Chapter 12: Descriptive Statistics for Subject-Level Variables



Summarize



[SubjectMeans12] 


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
SMage * SMolder 153 100.0% 0 0.0% 153 100.0%
ReportReport, table, SMage, 1 layers, 1 levels of column headers and 1 levels of row headers, table with 6 columns and 6 rows
SMage
SMolder N Mean Std. Deviation Minimum Maximum
.00 96 19.7083 2.26607 18.00 32.00
1.00 57 75.7018 5.36844 63.00 86.00
Total 153 40.5686 27.41416 18.00 86.00


Chapter 12: Descriptive Statistics for Item-Level Variables



Summarize



[ItemMeans12] 


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
IMrelevance 51 100.0% 0 0.0% 51 100.0%
IMsalience 51 100.0% 0 0.0% 51 100.0%
ReportReport, table, 1 levels of column headers and 1 levels of row headers, table with 3 columns and 7 rows
  IMrelevance IMsalience
N 51 51
Mean 2.6471 3.0196
Std. Deviation 1.90603 1.10436
Minimum .00 1.00
Maximum 5.00 5.00


Chapter 12: Descriptive Statistics for Trial-Level Variables



Summarize



[Chapter12] C:\Dropbox\PilesOfVariance\Chapter12\SPSS\SPSS_Chapter12.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
rt: Response Time in Seconds 7646 100.0% 0 0.0% 7646 100.0%
logrt: Natural Log RT in Seconds 7646 100.0% 0 0.0% 7646 100.0%
ReportReport, table, 1 levels of column headers and 1 levels of row headers, table with 3 columns and 7 rows
  rt: Response Time in Seconds logrt: Natural Log RT in Seconds
N 7646 7646
Mean 7.38 1.6121
Std. Deviation 8.089 .82846
Minimum 1 .14
Maximum 60 4.09


Ch 12: Empty Means, Single-Level Model for Log RT



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 2 rows
A(n) FIXED subcommand has no specifications and will therefore be ignored.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 4 columns and 6 rows
  Number of Levels Number of Parameters
Fixed Effects Intercept 1 1
Residual   1
Total 1 2
a. Dependent Variable: logrt: Natural Log RT in Seconds.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 18827.207
Akaike's Information Criterion (AIC) 18829.207
Hurvich and Tsai's Criterion (AICC) 18829.207
Bozdogan's Criterion (CAIC) 18837.148
Schwarz's Bayesian Criterion (BIC) 18836.148
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 7645 28949.990 .000
a. Dependent Variable: logrt: Natural Log RT in Seconds.
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 1.612058 .009475 7645 170.147 .000 1.593485 1.630630
a. Dependent Variable: logrt: Natural Log RT in Seconds.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 1 levels of row headers, table with 7 columns and 5 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .686352 .011101 61.826 .000 .664935 .708459
a. Dependent Variable: logrt: Natural Log RT in Seconds.


Ch 12: Add Subject Random Intercept Variance



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 SubjectID
Residual     1  
Total 2   3  
a. Dependent Variable: logrt: Natural Log RT in Seconds.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 17080.726
Akaike's Information Criterion (AIC) 17084.726
Hurvich and Tsai's Criterion (AICC) 17084.727
Bozdogan's Criterion (CAIC) 17100.609
Schwarz's Bayesian Criterion (BIC) 17098.609
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 1 151.694 2169.021 .000
a. Dependent Variable: logrt: Natural Log RT in Seconds.
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 1.619391 .034771 151.694 46.573 .000 1.550692 1.688089
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 .515723 .008426 61.207 .000 .499470 .532504
Intercept [subject = SubjectID] Variance .174653 .021241 8.222 .000 .137611 .221665
a. Dependent Variable: logrt: Natural Log RT in Seconds.


Ch 12: Add Item Random Intercept Variance



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 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  
Random Effects Intercept 1 Identity 1 SubjectID
Intercept 1 Identity 1 ItemID
Residual     1  
Total 3   4  
a. Dependent Variable: logrt: Natural Log RT in Seconds.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 15182.037
Akaike's Information Criterion (AIC) 15188.037
Hurvich and Tsai's Criterion (AICC) 15188.040
Bozdogan's Criterion (CAIC) 15211.863
Schwarz's Bayesian Criterion (BIC) 15208.863
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 99.818 711.926 .000
a. Dependent Variable: logrt: Natural Log RT in Seconds.
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 1.622606 .060813 99.818 26.682 .000 1.501952 1.743259
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 .389871 .006391 61.003 .000 .377544 .402601
Intercept [subject = SubjectID] Variance .180258 .021590 8.349 .000 .142542 .227954
Intercept [subject = ItemID] Variance .125919 .025705 4.899 .000 .084397 .187869
a. Dependent Variable: logrt: Natural Log RT in Seconds.


Ch 12: Add Fixed Effects of Item Predictors



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 3 rows
The covariance structure for random effect with only one level will be changed to Identity.
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 11 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
rel3 1   1  
sal3 1   1  
rel3 * sal3 1   1  
Random Effects Intercept 1 Identity 1 SubjectID
Intercept 1 Identity 1 ItemID
Residual     1  
Total 6   7  
a. Dependent Variable: logrt: Natural Log RT in Seconds.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 15181.075
Akaike's Information Criterion (AIC) 15187.075
Hurvich and Tsai's Criterion (AICC) 15187.078
Bozdogan's Criterion (CAIC) 15210.899
Schwarz's Bayesian Criterion (BIC) 15207.899
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 1 104.450 801.867 .000
rel3 1 47.009 4.482 .040
sal3 1 47.005 10.683 .002
rel3 * sal3 1 47.020 .330 .569
a. Dependent Variable: logrt: Natural Log RT in Seconds.
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 1.612585 .056947 104.450 28.317 .000 1.499663 1.725508
rel3 -.050273 .023746 47.009 -2.117 .040 -.098044 -.002503
sal3 -.137745 .042144 47.005 -3.268 .002 -.222527 -.052963
rel3 * sal3 -.011467 .019970 47.020 -.574 .569 -.051640 .028706
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 .389870 .006391 61.003 .000 .377543 .402600
Intercept [subject = SubjectID] Variance .180280 .021593 8.349 .000 .142559 .227981
Intercept [subject = ItemID] Variance .094113 .019953 4.717 .000 .062114 .142597
a. Dependent Variable: logrt: Natural Log RT in Seconds.


Custom Hypothesis Test  (Multivariate Test of 3 Item Predictor 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 -.050273 .023746 47.009 0 -2.117 .040 -.098044 -.002503
L2 -.137745 .042144 47.005 0 -3.268 .002 -.222527 -.052963
L3 -.011467 .019970 47.020 0 -.574 .569 -.051640 .028706
a. Multivariate Test of 3 Item Predictor Effects
b. Dependent Variable: logrt: Natural Log RT in Seconds.
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 3 Item Predictor Effects 3 47.010 6.480 .001
a. Dependent Variable: logrt: Natural Log RT in Seconds.


Ch 12: Remove Item Random Intercept Variance



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 10 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
rel3 1   1  
sal3 1   1  
rel3 * sal3 1   1  
Random Effects Intercept 1 Identity 1 SubjectID
Residual     1  
Total 5   6  
a. Dependent Variable: logrt: Natural Log RT in Seconds.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 16539.019
Akaike's Information Criterion (AIC) 16543.019
Hurvich and Tsai's Criterion (AICC) 16543.021
Bozdogan's Criterion (CAIC) 16558.902
Schwarz's Bayesian Criterion (BIC) 16556.902
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 1 153.122 2117.522 .000
rel3 1 7490.053 134.746 .000
sal3 1 7490.134 322.474 .000
rel3 * sal3 1 7490.164 8.221 .004
a. Dependent Variable: logrt: Natural Log RT in Seconds.
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 1.610471 .034998 153.122 46.017 .000 1.541330 1.679611
rel3 -.050226 .004327 7490.053 -11.608 .000 -.058708 -.041744
sal3 -.137793 .007673 7490.134 -17.958 .000 -.152835 -.122752
rel3 * sal3 -.010456 .003647 7490.164 -2.867 .004 -.017604 -.003308
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 .478173 .007814 61.195 .000 .463101 .493736
Intercept [subject = SubjectID] Variance .176958 .021418 8.262 .000 .139587 .224333
a. Dependent Variable: logrt: Natural Log RT in Seconds.


Eq 12.12: Add Fixed Main Effects of Subject Predictors



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 3 rows
The covariance structure for random effect with only one level will be changed to Identity.
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 13 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
rel3 1   1  
sal3 1   1  
rel3 * sal3 1   1  
older 1   1  
yrs65 1   1  
Random Effects Intercept 1 Identity 1 SubjectID
Intercept 1 Identity 1 ItemID
Residual     1  
Total 8   9  
a. Dependent Variable: logrt: Natural Log RT in Seconds.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 14919.905
Akaike's Information Criterion (AIC) 14925.905
Hurvich and Tsai's Criterion (AICC) 14925.908
Bozdogan's Criterion (CAIC) 14949.728
Schwarz's Bayesian Criterion (BIC) 14946.728
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 59.742 737.208 .000
rel3 1 47.009 4.490 .039
sal3 1 47.005 10.687 .002
rel3 * sal3 1 47.021 .331 .568
older 1 150.484 112.724 .000
yrs65 1 151.610 21.048 .000
a. Dependent Variable: logrt: Natural Log RT in Seconds.
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 1.312313 .048333 59.742 27.152 .000 1.215624 1.409002
rel3 -.050305 .023741 47.009 -2.119 .039 -.098067 -.002544
sal3 -.137745 .042136 47.005 -3.269 .002 -.222510 -.052979
rel3 * sal3 -.011492 .019966 47.021 -.576 .568 -.051657 .028674
older .589912 .055562 150.484 10.617 .000 .480129 .699694
yrs65 .020212 .004406 151.610 4.588 .000 .011508 .028916
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 .389870 .006391 61.003 .000 .377543 .402600
Intercept [subject = SubjectID] Variance .023328 .003600 6.480 .000 .017240 .031567
Intercept [subject = ItemID] Variance .094076 .019945 4.717 .000 .062089 .142541
a. Dependent Variable: logrt: Natural Log RT in Seconds.


Custom Hypothesis Test  (Multivariate Test of 2 Subject Predictor Effects)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 7 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 .589912 .055562 150.484 0 10.617 .000 .480129 .699694
L2 .020212 .004406 151.610 0 4.588 .000 .011508 .028916
a. Multivariate Test of 2 Subject Predictor Effects
b. Dependent Variable: logrt: Natural Log RT in Seconds.
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 2 Subject Predictor Effects 2 151.047 382.588 .000
a. Dependent Variable: logrt: Natural Log RT in Seconds.


Ch 12: Remove Subject Random Intercept Variance



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 12 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
rel3 1   1  
sal3 1   1  
rel3 * sal3 1   1  
older 1   1  
yrs65 1   1  
Random Effects Intercept 1 Identity 1 ItemID
Residual     1  
Total 7   8  
a. Dependent Variable: logrt: Natural Log RT in Seconds.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 15147.224
Akaike's Information Criterion (AIC) 15151.224
Hurvich and Tsai's Criterion (AICC) 15151.225
Bozdogan's Criterion (CAIC) 15167.106
Schwarz's Bayesian Criterion (BIC) 15165.106
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 48.420 824.916 .000
rel3 1 47.010 4.505 .039
sal3 1 47.005 10.656 .002
rel3 * sal3 1 47.022 .330 .568
older 1 7593.062 419.378 .000
yrs65 1 7593.105 77.357 .000
a. Dependent Variable: logrt: Natural Log RT in Seconds.
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 1.312469 .045697 48.420 28.721 .000 1.220610 1.404327
rel3 -.050311 .023704 47.010 -2.122 .039 -.097996 -.002626
sal3 -.137327 .042068 47.005 -3.264 .002 -.221958 -.052697
rel3 * sal3 -.011448 .019934 47.022 -.574 .568 -.051549 .028653
older .588157 .028720 7593.062 20.479 .000 .531857 .644457
yrs65 .020138 .002290 7593.105 8.795 .000 .015649 .024626
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 .412859 .006701 61.616 .000 .399933 .426203
Intercept [subject = ItemID] Variance .093614 .019881 4.709 .000 .061740 .141943
a. Dependent Variable: logrt: Natural Log RT in Seconds.


Eq 12.13: Add Subject Random Salience Slope Variance and Covariance



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 14 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
rel3 1   1  
sal3 1   1  
rel3 * sal3 1   1  
older 1   1  
yrs65 1   1  
Random Effects Intercept + sal3b 2 Unstructured 3 SubjectID
Interceptb 1 Identity 1 ItemID
Residual     1  
Total 9   11  
a. Dependent Variable: logrt: Natural Log RT in Seconds.
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 Restricted Log Likelihood 14911.537
Akaike's Information Criterion (AIC) 14921.537
Hurvich and Tsai's Criterion (AICC) 14921.545
Bozdogan's Criterion (CAIC) 14961.243
Schwarz's Bayesian Criterion (BIC) 14956.243
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 59.754 735.776 .000
rel3 1 47.009 4.495 .039
sal3 1 47.825 10.571 .002
rel3 * sal3 1 47.020 .332 .567
older 1 150.448 112.728 .000
yrs65 1 151.552 21.494 .000
a. Dependent Variable: logrt: Natural Log RT in Seconds.
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 1.311607 .048354 59.754 27.125 .000 1.214877 1.408338
rel3 -.050355 .023751 47.009 -2.120 .039 -.098134 -.002575
sal3 -.137657 .042338 47.825 -3.251 .002 -.222792 -.052522
rel3 * sal3 -.011507 .019973 47.020 -.576 .567 -.051688 .028674
older .589685 .055540 150.448 10.617 .000 .479946 .699424
yrs65 .020416 .004404 151.552 4.636 .000 .011716 .029116
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 9 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .386939 .006408 60.380 .000 .374580 .399705
Intercept + sal3 [subject = SubjectID] UN (1,1) .023407 .003603 6.496 .000 .017311 .031651
UN (2,1) -.000482 .001394 -.345 .730 -.003214 .002251
UN (2,2) .002411 .001026 2.350 .019 .001047 .005552
Intercept [subject = ItemID] Variance .094169 .019960 4.718 .000 .062157 .142669
a. Dependent Variable: logrt: Natural Log RT in Seconds.


Ch 12: Add Subject Random Relevance Slope Variance and Covariances



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 14 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
rel3 1   1  
sal3 1   1  
rel3 * sal3 1   1  
older 1   1  
yrs65 1   1  
Random Effects Intercept + sal3 + rel3b 3 Unstructured 6 SubjectID
Interceptb 1 Identity 1 ItemID
Residual     1  
Total 10   14  
a. Dependent Variable: logrt: Natural Log RT in Seconds.
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 Restricted Log Likelihood 14908.786
Akaike's Information Criterion (AIC) 14924.786
Hurvich and Tsai's Criterion (AICC) 14924.805
Bozdogan's Criterion (CAIC) 14988.316
Schwarz's Bayesian Criterion (BIC) 14980.316
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 59.838 736.925 .000
rel3 1 47.456 4.459 .040
sal3 1 47.789 10.593 .002
rel3 * sal3 1 47.020 .333 .567
older 1 150.438 112.377 .000
yrs65 1 151.634 20.913 .000
a. Dependent Variable: logrt: Natural Log RT in Seconds.
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 1.313224 .048376 59.838 27.146 .000 1.216453 1.409996
rel3 -.050279 .023811 47.456 -2.112 .040 -.098167 -.002390
sal3 -.137786 .042334 47.789 -3.255 .002 -.222914 -.052658
rel3 * sal3 -.011519 .019975 47.020 -.577 .567 -.051703 .028665
older .588414 .055507 150.438 10.601 .000 .478741 .698088
yrs65 .020130 .004402 151.634 4.573 .000 .011433 .028826
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 12 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .385454 .006452 59.738 .000 .373013 .398310
Intercept + sal3 + rel3 [subject = SubjectID] UN (1,1) .023703 .003672 6.454 .000 .017496 .032114
UN (2,1) -.000525 .001406 -.374 .709 -.003280 .002230
UN (2,2) .002312 .001049 2.204 .027 .000950 .005626
UN (3,1) .000459 .000812 .565 .572 -.001133 .002051
UN (3,2) 7.679135E-5 .000410 .187 .851 -.000726 .000880
UN (3,3) .000424 .000317 1.340 .180 9.828356E-5 .001831
Intercept [subject = ItemID] Variance .094193 .019963 4.718 .000 .062175 .142699
a. Dependent Variable: logrt: Natural Log RT in Seconds.


Eq 12.14: Add All Possible Fixed Effect Interactions



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 20 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
rel3 1   1  
sal3 1   1  
rel3 * sal3 1   1  
older 1   1  
yrs65 1   1  
rel3 * older 1   1  
sal3 * older 1   1  
rel3 * sal3 * older 1   1  
rel3 * yrs65 1   1  
sal3 * yrs65 1   1  
rel3 * sal3 * yrs65 1   1  
Random Effects Intercept + sal3b 2 Unstructured 3 SubjectID
Interceptb 1 Identity 1 ItemID
Residual     1  
Total 15   17  
a. Dependent Variable: logrt: Natural Log RT in Seconds.
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 Restricted Log Likelihood 14924.323
Akaike's Information Criterion (AIC) 14934.323
Hurvich and Tsai's Criterion (AICC) 14934.330
Bozdogan's Criterion (CAIC) 14974.024
Schwarz's Bayesian Criterion (BIC) 14969.024
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 15 rows
Source Numerator df Denominator df F Sig.
Intercept 1 59.866 725.360 .000
rel3 1 48.439 7.140 .010
sal3 1 49.540 11.119 .002
rel3 * sal3 1 48.440 .018 .893
older 1 157.527 116.549 .000
yrs65 1 158.826 21.854 .000
rel3 * older 1 7300.785 .875 .350
sal3 * older 1 184.235 .237 .627
rel3 * sal3 * older 1 7309.419 3.864 .049
rel3 * yrs65 1 7308.775 3.336 .068
sal3 * yrs65 1 187.660 1.120 .291
rel3 * sal3 * yrs65 1 7314.165 .002 .967
a. Dependent Variable: logrt: Natural Log RT in Seconds.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 16 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 1.303806 .048410 59.866 26.933 .000 1.206967 1.400645
rel3 -.063984 .023946 48.439 -2.672 .010 -.112120 -.015849
sal3 -.142547 .042748 49.540 -3.335 .002 -.228429 -.056665
rel3 * sal3 -.002729 .020137 48.440 -.136 .893 -.043207 .037749
older .606704 .056198 157.527 10.796 .000 .495705 .717703
yrs65 .020835 .004457 158.826 4.675 .000 .012033 .029637
rel3 * older .014244 .015227 7300.785 .935 .350 -.015606 .044094
sal3 * older -.014872 .030566 184.235 -.487 .627 -.075177 .045433
rel3 * sal3 * older -.025305 .012874 7309.419 -1.966 .049 -.050541 -6.872360E-5
rel3 * yrs65 .002225 .001218 7308.775 1.827 .068 -.000163 .004612
sal3 * yrs65 .002572 .002430 187.660 1.058 .291 -.002222 .007366
rel3 * sal3 * yrs65 4.192293E-5 .001027 7314.165 .041 .967 -.001972 .002056
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 9 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .385316 .006383 60.362 .000 .373006 .398033
Intercept + sal3 [subject = SubjectID] UN (1,1) .023408 .003599 6.503 .000 .017317 .031642
UN (2,1) -.000405 .001335 -.304 .761 -.003023 .002212
UN (2,2) .002049 .000988 2.074 .038 .000797 .005272
Intercept [subject = ItemID] Variance .094316 .019988 4.719 .000 .062257 .142883
a. Dependent Variable: logrt: Natural Log RT in Seconds.


Eq 12.15: Keep Significant Fixed Effect Interactions



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 17 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
rel3 1   1  
sal3 1   1  
rel3 * sal3 1   1  
older 1   1  
yrs65 1   1  
rel3 * older 1   1  
sal3 * older 1   1  
rel3 * sal3 * older 1   1  
Random Effects Intercept + sal3b 2 Unstructured 3 SubjectID
Interceptb 1 Identity 1 ItemID
Residual     1  
Total 12   14  
a. Dependent Variable: logrt: Natural Log RT in Seconds.
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 Restricted Log Likelihood 14896.090
Akaike's Information Criterion (AIC) 14906.090
Hurvich and Tsai's Criterion (AICC) 14906.098
Bozdogan's Criterion (CAIC) 14945.794
Schwarz's Bayesian Criterion (BIC) 14940.794
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 59.864 725.268 .000
rel3 1 48.439 7.139 .010
sal3 1 49.585 11.113 .002
rel3 * sal3 1 48.440 .018 .893
older 1 152.485 120.678 .000
yrs65 1 151.554 21.383 .000
rel3 * older 1 7304.735 21.906 .000
sal3 * older 1 184.383 .614 .434
rel3 * sal3 * older 1 7313.990 13.198 .000
a. Dependent Variable: logrt: Natural Log RT in Seconds.
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 1.303806 .048413 59.864 26.931 .000 1.206961 1.400652
rel3 -.063984 .023948 48.439 -2.672 .010 -.112123 -.015845
sal3 -.142548 .042761 49.585 -3.334 .002 -.228454 -.056643
rel3 * sal3 -.002730 .020138 48.440 -.136 .893 -.043210 .037751
older .611998 .055710 152.485 10.985 .000 .501934 .722062
yrs65 .020357 .004402 151.554 4.624 .000 .011659 .029054
rel3 * older .037858 .008089 7304.735 4.680 .000 .022002 .053714
sal3 * older .012761 .016292 184.383 .783 .434 -.019381 .044903
rel3 * sal3 * older -.024808 .006829 7313.990 -3.633 .000 -.038194 -.011422
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 9 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Residual .385376 .006383 60.372 .000 .373066 .398092
Intercept + sal3 [subject = SubjectID] UN (1,1) .023409 .003600 6.503 .000 .017318 .031643
UN (2,1) -.000410 .001347 -.304 .761 -.003050 .002230
UN (2,2) .002129 .000993 2.145 .032 .000854 .005311
Intercept [subject = ItemID] Variance .094329 .019991 4.719 .000 .062266 .142902
a. Dependent Variable: logrt: Natural Log RT in Seconds.


Ch 12: Remove Subject Random Slope Variance and Covariance



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 3 rows
The covariance structure for random effect with only one level will be changed to Identity.
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 16 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables
Fixed Effects Intercept 1   1  
rel3 1   1  
sal3 1   1  
rel3 * sal3 1   1  
older 1   1  
yrs65 1   1  
rel3 * older 1   1  
sal3 * older 1   1  
rel3 * sal3 * older 1   1  
Random Effects Intercept 1 Identity 1 SubjectID
Intercept 1 Identity 1 ItemID
Residual     1  
Total 11   12  
a. Dependent Variable: logrt: Natural Log RT in Seconds.
Information CriteriaaInformation Criteria, table, 0 levels of column headers and 1 levels of row headers, table with 2 columns and 8 rows
-2 Restricted Log Likelihood 14902.783
Akaike's Information Criterion (AIC) 14908.783
Hurvich and Tsai's Criterion (AICC) 14908.787
Bozdogan's Criterion (CAIC) 14932.606
Schwarz's Bayesian Criterion (BIC) 14929.606
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 59.844 725.849 .000
rel3 1 48.451 7.144 .010
sal3 1 48.442 11.249 .002
rel3 * sal3 1 48.451 .018 .893
older 1 152.455 121.403 .000
yrs65 1 151.606 20.986 .000
rel3 * older 1 7442.188 21.884 .000
sal3 * older 1 7442.719 .781 .377
rel3 * sal3 * older 1 7443.043 13.106 .000
a. Dependent Variable: logrt: Natural Log RT in Seconds.
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 1.303796 .048393 59.844 26.942 .000 1.206990 1.400603
rel3 -.063992 .023941 48.451 -2.673 .010 -.112118 -.015866
sal3 -.142505 .042489 48.442 -3.354 .002 -.227916 -.057095
rel3 * sal3 -.002725 .020133 48.451 -.135 .893 -.043194 .037745
older .613853 .055712 152.455 11.018 .000 .503786 .723921
yrs65 .020171 .004403 151.606 4.581 .000 .011472 .028870
rel3 * older .037959 .008114 7442.188 4.678 .000 .022052 .053865
sal3 * older .012715 .014393 7442.719 .883 .377 -.015498 .040929
rel3 * sal3 * older -.024798 .006850 7443.043 -3.620 .000 -.038225 -.011370
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 .387952 .006361 60.990 .000 .375683 .400621
Intercept [subject = SubjectID] Variance .023331 .003596 6.488 .000 .017249 .031559
Intercept [subject = ItemID] Variance .094250 .019978 4.718 .000 .062209 .142794
a. Dependent Variable: logrt: Natural Log RT in Seconds.


Ch 12: Add Separate Residual Variances by Age Group



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 7 columns and 17 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
rel3 1   1    
sal3 1   1    
rel3 * sal3 1   1    
older 1   1    
yrs65 1   1    
rel3 * older 1   1    
sal3 * older 1   1    
rel3 * sal3 * older 1   1    
Random Effects Intercept + sal3b 2 Unstructured 3 SubjectID  
Interceptb 1 Identity 1 ItemID  
Repeated Effects agegroup 2 Diagonal 2 SubjectID * ItemID 7646
Total 14   15    
a. Dependent Variable: logrt: Natural Log RT in Seconds.
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 Restricted Log Likelihood 14726.276
Akaike's Information Criterion (AIC) 14738.276
Hurvich and Tsai's Criterion (AICC) 14738.287
Bozdogan's Criterion (CAIC) 14785.920
Schwarz's Bayesian Criterion (BIC) 14779.920
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 58.146 728.788 .000
rel3 1 47.867 7.116 .010
sal3 1 48.890 11.074 .002
rel3 * sal3 1 47.868 .018 .893
older 1 165.027 120.148 .000
yrs65 1 167.935 21.201 .000
rel3 * older 1 4509.961 19.393 .000
sal3 * older 1 237.709 .576 .449
rel3 * sal3 * older 1 4492.631 11.715 .001
a. Dependent Variable: logrt: Natural Log RT in Seconds.
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 1.303828 .048297 58.146 26.996 .000 1.207157 1.400500
rel3 -.064016 .023998 47.867 -2.668 .010 -.112270 -.015762
sal3 -.142510 .042825 48.890 -3.328 .002 -.228575 -.056445
rel3 * sal3 -.002717 .020180 47.868 -.135 .893 -.043295 .037860
older .611111 .055752 165.027 10.961 .000 .501031 .721190
yrs65 .020405 .004432 167.935 4.605 .000 .011656 .029154
rel3 * older .037898 .008606 4509.961 4.404 .000 .021026 .054769
sal3 * older .012859 .016941 237.709 .759 .449 -.020515 .046233
rel3 * sal3 * older -.024881 .007269 4492.631 -3.423 .001 -.039132 -.010629
a. Dependent Variable: logrt: Natural Log RT in Seconds.


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 10 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Repeated Measures Var: [agegroup=.00] .320216 .006682 47.924 .000 .307384 .333584
Var: [agegroup=1.00] .501989 .013950 35.984 .000 .475378 .530090
Intercept + sal3 [subject = SubjectID] UN (1,1) .021485 .003475 6.183 .000 .015649 .029499
UN (2,1) -.000715 .001320 -.542 .588 -.003302 .001871
UN (2,2) .001929 .000939 2.055 .040 .000743 .005007
Intercept [subject = ItemID] Variance .095425 .020194 4.725 .000 .063027 .144477
a. Dependent Variable: logrt: Natural Log RT in Seconds.