j. bauer & patrick curran 1€¦ · 17 _add17 1.58427 -0.01372 . 18 _add18 1.02887 -0.00237 ....
TRANSCRIPT
The MEANS Procedure
Variable N Mean Std Dev Minimum Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
id 405 203.0000000 117.0576781 1.0000000 405.0000000
male 405 0.5012346 0.5006169 0 1.0000000
homecog 405 1.888881E-10 2.5757987 -7.8938272 5.1061728
anti6 122 1.5737705 1.6659846 0 9.0000000
anti7 168 1.5535714 1.5544371 0 7.0000000
anti8 146 1.9657534 1.7981384 0 7.0000000
anti9 192 1.8906250 1.9532536 0 9.0000000
anti10 151 2.1390728 2.1355397 0 10.0000000
anti11 174 1.7931034 1.9481008 0 10.0000000
anti12 135 1.8370370 1.7796839 0 7.0000000
anti13 173 2.2369942 2.2712603 0 10.0000000
anti14 101 1.9603960 2.0876819 0 10.0000000
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
The CALIS Procedure
Mean and Covariance Structures: Model and Initial Values
Modeling Information
Full Information Maximum Likelihood Estimation
Data Set WORK.INITIAL
N Records Read 405
N Complete Records 0
N Incomplete Records 405
N Complete Obs 0
N Incomplete Obs 405
Model Type MSTRUCT
Analysis Means and Covariances
Variables in the Model
anti6 anti7 anti8 anti9 anti10 anti11 anti12 anti13
anti14
Number of Variables = 9
Initial MSTRUCT _MEAN_ Vector
Variable Parameter Estimate
anti6 _Add46 .
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Daniel J. Bauer & Patrick J. Curran 1
anti7 _Add47 .
anti8 _Add48 .
anti9 _Add49 .
anti10 _Add50 .
anti11 _Add51 .
anti12 _Add52 .
anti13 _Add53 .
anti14 _Add54 .
Initial MSTRUCT _COV_ Matrix
anti6 anti7 anti8 anti9 anti10 anti11 anti12 anti13 anti14
anti6 . . . . . . . . .
[_Add01] [_Add02] [_Add04] [_Add07] [_Add11] [_Add16] [_Add22] [_Add29] [_Add37]
anti7 . . . . . . . . .
[_Add02] [_Add03] [_Add05] [_Add08] [_Add12] [_Add17] [_Add23] [_Add30] [_Add38]
anti8 . . . . . . . . .
[_Add04] [_Add05] [_Add06] [_Add09] [_Add13] [_Add18] [_Add24] [_Add31] [_Add39]
anti9 . . . . . . . . .
[_Add07] [_Add08] [_Add09] [_Add10] [_Add14] [_Add19] [_Add25] [_Add32] [_Add40]
anti10 . . . . . . . . .
[_Add11] [_Add12] [_Add13] [_Add14] [_Add15] [_Add20] [_Add26] [_Add33] [_Add41]
anti11 . . . . . . . . .
[_Add16] [_Add17] [_Add18] [_Add19] [_Add20] [_Add21] [_Add27] [_Add34] [_Add42]
anti12 . . . . . . . . .
[_Add22] [_Add23] [_Add24] [_Add25] [_Add26] [_Add27] [_Add28] [_Add35] [_Add43]
anti13 . . . . . . . . .
[_Add29] [_Add30] [_Add31] [_Add32] [_Add33] [_Add34] [_Add35] [_Add36] [_Add44]
anti14 . . . . . . . . .
[_Add37] [_Add38] [_Add39] [_Add40] [_Add41] [_Add42] [_Add43] [_Add44] [_Add45]
The CALIS Procedure
Mean and Covariance Structures: Descriptive Statistics
Proportions of Data Present for Means (Diagonal) and Covariances (Off-Diagonal)
anti6 anti7 anti8 anti9 anti10 anti11 anti12 anti13 anti14
anti6 0.3012
anti7 0.0000 0.4148
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Daniel J. Bauer & Patrick J. Curran 2
anti8 0.0765 0.0000 0.3605
anti9 0.2123 0.2617 0.0000 0.4741
anti10 0.0296 0.1210 0.2420 0.0074 0.3728
anti11 0.1975 0.2025 0.0691 0.3432 0.0025 0.4296
anti12 0.0691 0.1111 0.2000 0.0395 0.2444 0.0346 0.3333
anti13 0.1506 0.2370 0.0543 0.3407 0.0395 0.3580 0.0296 0.4272
anti14 0.0000 0.0864 0.1630 0.0074 0.2099 0.0099 0.2025 0.0272 0.2494
Average Proportion Coverage of Means 0.373663
Average Proportion Coverage of Covariances 0.121674
Rank Order of the 4 Smallest Variable (Mean) Coverages
Variable Coverage
anti14 0.2494
anti6 0.3012
anti12 0.3333
anti8 0.3605
Rank Order of the 10 Smallest Covariance Coverages
Var1 Var2 Coverage
anti7 anti6 0.0000
anti8 anti7 0.0000
anti9 anti8 0.0000
anti14 anti6 0.0000
anti11 anti10 0.0025
anti10 anti9 0.0074
anti14 anti9 0.0074
anti14 anti11 0.0099
anti14 anti13 0.0272
anti10 anti6 0.0296
The CALIS Procedure
Mean and Covariance Structures: Descriptive Statistics
Rank Order of the 5 Most Frequent Missing Patterns
Total Number of Distinct Patterns with Missing Values = 49
NVar
Pattern Miss Freq Proportion Cumulative
1 .x.x.x.x. 5 73 0.1802 0.1802
2 x..x.x.x. 5 53 0.1309 0.3111
3 ..x.x.x.x 5 47 0.1160 0.4272
4 ..x.x.... 7 26 0.0642 0.4914
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Daniel J. Bauer & Patrick J. Curran 3
5 .x..x.x.x 5 25 0.0617 0.5531
NOTE: Nonmissing Pattern Proportion = 0 (N=0)
Means of the Nonmissing and the Most Frequent Missing Patterns
--------------------------Missing Pattern-------------------------
1 2 3 4 5
Variable (N=73) (N=53) (N=47) (N=26) (N=25)
anti6 . 1.58491 . . .
anti7 1.26027 . . . 1.76000
anti8 . . 2.12766 1.80769 .
anti9 1.52055 2.03774 . . .
anti10 . . 2.14894 2.69231 2.24000
anti11 1.75342 2.01887 . . .
anti12 . . 1.89362 . 1.84000
anti13 2.01370 2.39623 . . .
anti14 . . 1.91489 . 2.44000
The CALIS Procedure
Mean and Covariance Structures: Optimization
Initial Estimation Method
1 Observed Moments of Variables
Optimization Start
Parameter Estimates
N Parameter Estimate Gradient
1 _Add01 5.56325 0.03229
2 _Add02 0 0
3 _Add03 4.85416 0.05531
4 _Add04 1.44961 -0.00665
5 _Add05 0 0
6 _Add06 6.48966 0.03749
7 _Add07 0.99794 -0.00577
8 _Add08 1.54522 -0.01791
9 _Add09 0 0
10 _Add10 7.67026 0.04383
11 _Add11 1.75993 -0.00165
12 _Add12 1.07470 -0.00156
13 _Add13 2.14059 -0.01616
14 _Add14 3.83055 -0.0008946
15 _Add15 9.15568 0.02943
16 _Add16 0.95512 -0.00430
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Daniel J. Bauer & Patrick J. Curran 4
17 _Add17 1.58427 -0.01372
18 _Add18 1.02887 -0.00237
19 _Add19 2.07376 -0.01802
20 _Add20 4.13452 -0.0001877
21 _Add21 7.62571 0.04057
22 _Add22 0.26597 0.0008288
23 _Add23 1.05203 -0.00448
24 _Add24 1.42401 -0.01196
25 _Add25 2.42161 -0.00389
26 _Add26 2.07868 -0.01440
27 _Add27 0.06070 0.0004586
28 _Add28 6.35357 0.03545
29 _Add29 1.87104 -0.00769
30 _Add30 1.33339 -0.00595
31 _Add31 2.60603 -0.00390
32 _Add32 2.56694 -0.01818
33 _Add33 3.46352 -0.00207
34 _Add34 2.62079 -0.02253
35 _Add35 2.59577 -0.00211
36 _Add36 10.36518 0.03238
37 _Add37 0 0
38 _Add38 1.87989 -0.00761
39 _Add39 1.61048 -0.00568
40 _Add40 2.38444 -0.0003332
41 _Add41 2.44615 -0.01019
42 _Add42 2.48997 -0.0008768
43 _Add43 1.73996 -0.00916
44 _Add44 3.93730 -0.00224
45 _Add45 8.72104 0.02092
46 _Add46 1.57377 0.00266
47 _Add47 1.55357 -0.00148
48 _Add48 1.96575 0.00152
49 _Add49 1.89063 -0.00331
50 _Add50 2.13907 0.00844
51 _Add51 1.79310 -0.00512
52 _Add52 1.83704 -0.00476
53 _Add53 2.23699 -0.00446
54 _Add54 1.96040 0.0000404
Value of Objective Function = 14.069117253
The CALIS Procedure
Mean and Covariance Structures: Optimization
Newton-Raphson Ridge Optimization
Without Parameter Scaling
Parameter Estimates 54
Functions (Observations) 54
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Optimization Start
Active Constraints 0 Objective Function 14.069117253
Max Abs Gradient Element 0.0553071462
Ratio
Between
Actual
Objective Max Abs and
Function Active Objective Function Gradient Predicted
Iter Restarts Calls Constraints Function Change Element Ridge Change
1* 0 4 0 13.71729 0.3518 0.0591 0.0313 2.105
2* 0 7 0 13.18896 0.5283 0.0478 0.0125 2.034
3* 0 14 0 13.14744 0.0415 0.0451 0.320 1.947
4* 0 20 0 13.14673 0.000712 0.0451 20.48 1.999
5* 0 23 0 13.14602 0.000710 0.0450 20.48 1.999
6* 0 26 0 13.14531 0.000708 0.0449 20.48 1.999
7* 0 30 0 13.14513 0.000177 0.0449 81.92 2.000
8* 0 33 0 13.14496 0.000177 0.0449 81.92 2.000
9* 0 38 0 13.14495 0.000011 0.0449 1311 2.000
10* 0 41 0 13.14493 0.000011 0.0449 1311 2.000
11* 0 44 0 13.14492 0.000011 0.0449 1311 2.000
12* 0 49 0 13.14492 6.915E-7 0.0449 20972 2.000
13* 0 53 0 13.14492 3.457E-7 0.0449 41943 2.000
14* 0 56 0 13.14492 3.457E-7 0.0449 41943 2.000
15* 0 59 0 13.14492 3.462E-7 0.0449 41943 2.003
16* 0 64 0 13.14492 4.305E-8 0.0449 335544 1.992
Optimization Results
Iterations 16 Function Calls 66
Jacobian Calls 17 Active Constraints 0
Objective Function 13.144921326 Max Abs Gradient Element 0.0449022472
Ridge 83886.08 Actual Over Pred Change 1.9920571416
Convergence criterion (GCONV=1E-8) satisfied.
NOTE: At least one element of the gradient is greater than 1e-3.
NOTE: The Moore-Penrose inverse is used in computing the covariance matrix for parameter estimates.
WARNING: Standard errors and t values might not be accurate with the use of the Moore-Penrose inverse.
The CALIS Procedure
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Mean and Covariance Structures: Full Information Maximum Likelihood Estimation
Fit Summary
Modeling Info Number of Complete Observations 0
Number of Incomplete Observations 405
Number of Variables 9
Number of Moments 45
Number of Parameters 45
Number of Active Constraints 0
Saturated Model Estimation FIML
Saturated Model Function Value 13.1449
Saturated Model -2 Log-Likelihood 5323.6931
Baseline Model Estimation Converged
Baseline Model Function Value 13.8437
Baseline Model -2 Log-Likelihood 5606.6868
Baseline Model Chi-Square 282.9936
Baseline Model Chi-Square DF 36
Pr > Baseline Model Chi-Square <.0001
Absolute Index Fit Function 13.1449
-2 Log-Likelihood 5323.6931
Chi-Square 0.0000
Chi-Square DF 0
Pr > Chi-Square .
Z-Test of Wilson & Hilferty .
Hoelter Critical N .
Root Mean Square Residual (RMR) 0.0000
Standardized RMR (SRMR) 0.0000
Goodness of Fit Index (GFI) 1.0000
Parsimony Index Adjusted GFI (AGFI) .
Parsimonious GFI 0.0000
RMSEA Estimate .
Probability of Close Fit .
Akaike Information Criterion 5413.6931
Bozdogan CAIC 5638.8681
Schwarz Bayesian Criterion 5593.8681
McDonald Centrality 1.0000
Incremental Index Bentler Comparative Fit Index 1.0000
Bentler-Bonett NFI 0.0505
Bentler-Bonett Non-normed Index .
Bollen Normed Index Rho1 .
Bollen Non-normed Index Delta2 1.0000
James et al. Parsimonious NFI 0.0000
NOTE: Saturated mean structure parameters are
excluded from the computations of fit indices.
The CALIS Procedure
Mean and Covariance Structures: Full Information Maximum Likelihood Estimation
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Daniel J. Bauer & Patrick J. Curran 7
MSTRUCT _Mean_ Vector
Standard
Variable Estimate Error t Value
anti6 1.55379 0.16196 9.59361
anti7 1.57113 0.11711 13.41626
anti8 1.93404 0.15685 12.33034
anti9 1.94480 0.15079 12.89737
anti10 2.04092 0.19832 10.29096
anti11 1.87097 0.15932 11.74357
anti12 1.87305 0.16194 11.56630
anti13 2.31584 0.19506 11.87225
anti14 1.95278 0.23525 8.30070
MSTRUCT _COV_ Matrix: Estimate/StdErr/t-value
anti6 anti7 anti8 anti9 anti10 anti11 anti12 anti13 anti14
anti6 3.6423 -6.16E-33 1.7877 1.2388 1.8588 1.2305 0.3031 2.2343 2.15E-15
0.4608 0 0.5466 0.4286 1.0201 0.4485 0.6194 0.5894 0
7.9045 . 3.2705 2.8904 1.8222 2.7433 0.4893 3.7909 Infty
anti7 -6.16E-33 2.7616 3.585E-17 2.0246 1.1397 2.0407 1.2136 1.7588 2.2193
0 0.2933 0 0.3305 0.5401 0.3548 0.4185 0.4234 0.5715
. 9.4166 . 6.1255 2.1103 5.7522 2.8997 4.1541 3.8835
anti8 1.7877 3.585E-17 4.2648 1.192E-16 2.8643 1.2617 1.9689 2.8996 2.0268
0.5466 0 0.4873 0 0.5183 0.7268 0.4269 0.8409 0.5984
3.2705 . 8.7522 Infty 5.5261 1.7359 4.6119 3.4483 3.3868
anti9 1.2388 2.0246 1.192E-16 5.1548 3.9019 2.7715 2.6678 3.4882 2.4176
0.4286 0.3305 0 0.5111 1.6274 0.4309 0.6788 0.5355 2.2140
2.8904 6.1255 Infty 10.0854 2.3977 6.4315 3.9302 6.5140 1.0920
anti10 1.8588 1.1397 2.8643 3.9019 6.9667 4.1430 2.7584 3.6355 3.1298
1.0201 0.5401 0.5183 1.6274 0.7831 2.2873 0.5214 1.2400 0.7149
1.8222 2.1103 5.5261 2.3977 8.8966 1.8113 5.2904 2.9319 4.3778
anti11 1.2305 2.0407 1.2617 2.7715 4.1430 5.2617 0.0601 3.7025 2.5921
0.4485 0.3548 0.7268 0.4309 2.2873 0.5481 0.9890 0.5507 2.0411
2.7433 5.7522 1.7359 6.4315 1.8113 9.5994 0.0607 6.7231 1.2699
anti12 0.3031 1.2136 1.9689 2.6678 2.7584 0.0601 4.2762 2.7770 2.3118
0.6194 0.4185 0.4269 0.6788 0.5214 0.9890 0.5068 1.1342 0.5694
0.4893 2.8997 4.6119 3.9302 5.2904 0.0607 8.4379 2.4485 4.0601
anti13 2.2343 1.7588 2.8996 3.4882 3.6355 3.7025 2.7770 7.9903 4.1169
0.5894 0.4234 0.8409 0.5355 1.2400 0.5507 1.1342 0.8314 1.4074
3.7909 4.1541 3.4483 6.5140 2.9319 6.7231 2.4485 9.6108 2.9252
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anti14 2.15E-15 2.2193 2.0268 2.4176 3.1298 2.5921 2.3118 4.1169 7.0055
0 0.5715 0.5984 2.2140 0.7149 2.0411 0.5694 1.4074 0.9565
Infty 3.8835 3.3868 1.0920 4.3778 1.2699 4.0601 2.9252 7.3238
The CALIS Procedure
Mean and Covariance Structures: Full Information Maximum Likelihood Estimation
Standardized MSTRUCT _COV_ Matrix: Estimate/StdErr/t-value
anti6 anti7 anti8 anti9 anti10 anti11 anti12 anti13 anti14
anti6 1.0000 -1.94E-33 0.4536 0.2859 0.3690 0.2811 0.0768 0.4142 4.257E-16
1.615E-34 0.1255 0.0916 0.1970 0.0955 0.1566 0.0952 3.975E-17
-12.0350 3.6130 3.1205 1.8728 2.9443 0.4904 4.3490 10.7093
anti7 -1.94E-33 1.0000 1.045E-17 0.5366 0.2598 0.5354 0.3532 0.3744 0.5046
1.615E-34 8.207E-19 0.0634 0.1189 0.0704 0.1138 0.0788 0.1121
-12.0350 12.7284 8.4656 2.1854 7.6096 3.1040 4.7535 4.4999
anti8 0.4536 1.045E-17 1.0000 2.543E-17 0.5255 0.2663 0.4611 0.4967 0.3708
0.1255 8.207E-19 1.945E-18 0.0683 0.1499 0.0800 0.1326 0.0964
3.6130 12.7284 13.0749 7.6964 1.7764 5.7607 3.7472 3.8468
anti9 0.2859 0.5366 2.543E-17 1.0000 0.6511 0.5322 0.5682 0.5435 0.4023
0.0916 0.0634 1.945E-18 0.2636 0.0568 0.1311 0.0563 0.3650
3.1205 8.4656 13.0749 2.4700 9.3718 4.3342 9.6507 1.1022
anti10 0.3690 0.2598 0.5255 0.6511 1.0000 0.6843 0.5054 0.4873 0.4480
0.1970 0.1189 0.0683 0.2636 0.3718 0.0698 0.1570 0.0809
1.8728 2.1854 7.6964 2.4700 1.8402 7.2353 3.1040 5.5407
anti11 0.2811 0.5354 0.2663 0.5322 0.6843 1.0000 0.0127 0.5710 0.4269
0.0955 0.0704 0.1499 0.0568 0.3718 0.2085 0.0530 0.3318
2.9443 7.6096 1.7764 9.3718 1.8402 0.0607 10.7717 1.2867
anti12 0.0768 0.3532 0.4611 0.5682 0.5054 0.0127 1.0000 0.4751 0.4224
0.1566 0.1138 0.0800 0.1311 0.0698 0.2085 0.1862 0.0847
0.4904 3.1040 5.7607 4.3342 7.2353 0.0607 2.5521 4.9886
anti13 0.4142 0.3744 0.4967 0.5435 0.4873 0.5710 0.4751 1.0000 0.5503
0.0952 0.0788 0.1326 0.0563 0.1570 0.0530 0.1862 0.1754
4.3490 4.7535 3.7472 9.6507 3.1040 10.7717 2.5521 3.1365
anti14 4.257E-16 0.5046 0.3708 0.4023 0.4480 0.4269 0.4224 0.5503 1.0000
3.975E-17 0.1121 0.0964 0.3650 0.0809 0.3318 0.0847 0.1754
10.7093 4.4999 3.8468 1.1022 5.5407 1.2867 4.9886 3.1365
The CALIS Procedure
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Daniel J. Bauer & Patrick J. Curran 9
Mean and Covariance Structures: Model and Initial Values
Modeling Information
Full Information Maximum Likelihood Estimation
Data Set WORK.INITIAL
N Records Read 405
N Complete Records 0
N Incomplete Records 405
N Complete Obs 0
N Incomplete Obs 405
Model Type PATH
Analysis Means and Covariances
Variables in the Model
Endogenous Manifest anti10 anti11 anti12 anti13 anti14
anti6 anti7 anti8 anti9
Latent
Exogenous Manifest
Latent anti_int
Number of Endogenous Variables = 9
Number of Exogenous Variables = 1
Initial Estimates for PATH List
------------Path------------ Parameter Estimate
anti_int ===> anti6 1.00000
anti_int ===> anti7 1.00000
anti_int ===> anti8 1.00000
anti_int ===> anti9 1.00000
anti_int ===> anti10 1.00000
anti_int ===> anti11 1.00000
anti_int ===> anti12 1.00000
anti_int ===> anti13 1.00000
anti_int ===> anti14 1.00000
1 ===> anti6 0
1 ===> anti7 0
1 ===> anti8 0
1 ===> anti9 0
1 ===> anti10 0
1 ===> anti11 0
1 ===> anti12 0
1 ===> anti13 0
1 ===> anti14 0
1 ===> anti_int _Parm1 .
anti_int <==> anti_int _Parm2 .
anti6 <==> anti6 _Add1 .
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Daniel J. Bauer & Patrick J. Curran 10
anti7 <==> anti7 _Add2 .
anti8 <==> anti8 _Add3 .
anti9 <==> anti9 _Add4 .
anti10 <==> anti10 _Add5 .
anti11 <==> anti11 _Add6 .
anti12 <==> anti12 _Add7 .
anti13 <==> anti13 _Add8 .
anti14 <==> anti14 _Add9 .
Initial Estimates for Variance Parameters
Variance
Type Variable Parameter Estimate
Error anti6 _Add1 .
anti7 _Add2 .
anti8 _Add3 .
anti9 _Add4 .
anti10 _Add5 .
anti11 _Add6 .
anti12 _Add7 .
anti13 _Add8 .
anti14 _Add9 .
NOTE: Parameters with prefix '_Add' are added by PROC CALIS.
The CALIS Procedure
Mean and Covariance Structures: Descriptive Statistics
Proportions of Data Present for Means (Diagonal) and Covariances (Off-Diagonal)
anti6 anti7 anti8 anti9 anti10 anti11 anti12 anti13 anti14
anti6 0.3012
anti7 0.0000 0.4148
anti8 0.0765 0.0000 0.3605
anti9 0.2123 0.2617 0.0000 0.4741
anti10 0.0296 0.1210 0.2420 0.0074 0.3728
anti11 0.1975 0.2025 0.0691 0.3432 0.0025 0.4296
anti12 0.0691 0.1111 0.2000 0.0395 0.2444 0.0346 0.3333
anti13 0.1506 0.2370 0.0543 0.3407 0.0395 0.3580 0.0296 0.4272
anti14 0.0000 0.0864 0.1630 0.0074 0.2099 0.0099 0.2025 0.0272 0.2494
Average Proportion Coverage of Means 0.373663
Average Proportion Coverage of Covariances 0.121674
Rank Order of the 4 Smallest Variable (Mean) Coverages
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Daniel J. Bauer & Patrick J. Curran 11
Variable Coverage
anti14 0.2494
anti6 0.3012
anti12 0.3333
anti8 0.3605
Rank Order of the 10 Smallest Covariance Coverages
Var1 Var2 Coverage
anti7 anti6 0.0000
anti8 anti7 0.0000
anti9 anti8 0.0000
anti14 anti6 0.0000
anti11 anti10 0.0025
anti10 anti9 0.0074
anti14 anti9 0.0074
anti14 anti11 0.0099
anti14 anti13 0.0272
anti10 anti6 0.0296
The CALIS Procedure
Mean and Covariance Structures: Descriptive Statistics
Rank Order of the 5 Most Frequent Missing Patterns
Total Number of Distinct Patterns with Missing Values = 49
NVar
Pattern Miss Freq Proportion Cumulative
1 .x.x.x.x. 5 73 0.1802 0.1802
2 x..x.x.x. 5 53 0.1309 0.3111
3 ..x.x.x.x 5 47 0.1160 0.4272
4 ..x.x.... 7 26 0.0642 0.4914
5 .x..x.x.x 5 25 0.0617 0.5531
NOTE: Nonmissing Pattern Proportion = 0 (N=0)
Means of the Nonmissing and the Most Frequent Missing Patterns
--------------------------Missing Pattern-------------------------
1 2 3 4 5
Variable (N=73) (N=53) (N=47) (N=26) (N=25)
anti6 . 1.58491 . . .
anti7 1.26027 . . . 1.76000
anti8 . . 2.12766 1.80769 .
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Daniel J. Bauer & Patrick J. Curran 12
anti9 1.52055 2.03774 . . .
anti10 . . 2.14894 2.69231 2.24000
anti11 1.75342 2.01887 . . .
anti12 . . 1.89362 . 1.84000
anti13 2.01370 2.39623 . . .
anti14 . . 1.91489 . 2.44000
The CALIS Procedure
Mean and Covariance Structures: Optimization
Initial Estimation Method
1 McDonald Method
Optimization Start
Parameter Estimates
N Parameter Estimate Gradient
1 _Parm1 2.13907 0.21499
2 _Parm2 1.00000 0.03123
3 _Add1 4.61977 0.02873
4 _Add2 3.80922 0.04846
5 _Add3 5.04681 0.03538
6 _Add4 5.30982 0.04036
7 _Add5 5.91003 0.02686
8 _Add6 5.42009 0.03730
9 _Add7 4.71770 0.03362
10 _Add8 6.99449 0.02770
11 _Add9 6.18357 0.01942
Value of Objective Function = 14.045536443
The CALIS Procedure
Mean and Covariance Structures: Optimization
Newton-Raphson Ridge Optimization
Without Parameter Scaling
Parameter Estimates 11
Functions (Observations) 54
Optimization Start
Active Constraints 0 Objective Function 14.045536443
Max Abs Gradient Element 0.2149886967
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Daniel J. Bauer & Patrick J. Curran 13
Ratio
Between
Actual
Objective Max Abs and
Function Active Objective Function Gradient Predicted
Iter Restarts Calls Constraints Function Change Element Ridge Change
1 0 4 0 13.15934 0.8862 0.0327 0 1.759
2 0 6 0 13.14590 0.0134 0.0193 0 0.858
3 0 8 0 13.14473 0.00118 0.00267 0 0.979
4 0 10 0 13.14462 0.000114 0.00166 0 1.088
5 0 12 0 13.14460 0.000012 0.000230 0 1.189
6 0 14 0 13.14460 1.331E-6 0.000160 0 1.260
7 0 16 0 13.14460 1.559E-7 0.000032 0 1.303
Optimization Results
Iterations 7 Function Calls 18
Jacobian Calls 8 Active Constraints 0
Objective Function 13.144602791 Max Abs Gradient Element 0.0000317676
Ridge 0 Actual Over Pred Change 1.3030250339
Convergence criterion (GCONV=1E-8) satisfied.
The CALIS Procedure
Mean and Covariance Structures: Full Information Maximum Likelihood Estimation
Fit Summary
Modeling Info Number of Complete Observations 0
Number of Incomplete Observations 405
Number of Variables 9
Number of Moments 54
Number of Parameters 11
Number of Active Constraints 0
Saturated Model Estimation FIML
Saturated Model Function Value 13.1449
Saturated Model -2 Log-Likelihood 5323.6931
Baseline Model Estimation Converged
Baseline Model Function Value 13.8437
Baseline Model -2 Log-Likelihood 5606.6868
Baseline Model Chi-Square 282.9936
Baseline Model Chi-Square DF 36
Pr > Baseline Model Chi-Square <.0001
Absolute Index Fit Function 13.1446
-2 Log-Likelihood 5323.5641
Chi-Square .
Chi-Square DF 43
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Daniel J. Bauer & Patrick J. Curran 14
Pr > Chi-Square .
Z-Test of Wilson & Hilferty .
Hoelter Critical N .
Root Mean Square Residual (RMR) 1.3234
Standardized RMR (SRMR) 0.2393
Goodness of Fit Index (GFI) 0.5632
Parsimony Index Adjusted GFI (AGFI) 0.4514
Parsimonious GFI 0.6727
RMSEA Estimate .
Probability of Close Fit .
Akaike Information Criterion 5345.5641
Bozdogan CAIC 5400.6069
Schwarz Bayesian Criterion 5389.6069
McDonald Centrality .
Incremental Index Bentler Comparative Fit Index .
Bentler-Bonett NFI 0.0505
Bentler-Bonett Non-normed Index .
Bollen Normed Index Rho1 .
Bollen Non-normed Index Delta2 .
James et al. Parsimonious NFI .
The CALIS Procedure
Mean and Covariance Structures: Full Information Maximum Likelihood Estimation
PATH List
Standard
------------Path------------ Parameter Estimate Error t Value
anti_int ===> anti6 1.00000
anti_int ===> anti7 1.00000
anti_int ===> anti8 1.00000
anti_int ===> anti9 1.00000
anti_int ===> anti10 1.00000
anti_int ===> anti11 1.00000
anti_int ===> anti12 1.00000
anti_int ===> anti13 1.00000
anti_int ===> anti14 1.00000
1 ===> anti6 0
1 ===> anti7 0
1 ===> anti8 0
1 ===> anti9 0
1 ===> anti10 0
1 ===> anti11 0
1 ===> anti12 0
1 ===> anti13 0
1 ===> anti14 0
1 ===> anti_int _Parm1 1.87397 0.07570 24.75532
anti_int <==> anti_int _Parm2 1.71940 0.16505 10.41773
anti6 <==> anti6 _Add1 2.16404 0.35168 6.15341
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Daniel J. Bauer & Patrick J. Curran 15
anti7 <==> anti7 _Add2 1.45725 0.22513 6.47282
anti8 <==> anti8 _Add3 1.52088 0.25427 5.98147
anti9 <==> anti9 _Add4 1.91139 0.25297 7.55569
anti10 <==> anti10 _Add5 2.26219 0.32291 7.00573
anti11 <==> anti11 _Add6 1.86492 0.25514 7.30935
anti12 <==> anti12 _Add7 1.67732 0.26525 6.32361
anti13 <==> anti13 _Add8 2.77108 0.34818 7.95872
anti14 <==> anti14 _Add9 2.21575 0.37779 5.86506
Variance Parameters
Variance Standard
Type Variable Parameter Estimate Error t Value
Error anti6 _Add1 2.16404 0.35168 6.15341
anti7 _Add2 1.45725 0.22513 6.47282
anti8 _Add3 1.52088 0.25427 5.98147
anti9 _Add4 1.91139 0.25297 7.55569
anti10 _Add5 2.26219 0.32291 7.00573
anti11 _Add6 1.86492 0.25514 7.30935
anti12 _Add7 1.67732 0.26525 6.32361
anti13 _Add8 2.77108 0.34818 7.95872
anti14 _Add9 2.21575 0.37779 5.86506
Squared Multiple Correlations
Error Total
Variable Variance Variance R-Square
anti10 2.26219 3.98159 0.4318
anti11 1.86492 3.58432 0.4797
anti12 1.67732 3.39673 0.5062
anti13 2.77108 4.49048 0.3829
anti14 2.21575 3.93515 0.4369
anti6 2.16404 3.88344 0.4428
anti7 1.45725 3.17665 0.5413
anti8 1.52088 3.24028 0.5306
anti9 1.91139 3.63079 0.4736
The CALIS Procedure
Mean and Covariance Structures: Full Information Maximum Likelihood Estimation
Standardized Results for PATH List
Standard
------------Path------------ Parameter Estimate Error t Value
anti_int ===> anti6 0.66540 0.03573 18.62218
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Daniel J. Bauer & Patrick J. Curran 16
anti_int ===> anti7 0.73570 0.03181 23.12625
anti_int ===> anti8 0.72845 0.03418 21.31203
anti_int ===> anti9 0.68816 0.03044 22.60921
anti_int ===> anti10 0.65714 0.03271 20.09102
anti_int ===> anti11 0.69260 0.03074 22.53255
anti_int ===> anti12 0.71147 0.03306 21.52086
anti_int ===> anti13 0.61879 0.03056 20.24571
anti_int ===> anti14 0.66101 0.03678 17.97220
anti_int <==> anti_int _Parm2 1.00000
anti6 <==> anti6 _Add1 0.55725 0.04755 11.71896
anti7 <==> anti7 _Add2 0.45874 0.04681 9.80016
anti8 <==> anti8 _Add3 0.46937 0.04980 9.42571
anti9 <==> anti9 _Add4 0.52644 0.04189 12.56687
anti10 <==> anti10 _Add5 0.56816 0.04299 13.21674
anti11 <==> anti11 _Add6 0.52030 0.04258 12.21980
anti12 <==> anti12 _Add7 0.49381 0.04704 10.49711
anti13 <==> anti13 _Add8 0.61710 0.03783 16.31453
anti14 <==> anti14 _Add9 0.56307 0.04862 11.58017
NOTE: All standardized intercepts and means are fixed zeros.
Standardized Results for Variance Parameters
Variance Standard
Type Variable Parameter Estimate Error t Value
Error anti6 _Add1 0.55725 0.04755 11.71896
anti7 _Add2 0.45874 0.04681 9.80016
anti8 _Add3 0.46937 0.04980 9.42571
anti9 _Add4 0.52644 0.04189 12.56687
anti10 _Add5 0.56816 0.04299 13.21674
anti11 _Add6 0.52030 0.04258 12.21980
anti12 _Add7 0.49381 0.04704 10.49711
anti13 _Add8 0.61710 0.03783 16.31453
anti14 _Add9 0.56307 0.04862 11.58017
The CALIS Procedure
Mean and Covariance Structures: Model and Initial Values
Modeling Information
Full Information Maximum Likelihood Estimation
Data Set WORK.INITIAL
N Records Read 405
N Complete Records 0
N Incomplete Records 405
N Complete Obs 0
N Incomplete Obs 405
Model Type PATH
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Daniel J. Bauer & Patrick J. Curran 17
Analysis Means and Covariances
Variables in the Model
Endogenous Manifest anti10 anti11 anti12 anti13 anti14
anti6 anti7 anti8 anti9
Latent
Exogenous Manifest
Latent anti_int anti_slp
Number of Endogenous Variables = 9
Number of Exogenous Variables = 2
Initial Estimates for PATH List
------------Path------------ Parameter Estimate
anti_int ===> anti6 1.00000
anti_int ===> anti7 1.00000
anti_int ===> anti8 1.00000
anti_int ===> anti9 1.00000
anti_int ===> anti10 1.00000
anti_int ===> anti11 1.00000
anti_int ===> anti12 1.00000
anti_int ===> anti13 1.00000
anti_int ===> anti14 1.00000
anti_slp ===> anti6 0
anti_slp ===> anti7 1.00000
anti_slp ===> anti8 2.00000
anti_slp ===> anti9 3.00000
anti_slp ===> anti10 4.00000
anti_slp ===> anti11 5.00000
anti_slp ===> anti12 6.00000
anti_slp ===> anti13 7.00000
anti_slp ===> anti14 8.00000
1 ===> anti6 0
1 ===> anti7 0
1 ===> anti8 0
1 ===> anti9 0
1 ===> anti10 0
1 ===> anti11 0
1 ===> anti12 0
1 ===> anti13 0
1 ===> anti14 0
1 ===> anti_int _Parm1 .
1 ===> anti_slp _Parm2 .
anti_int <==> anti_int _Parm3 .
anti_slp <==> anti_slp _Parm5 .
anti6 <==> anti6 _Add1 .
anti7 <==> anti7 _Add2 .
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Daniel J. Bauer & Patrick J. Curran 18
anti8 <==> anti8 _Add3 .
anti9 <==> anti9 _Add4 .
anti10 <==> anti10 _Add5 .
anti11 <==> anti11 _Add6 .
anti12 <==> anti12 _Add7 .
anti13 <==> anti13 _Add8 .
anti14 <==> anti14 _Add9 .
anti_slp <==> anti_int _Parm4 .
Initial Estimates for Variance Parameters
Variance
Type Variable Parameter Estimate
Error anti6 _Add1 .
anti7 _Add2 .
anti8 _Add3 .
anti9 _Add4 .
anti10 _Add5 .
anti11 _Add6 .
anti12 _Add7 .
anti13 _Add8 .
anti14 _Add9 .
NOTE: Parameters with prefix '_Add' are added by PROC CALIS.
The CALIS Procedure
Mean and Covariance Structures: Descriptive Statistics
Proportions of Data Present for Means (Diagonal) and Covariances (Off-Diagonal)
anti6 anti7 anti8 anti9 anti10 anti11 anti12 anti13 anti14
anti6 0.3012
anti7 0.0000 0.4148
anti8 0.0765 0.0000 0.3605
anti9 0.2123 0.2617 0.0000 0.4741
anti10 0.0296 0.1210 0.2420 0.0074 0.3728
anti11 0.1975 0.2025 0.0691 0.3432 0.0025 0.4296
anti12 0.0691 0.1111 0.2000 0.0395 0.2444 0.0346 0.3333
anti13 0.1506 0.2370 0.0543 0.3407 0.0395 0.3580 0.0296 0.4272
anti14 0.0000 0.0864 0.1630 0.0074 0.2099 0.0099 0.2025 0.0272 0.2494
Average Proportion Coverage of Means 0.373663
Average Proportion Coverage of Covariances 0.121674
Rank Order of the 4 Smallest Variable (Mean) Coverages
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Daniel J. Bauer & Patrick J. Curran 19
Variable Coverage
anti14 0.2494
anti6 0.3012
anti12 0.3333
anti8 0.3605
Rank Order of the 10 Smallest Covariance Coverages
Var1 Var2 Coverage
anti7 anti6 0.0000
anti8 anti7 0.0000
anti9 anti8 0.0000
anti14 anti6 0.0000
anti11 anti10 0.0025
anti10 anti9 0.0074
anti14 anti9 0.0074
anti14 anti11 0.0099
anti14 anti13 0.0272
anti10 anti6 0.0296
The CALIS Procedure
Mean and Covariance Structures: Descriptive Statistics
Rank Order of the 5 Most Frequent Missing Patterns
Total Number of Distinct Patterns with Missing Values = 49
NVar
Pattern Miss Freq Proportion Cumulative
1 .x.x.x.x. 5 73 0.1802 0.1802
2 x..x.x.x. 5 53 0.1309 0.3111
3 ..x.x.x.x 5 47 0.1160 0.4272
4 ..x.x.... 7 26 0.0642 0.4914
5 .x..x.x.x 5 25 0.0617 0.5531
NOTE: Nonmissing Pattern Proportion = 0 (N=0)
Means of the Nonmissing and the Most Frequent Missing Patterns
--------------------------Missing Pattern-------------------------
1 2 3 4 5
Variable (N=73) (N=53) (N=47) (N=26) (N=25)
anti6 . 1.58491 . . .
anti7 1.26027 . . . 1.76000
anti8 . . 2.12766 1.80769 .
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Daniel J. Bauer & Patrick J. Curran 20
anti9 1.52055 2.03774 . . .
anti10 . . 2.14894 2.69231 2.24000
anti11 1.75342 2.01887 . . .
anti12 . . 1.89362 . 1.84000
anti13 2.01370 2.39623 . . .
anti14 . . 1.91489 . 2.44000
The CALIS Procedure
Mean and Covariance Structures: Optimization
Initial Estimation Method
1 McDonald Method
Optimization Start
Parameter Estimates
N Parameter Estimate Gradient
1 _Parm1 1.88337 0.29875
2 _Parm2 1.88337 1.99637
3 _Parm3 1.00000 0.05443
4 _Parm4 0.98120 -0.15773
5 _Parm5 1.00000 -0.54427
6 _Add1 4.61977 0.02174
7 _Add2 4.58669 0.04735
8 _Add3 8.27210 0.02519
9 _Add4 9.96322 0.02197
10 _Add5 12.87872 0.01127
11 _Add6 23.96438 0.00874
12 _Add7 35.88086 0.00500
13 _Add8 39.39414 0.00520
14 _Add9 55.64567 0.00219
Value of Objective Function = 19.260512958
The CALIS Procedure
Mean and Covariance Structures: Optimization
Newton-Raphson Ridge Optimization
Without Parameter Scaling
Parameter Estimates 14
Functions (Observations) 54
Optimization Start
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Daniel J. Bauer & Patrick J. Curran 21
Active Constraints 0 Objective Function 19.260512958
Max Abs Gradient Element 1.9963654793
Ratio
Between
Actual
Objective Max Abs and
Function Active Objective Function Gradient Predicted
Iter Restarts Calls Constraints Function Change Element Ridge Change
1 0 4 0 15.55230 3.7082 0.2615 0 1.197
2 0 6 0 13.11781 2.4345 1.8631 0 3.449
3 0 8 0 13.03215 0.0857 0.8364 0 1.483
4 0 10 0 13.02406 0.00809 0.2379 0 1.341
5 0 12 0 13.02339 0.000678 0.0675 0 1.303
6 0 14 0 13.02333 0.000058 0.0199 0 1.293
7 0 16 0 13.02332 4.906E-6 0.00568 0 1.291
8 0 18 0 13.02332 4.133E-7 0.00166 0 1.290
9 0 20 0 13.02332 3.477E-8 0.000479 0 1.290
Optimization Results
Iterations 9 Function Calls 22
Jacobian Calls 10 Active Constraints 0
Objective Function 13.023322217 Max Abs Gradient Element 0.0004786172
Ridge 0 Actual Over Pred Change 1.2899981387
Convergence criterion (GCONV=1E-8) satisfied.
The CALIS Procedure
Mean and Covariance Structures: Full Information Maximum Likelihood Estimation
Fit Summary
Modeling Info Number of Complete Observations 0
Number of Incomplete Observations 405
Number of Variables 9
Number of Moments 54
Number of Parameters 14
Number of Active Constraints 0
Saturated Model Estimation FIML
Saturated Model Function Value 13.1449
Saturated Model -2 Log-Likelihood 5323.6931
Baseline Model Estimation Converged
Baseline Model Function Value 13.8437
Baseline Model -2 Log-Likelihood 5606.6868
Baseline Model Chi-Square 282.9936
Baseline Model Chi-Square DF 36
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Daniel J. Bauer & Patrick J. Curran 22
Pr > Baseline Model Chi-Square <.0001
Absolute Index Fit Function 13.0233
-2 Log-Likelihood 5274.4455
Chi-Square .
Chi-Square DF 40
Pr > Chi-Square .
Z-Test of Wilson & Hilferty .
Hoelter Critical N .
Root Mean Square Residual (RMR) 1.0824
Standardized RMR (SRMR) 0.2000
Goodness of Fit Index (GFI) 0.5629
Parsimony Index Adjusted GFI (AGFI) 0.4099
Parsimonious GFI 0.6254
RMSEA Estimate .
Probability of Close Fit .
Akaike Information Criterion 5302.4455
Bozdogan CAIC 5372.4999
Schwarz Bayesian Criterion 5358.4999
McDonald Centrality .
Incremental Index Bentler Comparative Fit Index .
Bentler-Bonett NFI 0.0593
Bentler-Bonett Non-normed Index .
Bollen Normed Index Rho1 .
Bollen Non-normed Index Delta2 .
James et al. Parsimonious NFI .
The CALIS Procedure
Mean and Covariance Structures: Full Information Maximum Likelihood Estimation
PATH List
Standard
------------Path------------ Parameter Estimate Error t Value
anti_int ===> anti6 1.00000
anti_int ===> anti7 1.00000
anti_int ===> anti8 1.00000
anti_int ===> anti9 1.00000
anti_int ===> anti10 1.00000
anti_int ===> anti11 1.00000
anti_int ===> anti12 1.00000
anti_int ===> anti13 1.00000
anti_int ===> anti14 1.00000
anti_slp ===> anti6 0
anti_slp ===> anti7 1.00000
anti_slp ===> anti8 2.00000
anti_slp ===> anti9 3.00000
anti_slp ===> anti10 4.00000
anti_slp ===> anti11 5.00000
anti_slp ===> anti12 6.00000
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Daniel J. Bauer & Patrick J. Curran 23
anti_slp ===> anti13 7.00000
anti_slp ===> anti14 8.00000
1 ===> anti6 0
1 ===> anti7 0
1 ===> anti8 0
1 ===> anti9 0
1 ===> anti10 0
1 ===> anti11 0
1 ===> anti12 0
1 ===> anti13 0
1 ===> anti14 0
1 ===> anti_int _Parm1 1.62091 0.08524 19.01498
1 ===> anti_slp _Parm2 0.07418 0.01770 4.19022
anti_int <==> anti_int _Parm3 1.09260 0.27830 3.92601
anti_slp <==> anti_slp _Parm5 0.02652 0.01094 2.42344
anti6 <==> anti6 _Add1 1.88084 0.36562 5.14422
anti7 <==> anti7 _Add2 1.34540 0.25036 5.37385
anti8 <==> anti8 _Add3 1.68584 0.27308 6.17347
anti9 <==> anti9 _Add4 1.86734 0.23976 7.78840
anti10 <==> anti10 _Add5 2.18137 0.31291 6.97122
anti11 <==> anti11 _Add6 1.66367 0.24495 6.79199
anti12 <==> anti12 _Add7 1.45830 0.26735 5.45464
anti13 <==> anti13 _Add8 1.79875 0.32292 5.57023
anti14 <==> anti14 _Add9 1.72647 0.40782 4.23339
anti_slp <==> anti_int _Parm4 0.05039 0.04791 1.05181
Variance Parameters
Variance Standard
Type Variable Parameter Estimate Error t Value
Error anti6 _Add1 1.88084 0.36562 5.14422
anti7 _Add2 1.34540 0.25036 5.37385
anti8 _Add3 1.68584 0.27308 6.17347
anti9 _Add4 1.86734 0.23976 7.78840
anti10 _Add5 2.18137 0.31291 6.97122
anti11 _Add6 1.66367 0.24495 6.79199
anti12 _Add7 1.45830 0.26735 5.45464
anti13 _Add8 1.79875 0.32292 5.57023
anti14 _Add9 1.72647 0.40782 4.23339
Squared Multiple Correlations
Error Total
Variable Variance Variance R-Square
anti10 2.18137 4.10134 0.4681
anti11 1.66367 3.92307 0.5759
anti12 1.45830 4.11014 0.6452
anti13 1.79875 4.89609 0.6326
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Daniel J. Bauer & Patrick J. Curran 24
anti14 1.72647 5.32232 0.6756
anti6 1.88084 2.97344 0.3675
anti7 1.34540 2.56529 0.4755
anti8 1.68584 3.08606 0.4537
anti9 1.86734 3.50092 0.4666
The CALIS Procedure
Mean and Covariance Structures: Full Information Maximum Likelihood Estimation
Standardized Results for PATH List
Standard
------------Path------------ Parameter Estimate Error t Value
anti_int ===> anti6 0.60618 0.07477 8.10698
anti_int ===> anti7 0.65262 0.08004 8.15348
anti_int ===> anti8 0.59501 0.07536 7.89560
anti_int ===> anti9 0.55865 0.06741 8.28789
anti_int ===> anti10 0.51614 0.06558 7.87038
anti_int ===> anti11 0.52774 0.06709 7.86553
anti_int ===> anti12 0.51559 0.06761 7.62549
anti_int ===> anti13 0.47239 0.06467 7.30477
anti_int ===> anti14 0.45308 0.06307 7.18432
anti_slp ===> anti6 0
anti_slp ===> anti7 0.10167 0.02210 4.59964
anti_slp ===> anti8 0.18539 0.03984 4.65339
anti_slp ===> anti9 0.26109 0.05397 4.83754
anti_slp ===> anti10 0.32163 0.06669 4.82281
anti_slp ===> anti11 0.41106 0.08349 4.92327
anti_slp ===> anti12 0.48192 0.09696 4.97042
anti_slp ===> anti13 0.51514 0.10634 4.84408
anti_slp ===> anti14 0.56467 0.11325 4.98622
anti_int <==> anti_int _Parm3 1.00000
anti_slp <==> anti_slp _Parm5 1.00000
anti6 <==> anti6 _Add1 0.63255 0.09065 6.97786
anti7 <==> anti7 _Add2 0.52446 0.07793 6.72998
anti8 <==> anti8 _Add3 0.54628 0.05639 9.68760
anti9 <==> anti9 _Add4 0.53339 0.04174 12.77913
anti10 <==> anti10 _Add5 0.53187 0.04334 12.27101
anti11 <==> anti11 _Add6 0.42407 0.04368 9.70757
anti12 <==> anti12 _Add7 0.35480 0.04948 7.17063
anti13 <==> anti13 _Add8 0.36739 0.05328 6.89530
anti14 <==> anti14 _Add9 0.32438 0.06233 5.20441
anti_slp <==> anti_int _Parm4 0.29605 0.36133 0.81933
NOTE: All standardized intercepts and means are fixed zeros.
Standardized Results for Variance Parameters
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Daniel J. Bauer & Patrick J. Curran 25
Variance Standard
Type Variable Parameter Estimate Error t Value
Error anti6 _Add1 0.63255 0.09065 6.97786
anti7 _Add2 0.52446 0.07793 6.72998
anti8 _Add3 0.54628 0.05639 9.68760
anti9 _Add4 0.53339 0.04174 12.77913
anti10 _Add5 0.53187 0.04334 12.27101
anti11 _Add6 0.42407 0.04368 9.70757
anti12 _Add7 0.35480 0.04948 7.17063
anti13 _Add8 0.36739 0.05328 6.89530
anti14 _Add9 0.32438 0.06233 5.20441
The CALIS Procedure
Mean and Covariance Structures: Model and Initial Values
Modeling Information
Full Information Maximum Likelihood Estimation
Data Set WORK.INITIAL
N Records Read 405
N Complete Records 0
N Incomplete Records 405
N Complete Obs 0
N Incomplete Obs 405
Model Type PATH
Analysis Means and Covariances
Variables in the Model
Endogenous Manifest anti10 anti11 anti12 anti13 anti14
anti6 anti7 anti8 anti9
Latent anti_int anti_slp
Exogenous Manifest male
Latent
Number of Endogenous Variables = 11
Number of Exogenous Variables = 1
Initial Estimates for PATH List
------------Path------------ Parameter Estimate
anti_int ===> anti6 1.00000
anti_int ===> anti7 1.00000
anti_int ===> anti8 1.00000
anti_int ===> anti9 1.00000
anti_int ===> anti10 1.00000
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Daniel J. Bauer & Patrick J. Curran 26
anti_int ===> anti11 1.00000
anti_int ===> anti12 1.00000
anti_int ===> anti13 1.00000
anti_int ===> anti14 1.00000
anti_slp ===> anti6 0
anti_slp ===> anti7 1.00000
anti_slp ===> anti8 2.00000
anti_slp ===> anti9 3.00000
anti_slp ===> anti10 4.00000
anti_slp ===> anti11 5.00000
anti_slp ===> anti12 6.00000
anti_slp ===> anti13 7.00000
anti_slp ===> anti14 8.00000
male ===> anti_int _Parm1 .
male ===> anti_slp _Parm2 .
1 ===> anti6 0
1 ===> anti7 0
1 ===> anti8 0
1 ===> anti9 0
1 ===> anti10 0
1 ===> anti11 0
1 ===> anti12 0
1 ===> anti13 0
1 ===> anti14 0
1 ===> anti_int _Parm3 .
1 ===> anti_slp _Parm4 .
1 ===> male _Add11 .
anti_int <==> anti_int _Parm5 .
anti_slp <==> anti_slp _Parm6 .
male <==> male _Add01 .
anti6 <==> anti6 _Add02 .
anti7 <==> anti7 _Add03 .
anti8 <==> anti8 _Add04 .
anti9 <==> anti9 _Add05 .
anti10 <==> anti10 _Add06 .
anti11 <==> anti11 _Add07 .
anti12 <==> anti12 _Add08 .
anti13 <==> anti13 _Add09 .
anti14 <==> anti14 _Add10 .
Initial Estimates for Variance Parameters
Variance
Type Variable Parameter Estimate
Exogenous male _Add01 .
Error anti6 _Add02 .
anti7 _Add03 .
anti8 _Add04 .
anti9 _Add05 .
anti10 _Add06 .
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Daniel J. Bauer & Patrick J. Curran 27
anti11 _Add07 .
anti12 _Add08 .
anti13 _Add09 .
anti14 _Add10 .
NOTE: Parameters with prefix '_Add' are added by PROC CALIS.
Initial Estimates for Means and Intercepts
Type Variable Parameter Estimate
Mean male _Add11 .
NOTE: Parameters with prefix '_Add' are added by PROC CALIS.
The CALIS Procedure
Mean and Covariance Structures: Descriptive Statistics
Proportions of Data Present for Means (Diagonal) and Covariances (Off-Diagonal)
male anti6 anti7 anti8 anti9 anti10 anti11 anti12 anti13 anti14
male 1.0000
anti6 0.3012 0.3012
anti7 0.4148 0.0000 0.4148
anti8 0.3605 0.0765 0.0000 0.3605
anti9 0.4741 0.2123 0.2617 0.0000 0.4741
anti10 0.3728 0.0296 0.1210 0.2420 0.0074 0.3728
anti11 0.4296 0.1975 0.2025 0.0691 0.3432 0.0025 0.4296
anti12 0.3333 0.0691 0.1111 0.2000 0.0395 0.2444 0.0346 0.3333
anti13 0.4272 0.1506 0.2370 0.0543 0.3407 0.0395 0.3580 0.0296 0.4272
anti14 0.2494 0.0000 0.0864 0.1630 0.0074 0.2099 0.0099 0.2025 0.0272 0.2494
Average Proportion Coverage of Means 0.436296
Average Proportion Coverage of Covariances 0.172071
Rank Order of the 5 Smallest Variable (Mean) Coverages
Variable Coverage
anti14 0.2494
anti6 0.3012
anti12 0.3333
anti8 0.3605
anti10 0.3728
Rank Order of the 10 Smallest Covariance Coverages
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Daniel J. Bauer & Patrick J. Curran 28
Var1 Var2 Coverage
anti7 anti6 0.0000
anti8 anti7 0.0000
anti9 anti8 0.0000
anti14 anti6 0.0000
anti11 anti10 0.0025
anti10 anti9 0.0074
anti14 anti9 0.0074
anti14 anti11 0.0099
anti14 anti13 0.0272
anti10 anti6 0.0296
The CALIS Procedure
Mean and Covariance Structures: Descriptive Statistics
Rank Order of the 5 Most Frequent Missing Patterns
Total Number of Distinct Patterns with Missing Values = 49
NVar
Pattern Miss Freq Proportion Cumulative
1 x.x.x.x.x. 5 73 0.1802 0.1802
2 xx..x.x.x. 5 53 0.1309 0.3111
3 x..x.x.x.x 5 47 0.1160 0.4272
4 x..x.x.... 7 26 0.0642 0.4914
5 x.x..x.x.x 5 25 0.0617 0.5531
NOTE: Nonmissing Pattern Proportion = 0 (N=0)
Means of the Nonmissing and the Most Frequent Missing Patterns
--------------------------Missing Pattern-------------------------
1 2 3 4 5
Variable (N=73) (N=53) (N=47) (N=26) (N=25)
male 0.56164 0.56604 0.44681 0.50000 0.68000
anti6 . 1.58491 . . .
anti7 1.26027 . . . 1.76000
anti8 . . 2.12766 1.80769 .
anti9 1.52055 2.03774 . . .
anti10 . . 2.14894 2.69231 2.24000
anti11 1.75342 2.01887 . . .
anti12 . . 1.89362 . 1.84000
anti13 2.01370 2.39623 . . .
anti14 . . 1.91489 . 2.44000
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Daniel J. Bauer & Patrick J. Curran 29
The CALIS Procedure
Mean and Covariance Structures: Optimization
Initial Estimation Methods
1 Observed Moments of Variables
2 McDonald Method
3 Two-Stage Least Squares
Optimization Start
Parameter Estimates
N Parameter Estimate Gradient
1 _Parm1 0.43032 -0.33400
2 _Parm2 0.08171 -0.73980
3 _Parm3 0 -0.62079
4 _Parm4 0 -1.57016
5 _Parm5 2.49729 0.02470
6 _Parm6 0.10632 1.91675
7 _Add11 0.50123 7.0083E-15
8 _Add01 0.50741 0.99979
9 _Add02 2.99583 0.02512
10 _Add03 2.66210 0.04413
11 _Add04 4.46357 0.02974
12 _Add05 5.58878 0.04070
13 _Add06 6.80068 0.02792
14 _Add07 4.76487 0.04357
15 _Add08 2.76856 0.03566
16 _Add09 5.85924 0.03199
17 _Add10 3.05050 0.02155
Value of Objective Function = 16.189515432
The CALIS Procedure
Mean and Covariance Structures: Optimization
Newton-Raphson Ridge Optimization
Without Parameter Scaling
Parameter Estimates 17
Functions (Observations) 65
Optimization Start
Active Constraints 0 Objective Function 16.189515432
Max Abs Gradient Element 1.9167456943
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Daniel J. Bauer & Patrick J. Curran 30
Ratio
Between
Actual
Objective Max Abs and
Function Active Objective Function Gradient Predicted
Iter Restarts Calls Constraints Function Change Element Ridge Change
1 0 4 0 14.61936 1.5702 0.8920 0 1.506
2 0 6 0 14.39959 0.2198 0.0796 0 1.447
3 0 8 0 14.39732 0.00226 0.00834 0 0.880
4 0 10 0 14.39726 0.000067 0.00201 0 0.870
5 0 12 0 14.39725 2.21E-6 0.000461 0 0.874
6 0 14 0 14.39725 7.666E-8 0.000112 0 0.881
Optimization Results
Iterations 6 Function Calls 16
Jacobian Calls 7 Active Constraints 0
Objective Function 14.397254782 Max Abs Gradient Element 0.000111723
Ridge 0 Actual Over Pred Change 0.8806880485
Convergence criterion (GCONV=1E-8) satisfied.
The CALIS Procedure
Mean and Covariance Structures: Full Information Maximum Likelihood Estimation
Fit Summary
Modeling Info Number of Complete Observations 0
Number of Incomplete Observations 405
Number of Variables 10
Number of Moments 65
Number of Parameters 17
Number of Active Constraints 0
Saturated Model Estimation FIML
Saturated Model Function Value 14.4959
Saturated Model -2 Log-Likelihood 5870.8204
Baseline Model Estimation Converged
Baseline Model Function Value 15.2952
Baseline Model -2 Log-Likelihood 6194.5753
Baseline Model Chi-Square 323.7549
Baseline Model Chi-Square DF 45
Pr > Baseline Model Chi-Square <.0001
Absolute Index Fit Function 14.3973
-2 Log-Likelihood 5830.8882
Chi-Square .
Chi-Square DF 48
Pr > Chi-Square .
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Daniel J. Bauer & Patrick J. Curran 31
Z-Test of Wilson & Hilferty .
Hoelter Critical N .
Root Mean Square Residual (RMR) 1.0052
Standardized RMR (SRMR) 0.1883
Goodness of Fit Index (GFI) 0.5595
Parsimony Index Adjusted GFI (AGFI) 0.4035
Parsimonious GFI 0.5968
RMSEA Estimate .
Probability of Close Fit .
Akaike Information Criterion 5864.8882
Bozdogan CAIC 5949.9543
Schwarz Bayesian Criterion 5932.9543
McDonald Centrality .
Incremental Index Bentler Comparative Fit Index .
Bentler-Bonett NFI 0.0587
Bentler-Bonett Non-normed Index .
Bollen Normed Index Rho1 .
Bollen Non-normed Index Delta2 .
James et al. Parsimonious NFI .
The CALIS Procedure
Mean and Covariance Structures: Full Information Maximum Likelihood Estimation
PATH List
Standard
------------Path------------ Parameter Estimate Error t Value
anti_int ===> anti6 1.00000
anti_int ===> anti7 1.00000
anti_int ===> anti8 1.00000
anti_int ===> anti9 1.00000
anti_int ===> anti10 1.00000
anti_int ===> anti11 1.00000
anti_int ===> anti12 1.00000
anti_int ===> anti13 1.00000
anti_int ===> anti14 1.00000
anti_slp ===> anti6 0
anti_slp ===> anti7 1.00000
anti_slp ===> anti8 2.00000
anti_slp ===> anti9 3.00000
anti_slp ===> anti10 4.00000
anti_slp ===> anti11 5.00000
anti_slp ===> anti12 6.00000
anti_slp ===> anti13 7.00000
anti_slp ===> anti14 8.00000
male ===> anti_int _Parm1 0.78412 0.16869 4.64825
male ===> anti_slp _Parm2 0.01438 0.03601 0.39936
1 ===> anti6 0
1 ===> anti7 0
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Daniel J. Bauer & Patrick J. Curran 32
1 ===> anti8 0
1 ===> anti9 0
1 ===> anti10 0
1 ===> anti11 0
1 ===> anti12 0
1 ===> anti13 0
1 ===> anti14 0
1 ===> anti_int _Parm3 1.22554 0.11943 10.26164
1 ===> anti_slp _Parm4 0.06648 0.02550 2.60720
1 ===> male _Add11 0.50123 0.02485 20.17436
anti_int <==> anti_int _Parm5 1.15890 0.15610 7.42397
anti_slp <==> anti_slp _Parm6 0.03510 0.00677 5.18535
male <==> male _Add01 0.25000 0.01757 14.23025
anti6 <==> anti6 _Add02 1.69601 0.30319 5.59382
anti7 <==> anti7 _Add03 1.20546 0.19904 6.05635
anti8 <==> anti8 _Add04 1.59043 0.25352 6.27334
anti9 <==> anti9 _Add05 1.87691 0.23869 7.86320
anti10 <==> anti10 _Add06 2.19773 0.31217 7.04009
anti11 <==> anti11 _Add07 1.64897 0.24085 6.84640
anti12 <==> anti12 _Add08 1.47688 0.26863 5.49788
anti13 <==> anti13 _Add09 1.75110 0.31344 5.58666
anti14 <==> anti14 _Add10 1.64312 0.39808 4.12759
Variance Parameters
Variance Standard
Type Variable Parameter Estimate Error t Value
Exogenous male _Add01 0.25000 0.01757 14.23025
Error anti6 _Add02 1.69601 0.30319 5.59382
anti7 _Add03 1.20546 0.19904 6.05635
anti8 _Add04 1.59043 0.25352 6.27334
anti9 _Add05 1.87691 0.23869 7.86320
anti10 _Add06 2.19773 0.31217 7.04009
anti11 _Add07 1.64897 0.24085 6.84640
anti12 _Add08 1.47688 0.26863 5.49788
anti13 _Add09 1.75110 0.31344 5.58666
anti14 _Add10 1.64312 0.39808 4.12759
Means and Intercepts
Standard
Type Variable Parameter Estimate Error t Value
Mean male _Add11 0.50123 0.02485 20.17436
Squared Multiple Correlations
Error Total
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Daniel J. Bauer & Patrick J. Curran 33
Variable Variance Variance R-Square
anti10 2.19773 4.09537 0.4634
anti11 1.64897 3.86863 0.5738
anti12 1.47688 4.08888 0.6388
anti13 1.75110 4.82575 0.6371
anti14 1.64312 5.25072 0.6871
anti6 1.69601 3.00862 0.4363
anti7 1.20546 2.55887 0.5289
anti8 1.59043 3.05493 0.4794
anti9 1.87691 3.52282 0.4672
anti_int 1.15890 1.31261 0.1171
anti_slp 0.03510 0.03515 0.00147
The CALIS Procedure
Mean and Covariance Structures: Full Information Maximum Likelihood Estimation
Standardized Results for PATH List
Standard
------------Path------------ Parameter Estimate Error t Value
anti_int ===> anti6 0.66052 0.04344 15.20679
anti_int ===> anti7 0.71622 0.03945 18.15562
anti_int ===> anti8 0.65549 0.03992 16.42092
anti_int ===> anti9 0.61041 0.03526 17.31141
anti_int ===> anti10 0.56614 0.03638 15.56312
anti_int ===> anti11 0.58249 0.03676 15.84459
anti_int ===> anti12 0.56659 0.03879 14.60703
anti_int ===> anti13 0.52154 0.03613 14.43487
anti_int ===> anti14 0.49999 0.03895 12.83635
anti_slp ===> anti6 0
anti_slp ===> anti7 0.11721 0.01324 8.85201
anti_slp ===> anti8 0.21455 0.02323 9.23555
anti_slp ===> anti9 0.29969 0.03054 9.81347
anti_slp ===> anti10 0.37060 0.03654 10.14270
anti_slp ===> anti11 0.47663 0.04270 11.16253
anti_slp ===> anti12 0.55634 0.04679 11.88988
anti_slp ===> anti13 0.59746 0.04988 11.97853
anti_slp ===> anti14 0.65459 0.05129 12.76291
male ===> anti_int _Parm1 0.34220 0.06893 4.96438
male ===> anti_slp _Parm2 0.03836 0.09598 0.39961
anti_int <==> anti_int _Parm5 0.88290 0.04718 18.71468
anti_slp <==> anti_slp _Parm6 0.99853 0.00736 135.61841
male <==> male _Add01 1.00000
anti6 <==> anti6 _Add02 0.56372 0.05738 9.82425
anti7 <==> anti7 _Add03 0.47109 0.05581 8.44091
anti8 <==> anti8 _Add04 0.52061 0.05146 10.11691
anti9 <==> anti9 _Add05 0.53278 0.04100 12.99340
anti10 <==> anti10 _Add06 0.53664 0.04281 12.53630
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anti11 <==> anti11 _Add07 0.42624 0.04314 9.88061
anti12 <==> anti12 _Add08 0.36119 0.04940 7.31231
anti13 <==> anti13 _Add09 0.36287 0.05326 6.81347
anti14 <==> anti14 _Add10 0.31293 0.06207 5.04133
NOTE: All standardized intercepts and means are fixed zeros.
Standardized Results for Variance Parameters
Variance Standard
Type Variable Parameter Estimate Error t Value
Exogenous male _Add01 1.00000
Error anti6 _Add02 0.56372 0.05738 9.82425
anti7 _Add03 0.47109 0.05581 8.44091
anti8 _Add04 0.52061 0.05146 10.11691
anti9 _Add05 0.53278 0.04100 12.99340
anti10 _Add06 0.53664 0.04281 12.53630
anti11 _Add07 0.42624 0.04314 9.88061
anti12 _Add08 0.36119 0.04940 7.31231
anti13 _Add09 0.36287 0.05326 6.81347
anti14 _Add10 0.31293 0.06207 5.04133
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