j. bauer & patrick curran 1€¦ · 17 _add17 1.58427 -0.01372 . 18 _add18 1.02887 -0.00237 ....

35
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 . curranbauer.org Daniel J. Bauer & Patrick J. Curran 1

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Page 1: J. Bauer & Patrick Curran 1€¦ · 17 _Add17 1.58427 -0.01372 . 18 _Add18 1.02887 -0.00237 . 19 _Add19 2.07376 -0.01802 . 20 _Add20 4.13452 -0.0001877

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 .

curranbauer.org

Daniel J. Bauer & Patrick J. Curran 1

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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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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

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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

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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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Daniel J. Bauer & Patrick J. Curran 6

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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

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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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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