Chapter 5 Example: Means by Wave for outcome



Summarize


Case Processing SummaryCase Processing Summary, table, 3 levels of column headers and 1 levels of row headers, table with 7 columns and 5 rows
  Cases
Included Excluded Total
N Percent N Percent N Percent
outcome: Test Score Outcome * wave: Occasion (1-4) 100 100.0% 0 0.0% 100 100.0%
ReportReport, table, outcome: Test Score Outcome, 1 layers, 1 levels of column headers and 1 levels of row headers, table with 6 columns and 8 rows
outcome: Test Score Outcome
wave: Occasion (1-4) N Mean Std. Deviation Minimum Maximum
1 25 10.40 1.537 7 14
2 25 11.86 2.211 8 15
3 25 13.58 2.493 9 18
4 25 15.55 3.427 9 22
Total 100 12.85 3.138 7 22


Ch 5: Empty Means, Random Intercept Model



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 7 columns and 7 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
Random Effects Intercept 1 Identity 1 PersonID  
Repeated Effects wave 4 Identity 1 PersonID 25
Total 6   3    
a. Dependent Variable: outcome: Test Score Outcome.
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 502.224
Akaike's Information Criterion (AIC) 506.224
Hurvich and Tsai's Criterion (AICC) 506.349
Bozdogan's Criterion (CAIC) 513.414
Schwarz's Bayesian Criterion (BIC) 511.414
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: outcome: Test Score Outcome.


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 24 888.516 .000
a. Dependent Variable: outcome: Test Score Outcome.
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 12.849600 .431079 24 29.808 .000 11.959896 13.739304
a. Dependent Variable: outcome: Test Score Outcome.


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
Repeated Measures Variance 7.055445 1.152149 6.124 .000 5.122993 9.716840
Intercept [subject = PersonID] Variance 2.881870 1.371690 2.101 .036 1.133773 7.325254
a. Dependent Variable: outcome: Test Score Outcome.
Random Effect Covariance Structure (G)aRandom Effect Covariance Structure (G), table, 1 levels of column headers and 1 levels of row headers, table with 2 columns and 5 rows
  Intercept | PersonID
Intercept | PersonID 2.881870
Identity
a. Dependent Variable: outcome: Test Score Outcome.
Residual Covariance (R) MatrixaResidual Covariance (R) Matrix, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 8 rows
  [wave = 1] [wave = 2] [wave = 3] [wave = 4]
[wave = 1] 7.055445 0 0 0
[wave = 2] 0 7.055445 0 0
[wave = 3] 0 0 7.055445 0
[wave = 4] 0 0 0 7.055445
Identity
a. Dependent Variable: outcome: Test Score Outcome.


Ch 5: Fixed Linear Time, Random Intercept Model



Mixed Model Analysis


WarningsWarnings, table, 0 levels of column headers and 0 levels of row headers, table with 1 columns and 2 rows
The covariance structure for random effect with only one level will be changed to Identity.
Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 7 columns and 8 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
time 1   1    
Random Effects Intercept 1 Identity 1 PersonID  
Repeated Effects wave 4 Identity 1 PersonID 25
Total 7   4    
a. Dependent Variable: outcome: Test Score Outcome.
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 415.095
Akaike's Information Criterion (AIC) 419.095
Hurvich and Tsai's Criterion (AICC) 419.222
Bozdogan's Criterion (CAIC) 426.265
Schwarz's Bayesian Criterion (BIC) 424.265
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: outcome: Test Score Outcome.


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 34.666 469.317 .000
time 1 74.000 169.567 .000
a. Dependent Variable: outcome: Test Score Outcome.
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 10.274520 .474273 34.666 21.664 .000 9.311363 11.237677
time 1.716720 .131834 74.000 13.022 .000 1.454035 1.979405
a. Dependent Variable: outcome: Test Score Outcome.


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
Repeated Measures Variance 2.172533 .357162 6.083 .000 1.574091 2.998493
Intercept [subject = PersonID] Variance 4.102598 1.344076 3.052 .002 2.158698 7.796974
a. Dependent Variable: outcome: Test Score Outcome.
Random Effect Covariance Structure (G)aRandom Effect Covariance Structure (G), table, 1 levels of column headers and 1 levels of row headers, table with 2 columns and 5 rows
  Intercept | PersonID
Intercept | PersonID 4.102598
Identity
a. Dependent Variable: outcome: Test Score Outcome.
Residual Covariance (R) MatrixaResidual Covariance (R) Matrix, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 8 rows
  [wave = 1] [wave = 2] [wave = 3] [wave = 4]
[wave = 1] 2.172533 0 0 0
[wave = 2] 0 2.172533 0 0
[wave = 3] 0 0 2.172533 0
[wave = 4] 0 0 0 2.172533
Identity
a. Dependent Variable: outcome: Test Score Outcome.


Custom Hypothesis Test 1 (Intercept at Time=0)


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 10.274520 .474273 34.666 0 21.664 .000 9.311363 11.237677
a. Intercept at Time=0
b. Dependent Variable: outcome: Test Score Outcome.


Custom Hypothesis Test 2 (Intercept at Time=1)


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 11.991240 .436090 25.131 0 27.497 .000 11.093334 12.889146
a. Intercept at Time=1
b. Dependent Variable: outcome: Test Score Outcome.


Custom Hypothesis Test 3 (Intercept at Time=2)


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 13.707960 .436090 25.131 0 31.434 .000 12.810054 14.605866
a. Intercept at Time=2
b. Dependent Variable: outcome: Test Score Outcome.


Custom Hypothesis Test 4 (Intercept at Time=3)


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 15.424680 .474273 34.666 0 32.523 .000 14.461523 16.387837
a. Intercept at Time=3
b. Dependent Variable: outcome: Test Score Outcome.


Ch 5: Random Linear Time Model



Mixed Model Analysis


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 7 columns and 9 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
time 1   1    
Random Effects Intercept + timeb 2 Unstructured 3 PersonID  
Repeated Effects wave 4 Identity 1 PersonID 25
Total 8   6    
a. Dependent Variable: outcome: Test Score Outcome.
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 366.742
Akaike's Information Criterion (AIC) 374.742
Hurvich and Tsai's Criterion (AICC) 375.172
Bozdogan's Criterion (CAIC) 389.081
Schwarz's Bayesian Criterion (BIC) 385.081
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: outcome: Test Score Outcome.


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 24 959.176 .000
time 1 24 70.261 .000
a. Dependent Variable: outcome: Test Score Outcome.
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 10.274520 .331751 24 30.971 .000 9.589820 10.959220
time 1.716720 .204806 24 8.382 .000 1.294022 2.139418
a. Dependent Variable: outcome: Test Score Outcome.


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
Repeated Measures Variance .698631 .139726 5.000 .000 .472071 1.033923
Intercept + time [subject = PersonID] UN (1,1) 2.262427 .800280 2.827 .005 1.131051 4.525505
UN (2,1) .054536 .350683 .156 .876 -.632791 .741863
UN (2,2) .908906 .304001 2.990 .003 .471866 1.750733
a. Dependent Variable: outcome: Test Score Outcome.
Random Effect Covariance Structure (G)aRandom Effect Covariance Structure (G), table, 1 levels of column headers and 1 levels of row headers, table with 3 columns and 6 rows
  Intercept | PersonID time | PersonID
Intercept | PersonID 2.262427 .054536
time | PersonID .054536 .908906
Unstructured
a. Dependent Variable: outcome: Test Score Outcome.
Residual Covariance (R) MatrixaResidual Covariance (R) Matrix, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 8 rows
  [wave = 1] [wave = 2] [wave = 3] [wave = 4]
[wave = 1] .698631 0 0 0
[wave = 2] 0 .698631 0 0
[wave = 3] 0 0 .698631 0
[wave = 4] 0 0 0 .698631
Identity
a. Dependent Variable: outcome: Test Score Outcome.


Custom Hypothesis Test 1 (Intercept at Time=0)


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 10.274520 .331751 24 0 30.971 .000 9.589820 10.959220
a. Intercept at Time=0
b. Dependent Variable: outcome: Test Score Outcome.


Custom Hypothesis Test 2 (Intercept at Time=1)


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 11.991240 .373631 24 0 32.094 .000 11.220105 12.762375
a. Intercept at Time=1
b. Dependent Variable: outcome: Test Score Outcome.


Custom Hypothesis Test 3 (Intercept at Time=2)


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 13.707960 .503022 24 0 27.251 .000 12.669773 14.746147
a. Intercept at Time=2
b. Dependent Variable: outcome: Test Score Outcome.


Custom Hypothesis Test 4 (Intercept at Time=3)


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 15.424680 .671084 24 0 22.985 .000 14.039631 16.809729
a. Intercept at Time=3
b. Dependent Variable: outcome: Test Score Outcome.


Ch 5: Saturated Means, Unstructured Variance Model; ANSWER KEY for both sides of the model



Mixed Model Analysis


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 7 columns and 7 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
wave 4   3    
Repeated Effects wave 4 Unstructured 10 PersonID 25
Total 9   14    
a. Dependent Variable: outcome: Test Score Outcome.
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 353.753
Akaike's Information Criterion (AIC) 373.753
Hurvich and Tsai's Criterion (AICC) 376.342
Bozdogan's Criterion (CAIC) 409.397
Schwarz's Bayesian Criterion (BIC) 399.397
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: outcome: Test Score Outcome.


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 24.000 888.516 .000
wave 3 24.000 23.861 .000
a. Dependent Variable: outcome: Test Score Outcome.
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 15.551600 .685381 24.000 22.690 .000 14.137043 16.966157
[wave=1] -5.146800 .608759 24.000 -8.455 .000 -6.403217 -3.890383
[wave=2] -3.694000 .470257 24.000 -7.855 .000 -4.664562 -2.723438
[wave=3] -1.967200 .307376 24.000 -6.400 .000 -2.601593 -1.332807
[wave=4] 0b 0 . . . . .
a. Dependent Variable: outcome: Test Score Outcome.
b. This parameter is set to zero because it is redundant.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 14 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Repeated Measures UN (1,1) 2.361801 .681793 3.464 .001 1.341290 4.158762
UN (2,1) 2.786666 .897093 3.106 .002 1.028396 4.544936
UN (2,2) 4.889961 1.411610 3.464 .001 2.777056 8.610455
UN (3,1) 1.956561 .878252 2.228 .026 .235219 3.677904
UN (3,2) 4.043961 1.395757 2.897 .004 1.308327 6.779595
UN (3,3) 6.217167 1.794742 3.464 .001 3.530790 10.947458
UN (4,1) 2.420392 1.183119 2.046 .041 .101521 4.739263
UN (4,2) 5.552550 1.917647 2.896 .004 1.794030 9.311069
UN (4,3) 7.799418 2.361526 3.303 .001 3.170912 12.427923
UN (4,4) 11.743672 3.390106 3.464 .001 6.669345 20.678767
a. Dependent Variable: outcome: Test Score Outcome.
Residual Covariance (R) MatrixaResidual Covariance (R) Matrix, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 8 rows
  [wave = 1] [wave = 2] [wave = 3] [wave = 4]
[wave = 1] 2.361801 2.786666 1.956561 2.420392
[wave = 2] 2.786666 4.889961 4.043961 5.552550
[wave = 3] 1.956561 4.043961 6.217167 7.799418
[wave = 4] 2.420392 5.552550 7.799418 11.743672
Unstructured
a. Dependent Variable: outcome: Test Score Outcome.


Estimated Marginal Means



wave: Occasion (1-4)


EstimatesaEstimates, table, 2 levels of column headers and 1 levels of row headers, table with 6 columns and 8 rows
wave: Occasion (1-4) Mean Std. Error df 95% Confidence Interval
Lower Bound Upper Bound
1 10.405 .307 24.000 9.770 11.039
2 11.858 .442 24.000 10.945 12.770
3 13.584 .499 24.000 12.555 14.614
4 15.552 .685 24.000 14.137 16.966
a. Dependent Variable: outcome: Test Score Outcome.
Pairwise ComparisonsaPairwise Comparisons, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 19 rows
(I) wave: Occasion (1-4) (J) wave: Occasion (1-4) Mean Difference (I-J) Std. Error df Sig.c 95% Confidence Interval for Differencec
Lower Bound Upper Bound
1 2 -1.453* .259 24.000 .000 -1.988 -.918
3 -3.180* .432 24.000 .000 -4.071 -2.288
4 -5.147* .609 24.000 .000 -6.403 -3.890
2 1 1.453* .259 24.000 .000 .918 1.988
3 -1.727* .348 24.000 .000 -2.444 -1.010
4 -3.694* .470 24.000 .000 -4.665 -2.723
3 1 3.180* .432 24.000 .000 2.288 4.071
2 1.727* .348 24.000 .000 1.010 2.444
4 -1.967* .307 24.000 .000 -2.602 -1.333
4 1 5.147* .609 24.000 .000 3.890 6.403
2 3.694* .470 24.000 .000 2.723 4.665
3 1.967* .307 24.000 .000 1.333 2.602
Based on estimated marginal means
*. The mean difference is significant at the .05 level.
a. Dependent Variable: outcome: Test Score Outcome.
c. Adjustment for multiple comparisons: Least Significant Difference (equivalent to no adjustments).
Univariate TestsaUnivariate Tests, table, 1 levels of column headers and 0 levels of row headers, table with 4 columns and 5 rows
Numerator df Denominator df F Sig.
3 24.000 23.861 .000
The F tests the effect of wave: Occasion (1-4). This test is based on the linearly independent pairwise comparisons among the estimated marginal means.
a. Dependent Variable: outcome: Test Score Outcome.


Ch 5: Random Linear Time Model with AR1 R Matrix



Mixed Model Analysis


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 7 columns and 9 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
time 1   1    
Random Effects Intercept + timeb 2 Unstructured 3 PersonID  
Repeated Effects wave 4 First-Order Autoregressive 2 PersonID 25
Total 8   7    
a. Dependent Variable: outcome: Test Score Outcome.
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 366.739
Akaike's Information Criterion (AIC) 376.739
Hurvich and Tsai's Criterion (AICC) 377.392
Bozdogan's Criterion (CAIC) 394.664
Schwarz's Bayesian Criterion (BIC) 389.664
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: outcome: Test Score Outcome.


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 20.246 964.897 .000
time 1 23.735 70.356 .000
a. Dependent Variable: outcome: Test Score Outcome.
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 10.276252 .330822 20.246 31.063 .000 9.586707 10.965797
time 1.716677 .204662 23.735 8.388 .000 1.294026 2.139328
a. Dependent Variable: outcome: Test Score Outcome.


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
Repeated Measures AR1 diagonal .719326 .496899 1.448 .148 .185750 2.785625
AR1 rho .025608 .568818 .045 .964 -.796871 .814820
Intercept + time [subject = PersonID] UN (1,1) 2.221591 1.218104 1.824 .068 .758487 6.506990
UN (2,1) .069492 .484167 .144 .886 -.879457 1.018442
UN (2,2) .901534 .345870 2.607 .009 .425032 1.912241
a. Dependent Variable: outcome: Test Score Outcome.
Random Effect Covariance Structure (G)aRandom Effect Covariance Structure (G), table, 1 levels of column headers and 1 levels of row headers, table with 3 columns and 6 rows
  Intercept | PersonID time | PersonID
Intercept | PersonID 2.221591 .069492
time | PersonID .069492 .901534
Unstructured
a. Dependent Variable: outcome: Test Score Outcome.
Residual Covariance (R) MatrixaResidual Covariance (R) Matrix, table, 1 levels of column headers and 1 levels of row headers, table with 5 columns and 8 rows
  [wave = 1] [wave = 2] [wave = 3] [wave = 4]
[wave = 1] .719326 .018420 .000472 1.207935E-5
[wave = 2] .018420 .719326 .018420 .000472
[wave = 3] .000472 .018420 .719326 .018420
[wave = 4] 1.207935E-5 .000472 .018420 .719326
First-Order Autoregressive
a. Dependent Variable: outcome: Test Score Outcome.