Chapter 7b: Descriptive Statistics for Time-Invariant Variables



Summarize


Case Processing SummaryCase Processing Summary, table, 3 levels of column headers and 1 levels of row headers, table with 7 columns and 5 rows
  Cases
Included Excluded Total
N Percent N Percent N Percent
Attitude12: Attitudes at Age 12 200 100.0% 0 0.0% 200 100.0%
ReportReport, table, Attitude12: Attitudes at Age 12, 1 layers, 1 levels of column headers and 0 levels of row headers, table with 5 columns and 4 rows
Attitude12: Attitudes at Age 12
N Mean Std. Deviation Minimum Maximum
200 3.95 .602 2 5


Variables to Cases


Generated VariablesGenerated Variables, table, 1 levels of column headers and 0 levels of row headers, table with 2 columns and 6 rows
Name Label
wave <none>
age Age12: Exact Age at Age12 Occasion
risky Risky12: Risky Behavior at Age12 Occasion
monitor Monitor12: Monitoring at Age12 Occasion
Processing StatisticsProcessing Statistics, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 3 rows
Variables In 23
Variables Out 6


Chapter 7b: Descriptive Statistics for Time-Varying Variables



Summarize



[Chapter7b] C:\Dropbox\PilesOfVariance\Chapter7b\SPSS\SPSS_Chapter7b.sav


Case Processing SummaryCase Processing Summary, table, 3 levels of column headers and 1 levels of row headers, table with 7 columns and 6 rows
  Cases
Included Excluded Total
N Percent N Percent N Percent
age: Exact Age at Occasion 1400 100.0% 0 0.0% 1400 100.0%
risky: Risky Behavior at Occasion 1400 100.0% 0 0.0% 1400 100.0%
ReportReport, table, 1 levels of column headers and 1 levels of row headers, table with 3 columns and 7 rows
  age: Exact Age at Occasion risky: Risky Behavior at Occasion
N 1400 1400
Mean 15.00 19.38
Std. Deviation 2.004 5.301
Minimum 12 10
Maximum 18 36


Ch 7b: Empty Means, Random Intercept Model



Mixed Model Analysis



[Chapter7b] C:\Dropbox\PilesOfVariance\Chapter7b\SPSS\SPSS_Chapter7b.sav


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 3 rows
A(n) FIXED subcommand has no specifications and will therefore be ignored.
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 7 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
Random Effects Intercept 1 Identity 1 PersonID
Residual     1  
Total 2   3  
a. Dependent Variable: risky: Risky Behavior at Occasion.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 8296.617
Akaike's Information Criterion (AIC) 8302.617
Hurvich and Tsai's Criterion (AICC) 8302.634
Bozdogan's Criterion (CAIC) 8321.350
Schwarz's Bayesian Criterion (BIC) 8318.350
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: risky: Risky Behavior at Occasion.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 4 rows
Source Numerator df Denominator df F Sig.
Intercept 1 200.000 5648.114 .000
a. Dependent Variable: risky: Risky Behavior at Occasion.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 5 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 19.384885 .257936 200.000 75.154 .000 18.876263 19.893508
a. Dependent Variable: risky: Risky Behavior at Occasion.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 6 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual 17.241188 .703869 24.495 .000 15.915381 18.677440
Intercept [subject = PersonID] Variance 10.843142 1.334411 8.126 .000 8.519264 13.800926
a. Dependent Variable: risky: Risky Behavior at Occasion.


Ch 7b: Saturated Means by Rounded Occasion, Unstructured Variance Model



Mixed Model Analysis


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 7 columns and 7 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
occasion 7   6    
Repeated Effects occasion 7 Unstructured 28 PersonID 200
Total 15   35    
a. Dependent Variable: risky: Risky Behavior at Occasion.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 7606.832
Akaike's Information Criterion (AIC) 7676.832
Hurvich and Tsai's Criterion (AICC) 7678.680
Bozdogan's Criterion (CAIC) 7895.380
Schwarz's Bayesian Criterion (BIC) 7860.380
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: risky: Risky Behavior at Occasion.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 5 rows
Source Numerator df Denominator df F Sig.
Intercept 1 200.000 5648.114 .000
occasion 6 200.000 55.472 .000
a. Dependent Variable: risky: Risky Behavior at Occasion.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 13 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 23.521105 .382412 200.000 61.507 .000 22.767028 24.275183
[occasion=12.00] -6.798770 .438381 200.000 -15.509 .000 -7.663211 -5.934330
[occasion=13.00] -6.338334 .379890 200.000 -16.685 .000 -7.087438 -5.589231
[occasion=14.00] -5.658541 .394007 200.000 -14.362 .000 -6.435481 -4.881600
[occasion=15.00] -4.539256 .326253 200.000 -13.913 .000 -5.182594 -3.895919
[occasion=16.00] -3.748224 .321350 200.000 -11.664 .000 -4.381892 -3.114556
[occasion=17.00] -1.870415 .301551 200.000 -6.203 .000 -2.465043 -1.275787
[occasion=18.00] 0b 0 . . . . .
a. Dependent Variable: risky: Risky Behavior at Occasion.
b. This parameter is set to zero because it is redundant.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 32 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Repeated Measures UN (1,1) 20.891857 2.089186 10.000 .000 17.173424 25.415414
UN (2,1) 11.603483 1.648101 7.041 .000 8.373265 14.833702
UN (2,2) 19.558175 1.955818 10.000 .000 16.077117 23.792961
UN (3,1) 10.700233 1.639330 6.527 .000 7.487206 13.913261
UN (3,2) 11.128631 1.612188 6.903 .000 7.968801 14.288460
UN (3,3) 20.246433 2.024643 10.000 .000 16.642875 24.630242
UN (4,1) 8.832452 1.601210 5.516 .000 5.694137 11.970766
UN (4,2) 9.391410 1.573542 5.968 .000 6.307323 12.475496
UN (4,3) 12.582955 1.702442 7.391 .000 9.246229 15.919681
UN (4,4) 20.810150 2.081015 10.000 .000 17.106259 25.316016
UN (5,1) 9.193119 1.646684 5.583 .000 5.965678 12.420561
UN (5,2) 11.588336 1.677595 6.908 .000 8.300311 14.876362
UN (5,3) 12.956537 1.748612 7.410 .000 9.529320 16.383754
UN (5,4) 14.011691 1.806014 7.758 .000 10.471969 17.551413
UN (5,5) 21.912851 2.191285 10.000 .000 18.012696 26.657477
UN (6,1) 6.982696 1.753818 3.981 .000 3.545275 10.420117
UN (6,2) 10.535107 1.790597 5.884 .000 7.025601 14.044613
UN (6,3) 11.778007 1.854239 6.352 .000 8.143765 15.412249
UN (6,4) 15.048406 1.988287 7.569 .000 11.151435 18.945377
UN (6,5) 16.006794 2.061936 7.763 .000 11.965473 20.048115
UN (6,6) 27.111893 2.711189 10.000 .000 22.286388 32.982229
UN (7,1) 5.852097 1.796230 3.258 .001 2.331550 9.372644
UN (7,2) 9.971367 1.832297 5.442 .000 6.380131 13.562604
UN (7,3) 9.223006 1.840147 5.012 .000 5.616384 12.829628
UN (7,4) 14.384880 2.019377 7.123 .000 10.426974 18.342786
UN (7,5) 15.253790 2.089954 7.299 .000 11.157555 19.350025
UN (7,6) 19.086538 2.405473 7.935 .000 14.371897 23.801178
UN (7,7) 29.247840 2.924784 10.000 .000 24.042169 35.580656
a. Dependent Variable: risky: Risky Behavior at Occasion.
Residual Covariance (R) MatrixaResidual Covariance (R) Matrix, table, 1 levels of column headers and 1 levels of row headers, table with 8 columns and 11 rows
  [occasion = 12.00] [occasion = 13.00] [occasion = 14.00] [occasion = 15.00] [occasion = 16.00] [occasion = 17.00] [occasion = 18.00]
[occasion = 12.00] 20.891857 11.603483 10.700233 8.832452 9.193119 6.982696 5.852097
[occasion = 13.00] 11.603483 19.558175 11.128631 9.391410 11.588336 10.535107 9.971367
[occasion = 14.00] 10.700233 11.128631 20.246433 12.582955 12.956537 11.778007 9.223006
[occasion = 15.00] 8.832452 9.391410 12.582955 20.810150 14.011691 15.048406 14.384880
[occasion = 16.00] 9.193119 11.588336 12.956537 14.011691 21.912851 16.006794 15.253790
[occasion = 17.00] 6.982696 10.535107 11.778007 15.048406 16.006794 27.111893 19.086538
[occasion = 18.00] 5.852097 9.971367 9.223006 14.384880 15.253790 19.086538 29.247840
Unstructured
a. Dependent Variable: risky: Risky Behavior at Occasion.


Estimated Marginal Means



occasion: Occasion of Measurement (12-18)


EstimatesaEstimates, table, 2 levels of column headers and 1 levels of row headers, table with 6 columns and 11 rows
occasion: Occasion of Measurement (12-18) Mean Std. Error df 95% Confidence Interval
Lower Bound Upper Bound
12.00 16.722 .323 200.000 16.085 17.360
13.00 17.183 .313 200.000 16.566 17.799
14.00 17.863 .318 200 17.235 18.490
15.00 18.982 .323 200.000 18.346 19.618
16.00 19.773 .331 200.000 19.120 20.426
17.00 21.651 .368 200.000 20.925 22.377
18.00 23.521 .382 200.000 22.767 24.275
a. Dependent Variable: risky: Risky Behavior at Occasion.
Pairwise ComparisonsaPairwise Comparisons, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 49 rows
(I) occasion: Occasion of Measurement (12-18) (J) occasion: Occasion of Measurement (12-18) Mean Difference (I-J) Std. Error df Sig.c 95% Confidence Interval for Differencec
Lower Bound Upper Bound
12.00 13.00 -.460 .294 200.000 .118 -1.039 .119
14.00 -1.140* .314 200.000 .000 -1.760 -.521
15.00 -2.260* .347 200.000 .000 -2.943 -1.576
16.00 -3.051* .349 200.000 .000 -3.740 -2.362
17.00 -4.928* .413 200.000 .000 -5.742 -4.115
18.00 -6.799* .438 200.000 .000 -7.663 -5.934
13.00 12.00 .460 .294 200.000 .118 -.119 1.039
14.00 -.680* .296 200.000 .023 -1.264 -.096
15.00 -1.799* .329 200.000 .000 -2.447 -1.151
16.00 -2.590* .302 200.000 .000 -3.186 -1.994
17.00 -4.468* .358 200.000 .000 -5.173 -3.762
18.00 -6.338* .380 200.000 .000 -7.087 -5.589
14.00 12.00 1.140* .314 200.000 .000 .521 1.760
13.00 .680* .296 200.000 .023 .096 1.264
15.00 -1.119* .282 200.000 .000 -1.675 -.563
16.00 -1.910* .285 200.000 .000 -2.472 -1.348
17.00 -3.788* .345 200.000 .000 -4.468 -3.108
18.00 -5.659* .394 200.000 .000 -6.435 -4.882
15.00 12.00 2.260* .347 200.000 .000 1.576 2.943
13.00 1.799* .329 200.000 .000 1.151 2.447
14.00 1.119* .282 200.000 .000 .563 1.675
16.00 -.791* .271 200.000 .004 -1.326 -.256
17.00 -2.669* .299 200.000 .000 -3.258 -2.080
18.00 -4.539* .326 200.000 .000 -5.183 -3.896
16.00 12.00 3.051* .349 200.000 .000 2.362 3.740
13.00 2.590* .302 200.000 .000 1.994 3.186
14.00 1.910* .285 200.000 .000 1.348 2.472
15.00 .791* .271 200.000 .004 .256 1.326
17.00 -1.878* .292 200.000 .000 -2.453 -1.303
18.00 -3.748* .321 200.000 .000 -4.382 -3.115
17.00 12.00 4.928* .413 200.000 .000 4.115 5.742
13.00 4.468* .358 200.000 .000 3.762 5.173
14.00 3.788* .345 200.000 .000 3.108 4.468
15.00 2.669* .299 200.000 .000 2.080 3.258
16.00 1.878* .292 200.000 .000 1.303 2.453
18.00 -1.870* .302 200.000 .000 -2.465 -1.276
18.00 12.00 6.799* .438 200.000 .000 5.934 7.663
13.00 6.338* .380 200.000 .000 5.589 7.087
14.00 5.659* .394 200.000 .000 4.882 6.435
15.00 4.539* .326 200.000 .000 3.896 5.183
16.00 3.748* .321 200.000 .000 3.115 4.382
17.00 1.870* .302 200.000 .000 1.276 2.465
Based on estimated marginal means
*. The mean difference is significant at the .05 level.
a. Dependent Variable: risky: Risky Behavior at Occasion.
c. Adjustment for multiple comparisons: Least Significant Difference (equivalent to no adjustments).
Univariate TestsaUnivariate Tests, table, 1 levels of column headers and 0 levels of row headers, table with 4 columns and 5 rows
Numerator df Denominator df F Sig.
6 200.000 55.472 .000
The F tests the effect of occasion: Occasion of Measurement (12-18). This test is based on the linearly independent pairwise comparisons among the estimated marginal means.
a. Dependent Variable: risky: Risky Behavior at Occasion.


Ch 7b: Fixed Linear Age, Random Intercept Model



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 2 rows
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 8 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
agec18 1   1  
Random Effects Intercept 1 Identity 1 PersonID
Residual     1  
Total 3   4  
a. Dependent Variable: risky: Risky Behavior at Occasion.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 7797.974
Akaike's Information Criterion (AIC) 7805.974
Hurvich and Tsai's Criterion (AICC) 7806.003
Bozdogan's Criterion (CAIC) 7830.951
Schwarz's Bayesian Criterion (BIC) 7826.951
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: risky: Risky Behavior at Occasion.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 5 rows
Source Numerator df Denominator df F Sig.
Intercept 1 320.827 6108.958 .000
agec18 1 1200.348 618.059 .000
a. Dependent Variable: risky: Risky Behavior at Occasion.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 6 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 22.742073 .290969 320.827 78.160 .000 22.169625 23.314521
agec18 1.119448 .045029 1200.348 24.861 .000 1.031104 1.207791
a. Dependent Variable: risky: Risky Behavior at Occasion.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 6 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual 11.381909 .464664 24.495 .000 10.506667 12.330062
Intercept [subject = PersonID] Variance 11.659452 1.330201 8.765 .000 9.323230 14.581085
a. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 1 (Intercept at Age=12)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 16.025387 .291012 321.006 0 55.068 .000 15.452855 16.597919
a. Intercept at Age=12
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 2 (Intercept at Age=13)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 17.144835 .273031 251.241 0 62.794 .000 16.607114 17.682556
a. Intercept at Age=13
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 3 (Intercept at Age=14)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 18.264282 .261647 212.387 0 69.805 .000 17.748526 18.780039
a. Intercept at Age=14
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 4 (Intercept at Age=15)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 19.383730 .257735 200.000 0 75.208 .000 18.875504 19.891956
a. Intercept at Age=15
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 5 (Intercept at Age=16)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 20.503178 .261631 212.335 0 78.367 .000 19.987452 21.018904
a. Intercept at Age=16
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 6 (Intercept at Age=17)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 21.622626 .273000 251.131 0 79.204 .000 21.084964 22.160287
a. Intercept at Age=17
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 7 (Intercept at Age=18)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 22.742073 .290969 320.827 0 78.160 .000 22.169625 23.314521
a. Intercept at Age=18
b. Dependent Variable: risky: Risky Behavior at Occasion.


Ch 7b: Random Linear Age Model



Mixed Model Analysis


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 9 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
agec18 1   1  
Random Effects Intercept + agec18b 2 Unstructured 3 PersonID
Residual     1  
Total 4   6  
a. Dependent Variable: risky: Risky Behavior at Occasion.
b. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 7677.189
Akaike's Information Criterion (AIC) 7689.189
Hurvich and Tsai's Criterion (AICC) 7689.249
Bozdogan's Criterion (CAIC) 7726.654
Schwarz's Bayesian Criterion (BIC) 7720.654
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: risky: Risky Behavior at Occasion.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 5 rows
Source Numerator df Denominator df F Sig.
Intercept 1 199.830 4046.935 .000
agec18 1 199.864 284.539 .000
a. Dependent Variable: risky: Risky Behavior at Occasion.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 6 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 22.743447 .357514 199.830 63.616 .000 22.038462 23.448431
agec18 1.119888 .066390 199.864 16.868 .000 .988973 1.250803
a. Dependent Variable: risky: Risky Behavior at Occasion.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 8 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual 8.717566 .389824 22.363 .000 7.986049 9.516090
Intercept + agec18 [subject = PersonID] UN (1,1) 21.515640 2.563715 8.392 .000 17.034470 27.175649
UN (2,1) 2.433397 .414020 5.877 .000 1.621932 3.244862
UN (2,2) .570104 .089225 6.389 .000 .419503 .774771
a. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 1 (Intercept at Age=12)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 16.024116 .290597 200.223 0 55.142 .000 15.451094 16.597139
a. Intercept at Age=12
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 2 (Intercept at Age=13)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 17.144005 .263887 200.033 0 64.967 .000 16.623647 17.664362
a. Intercept at Age=13
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 3 (Intercept at Age=14)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 18.263893 .252273 199.954 0 72.397 .000 17.766436 18.761351
a. Intercept at Age=14
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 4 (Intercept at Age=15)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 19.383781 .257803 199.999 0 75.188 .000 18.875420 19.892143
a. Intercept at Age=15
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 5 (Intercept at Age=16)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 20.503670 .279461 200.014 0 73.369 .000 19.952602 21.054738
a. Intercept at Age=16
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 6 (Intercept at Age=17)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 21.623558 .313926 199.939 0 68.881 .000 21.004527 22.242590
a. Intercept at Age=17
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 7 (Intercept at Age=18)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 22.743447 .357514 199.830 0 63.616 .000 22.038462 23.448431
a. Intercept at Age=18
b. Dependent Variable: risky: Risky Behavior at Occasion.


Eq 7b.8: Fixed Quadratic, Random Linear Age Model



Mixed Model Analysis


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 10 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
agec18 1   1  
agec18 * agec18 1   1  
Random Effects Intercept + agec18b 2 Unstructured 3 PersonID
Residual     1  
Total 5   7  
a. Dependent Variable: risky: Risky Behavior at Occasion.
b. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 7634.770
Akaike's Information Criterion (AIC) 7648.770
Hurvich and Tsai's Criterion (AICC) 7648.851
Bozdogan's Criterion (CAIC) 7692.480
Schwarz's Bayesian Criterion (BIC) 7685.480
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: risky: Risky Behavior at Occasion.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 6 rows
Source Numerator df Denominator df F Sig.
Intercept 1 238.664 3936.301 .000
agec18 1 1187.665 181.337 .000
agec18 * agec18 1 1010.045 43.352 .000
a. Dependent Variable: risky: Risky Behavior at Occasion.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 7 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 23.465497 .374012 238.664 62.740 .000 22.728711 24.202283
agec18 1.987716 .147608 1187.665 13.466 .000 1.698114 2.277318
agec18 * agec18 .144629 .021966 1010.045 6.584 .000 .101525 .187733
a. Dependent Variable: risky: Risky Behavior at Occasion.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 8 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual 8.351629 .373475 22.362 .000 7.650794 9.116663
Intercept + agec18 [subject = PersonID] UN (1,1) 21.693958 2.564013 8.461 .000 17.208188 27.349064
UN (2,1) 2.476093 .414298 5.977 .000 1.664084 3.288103
UN (2,2) .584825 .089315 6.548 .000 .433541 .788901
a. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 1 (Intercept at Age=12)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 16.745836 .310792 259.735 0 53.881 .000 16.133843 17.357830
a. Intercept at Age=12
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 2 (Intercept at Age=13)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 17.142636 .264028 200.030 0 64.927 .000 16.622000 17.663271
a. Intercept at Age=13
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 3 (Intercept at Age=14)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 17.828693 .260855 228.111 0 68.347 .000 17.314699 18.342687
a. Intercept at Age=14
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 4 (Intercept at Age=15)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 18.804008 .272448 248.685 0 69.019 .000 18.267407 19.340608
a. Intercept at Age=15
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 5 (Intercept at Age=16)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 20.068580 .287177 222.869 0 69.882 .000 19.502649 20.634510
a. Intercept at Age=16
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 6 (Intercept at Age=17)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 21.622410 .313952 199.945 0 68.872 .000 21.003328 22.241491
a. Intercept at Age=17
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 7 (Intercept at Age=18)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 23.465497 .374012 238.664 0 62.740 .000 22.728711 24.202283
a. Intercept at Age=18
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 8 (Linear Slope at Age=12)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 .252171 .147594 1188.120 0 1.709 .088 -.037403 .541745
a. Linear Slope at Age=12
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 9 (Linear Slope at Age=13)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 .541428 .110157 931.904 0 4.915 .000 .325243 .757613
a. Linear Slope at Age=13
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 10 (Linear Slope at Age=14)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 .830686 .079657 396.116 0 10.428 .000 .674082 .987290
a. Linear Slope at Age=14
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 11 (Linear Slope at Age=15)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 1.119943 .066453 199.828 0 16.853 .000 .988904 1.250983
a. Linear Slope at Age=15
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 12 (Linear Slope at Age=16)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 1.409201 .079666 396.339 0 17.689 .000 1.252580 1.565822
a. Linear Slope at Age=16
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 13 (Linear Slope at Age=17)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 1.698459 .110170 931.969 0 15.417 .000 1.482248 1.914669
a. Linear Slope at Age=17
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 14 (Linear Slope at Age=18)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 1.987716 .147608 1187.665 0 13.466 .000 1.698114 2.277318
a. Linear Slope at Age=18
b. Dependent Variable: risky: Risky Behavior at Occasion.


Correlations


CorrelationsCorrelations, table, 1 levels of column headers and 2 levels of row headers, table with 4 columns and 8 rows
  risky: Risky Behavior at Occasion Fixed Predicted Values
risky: Risky Behavior at Occasion Pearson Correlation 1 .434
Sig. (2-tailed)   .000
N 1400 1400
Fixed Predicted Values Pearson Correlation .434 1
Sig. (2-tailed) .000  
N 1400 1400


Ch 7b: Random Quadratic Age Model



Mixed Model Analysis


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 10 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
agec18 1   1  
agec18 * agec18 1   1  
Random Effects Intercept + agec18 + agec18 * agec18b 3 Unstructured 6 PersonID
Residual     1  
Total 6   10  
a. Dependent Variable: risky: Risky Behavior at Occasion.
b. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 7629.506
Akaike's Information Criterion (AIC) 7649.506
Hurvich and Tsai's Criterion (AICC) 7649.664
Bozdogan's Criterion (CAIC) 7711.948
Schwarz's Bayesian Criterion (BIC) 7701.948
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: risky: Risky Behavior at Occasion.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 6 rows
Source Numerator df Denominator df F Sig.
Intercept 1 199.882 4033.978 .000
agec18 1 193.005 159.322 .000
agec18 * agec18 1 190.804 36.883 .000
a. Dependent Variable: risky: Risky Behavior at Occasion.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 7 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 23.468789 .369508 199.882 63.514 .000 22.740155 24.197423
agec18 1.991155 .157749 193.005 12.622 .000 1.680021 2.302288
agec18 * agec18 .145095 .023891 190.804 6.073 .000 .097970 .192220
a. Dependent Variable: risky: Risky Behavior at Occasion.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 11 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual 7.977673 .399564 19.966 .000 7.231752 8.800533
Intercept + agec18 + agec18 * agec18 [subject = PersonID] UN (1,1) 21.283058 2.745056 7.753 .000 16.529031 27.404424
UN (2,1) 2.476546 .947548 2.614 .009 .619386 4.333706
UN (2,2) 1.356634 .532618 2.547 .011 .628461 2.928509
UN (3,1) -.005355 .130945 -.041 .967 -.262002 .251293
UN (3,2) .127777 .077622 1.646 .100 -.024360 .279914
UN (3,3) .021531 .012405 1.736 .083 .006961 .066604
a. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 1 (Intercept at Age=12)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 16.745290 .306180 200.229 0 54.691 .000 16.141539 17.349040
a. Intercept at Age=12
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 2 (Intercept at Age=13)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 17.140397 .264234 200.029 0 64.868 .000 16.619356 17.661437
a. Intercept at Age=13
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 3 (Intercept at Age=14)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 17.825694 .268565 200.084 0 66.374 .000 17.296113 18.355275
a. Intercept at Age=14
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 4 (Intercept at Age=15)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 18.801182 .282908 200.256 0 66.457 .000 18.243321 19.359043
a. Intercept at Age=15
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 5 (Intercept at Age=16)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 20.066861 .294304 200.033 0 68.184 .000 19.486524 20.647197
a. Intercept at Age=16
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 6 (Intercept at Age=17)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 21.622729 .314049 199.952 0 68.852 .000 21.003457 22.242002
a. Intercept at Age=17
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 7 (Intercept at Age=18)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 23.468789 .369508 199.882 0 63.514 .000 22.740155 24.197423
a. Intercept at Age=18
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 8 (Linear Slope at Age=12)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 .250012 .158282 192.223 0 1.580 .116 -.062180 .562203
a. Linear Slope at Age=12
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 9 (Linear Slope at Age=13)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 .540202 .116659 194.050 0 4.631 .000 .310121 .770284
a. Linear Slope at Age=13
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 10 (Linear Slope at Age=14)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 .830393 .082047 198.150 0 10.121 .000 .668595 .992190
a. Linear Slope at Age=14
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 11 (Linear Slope at Age=15)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 1.120583 .066487 199.740 0 16.854 .000 .989477 1.251689
a. Linear Slope at Age=15
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 12 (Linear Slope at Age=16)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 1.410774 .081704 195.965 0 17.267 .000 1.249641 1.571907
a. Linear Slope at Age=16
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 13 (Linear Slope at Age=17)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 1.700964 .116177 194.076 0 14.641 .000 1.471833 1.930095
a. Linear Slope at Age=17
b. Dependent Variable: risky: Risky Behavior at Occasion.


Custom Hypothesis Test 14 (Linear Slope at Age=18)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 1.991155 .157749 193.005 0 12.622 .000 1.680021 2.302288
a. Linear Slope at Age=18
b. Dependent Variable: risky: Risky Behavior at Occasion.


Ch 7b: Fixed Cubic, Random Linear Age Model



Mixed Model Analysis


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 11 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
agec18 1   1  
agec18 * agec18 1   1  
agec18 * agec18 * agec18 1   1  
Random Effects Intercept + agec18b 2 Unstructured 3 PersonID
Residual     1  
Total 6   8  
a. Dependent Variable: risky: Risky Behavior at Occasion.
b. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 7634.185
Akaike's Information Criterion (AIC) 7650.185
Hurvich and Tsai's Criterion (AICC) 7650.289
Bozdogan's Criterion (CAIC) 7700.139
Schwarz's Bayesian Criterion (BIC) 7692.139
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: risky: Risky Behavior at Occasion.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 7 rows
Source Numerator df Denominator df F Sig.
Intercept 1 258.871 3790.339 .000
agec18 1 1108.237 51.080 .000
agec18 * agec18 1 1027.865 3.715 .054
agec18 * agec18 * agec18 1 1029.542 .586 .444
a. Dependent Variable: risky: Risky Behavior at Occasion.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 8 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 23.525103 .382114 258.871 61.566 .000 22.772656 24.277550
agec18 2.193700 .306939 1108.237 7.147 .000 1.591454 2.795947
agec18 * agec18 .237376 .123158 1027.865 1.927 .054 -.004295 .479047
agec18 * agec18 * agec18 .010275 .013426 1029.542 .765 .444 -.016070 .036620
a. Dependent Variable: risky: Risky Behavior at Occasion.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 8 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual 8.344442 .373165 22.361 .000 7.644188 9.108843
Intercept + agec18 [subject = PersonID] UN (1,1) 21.711859 2.565526 8.463 .000 17.223323 27.370143
UN (2,1) 2.481343 .414795 5.982 .000 1.668360 3.294326
UN (2,2) .586366 .089457 6.555 .000 .434818 .790734
a. Dependent Variable: risky: Risky Behavior at Occasion.


Ch 7b: Fixed Quadratic, Random Linear Age Model; Attitudes Predicting Intercept



Mixed Model Analysis


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 11 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
agec18 1   1  
agec18 * agec18 1   1  
att4 1   1  
Random Effects Intercept + agec18b 2 Unstructured 3 PersonID
Residual     1  
Total 6   8  
a. Dependent Variable: risky: Risky Behavior at Occasion.
b. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 7625.562
Akaike's Information Criterion (AIC) 7641.562
Hurvich and Tsai's Criterion (AICC) 7641.665
Bozdogan's Criterion (CAIC) 7691.516
Schwarz's Bayesian Criterion (BIC) 7683.516
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: risky: Risky Behavior at Occasion.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 7 rows
Source Numerator df Denominator df F Sig.
Intercept 1 229.436 4267.180 .000
agec18 1 1187.650 181.380 .000
agec18 * agec18 1 1009.800 43.372 .000
att4 1 199.950 10.571 .001
a. Dependent Variable: risky: Risky Behavior at Occasion.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 8 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 23.399794 .358213 229.436 65.324 .000 22.693987 24.105602
agec18 1.987973 .147610 1187.650 13.468 .000 1.698368 2.277578
agec18 * agec18 .144672 .021967 1009.800 6.586 .000 .101565 .187778
att4 -1.332542 .409842 199.950 -3.251 .001 -2.140709 -.524376
a. Dependent Variable: risky: Risky Behavior at Occasion.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 8 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual 8.351944 .373503 22.361 .000 7.651057 9.117036
Intercept + agec18 [subject = PersonID] UN (1,1) 19.297873 2.394774 8.058 .000 15.131410 24.611580
UN (2,1) 2.227603 .399496 5.576 .000 1.444605 3.010602
UN (2,2) .584632 .089298 6.547 .000 .433379 .788674
a. Dependent Variable: risky: Risky Behavior at Occasion.


Correlations


CorrelationsCorrelations, table, 1 levels of column headers and 2 levels of row headers, table with 4 columns and 8 rows
  risky: Risky Behavior at Occasion Fixed Predicted Values
risky: Risky Behavior at Occasion Pearson Correlation 1 .470
Sig. (2-tailed)   .000
N 1400 1400
Fixed Predicted Values Pearson Correlation .470 1
Sig. (2-tailed) .000  
N 1400 1400


Ch 7b: Fixed Quadratic, Random Linear Age Model; Attitudes Predicting Linear Age Slope



Mixed Model Analysis



[PlotAgeAtt] 


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 12 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
agec18 1   1  
agec18 * agec18 1   1  
att4 1   1  
agec18 * att4 1   1  
Random Effects Intercept + agec18b 2 Unstructured 3 PersonID
Residual     1  
Total 7   9  
a. Dependent Variable: risky: Risky Behavior at Occasion.
b. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 7602.533
Akaike's Information Criterion (AIC) 7620.533
Hurvich and Tsai's Criterion (AICC) 7620.662
Bozdogan's Criterion (CAIC) 7676.731
Schwarz's Bayesian Criterion (BIC) 7667.731
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: risky: Risky Behavior at Occasion.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 8 rows
Source Numerator df Denominator df F Sig.
Intercept 1 244.616 4435.039 .000
agec18 1 1196.436 181.092 .000
agec18 * agec18 1 1010.593 43.615 .000
att4 1 199.568 32.763 .000
agec18 * att4 1 199.244 24.422 .000
a. Dependent Variable: risky: Risky Behavior at Occasion.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 9 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 23.312011 .350051 244.616 66.596 .000 22.622513 24.001509
agec18 1.964886 .146012 1196.436 13.457 .000 1.678419 2.251353
agec18 * agec18 .145047 .021963 1010.593 6.604 .000 .101949 .188146
att4 -3.155502 .551288 199.568 -5.724 .000 -4.242599 -2.068405
agec18 * att4 -.515426 .104298 199.244 -4.942 .000 -.721095 -.309757
a. Dependent Variable: risky: Risky Behavior at Occasion.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 8 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual 8.352886 .373583 22.359 .000 7.651851 9.118147
Intercept + agec18 [subject = PersonID] UN (1,1) 18.080944 2.204651 8.201 .000 14.237449 22.962017
UN (2,1) 1.884824 .356473 5.287 .000 1.186150 2.583497
UN (2,2) .488095 .079814 6.115 .000 .354255 .672502
a. Dependent Variable: risky: Risky Behavior at Occasion.


Correlations


CorrelationsCorrelations, table, 1 levels of column headers and 2 levels of row headers, table with 4 columns and 8 rows
  risky: Risky Behavior at Occasion Fixed Predicted Values
risky: Risky Behavior at Occasion Pearson Correlation 1 .486
Sig. (2-tailed)   .000
N 1400 1400
Fixed Predicted Values Pearson Correlation .486 1
Sig. (2-tailed) .000  
N 1400 1414


Predicted Outcomes for Fake People will be in PlotAgeAtt dataset Eq 7b.9: Fixed Quadratic, Random Linear Age Model; Attitudes Predicting Quadratic Age Slope



Mixed Model Analysis



[Chapter7b] C:\Dropbox\PilesOfVariance\Chapter7b\SPSS\SPSS_Chapter7b.sav


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 13 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
agec18 1   1  
agec18 * agec18 1   1  
att4 1   1  
agec18 * att4 1   1  
agec18 * agec18 * att4 1   1  
Random Effects Intercept + agec18b 2 Unstructured 3 PersonID
Residual     1  
Total 8   10  
a. Dependent Variable: risky: Risky Behavior at Occasion.
b. As of version 11.5, the syntax rules for the RANDOM subcommand have changed. Your command syntax may yield results that differ from those produced by prior versions. If you are using version 11 syntax, please consult the current syntax reference guide for more information.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Log Likelihood 7599.432
Akaike's Information Criterion (AIC) 7619.432
Hurvich and Tsai's Criterion (AICC) 7619.590
Bozdogan's Criterion (CAIC) 7681.874
Schwarz's Bayesian Criterion (BIC) 7671.874
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: risky: Risky Behavior at Occasion.


Fixed Effects


Type III Tests of Fixed EffectsaType III Tests of Fixed Effects, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 9 rows
Source Numerator df Denominator df F Sig.
Intercept 1 244.681 4430.771 .000
agec18 1 1196.519 177.672 .000
agec18 * agec18 1 1010.655 41.797 .000
att4 1 244.767 35.863 .000
agec18 * att4 1 1196.172 13.834 .000
agec18 * agec18 * att4 1 1011.437 3.106 .078
a. Dependent Variable: risky: Risky Behavior at Occasion.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 10 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 23.299302 .350028 244.681 66.564 .000 22.609849 23.988755
agec18 1.948020 .146145 1196.519 13.329 .000 1.661291 2.234749
agec18 * agec18 .142158 .021989 1010.655 6.465 .000 .099009 .185306
att4 -3.476359 .580502 244.767 -5.989 .000 -4.619776 -2.332943
agec18 * att4 -.900450 .242097 1196.172 -3.719 .000 -1.375432 -.425469
agec18 * agec18 * att4 -.064087 .036361 1011.437 -1.763 .078 -.135439 .007265
a. Dependent Variable: risky: Risky Behavior at Occasion.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 8 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual 8.325432 .372356 22.359 .000 7.626701 9.088178
Intercept + agec18 [subject = PersonID] UN (1,1) 18.087975 2.204033 8.207 .000 14.245261 22.967276
UN (2,1) 1.888334 .356562 5.296 .000 1.189485 2.587182
UN (2,2) .489841 .079881 6.132 .000 .355831 .674320
a. Dependent Variable: risky: Risky Behavior at Occasion.


Correlations


CorrelationsCorrelations, table, 1 levels of column headers and 2 levels of row headers, table with 4 columns and 8 rows
  risky: Risky Behavior at Occasion Fixed Predicted Values
risky: Risky Behavior at Occasion Pearson Correlation 1 .486
Sig. (2-tailed)   .000
N 1400 1400
Fixed Predicted Values Pearson Correlation .486 1
Sig. (2-tailed) .000  
N 1400 1400