
30 VARV2 0.12389 Matrix Entry: _PHI_[1:1]
31 VARV4 0.07488 Matrix Entry: _PHI_[2:2]
32 VARV7 0.10076 Matrix Entry: _PHI_[3:3]
33 VARV8 0.14523 Matrix Entry: _PHI_[4:4]
34 VARV9 0.06359 Matrix Entry: _PHI_[5:5]
35 CV9V10 0.05234 Matrix Entry: _PHI_[6:5]
36 VARV10 0.06304 Matrix Entry: _PHI_[6:6]
37 VARV12 0.10374 Matrix Entry: _PHI_[7:7]
38 VARV13 0.13664 Matrix Entry: _PHI_[8:8]
39 CV13V14 0.07285 Matrix Entry: _PHI_[9:8]
40 VARV14 0.08319 Matrix Entry: _PHI_[9:9]
41 CV14V15 0.07416 Matrix Entry: _PHI_[10:9]
42 VARV15 0.08933 Matrix Entry: _PHI_[10:10]
43 VARV16 0.14403 Matrix Entry: _PHI_[11:11]
44 CV16V17 0.05676 Matrix Entry: _PHI_[12:11]
45 VARV17 0.08476 Matrix Entry: _PHI_[12:12]
46 VARE1 0.04890 Matrix Entry: _PHI_[13:13]
The SAS System 10:38 Monday, March 30, 2009 9
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation
Vector of Initial Estimates
Parameter Estimate Type
47 VARE3 0.01576 Matrix Entry: _PHI_[14:14]
48 VARE5 0.02418 Matrix Entry: _PHI_[15:15]
49 VARE6 0.01780 Matrix Entry: _PHI_[16:16]
50 VARE11 0.01000 Matrix Entry: _PHI_[17:17]
The SAS System 10:38 Monday, March 30, 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 2.9787986281
Max Abs Gradient Element 22.941970141
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 2.94761 0.0312 1.6159 0.00044 -114.9
2 0 7 0 2.94740 0.000213 1.2261 1.000 -0.0005
3 0 10 0 2.93317 0.0142 13.4296 94.580 -0.0003
4 0 12 0 2.90055 0.0326 9.5931 3.721 -0.0177
5 0 13 0 2.89622 0.00433 0.7257 1.000 -0.0072
6 0 15 0 2.89442 0.00180 6.3431 3.379 -0.0010
7 0 18 0 2.85684 0.0376 12.4422 25.981 -0.0035
8 0 19 0 2.82435 0.0325 9.3585 2.826 -0.0332
9 0 20 0 2.79041 0.0339 9.6946 2.813 -0.0289
10 0 21 0 2.73187 0.0585 6.0101 2.015 -0.0421
11 0 24 0 2.71466 0.0172 30.2131 0.352 -0.122
12 0 26 0 2.67151 0.0431 12.5324 0.429 -0.202
13 0 29 0 2.65765 0.0139 21.9529 0.440 -0.0757
14 0 30 0 2.63396 0.0237 8.2826 0.338 -0.103
15 0 32 0 2.62444 0.00952 5.3183 1.275 -0.0158
16 0 34 0 2.62233 0.00211 2.5029 0.440 -0.0124
17 0 36 0 2.61419 0.00814 4.4104 4.781 -0.0034
18 0 38 0 2.59008 0.0241 6.1788 5.153 -0.0093
19 0 39 0 2.55117 0.0389 6.5964 1.370 -0.0440
20 0 40 0 2.50250 0.0487 8.7645 1.773 -0.0548
21 0 42 0 2.47577 0.0267 5.1643 1.317 -0.0368
22 0 44 0 2.46722 0.00855 2.2689 0.599 -0.0216
23 0 46 0 2.46492 0.00230 0.6639 1.011 -0.0041
24 0 48 0 2.46365 0.00128 2.4988 2.757 -0.0009
25 0 50 0 2.45411 0.00954 6.6222 8.411 -0.0023
26 0 52 0 2.41894 0.0352 6.5008 3.835 -0.0183
27 0 54 0 2.40251 0.0164 5.3026 1.136 -0.0301
28 0 56 0 2.39955 0.00296 1.1674 1.045 -0.0047
29 0 58 0 2.39843 0.00112 2.0821 1.653 -0.0013
30 0 59 0 2.39682 0.00161 1.5853 4.080 -0.0007
31 0 61 0 2.38756 0.00926 7.2531 9.821 -0.0018
32 0 63 0 2.32869 0.0589 8.3006 8.657 -0.0142
The SAS System 10:38 Monday, March 30, 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 64 0 2.31264 0.0161 13.8362 3.436 -0.0428
34 0 65 0 2.28588 0.0268 4.7683 0.517 -0.0775
35 0 67 0 2.27911 0.00677 0.8360 1.107 -0.0120
36 0 69 0 2.27754 0.00157 2.2426 2.791 -0.0012
37 0 71 0 2.26969 0.00784 2.8805 9.067 -0.0017
38 0 73 0 2.25108 0.0186 3.2660 3.443 -0.0114
39 0 75 0 2.24292 0.00816 2.1695 1.252 -0.0141
40 0 77 0 2.24026 0.00266 0.5505 1.517 -0.0036
41 0 79 0 2.23981 0.000450 0.1738 1.499 -0.0006
42 0 81 0 2.23967 0.000138 0.1618 1.968 -0.0001
43 0 82 0 2.23946 0.000209 0.3389 4.503 -0.0001
44 0 84 0 2.23775 0.00171 1.7579 9.179 -0.0004
45 0 86 0 2.22288 0.0149 4.6562 10.622 -0.0028
46 0 88 0 2.19197 0.0309 6.5902 5.448 -0.0136
47 0 89 0 2.16195 0.0300 4.1827 2.460 -0.0314
48 0 91 0 2.15656 0.00538 1.7937 0.865 -0.0090
49 0 93 0 2.15569 0.000873 0.3392 0.717 -0.0020
50 0 95 0 2.15562 0.000076 0.1654 1.221 -0.0001
51 0 97 0 2.15494 0.000674 2.0337 35.506 -38E-6
52 0 99 0 2.14574 0.00921 2.0793 15.061 -0.0011
53 0 101 0 2.13959 0.00614 2.0951 1.793 -0.0067
54 0 103 0 2.13890 0.000696 0.2001 1.200 -0.0012
55 0 105 0 2.13887 0.000028 0.0584 1.207 -471E-7
56 0 107 0 2.13885 0.000017 0.1271 5.064 -681E-8
57 0 110 0 2.13829 0.000567 0.7614 37.766 -3E-5
58 0 112 0 2.13195 0.00634 1.5110 12.441 -0.0010
59 0 114 0 2.13035 0.00160 0.1908 1.216 -0.0026
60 0 116 0 2.13032 0.000021 0.0425 1.000 -433E-7
61 0 118 0 2.13032 6.631E-6 0.1324 4.932 -269E-8
62 0 121 0 2.12976 0.000560 0.9848 100.1 -111E-7
63 0 123 0 2.12784 0.00192 0.2971 4.447 -0.0009
64 0 125 0 2.12781 0.000032 0.0508 1.025 -606E-7
65 0 127 0 2.12781 4.938E-6 0.1897 4.271 -231E-8
66 0 130 0 2.12743 0.000372 1.7190 103.4 -72E-7
67 0 132 0 2.12644 0.000991 0.3087 3.678 -0.0005
68 0 134 0 2.12643 0.000013 0.0136 1.000 -263E-7
69 0 136 0 2.12643 2.79E-7 0.0216 2.623 -213E-9
70 0 139 0 2.12642 8.868E-6 0.1018 53.877 -329E-9
71 0 141 0 2.12642 3.682E-6 0.0206 1.493 -493E-8
72 0 143 0 2.12641 5.254E-6 0.1539 22.865 -46E-8
73 0 145 0 2.12632 0.000088 0.0861 14.192 -925E-8
74 0 147 0 2.12630 0.000020 0.00704 1.026 -398E-7
75 0 149 0 2.12630 1.029E-7 0.00642 1.865 -11E-8
76 0 152 0 2.12629 8.42E-6 0.1167 196.2 -86E-9
77 0 154 0 2.12627 0.000026 0.0376 3.909 -131E-7
The SAS System 10:38 Monday, March 30, 2009 12
The CALIS Procedure
Covariance Structure Analysis: Maximum Likelihood Estimation