Chapter 10a: Descriptive Statistics for Time-Invariant Variables



Summarize



[PersonMeans10a] 


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
PMageT0 207 100.0% 0 0.0% 207 100.0%
PMytdeathT0 207 100.0% 0 0.0% 207 100.0%
ReportReport, table, 1 levels of column headers and 1 levels of row headers, table with 3 columns and 7 rows
  PMageT0 PMytdeathT0
N 207 207
Mean 83.3341 -7.1747
Std. Deviation 2.96666 3.97849
Minimum 79.42 -15.91
Maximum 97.78 -.05


Correlations


CorrelationsCorrelations, table, 1 levels of column headers and 2 levels of row headers, table with 4 columns and 8 rows
  PMageT0 PMytdeathT0
PMageT0 Pearson Correlation 1 .154
Sig. (2-tailed)   .027
N 207 207
PMytdeathT0 Pearson Correlation .154 1
Sig. (2-tailed) .027  
N 207 207


Chapter 10a: Descriptive Statistics for Time-Varying Variables



Summarize



[Chapter10a] C:\Dropbox\PilesOfVariance\Chapter10a\SPSS\SPSS_Chapter10a.sav


Case Processing SummaryCase Processing Summary, table, 3 levels of column headers and 1 levels of row headers, table with 7 columns and 8 rows
  Cases
Included Excluded Total
N Percent N Percent N Percent
time: Years since Time 0 557 100.0% 0 0.0% 557 100.0%
tvage: Time-Varying Age in Years 557 100.0% 0 0.0% 557 100.0%
tvytdeath: Time-Varying Years to Death 557 100.0% 0 0.0% 557 100.0%
recall: Time-Varying Prose Recall 557 100.0% 0 0.0% 557 100.0%
ReportReport, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 7 rows
  time: Years since Time 0 tvage: Time-Varying Age in Years tvytdeath: Time-Varying Years to Death recall: Time-Varying Prose Recall
N 557 557 557 557
Mean 2.6742 85.65 -5.87 10.19
Std. Deviation 2.60310 3.557 3.664 3.827
Minimum .00 79 -16 0
Maximum 8.50 100 0 16


Ch 10a: Empty Means, Random Intercept Model for Prose Recall



Mixed Model Analysis


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: recall: Time-Varying Prose Recall.
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 2857.355
Akaike's Information Criterion (AIC) 2863.355
Hurvich and Tsai's Criterion (AICC) 2863.398
Bozdogan's Criterion (CAIC) 2879.323
Schwarz's Bayesian Criterion (BIC) 2876.323
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 1 197.012 1509.305 .000
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 9.734908 .250578 197.012 38.850 .000 9.240748 10.229068
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 5.164587 .393006 13.141 .000 4.449000 5.995271
Intercept [subject = PersonID] Variance 10.457916 1.309558 7.986 .000 8.181939 13.367002
a. Dependent Variable: recall: Time-Varying Prose Recall.


Ch 10a: Saturated Means by Rounded Years in Study, Random Intercept Model for Prose Recall



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 7 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects occasion 5   5  
Random Effects Intercept 1 Identity 1 PersonID
Residual     1  
Total 6   7  
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 2841.409
Akaike's Information Criterion (AIC) 2855.409
Hurvich and Tsai's Criterion (AICC) 2855.613
Bozdogan's Criterion (CAIC) 2892.667
Schwarz's Bayesian Criterion (BIC) 2885.667
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: recall: Time-Varying Prose Recall.


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.
occasion 5 353.236 303.056 .000
a. Dependent Variable: recall: Time-Varying Prose Recall.
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
[occasion=0] 9.676717 .277639 291.640 34.854 .000 9.130287 10.223147
[occasion=2] 9.996637 .302975 364.825 32.995 .000 9.400840 10.592433
[occasion=4] 9.756204 .334648 453.181 29.154 .000 9.098549 10.413859
[occasion=6] 9.956867 .381831 535.060 26.077 .000 9.206795 10.706939
[occasion=8] 8.461750 .427512 556.917 19.793 .000 7.622018 9.301483
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 4.920006 .375073 13.117 .000 4.237161 5.712896
Intercept [subject = PersonID] Variance 10.643512 1.320272 8.062 .000 8.346374 13.572883
a. Dependent Variable: recall: Time-Varying Prose Recall.


Ch 10a: Saturated Means by Rounded Age, Random Intercept Model for Prose Recall



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 7 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects roundage 17   17  
Random Effects Intercept 1 Identity 1 PersonID
Residual     1  
Total 18   19  
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 2830.166
Akaike's Information Criterion (AIC) 2868.166
Hurvich and Tsai's Criterion (AICC) 2869.581
Bozdogan's Criterion (CAIC) 2969.295
Schwarz's Bayesian Criterion (BIC) 2950.295
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: recall: Time-Varying Prose Recall.


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.
roundage 17 438.819 91.334 .000
a. Dependent Variable: recall: Time-Varying Prose Recall.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 21 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
[roundage=79.00] 13.491274 1.743314 383.626 7.739 .000 10.063628 16.918921
[roundage=80.00] 10.450383 .611892 553.670 17.079 .000 9.248469 11.652298
[roundage=81.00] 9.744570 .449790 528.740 21.665 .000 8.860974 10.628166
[roundage=82.00] 10.133813 .484116 542.804 20.933 .000 9.182843 11.084783
[roundage=83.00] 9.882024 .428356 514.105 23.070 .000 9.040481 10.723567
[roundage=84.00] 9.849919 .424286 520.783 23.215 .000 9.016397 10.683441
[roundage=85.00] 9.609311 .434401 524.634 22.121 .000 8.755931 10.462691
[roundage=86.00] 9.980221 .455648 533.372 21.903 .000 9.085137 10.875305
[roundage=87.00] 9.873109 .434389 535.891 22.729 .000 9.019794 10.726424
[roundage=88.00] 9.578094 .498352 554.597 19.220 .000 8.599205 10.556983
[roundage=89.00] 8.969229 .458413 546.391 19.566 .000 8.068762 9.869696
[roundage=90.00] 9.627684 .590754 554.793 16.297 .000 8.467295 10.788073
[roundage=91.00] 7.692220 .631747 531.003 12.176 .000 6.451189 8.933251
[roundage=92.00] 9.518877 .721311 508.623 13.197 .000 8.101761 10.935994
[roundage=93.00] 7.787842 .990446 492.227 7.863 .000 5.841818 9.733867
[roundage=94.00] 10.494866 1.159317 426.730 9.053 .000 8.216184 12.773549
[roundage=95.00] 10.739851 1.219186 514.682 8.809 .000 8.344659 13.135044
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 4.813044 .366859 13.120 .000 4.145146 5.588560
Intercept [subject = PersonID] Variance 10.474053 1.297341 8.073 .000 8.216425 13.352009
a. Dependent Variable: recall: Time-Varying Prose Recall.


Ch 10a: Saturated Means by Rounded Years to Death, Random Intercept Model for Prose Recall



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 7 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects roundytdeath 16   16  
Random Effects Intercept 1 Identity 1 PersonID
Residual     1  
Total 17   18  
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 2835.145
Akaike's Information Criterion (AIC) 2871.145
Hurvich and Tsai's Criterion (AICC) 2872.416
Bozdogan's Criterion (CAIC) 2966.951
Schwarz's Bayesian Criterion (BIC) 2948.951
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: recall: Time-Varying Prose Recall.


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.
roundytdeath 16 438.046 95.606 .000
a. Dependent Variable: recall: Time-Varying Prose Recall.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 20 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
[roundytdeath=-15.00] 9.556733 1.304465 419.314 7.326 .000 6.992628 12.120838
[roundytdeath=-14.00] 10.098399 .950527 456.096 10.624 .000 8.230443 11.966354
[roundytdeath=-13.00] 10.294256 .699022 508.713 14.727 .000 8.920931 11.667582
[roundytdeath=-12.00] 10.508539 .722776 527.604 14.539 .000 9.088667 11.928411
[roundytdeath=-11.00] 10.226445 .568451 549.127 17.990 .000 9.109841 11.343049
[roundytdeath=-10.00] 10.402521 .546394 554.319 19.038 .000 9.329265 11.475777
[roundytdeath=-9.00] 9.692949 .460790 555.024 21.036 .000 8.787843 10.598054
[roundytdeath=-8.00] 10.176225 .515161 556.442 19.753 .000 9.164326 11.188123
[roundytdeath=-7.00] 10.221381 .429675 547.191 23.789 .000 9.377366 11.065396
[roundytdeath=-6.00] 10.692707 .470505 556.868 22.726 .000 9.768525 11.616888
[roundytdeath=-5.00] 9.642726 .416800 529.284 23.135 .000 8.823940 10.461511
[roundytdeath=-4.00] 9.565905 .447347 550.926 21.384 .000 8.687192 10.444619
[roundytdeath=-3.00] 9.398729 .419191 527.631 22.421 .000 8.575241 10.222217
[roundytdeath=-2.00] 9.984575 .463975 539.736 21.520 .000 9.073157 10.895994
[roundytdeath=-1.00] 8.448099 .449257 538.697 18.805 .000 7.565589 9.330609
[roundytdeath=.00] 8.984182 .685035 554.636 13.115 .000 7.638603 10.329762
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 4.848610 .369991 13.105 .000 4.175063 5.630816
Intercept [subject = PersonID] Variance 10.606472 1.315433 8.063 .000 8.317704 13.525036
a. Dependent Variable: recall: Time-Varying Prose Recall.


Ch 10a: Empty Means, Random Intercept Model for Years since Birth



Mixed Model Analysis


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: tvage: Time-Varying Age in Years.
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 2920.427
Akaike's Information Criterion (AIC) 2926.427
Hurvich and Tsai's Criterion (AICC) 2926.470
Bozdogan's Criterion (CAIC) 2942.394
Schwarz's Bayesian Criterion (BIC) 2939.394
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: tvage: Time-Varying Age in Years.


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 1 185.734 175136.884 .000
a. Dependent Variable: tvage: Time-Varying Age in Years.
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 85.402362 .204071 185.734 418.494 .000 84.999767 85.804957
a. Dependent Variable: tvage: Time-Varying Age in Years.


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 7.772831 .586950 13.243 .000 6.703513 9.012723
Intercept [subject = PersonID] Variance 5.091143 .886127 5.745 .000 3.619606 7.160927
a. Dependent Variable: tvage: Time-Varying Age in Years.


Ch 10a: Empty Means, Random Intercept Model for Years to Death



Mixed Model Analysis


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: tvytdeath: Time-Varying Years to Death.
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 2938.924
Akaike's Information Criterion (AIC) 2944.924
Hurvich and Tsai's Criterion (AICC) 2944.967
Bozdogan's Criterion (CAIC) 2960.892
Schwarz's Bayesian Criterion (BIC) 2957.892
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: tvytdeath: Time-Varying Years to Death.


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 1 189.804 649.305 .000
a. Dependent Variable: tvytdeath: Time-Varying Years to Death.
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 -5.486775 .215324 189.804 -25.481 .000 -5.911511 -5.062039
a. Dependent Variable: tvytdeath: Time-Varying Years to Death.


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 7.716210 .582306 13.251 .000 6.655303 8.946234
Intercept [subject = PersonID] Variance 6.042813 .977050 6.185 .000 4.401596 8.295989
a. Dependent Variable: tvytdeath: Time-Varying Years to Death.


Ch 10a: Empty Means, Random Intercept Model for Years in Study



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 4 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.
The final Hessian matrix is not positive definite although all convergence criteria are satisfied. The MIXED procedure continues despite this warning. Validity of subsequent results cannot be ascertained.
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: time: Years since Time 0.
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 2645.464
Akaike's Information Criterion (AIC) 2651.464
Hurvich and Tsai's Criterion (AICC) 2651.508
Bozdogan's Criterion (CAIC) 2667.432
Schwarz's Bayesian Criterion (BIC) 2664.432
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: time: Years since Time 0.


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 1 557.000 588.907 .000
a. Dependent Variable: time: Years since Time 0.
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 2.674216 .110198 557.000 24.267 .000 2.457762 2.890670
a. Dependent Variable: time: Years since Time 0.


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 7 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual 6.763969 .405312 16.688 .000 6.014448 7.606895
Intercept [subject = PersonID] Variance .000000b .000000 . . . .
a. Dependent Variable: time: Years since Time 0.
b. This covariance parameter is redundant. The test statistic and confidence interval cannot be computed.


Ch 10a: Fixed Quadratic, Random Intercept Model using Years since Birth



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 9 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
tvage84 1   1  
tvage84 * tvage84 1   1  
Random Effects Intercept 1 Identity 1 PersonID
Residual     1  
Total 4   5  
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 2850.626
Akaike's Information Criterion (AIC) 2860.626
Hurvich and Tsai's Criterion (AICC) 2860.735
Bozdogan's Criterion (CAIC) 2887.239
Schwarz's Bayesian Criterion (BIC) 2882.239
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 1 230.953 1389.517 .000
tvage84 1 465.355 5.307 .022
tvage84 * tvage84 1 474.966 .400 .528
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 9.819651 .263429 230.953 37.276 .000 9.300619 10.338682
tvage84 -.118989 .051650 465.355 -2.304 .022 -.220485 -.017493
tvage84 * tvage84 .004792 .007579 474.966 .632 .528 -.010101 .019684
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 5.071611 .386001 13.139 .000 4.368787 5.887502
Intercept [subject = PersonID] Variance 10.480427 1.307502 8.016 .000 8.207030 13.383569
a. Dependent Variable: recall: Time-Varying Prose Recall.


Eq 10a.1: Random Linear Model using Years since Birth



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  
tvage84 1   1  
Random Effects Intercept + tvage84b 2 Unstructured 3 PersonID
Residual     1  
Total 4   6  
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 2839.680
Akaike's Information Criterion (AIC) 2851.680
Hurvich and Tsai's Criterion (AICC) 2851.833
Bozdogan's Criterion (CAIC) 2883.616
Schwarz's Bayesian Criterion (BIC) 2877.616
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 1 180.754 1378.944 .000
tvage84 1 131.124 4.062 .046
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 9.811871 .264228 180.754 37.134 .000 9.290503 10.333238
tvage84 -.090112 .044710 131.124 -2.015 .046 -.178557 -.001666
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 4.275194 .384086 11.131 .000 3.584953 5.098333
Intercept + tvage84 [subject = PersonID] UN (1,1) 11.265178 1.472972 7.648 .000 8.718458 14.555813
UN (2,1) -.327467 .177643 -1.843 .065 -.675641 .020707
UN (2,2) .089999 .034266 2.626 .009 .042673 .189812
a. Dependent Variable: recall: Time-Varying Prose Recall.


Eq 10a.1: Fixed Quadratic, Random Linear Model using Years since Birth



Mixed Model Analysis



[PlotUncTime] 


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  
tvage84 1   1  
tvage84 * tvage84 1   1  
Random Effects Intercept + tvage84b 2 Unstructured 3 PersonID
Residual     1  
Total 5   7  
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 2839.617
Akaike's Information Criterion (AIC) 2853.617
Hurvich and Tsai's Criterion (AICC) 2853.821
Bozdogan's Criterion (CAIC) 2890.875
Schwarz's Bayesian Criterion (BIC) 2883.875
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 1 197.222 1334.272 .000
tvage84 1 211.917 1.971 .162
tvage84 * tvage84 1 185.419 .068 .795
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 9.824619 .268964 197.222 36.528 .000 9.294205 10.355033
tvage84 -.080789 .057545 211.917 -1.404 .162 -.194223 .032645
tvage84 * tvage84 -.002205 .008481 185.419 -.260 .795 -.018936 .014526
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 4.262691 .385878 11.047 .000 3.569680 5.090242
Intercept + tvage84 [subject = PersonID] UN (1,1) 11.262731 1.472989 7.646 .000 8.716053 14.553503
UN (2,1) -.331496 .179201 -1.850 .064 -.682723 .019731
UN (2,2) .092226 .035666 2.586 .010 .043219 .196802
a. Dependent Variable: recall: Time-Varying Prose Recall.


Correlations


CorrelationsCorrelations, table, 1 levels of column headers and 2 levels of row headers, table with 4 columns and 8 rows
  recall: Time-Varying Prose Recall Fixed Predicted Values
recall: Time-Varying Prose Recall Pearson Correlation 1 .059
Sig. (2-tailed)   .162
N 557 557
Fixed Predicted Values Pearson Correlation .059 1
Sig. (2-tailed) .162  
N 557 564


Predicted Outcomes for Fake People will be in PlotUncTime dataset Ch 10a: Fixed Quadratic, Random Intercept Model using Years to Death



Mixed Model Analysis



[Chapter10a] C:\Dropbox\PilesOfVariance\Chapter10a\SPSS\SPSS_Chapter10a.sav


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 9 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
tvytdeath7 1   1  
tvytdeath7 * tvytdeath7 1   1  
Random Effects Intercept 1 Identity 1 PersonID
Residual     1  
Total 4   5  
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 2845.390
Akaike's Information Criterion (AIC) 2855.390
Hurvich and Tsai's Criterion (AICC) 2855.499
Bozdogan's Criterion (CAIC) 2882.003
Schwarz's Bayesian Criterion (BIC) 2877.003
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 1 285.998 1286.542 .000
tvytdeath7 1 503.604 6.665 .010
tvytdeath7 * tvytdeath7 1 413.064 3.565 .060
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 10.132785 .282499 285.998 35.868 .000 9.576744 10.688826
tvytdeath7 -.099224 .038433 503.604 -2.582 .010 -.174732 -.023715
tvytdeath7 * tvytdeath7 -.014866 .007874 413.064 -1.888 .060 -.030344 .000612
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 5.012146 .381488 13.138 .000 4.317541 5.818498
Intercept [subject = PersonID] Variance 10.440423 1.300531 8.028 .000 8.178744 13.327527
a. Dependent Variable: recall: Time-Varying Prose Recall.


Eq 10a.1: Fixed Quadratic, Random Linear Model using Years to Death



Mixed Model Analysis



[PlotUncTime] 


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  
tvytdeath7 1   1  
tvytdeath7 * tvytdeath7 1   1  
Random Effects Intercept + tvytdeath7b 2 Unstructured 3 PersonID
Residual     1  
Total 5   7  
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 2828.858
Akaike's Information Criterion (AIC) 2842.858
Hurvich and Tsai's Criterion (AICC) 2843.062
Bozdogan's Criterion (CAIC) 2880.115
Schwarz's Bayesian Criterion (BIC) 2873.115
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 1 202.055 1361.360 .000
tvytdeath7 1 112.209 3.327 .071
tvytdeath7 * tvytdeath7 1 267.786 5.435 .020
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 10.147068 .275014 202.055 36.897 .000 9.604803 10.689333
tvytdeath7 -.086684 .047523 112.209 -1.824 .071 -.180842 .007474
tvytdeath7 * tvytdeath7 -.020266 .008693 267.786 -2.331 .020 -.037380 -.003151
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 4.066472 .365580 11.123 .000 3.409526 4.849998
Intercept + tvytdeath7 [subject = PersonID] UN (1,1) 9.819067 1.387091 7.079 .000 7.444323 12.951356
UN (2,1) -.071495 .159309 -.449 .654 -.383735 .240746
UN (2,2) .120250 .039628 3.034 .002 .063033 .229402
a. Dependent Variable: recall: Time-Varying Prose Recall.


Correlations


CorrelationsCorrelations, table, 1 levels of column headers and 2 levels of row headers, table with 4 columns and 8 rows
  recall: Time-Varying Prose Recall Fixed Predicted Values
recall: Time-Varying Prose Recall Pearson Correlation 1 .110
Sig. (2-tailed)   .009
N 557 557
Fixed Predicted Values Pearson Correlation .110 1
Sig. (2-tailed) .009  
N 557 564


Predicted Outcomes for Fake People will be in PlotUncTime dataset Ch 10a: Fixed Quadratic, Random Intercept Model using Years in Study



Mixed Model Analysis



[Chapter10a] C:\Dropbox\PilesOfVariance\Chapter10a\SPSS\SPSS_Chapter10a.sav


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 9 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
time 1   1  
time * time 1   1  
Random Effects Intercept 1 Identity 1 PersonID
Residual     1  
Total 4   5  
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 2846.009
Akaike's Information Criterion (AIC) 2856.009
Hurvich and Tsai's Criterion (AICC) 2856.118
Bozdogan's Criterion (CAIC) 2882.622
Schwarz's Bayesian Criterion (BIC) 2877.622
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 1 282.360 1234.299 .000
time 1 377.995 4.803 .029
time * time 1 366.792 8.785 .003
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 9.660987 .274986 282.360 35.133 .000 9.119703 10.202270
time .261331 .119243 377.995 2.192 .029 .026868 .495794
time * time -.046907 .015826 366.792 -2.964 .003 -.078027 -.015787
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 4.983024 .379737 13.122 .000 4.291668 5.785752
Intercept [subject = PersonID] Variance 10.621616 1.320374 8.044 .000 8.324875 13.552003
a. Dependent Variable: recall: Time-Varying Prose Recall.


Eq 10a.1: Fixed Quadratic, Random Linear Model using Years in Study



Mixed Model Analysis



[PlotUncTime] 


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  
time 1   1  
time * time 1   1  
Random Effects Intercept + timeb 2 Unstructured 3 PersonID
Residual     1  
Total 5   7  
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 2827.836
Akaike's Information Criterion (AIC) 2841.836
Hurvich and Tsai's Criterion (AICC) 2842.040
Bozdogan's Criterion (CAIC) 2879.094
Schwarz's Bayesian Criterion (BIC) 2872.094
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 1 218.946 1122.534 .000
time 1 355.991 6.342 .012
time * time 1 341.600 10.276 .001
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 9.638345 .287675 218.946 33.504 .000 9.071378 10.205312
time .280702 .111463 355.991 2.518 .012 .061493 .499912
time * time -.047923 .014950 341.600 -3.206 .001 -.077328 -.018518
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 3.957360 .361039 10.961 .000 3.309393 4.732195
Intercept + time [subject = PersonID] UN (1,1) 13.067511 1.653646 7.902 .000 10.197094 16.745933
UN (2,1) -.655290 .234287 -2.797 .005 -1.114484 -.196096
UN (2,2) .133591 .044421 3.007 .003 .069621 .256337
a. Dependent Variable: recall: Time-Varying Prose Recall.


Correlations


CorrelationsCorrelations, table, 1 levels of column headers and 2 levels of row headers, table with 4 columns and 8 rows
  recall: Time-Varying Prose Recall Fixed Predicted Values
recall: Time-Varying Prose Recall Pearson Correlation 1 .059
Sig. (2-tailed)   .163
N 557 557
Fixed Predicted Values Pearson Correlation .059 1
Sig. (2-tailed) .163  
N 557 564


Predicted Outcomes for Fake People will be in PlotUncTime dataset Eq 10a.2: Fixed Quadratic, Random Linear Model using Years since Birth; Controlling for Birth Cohort



Mixed Model Analysis



[PlotCondTime] 


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  
tvage84 1   1  
tvage84 * tvage84 1   1  
ageT084 1   1  
ageT084 * ageT084 1   1  
tvage84 * ageT084 1   1  
Random Effects Intercept + tvage84b 2 Unstructured 3 PersonID
Residual     1  
Total 8   10  
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 2823.845
Akaike's Information Criterion (AIC) 2843.845
Hurvich and Tsai's Criterion (AICC) 2844.248
Bozdogan's Criterion (CAIC) 2897.071
Schwarz's Bayesian Criterion (BIC) 2887.071
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 1 256.479 719.419 .000
tvage84 1 353.979 6.802 .009
tvage84 * tvage84 1 333.443 9.056 .003
ageT084 1 522.388 14.085 .000
ageT084 * ageT084 1 162.360 6.391 .012
tvage84 * ageT084 1 356.742 13.256 .000
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 9.414132 .350986 256.479 26.822 .000 8.722951 10.105313
tvage84 .295902 .113458 353.979 2.608 .009 .072766 .519038
tvage84 * tvage84 -.045388 .015083 333.443 -3.009 .003 -.075057 -.015719
ageT084 -.579335 .154367 522.388 -3.753 .000 -.882591 -.276080
ageT084 * ageT084 -.077489 .030651 162.360 -2.528 .012 -.138015 -.016964
tvage84 * ageT084 .125601 .034497 356.742 3.641 .000 .057757 .193445
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 4.110769 .374546 10.975 .000 3.438485 4.914496
Intercept + tvage84 [subject = PersonID] UN (1,1) 11.154606 1.448106 7.703 .000 8.648686 14.386607
UN (2,1) -.342430 .176974 -1.935 .053 -.689292 .004433
UN (2,2) .090722 .034352 2.641 .008 .043192 .190556
a. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 1 (Multivariate Test of Birth Cohort Contextual Effects)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 8 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.579335 .154367 522.388 0 -3.753 .000 -.882591 -.276080
L2 -.077489 .030651 162.360 0 -2.528 .012 -.138015 -.016964
L3 .125601 .034497 356.742 0 3.641 .000 .057757 .193445
a. Multivariate Test of Birth Cohort Contextual Effects
b. Dependent Variable: recall: Time-Varying Prose Recall.
Test of ContrastsaTest of Contrasts, 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.
Multivariate Test of Birth Cohort Contextual Effects 3 154.841 5.342 .002
a. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 2 (Contextual Linear Birth Cohort on Intercept)


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 -.579335 .154367 522.388 0 -3.753 .000 -.882591 -.276080
a. Contextual Linear Birth Cohort on Intercept
b. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 3 (Contextual Quadratic Birth Cohort on Intercept)


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 -.077489 .030651 162.360 0 -2.528 .012 -.138015 -.016964
a. Contextual Quadratic Birth Cohort on Intercept
b. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 4 (Contextual Linear Birth Cohort on Linear Slope)


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 .125601 .034497 356.742 0 3.641 .000 .057757 .193445
a. Contextual Linear Birth Cohort on Linear Slope
b. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 5 (Total Linear Birth Cohort on Intercept)


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 -.283433 .104379 233.526 0 -2.715 .007 -.489077 -.077789
a. Total Linear Birth Cohort on Intercept
b. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 6 (Total Quadratic Birth Cohort on Intercept)


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 .002724 .021558 81.322 0 .126 .900 -.040168 .045616
a. Total Quadratic Birth Cohort on Intercept
b. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 7 (Total Linear Birth Cohort on Linear Slope)


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 .034825 .020182 145.517 0 1.726 .087 -.005063 .074713
a. Total Linear Birth Cohort on Linear Slope
b. Dependent Variable: recall: Time-Varying Prose Recall.


Correlations


CorrelationsCorrelations, table, 1 levels of column headers and 2 levels of row headers, table with 4 columns and 8 rows
  recall: Time-Varying Prose Recall Fixed Predicted Values
recall: Time-Varying Prose Recall Pearson Correlation 1 .157
Sig. (2-tailed)   .000
N 557 557
Fixed Predicted Values Pearson Correlation .157 1
Sig. (2-tailed) .000  
N 557 578


Predicted Outcomes for Fake People will be in PlotCondTime dataset Eq 10a.2: Fixed Quadratic, Random Linear Model using Years in Study; Controlling for Birth Cohort



Mixed Model Analysis


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  
time 1   1  
time * time 1   1  
ageT084 1   1  
ageT084 * ageT084 1   1  
time * ageT084 1   1  
Random Effects Intercept + timeb 2 Unstructured 3 PersonID
Residual     1  
Total 8   10  
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 2818.545
Akaike's Information Criterion (AIC) 2838.545
Hurvich and Tsai's Criterion (AICC) 2838.948
Bozdogan's Criterion (CAIC) 2891.771
Schwarz's Bayesian Criterion (BIC) 2881.771
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 1 230.279 705.831 .000
time 1 366.146 7.771 .006
time * time 1 340.192 9.261 .003
ageT084 1 205.171 7.999 .005
ageT084 * ageT084 1 229.856 .248 .619
time * ageT084 1 126.224 4.532 .035
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 9.340209 .351566 230.279 26.567 .000 8.647513 10.032905
time .313228 .112366 366.146 2.788 .006 .092264 .534192
time * time -.045554 .014969 340.192 -3.043 .003 -.074998 -.016110
ageT084 -.297234 .105095 205.171 -2.828 .005 -.504438 -.090030
ageT084 * ageT084 .009130 .018321 229.856 .498 .619 -.026968 .045228
time * ageT084 .044274 .020798 126.224 2.129 .035 .003116 .085433
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 3.940494 .359647 10.957 .000 3.295050 4.712370
Intercept + time [subject = PersonID] UN (1,1) 12.483758 1.595910 7.822 .000 9.716921 16.038437
UN (2,1) -.596342 .225568 -2.644 .008 -1.038447 -.154236
UN (2,2) .127202 .043208 2.944 .003 .065367 .247532
a. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 1 (Multivariate Test of Birth Cohort Total Effects)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 8 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.297234 .105095 205.171 0 -2.828 .005 -.504438 -.090030
L2 .009130 .018321 229.856 0 .498 .619 -.026968 .045228
L3 .044274 .020798 126.224 0 2.129 .035 .003116 .085433
a. Multivariate Test of Birth Cohort Total Effects
b. Dependent Variable: recall: Time-Varying Prose Recall.
Test of ContrastsaTest of Contrasts, 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.
Multivariate Test of Birth Cohort Total Effects 3 182.562 3.147 .026
a. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 2 (Contextual Linear Birth Cohort on Intercept)


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 -.610462 .157707 463.673 0 -3.871 .000 -.920371 -.300554
a. Contextual Linear Birth Cohort on Intercept
b. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 3 (Contextual Quadratic Birth Cohort on Intercept)


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 -.080699 .029716 285.349 0 -2.716 .007 -.139188 -.022209
a. Contextual Quadratic Birth Cohort on Intercept
b. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 4 (Contextual Linear Birth Cohort on Linear Slope)


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 .135382 .034819 343.549 0 3.888 .000 .066898 .203867
a. Contextual Linear Birth Cohort on Linear Slope
b. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 5 (Total Linear Birth Cohort on Intercept)


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 -.297234 .105095 205.171 0 -2.828 .005 -.504438 -.090030
a. Total Linear Birth Cohort on Intercept
b. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 6 (Total Quadratic Birth Cohort on Intercept)


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 .009130 .018321 229.856 0 .498 .619 -.026968 .045228
a. Total Quadratic Birth Cohort on Intercept
b. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 7 (Total Linear Birth Cohort on Linear Slope)


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 .044274 .020798 126.224 0 2.129 .035 .003116 .085433
a. Total Linear Birth Cohort on Linear Slope
b. Dependent Variable: recall: Time-Varying Prose Recall.


Correlations


CorrelationsCorrelations, table, 1 levels of column headers and 2 levels of row headers, table with 4 columns and 8 rows
  recall: Time-Varying Prose Recall Fixed Predicted Values
recall: Time-Varying Prose Recall Pearson Correlation 1 .161
Sig. (2-tailed)   .000
N 557 557
Fixed Predicted Values Pearson Correlation .161 1
Sig. (2-tailed) .000  
N 557 578


Predicted Outcomes for Fake People will be in PlotCondTime dataset Eq 10a.2: Fixed Quadratic, Random Linear Model using Years to Death; Controlling for Death Cohort



Mixed Model Analysis


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  
tvytdeath7 1   1  
tvytdeath7 * tvytdeath7 1   1  
ytdeathT07 1   1  
ytdeathT07 * ytdeathT07 1   1  
tvytdeath7 * ytdeathT07 1   1  
Random Effects Intercept + tvytdeath7b 2 Unstructured 3 PersonID
Residual     1  
Total 8   10  
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 2820.176
Akaike's Information Criterion (AIC) 2840.176
Hurvich and Tsai's Criterion (AICC) 2840.579
Bozdogan's Criterion (CAIC) 2893.402
Schwarz's Bayesian Criterion (BIC) 2883.402
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 1 195.685 701.160 .000
tvytdeath7 1 358.465 3.496 .062
tvytdeath7 * tvytdeath7 1 321.330 12.447 .000
ytdeathT07 1 532.606 7.394 .007
ytdeathT07 * ytdeathT07 1 434.691 2.344 .127
tvytdeath7 * ytdeathT07 1 365.783 7.484 .007
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 9.749435 .368189 195.685 26.479 .000 9.023307 10.475563
tvytdeath7 .213319 .114084 358.465 1.870 .062 -.011039 .437677
tvytdeath7 * tvytdeath7 -.056381 .015981 321.330 -3.528 .000 -.087822 -.024940
ytdeathT07 -.352183 .129520 532.606 -2.719 .007 -.606615 -.097750
ytdeathT07 * ytdeathT07 -.034933 .022818 434.691 -1.531 .127 -.079780 .009915
tvytdeath7 * ytdeathT07 .084672 .030950 365.783 2.736 .007 .023810 .145534
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 3.998746 .357865 11.174 .000 3.355414 4.765425
Intercept + tvytdeath7 [subject = PersonID] UN (1,1) 9.702115 1.366384 7.101 .000 7.361878 12.786279
UN (2,1) -.057536 .155983 -.369 .712 -.363258 .248186
UN (2,2) .116811 .037869 3.085 .002 .061878 .220512
a. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 1 (Multivariate Test of Death Cohort Contextual Effects)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 8 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.352183 .129520 532.606 0 -2.719 .007 -.606615 -.097750
L2 -.034933 .022818 434.691 0 -1.531 .127 -.079780 .009915
L3 .084672 .030950 365.783 0 2.736 .007 .023810 .145534
a. Multivariate Test of Death Cohort Contextual Effects
b. Dependent Variable: recall: Time-Varying Prose Recall.
Test of ContrastsaTest of Contrasts, 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.
Multivariate Test of Death Cohort Contextual Effects 3 363.048 2.920 .034
a. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 2 (Contextual Linear Death Cohort on Intercept)


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 -.352183 .129520 532.606 0 -2.719 .007 -.606615 -.097750
a. Contextual Linear Death Cohort on Intercept
b. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 3 (Contextual Quadratic Death Cohort on Intercept)


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 -.034933 .022818 434.691 0 -1.531 .127 -.079780 .009915
a. Contextual Quadratic Death Cohort on Intercept
b. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 4 (Contextual Linear Death Cohort on Linear Slope)


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 .084672 .030950 365.783 0 2.736 .007 .023810 .145534
a. Contextual Linear Death Cohort on Linear Slope
b. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 5 (Total Linear Death Cohort on Intercept)


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 -.138864 .073169 244.114 0 -1.898 .059 -.282988 .005260
a. Total Linear Death Cohort on Intercept
b. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 6 (Total Quadratic Death Cohort on Intercept)


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 -.006642 .017630 204.629 0 -.377 .707 -.041401 .028117
a. Total Quadratic Death Cohort on Intercept
b. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 7 (Total Linear Death Cohort on Linear Slope)


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 -.028091 .018188 229.987 0 -1.545 .124 -.063926 .007745
a. Total Linear Death Cohort on Linear Slope
b. Dependent Variable: recall: Time-Varying Prose Recall.


Correlations


CorrelationsCorrelations, table, 1 levels of column headers and 2 levels of row headers, table with 4 columns and 8 rows
  recall: Time-Varying Prose Recall Fixed Predicted Values
recall: Time-Varying Prose Recall Pearson Correlation 1 .151
Sig. (2-tailed)   .000
N 557 557
Fixed Predicted Values Pearson Correlation .151 1
Sig. (2-tailed) .000  
N 557 578


Predicted Outcomes for Fake People will be in PlotCondTime dataset Eq 10a.2: Fixed Quadratic, Random Linear Model using Years in Study; Controlling for Death Cohort



Mixed Model Analysis


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  
time 1   1  
time * time 1   1  
ytdeathT07 1   1  
ytdeathT07 * ytdeathT07 1   1  
time * ytdeathT07 1   1  
Random Effects Intercept + timeb 2 Unstructured 3 PersonID
Residual     1  
Total 8   10  
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 2819.096
Akaike's Information Criterion (AIC) 2839.096
Hurvich and Tsai's Criterion (AICC) 2839.498
Bozdogan's Criterion (CAIC) 2892.321
Schwarz's Bayesian Criterion (BIC) 2882.321
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 1 231.038 615.226 .000
time 1 363.099 4.383 .037
time * time 1 323.256 12.251 .001
ytdeathT07 1 213.614 4.162 .043
ytdeathT07 * ytdeathT07 1 226.457 .203 .653
time * ytdeathT07 1 201.144 1.618 .205
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 9.746899 .392961 231.038 24.804 .000 8.972654 10.521143
time .235740 .112596 363.099 2.094 .037 .014318 .457163
time * time -.055502 .015857 323.256 -3.500 .001 -.086699 -.024306
ytdeathT07 -.146865 .071993 213.614 -2.040 .043 -.288773 -.004957
ytdeathT07 * ytdeathT07 -.007693 .017088 226.457 -.450 .653 -.041364 .025979
time * ytdeathT07 -.023270 .018294 201.144 -1.272 .205 -.059343 .012802
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 3.918300 .356654 10.986 .000 3.278077 4.683562
Intercept + time [subject = PersonID] UN (1,1) 12.712357 1.613316 7.880 .000 9.912900 16.302395
UN (2,1) -.641502 .229656 -2.793 .005 -1.091620 -.191384
UN (2,2) .131996 .043931 3.005 .003 .068748 .253430
a. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 1 (Multivariate Test of Death Cohort Total Effects)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 8 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 -.146865 .071993 213.614 0 -2.040 .043 -.288773 -.004957
L2 -.007693 .017088 226.457 0 -.450 .653 -.041364 .025979
L3 -.023270 .018294 201.144 0 -1.272 .205 -.059343 .012802
a. Multivariate Test of Death Cohort Total Effects
b. Dependent Variable: recall: Time-Varying Prose Recall.
Test of ContrastsaTest of Contrasts, 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.
Multivariate Test of Death Cohort Total Effects 3 204.448 2.942 .034
a. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 2 (Contextual Linear Birth Cohort on Intercept)


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 -.382605 .129640 527.864 0 -2.951 .003 -.637278 -.127932
a. Contextual Linear Birth Cohort on Intercept
b. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 3 (Contextual Quadratic Birth Cohort on Intercept)


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 -.039925 .022701 360.778 0 -1.759 .079 -.084567 .004717
a. Contextual Quadratic Birth Cohort on Intercept
b. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 4 (Contextual Linear Birth Cohort on Linear Slope)


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 .087735 .030700 369.949 0 2.858 .005 .027366 .148103
a. Contextual Linear Birth Cohort on Linear Slope
b. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 5 (Total Linear Birth Cohort on Intercept)


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 -.146865 .071993 213.614 0 -2.040 .043 -.288773 -.004957
a. Total Linear Birth Cohort on Intercept
b. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 6 (Total Quadratic Birth Cohort on Intercept)


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 -.007693 .017088 226.457 0 -.450 .653 -.041364 .025979
a. Total Quadratic Birth Cohort on Intercept
b. Dependent Variable: recall: Time-Varying Prose Recall.


Custom Hypothesis Test 7 (Total Linear Birth Cohort on Linear Slope)


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 -.023270 .018294 201.144 0 -1.272 .205 -.059343 .012802
a. Total Linear Birth Cohort on Linear Slope
b. Dependent Variable: recall: Time-Varying Prose Recall.


Correlations


CorrelationsCorrelations, table, 1 levels of column headers and 2 levels of row headers, table with 4 columns and 8 rows
  recall: Time-Varying Prose Recall Fixed Predicted Values
recall: Time-Varying Prose Recall Pearson Correlation 1 .156
Sig. (2-tailed)   .000
N 557 557
Fixed Predicted Values Pearson Correlation .156 1
Sig. (2-tailed) .000  
N 557 578


Predicted Outcomes for Fake People will be in PlotCondTime dataset Eq 10a.4: Fixed Quadratic, Random Linear Model using Years in Study; Controlling for Birth Cohort and Death Cohort



Mixed Model Analysis



[PlotBothTime] 


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 6 columns and 16 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
time 1   1  
time * time 1   1  
ageT084 1   1  
ageT084 * ageT084 1   1  
time * ageT084 1   1  
ytdeathT07 1   1  
ytdeathT07 * ytdeathT07 1   1  
time * ytdeathT07 1   1  
Random Effects Intercept + timeb 2 Unstructured 3 PersonID
Residual     1  
Total 11   13  
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 2810.603
Akaike's Information Criterion (AIC) 2836.603
Hurvich and Tsai's Criterion (AICC) 2837.274
Bozdogan's Criterion (CAIC) 2905.797
Schwarz's Bayesian Criterion (BIC) 2892.797
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 12 rows
Source Numerator df Denominator df F Sig.
Intercept 1 232.076 494.171 .000
time 1 369.319 5.624 .018
time * time 1 322.788 11.663 .001
ageT084 1 205.391 6.967 .009
ageT084 * ageT084 1 230.944 .359 .549
time * ageT084 1 126.555 4.978 .027
ytdeathT07 1 212.278 2.957 .087
ytdeathT07 * ytdeathT07 1 225.066 .377 .540
time * ytdeathT07 1 199.798 2.359 .126
a. Dependent Variable: recall: Time-Varying Prose Recall.
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 9.493169 .427044 232.076 22.230 .000 8.651791 10.334547
time .268580 .113254 369.319 2.371 .018 .045876 .491284
time * time -.054042 .015824 322.788 -3.415 .001 -.085175 -.022910
ageT084 -.278249 .105417 205.391 -2.640 .009 -.486087 -.070410
ageT084 * ageT084 .010932 .018236 230.944 .599 .549 -.024999 .046863
time * ageT084 .046343 .020771 126.555 2.231 .027 .005239 .087447
ytdeathT07 -.123132 .071602 212.278 -1.720 .087 -.264274 .018009
ytdeathT07 * ytdeathT07 -.010422 .016971 225.066 -.614 .540 -.043865 .023021
time * ytdeathT07 -.027989 .018224 199.798 -1.536 .126 -.063924 .007947
a. Dependent Variable: recall: Time-Varying Prose Recall.


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 3.896633 .354745 10.984 .000 3.259846 4.657811
Intercept + time [subject = PersonID] UN (1,1) 12.243727 1.566809 7.814 .000 9.527673 15.734047
UN (2,1) -.589300 .222249 -2.652 .008 -1.024900 -.153700
UN (2,2) .125678 .042687 2.944 .003 .064587 .244553
a. Dependent Variable: recall: Time-Varying Prose Recall.


Correlations


CorrelationsCorrelations, table, 1 levels of column headers and 2 levels of row headers, table with 4 columns and 8 rows
  recall: Time-Varying Prose Recall Fixed Predicted Values
recall: Time-Varying Prose Recall Pearson Correlation 1 .208
Sig. (2-tailed)   .000
N 557 557
Fixed Predicted Values Pearson Correlation .208 1
Sig. (2-tailed) .000  
N 557 587


Predicted Outcomes for Fake People will be in PlotBothTime dataset