Chapter 6 Example: Means by session for RT 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
rt: Response Time in Milliseconds * session: Occasion (1-6) 606 100.0% 0 0.0% 606 100.0%
ReportReport, table, rt: Response Time in Milliseconds, 1 layers, 1 levels of column headers and 1 levels of row headers, table with 6 columns and 10 rows
rt: Response Time in Milliseconds
session: Occasion (1-6) N Mean Std. Error of Mean Minimum Maximum
1 101 1961.89 54.680 1055 4159
2 101 1815.17 50.654 991 3954
3 101 1750.03 48.068 993 4086
4 101 1717.80 46.410 930 3612
5 101 1707.18 45.825 983 3291
6 101 1672.14 44.134 918 3226
Total 606 1770.70 20.071 918 4159


Ch 6: 0: Saturated Means, Unstructured Variance Model; TOTAL ANSWER KEY



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    
session 6   5    
Repeated Effects session 6 Unstructured 21 PersonID 101
Total 13   27    
a. Dependent Variable: rt: Response Time in Milliseconds.
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 8229.788
Akaike's Information Criterion (AIC) 8271.788
Hurvich and Tsai's Criterion (AICC) 8273.387
Bozdogan's Criterion (CAIC) 8385.124
Schwarz's Bayesian Criterion (BIC) 8364.124
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: rt: Response Time in Milliseconds.


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 1 100.000 1519.795 .000
session 5 100.000 16.720 .000
a. Dependent Variable: rt: Response Time in Milliseconds.
Estimates of Fixed EffectsaEstimates of Fixed Effects, table, 2 levels of column headers and 1 levels of row headers, table with 8 columns and 12 rows
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 1672.136012 44.134490 100.000 37.887 .000 1584.574442 1759.697583
[session=1] 289.757355 32.699996 100.000 8.861 .000 224.881495 354.633215
[session=2] 143.036372 26.203076 100.000 5.459 .000 91.050215 195.022529
[session=3] 77.898636 22.884193 100.000 3.404 .001 32.497050 123.300223
[session=4] 45.660447 20.785316 100.000 2.197 .030 4.422972 86.897923
[session=5] 35.039719 18.116801 100.000 1.934 .056 -.903498 70.982936
[session=6] 0b 0 . . . . .
a. Dependent Variable: rt: Response Time in Milliseconds.
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 25 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Repeated Measures UN (1,1) 301985.340995 42707.176487 7.071 .000 228879.968605 398440.923998
UN (2,1) 235658.842109 36577.945652 6.443 .000 163967.386003 307350.298214
UN (2,2) 259150.065653 36649.353754 7.071 .000 196414.364669 341923.853896
UN (3,1) 217994.111267 34350.421952 6.346 .000 150668.521387 285319.701146
UN (3,2) 230216.774233 33686.361737 6.834 .000 164192.718457 296240.830008
UN (3,3) 233368.004051 33003.219635 7.071 .000 176873.689513 307906.876736
UN (4,1) 202606.869554 32671.782393 6.201 .000 138571.352752 266642.386355
UN (4,2) 213231.676046 31913.037848 6.682 .000 150683.271226 275780.080865
UN (4,3) 205208.972033 30475.965818 6.733 .000 145477.176635 264940.767431
UN (4,4) 217543.648538 30765.317817 7.071 .000 164880.133862 287028.145299
UN (5,1) 192153.799582 31776.318520 6.047 .000 129873.359721 254434.239443
UN (5,2) 202091.999879 30952.589144 6.529 .000 141426.039928 262757.959830
UN (5,3) 196918.658683 29710.898067 6.628 .000 138686.368524 255150.948842
UN (5,4) 193675.585675 28922.433037 6.696 .000 136988.658577 250362.512772
UN (5,5) 212097.577205 29995.127023 7.071 .000 160752.461202 279842.572361
UN (6,1) 195360.125463 31237.175376 6.254 .000 134136.386748 256583.864179
UN (6,2) 193268.257923 29721.378479 6.503 .000 135015.426533 251521.089313
UN (6,3) 188604.430763 28545.202557 6.607 .000 132656.861820 244551.999707
UN (6,4) 185320.926712 27774.430296 6.672 .000 130884.043640 239757.809783
UN (6,5) 187840.341320 27750.787897 6.769 .000 133449.796499 242230.886141
UN (6,6) 196733.171652 27822.271952 7.071 .000 149107.509666 259570.701134
a. Dependent Variable: rt: Response Time in Milliseconds.
Residual Covariance (R) MatrixaResidual Covariance (R) Matrix, table, 1 levels of column headers and 1 levels of row headers, table with 7 columns and 10 rows
  [session = 1] [session = 2] [session = 3] [session = 4] [session = 5] [session = 6]
[session = 1] 301985.340995 235658.842109 217994.111267 202606.869554 192153.799582 195360.125463
[session = 2] 235658.842109 259150.065653 230216.774233 213231.676046 202091.999879 193268.257923
[session = 3] 217994.111267 230216.774233 233368.004051 205208.972033 196918.658683 188604.430763
[session = 4] 202606.869554 213231.676046 205208.972033 217543.648538 193675.585675 185320.926712
[session = 5] 192153.799582 202091.999879 196918.658683 193675.585675 212097.577205 187840.341320
[session = 6] 195360.125463 193268.257923 188604.430763 185320.926712 187840.341320 196733.171652
Unstructured
a. Dependent Variable: rt: Response Time in Milliseconds.


Estimated Marginal Means



session: Occasion (1-6)


EstimatesaEstimates, table, 2 levels of column headers and 1 levels of row headers, table with 6 columns and 10 rows
session: Occasion (1-6) Mean Std. Error df 95% Confidence Interval
Lower Bound Upper Bound
1 1961.893 54.680 100.000 1853.409 2070.378
2 1815.172 50.654 100.000 1714.676 1915.669
3 1750.035 48.068 100.000 1654.668 1845.401
4 1717.796 46.410 100.000 1625.720 1809.873
5 1707.176 45.825 100.000 1616.259 1798.092
6 1672.136 44.134 100.000 1584.574 1759.698
a. Dependent Variable: rt: Response Time in Milliseconds.
Pairwise ComparisonsaPairwise Comparisons, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 37 rows
(I) session: Occasion (1-6) (J) session: Occasion (1-6) Mean Difference (I-J) Std. Error df Sig.c 95% Confidence Interval for Differencec
Lower Bound Upper Bound
1 2 146.721* 29.821 100.000 .000 87.557 205.885
3 211.859* 31.366 100.000 .000 149.630 274.088
4 244.097* 33.643 100.000 .000 177.351 310.843
5 254.718* 35.846 100.000 .000 183.601 325.834
6 289.757* 32.700 100.000 .000 224.881 354.633
2 1 -146.721* 29.821 100.000 .000 -205.885 -87.557
3 65.138* 17.823 100.000 .000 29.777 100.499
4 97.376* 22.301 100.000 .000 53.132 141.620
5 107.997* 25.768 100.000 .000 56.873 159.120
6 143.036* 26.203 100.000 .000 91.050 195.023
3 1 -211.859* 31.366 100.000 .000 -274.088 -149.630
2 -65.138* 17.823 100.000 .000 -100.499 -29.777
4 32.238 20.023 100.000 .111 -7.487 71.964
5 42.859 22.609 100.000 .061 -1.997 87.715
6 77.899* 22.884 100.000 .001 32.497 123.300
4 1 -244.097* 33.643 100.000 .000 -310.843 -177.351
2 -97.376* 22.301 100.000 .000 -141.620 -53.132
3 -32.238 20.023 100.000 .111 -71.964 7.487
5 10.621 20.462 100.000 .605 -29.976 51.218
6 45.660* 20.785 100.000 .030 4.423 86.898
5 1 -254.718* 35.846 100.000 .000 -325.834 -183.601
2 -107.997* 25.768 100.000 .000 -159.120 -56.873
3 -42.859 22.609 100.000 .061 -87.715 1.997
4 -10.621 20.462 100.000 .605 -51.218 29.976
6 35.040 18.117 100.000 .056 -.903 70.983
6 1 -289.757* 32.700 100.000 .000 -354.633 -224.881
2 -143.036* 26.203 100.000 .000 -195.023 -91.050
3 -77.899* 22.884 100.000 .001 -123.300 -32.497
4 -45.660* 20.785 100.000 .030 -86.898 -4.423
5 -35.040 18.117 100.000 .056 -70.983 .903
Based on estimated marginal means
*. The mean difference is significant at the .05 level.
a. Dependent Variable: rt: Response Time in Milliseconds.
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.
5 100.000 16.720 .000
The F tests the effect of session: Occasion (1-6). This test is based on the linearly independent pairwise comparisons among the estimated marginal means.
a. Dependent Variable: rt: Response Time in Milliseconds.


Ch 6: 1a: Empty Means, E-Only Variance Model



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 7 columns and 6 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
Repeated Effects session 6 Identity 1 PersonID 101
Total 7   2    
a. Dependent Variable: rt: Response Time in Milliseconds.
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 9228.605
Akaike's Information Criterion (AIC) 9230.605
Hurvich and Tsai's Criterion (AICC) 9230.612
Bozdogan's Criterion (CAIC) 9236.010
Schwarz's Bayesian Criterion (BIC) 9235.010
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: rt: Response Time in Milliseconds.


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 1 605 7783.149 .000
a. Dependent Variable: rt: Response Time in Milliseconds.
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 1770.701434 20.070938 605 88.222 .000 1731.284263 1810.118605
a. Dependent Variable: rt: Response Time in Milliseconds.


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 5 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Repeated Measures Variance 244122.582773 14036.061634 17.393 .000 218105.847006 273242.722457
a. Dependent Variable: rt: Response Time in Milliseconds.
Residual Covariance (R) MatrixaResidual Covariance (R) Matrix, table, 1 levels of column headers and 1 levels of row headers, table with 7 columns and 10 rows
  [session = 1] [session = 2] [session = 3] [session = 4] [session = 5] [session = 6]
[session = 1] 244122.582773 0 0 0 0 0
[session = 2] 0 244122.582773 0 0 0 0
[session = 3] 0 0 244122.582773 0 0 0
[session = 4] 0 0 0 244122.582773 0 0
[session = 5] 0 0 0 0 244122.582773 0
[session = 6] 0 0 0 0 0 244122.582773
Identity
a. Dependent Variable: rt: Response Time in Milliseconds.


Ch 6: 1b: 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 session 6 Identity 1 PersonID 101
Total 8   3    
a. Dependent Variable: rt: Response Time in Milliseconds.
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 8536.861
Akaike's Information Criterion (AIC) 8540.861
Hurvich and Tsai's Criterion (AICC) 8540.881
Bozdogan's Criterion (CAIC) 8551.671
Schwarz's Bayesian Criterion (BIC) 8549.671
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: rt: Response Time in Milliseconds.


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 1 100 1519.795 .000
a. Dependent Variable: rt: Response Time in Milliseconds.
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 1770.701434 45.420601 100 38.985 .000 1680.588256 1860.814612
a. Dependent Variable: rt: Response Time in Milliseconds.


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 44899.973732 2825.630669 15.890 .000 39689.766681 50794.141911
Intercept [subject = PersonID] Variance 200882.797449 29471.183140 6.816 .000 150683.041008 267806.503248
a. Dependent Variable: rt: Response Time in Milliseconds.
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 200882.797449
Identity
a. Dependent Variable: rt: Response Time in Milliseconds.
Residual Covariance (R) MatrixaResidual Covariance (R) Matrix, table, 1 levels of column headers and 1 levels of row headers, table with 7 columns and 10 rows
  [session = 1] [session = 2] [session = 3] [session = 4] [session = 5] [session = 6]
[session = 1] 44899.973732 0 0 0 0 0
[session = 2] 0 44899.973732 0 0 0 0
[session = 3] 0 0 44899.973732 0 0 0
[session = 4] 0 0 0 44899.973732 0 0
[session = 5] 0 0 0 0 44899.973732 0
[session = 6] 0 0 0 0 0 44899.973732
Identity
a. Dependent Variable: rt: Response Time in Milliseconds.


Ch 6: 2a: 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    
time1 1   1    
Random Effects Intercept 1 Identity 1 PersonID  
Repeated Effects session 6 Identity 1 PersonID 101
Total 9   4    
a. Dependent Variable: rt: Response Time in Milliseconds.
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 8414.688
Akaike's Information Criterion (AIC) 8418.688
Hurvich and Tsai's Criterion (AICC) 8418.708
Bozdogan's Criterion (CAIC) 8429.495
Schwarz's Bayesian Criterion (BIC) 8427.495
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: rt: Response Time in Milliseconds.


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 1 112.515 1648.414 .000
time1 1 504.000 131.820 .000
a. Dependent Variable: rt: Response Time in Milliseconds.
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 1899.631071 46.788177 112.515 40.601 .000 1806.930932 1992.331211
time1 -51.571855 4.491815 504.000 -11.481 .000 -60.396844 -42.746866
a. Dependent Variable: rt: Response Time in Milliseconds.


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 35661.794366 2246.481886 15.875 .000 31519.733316 40348.170611
Intercept [subject = PersonID] Variance 202422.494010 29469.798748 6.869 .000 152172.470126 269265.958866
a. Dependent Variable: rt: Response Time in Milliseconds.
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 202422.494010
Identity
a. Dependent Variable: rt: Response Time in Milliseconds.
Residual Covariance (R) MatrixaResidual Covariance (R) Matrix, table, 1 levels of column headers and 1 levels of row headers, table with 7 columns and 10 rows
  [session = 1] [session = 2] [session = 3] [session = 4] [session = 5] [session = 6]
[session = 1] 35661.794366 0 0 0 0 0
[session = 2] 0 35661.794366 0 0 0 0
[session = 3] 0 0 35661.794366 0 0 0
[session = 4] 0 0 0 35661.794366 0 0
[session = 5] 0 0 0 0 35661.794366 0
[session = 6] 0 0 0 0 0 35661.794366
Identity
a. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 1 (Intercept at Session=1 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 1899.631071 46.788177 112.515 0 40.601 .000 1806.930932 1992.331211
a. Intercept at Session=1 Time=0
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 2 (Intercept at Session=2 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 1848.059216 45.917620 104.439 0 40.247 .000 1757.007360 1939.111072
a. Intercept at Session=2 Time=1
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 3 (Intercept at Session=3 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 1796.487361 45.476093 100.489 0 39.504 .000 1706.269469 1886.705254
a. Intercept at Session=3 Time=2
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 4 (Intercept at Session=4 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 1744.915507 45.476093 100.489 0 38.370 .000 1654.697614 1835.133399
a. Intercept at Session=4 Time=3
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 5 (Intercept at Session=5 Time=4)


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 1693.343652 45.917620 104.439 0 36.878 .000 1602.291796 1784.395508
a. Intercept at Session=5 Time=4
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 6 (Intercept at Session=6 Time=5)


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 1641.771797 46.788177 112.515 0 35.089 .000 1549.071657 1734.471936
a. Intercept at Session=6 Time=5
b. Dependent Variable: rt: Response Time in Milliseconds.


Ch 6: 2b: 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    
time1 1   1    
Random Effects Intercept + time1b 2 Unstructured 3 PersonID  
Repeated Effects session 6 Identity 1 PersonID 101
Total 10   6    
a. Dependent Variable: rt: Response Time in Milliseconds.
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 8372.102
Akaike's Information Criterion (AIC) 8380.102
Hurvich and Tsai's Criterion (AICC) 8380.169
Bozdogan's Criterion (CAIC) 8401.717
Schwarz's Bayesian Criterion (BIC) 8397.717
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: rt: Response Time in Milliseconds.


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 1 100.000 1360.592 .000
time1 1 100 70.166 .000
a. Dependent Variable: rt: Response Time in Milliseconds.
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 1899.631071 51.499764 100.000 36.886 .000 1797.457006 2001.805137
time1 -51.571855 6.156723 100 -8.377 .000 -63.786619 -39.357091
a. Dependent Variable: rt: Response Time in Milliseconds.


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 27905.426830 1963.418980 14.213 .000 24310.748927 32031.627199
Intercept + time1 [subject = PersonID] UN (1,1) 253257.669418 37897.174966 6.683 .000 188881.674563 339574.748410
UN (2,1) -12700.781810 3621.977670 -3.507 .000 -19799.727597 -5601.836023
UN (2,2) 2233.833850 552.924295 4.040 .000 1375.179135 3628.628113
a. Dependent Variable: rt: Response Time in Milliseconds.
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 time1 | PersonID
Intercept | PersonID 253257.669418 -12700.781810
time1 | PersonID -12700.781810 2233.833850
Unstructured
a. Dependent Variable: rt: Response Time in Milliseconds.
Residual Covariance (R) MatrixaResidual Covariance (R) Matrix, table, 1 levels of column headers and 1 levels of row headers, table with 7 columns and 10 rows
  [session = 1] [session = 2] [session = 3] [session = 4] [session = 5] [session = 6]
[session = 1] 27905.426830 0 0 0 0 0
[session = 2] 0 27905.426830 0 0 0 0
[session = 3] 0 0 27905.426830 0 0 0
[session = 4] 0 0 0 27905.426830 0 0
[session = 5] 0 0 0 0 27905.426830 0
[session = 6] 0 0 0 0 0 27905.426830
Identity
a. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 1 (Intercept at Session=1 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 1899.631071 51.499764 100.000 0 36.886 .000 1797.457006 2001.805137
a. Intercept at Session=1 Time=0
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 2 (Intercept at Session=2 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 1848.059216 48.576640 100.000 0 38.044 .000 1751.684546 1944.433887
a. Intercept at Session=2 Time=1
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 3 (Intercept at Session=3 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 1796.487361 46.292166 100.000 0 38.808 .000 1704.645022 1888.329701
a. Intercept at Session=3 Time=2
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 4 (Intercept at Session=4 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 1744.915507 44.744272 100.000 0 38.998 .000 1656.144145 1833.686868
a. Intercept at Session=4 Time=3
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 5 (Intercept at Session=5 Time=4)


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 1693.343652 44.010744 100.000 0 38.476 .000 1606.027590 1780.659714
a. Intercept at Session=5 Time=4
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 6 (Intercept at Session=6 Time=5)


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 1641.771797 44.132208 100.000 0 37.201 .000 1554.214754 1729.328839
a. Intercept at Session=6 Time=5
b. Dependent Variable: rt: Response Time in Milliseconds.


Ch 6: 3a: Fixed Quadratic, 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 10 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
time1 1   1    
time1 * time1 1   1    
Random Effects Intercept + time1b 2 Unstructured 3 PersonID  
Repeated Effects session 6 Identity 1 PersonID 101
Total 11   7    
a. Dependent Variable: rt: Response Time in Milliseconds.
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 8341.477
Akaike's Information Criterion (AIC) 8349.477
Hurvich and Tsai's Criterion (AICC) 8349.544
Bozdogan's Criterion (CAIC) 8371.085
Schwarz's Bayesian Criterion (BIC) 8367.085
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: rt: Response Time in Milliseconds.


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 1 105.879 1387.260 .000
time1 1 501.796 69.125 .000
time1 * time1 1 403 27.695 .000
a. Dependent Variable: rt: Response Time in Milliseconds.
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 1945.849783 52.243264 105.879 37.246 .000 1842.271061 2049.428504
time1 -120.899922 14.541471 501.796 -8.314 .000 -149.469590 -92.330254
time1 * time1 13.865613 2.634761 403 5.263 .000 8.686021 19.045205
a. Dependent Variable: rt: Response Time in Milliseconds.


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 26175.836317 1844.009020 14.195 .000 22800.059223 30051.431014
Intercept + time1 [subject = PersonID] UN (1,1) 254163.645402 37895.529111 6.707 .000 189758.040208 340429.098937
UN (2,1) -12947.866169 3620.696587 -3.576 .000 -20044.301080 -5851.431259
UN (2,2) 2332.667594 551.580204 4.229 .000 1467.501676 3707.892258
a. Dependent Variable: rt: Response Time in Milliseconds.
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 time1 | PersonID
Intercept | PersonID 254163.645402 -12947.866169
time1 | PersonID -12947.866169 2332.667594
Unstructured
a. Dependent Variable: rt: Response Time in Milliseconds.
Residual Covariance (R) MatrixaResidual Covariance (R) Matrix, table, 1 levels of column headers and 1 levels of row headers, table with 7 columns and 10 rows
  [session = 1] [session = 2] [session = 3] [session = 4] [session = 5] [session = 6]
[session = 1] 26175.836317 0 0 0 0 0
[session = 2] 0 26175.836317 0 0 0 0
[session = 3] 0 0 26175.836317 0 0 0
[session = 4] 0 0 0 26175.836317 0 0
[session = 5] 0 0 0 0 26175.836317 0
[session = 6] 0 0 0 0 0 26175.836317
Identity
a. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 1 (Intercept at Session=1 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 1945.849783 52.243264 105.879 0 37.246 .000 1842.271061 2049.428504
a. Intercept at Session=1 Time=0
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 2 (Intercept at Session=2 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 1838.815474 48.608387 100.262 0 37.829 .000 1742.380901 1935.250048
a. Intercept at Session=2 Time=1
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 3 (Intercept at Session=3 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 1759.512392 46.822321 104.646 0 37.578 .000 1666.668723 1852.356062
a. Intercept at Session=3 Time=2
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 4 (Intercept at Session=4 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 1707.940538 45.292549 104.976 0 37.709 .000 1618.133545 1797.747530
a. Intercept at Session=4 Time=3
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 5 (Intercept at Session=5 Time=4)


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 1684.099909 44.045782 100.319 0 38.235 .000 1596.717733 1771.482085
a. Intercept at Session=5 Time=4
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 6 (Intercept at Session=6 Time=5)


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 1687.990508 44.997608 108.035 0 37.513 .000 1598.797774 1777.183241
a. Intercept at Session=6 Time=5
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 7 (Linear Slope at Session=1 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 -120.899922 14.541471 501.796 0 -8.314 .000 -149.469590 -92.330254
a. Linear Slope at Session=1 Time=0
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 8 (Linear Slope at Session=2 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 -93.168695 10.019128 418.920 0 -9.299 .000 -112.862724 -73.474667
a. Linear Slope at Session=2 Time=1
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 9 (Linear Slope at Session=3 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 -65.437468 6.696806 138.827 0 -9.771 .000 -78.678389 -52.196548
a. Linear Slope at Session=3 Time=2
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 10 (Linear Slope at Session=4 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 -37.706242 6.696806 138.827 0 -5.630 .000 -50.947162 -24.465321
a. Linear Slope at Session=4 Time=3
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 11 (Linear Slope at Session=5 Time=4)


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 -9.975015 10.019128 418.920 0 -.996 .320 -29.669043 9.719014
a. Linear Slope at Session=5 Time=4
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 12 (Linear Slope at Session=6 Time=5)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 17.756212 14.541471 501.796 0 1.221 .223 -10.813456 46.325880
a. Linear Slope at Session=6 Time=5
b. Dependent Variable: rt: Response Time in Milliseconds.


Ch 6: 3b: Random Quadratic 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 10 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
time1 1   1    
time1 * time1 1   1    
Random Effects Intercept + time1 + time1 * time1b 3 Unstructured 6 PersonID  
Repeated Effects session 6 Identity 1 PersonID 101
Total 12   10    
a. Dependent Variable: rt: Response Time in Milliseconds.
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 8302.746
Akaike's Information Criterion (AIC) 8316.746
Hurvich and Tsai's Criterion (AICC) 8316.934
Bozdogan's Criterion (CAIC) 8354.559
Schwarz's Bayesian Criterion (BIC) 8347.559
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: rt: Response Time in Milliseconds.


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 1 100 1305.724 .000
time1 1 100.000 36.369 .000
time1 * time1 1 100.000 16.481 .000
a. Dependent Variable: rt: Response Time in Milliseconds.
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 1945.849783 53.849745 100 36.135 .000 1839.013423 2052.686143
time1 -120.899922 20.047560 100.000 -6.031 .000 -160.673711 -81.126133
time1 * time1 13.865613 3.415418 100.000 4.060 .000 7.089522 20.641705
a. Dependent Variable: rt: Response Time in Milliseconds.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 11 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Repeated Measures Variance 20298.185665 1649.114857 12.309 .000 17310.189510 23801.954396
Intercept + time1 + time1 * time1 [subject = PersonID] UN (1,1) 276205.786721 41441.533122 6.665 .000 205835.213525 370634.525122
UN (2,1) -35733.862186 11940.664155 -2.993 .003 -59137.133881 -12330.590491
UN (2,2) 25839.941416 5864.413367 4.406 .000 16561.896293 40315.587091
UN (3,1) 3901.958117 1949.060370 2.002 .045 81.869988 7722.046246
UN (3,2) -3903.319298 982.606157 -3.972 .000 -5829.191975 -1977.446620
UN (3,3) 634.471396 172.374743 3.681 .000 372.525089 1080.608968
a. Dependent Variable: rt: Response Time in Milliseconds.
Random Effect Covariance Structure (G)aRandom Effect Covariance Structure (G), table, 1 levels of column headers and 1 levels of row headers, table with 4 columns and 7 rows
  Intercept | PersonID time1 | PersonID time1 * time1 | PersonID
Intercept | PersonID 276205.786721 -35733.862186 3901.958117
time1 | PersonID -35733.862186 25839.941416 -3903.319298
time1 * time1 | PersonID 3901.958117 -3903.319298 634.471396
Unstructured
a. Dependent Variable: rt: Response Time in Milliseconds.
Residual Covariance (R) MatrixaResidual Covariance (R) Matrix, table, 1 levels of column headers and 1 levels of row headers, table with 7 columns and 10 rows
  [session = 1] [session = 2] [session = 3] [session = 4] [session = 5] [session = 6]
[session = 1] 20298.185665 0 0 0 0 0
[session = 2] 0 20298.185665 0 0 0 0
[session = 3] 0 0 20298.185665 0 0 0
[session = 4] 0 0 0 20298.185665 0 0
[session = 5] 0 0 0 0 20298.185665 0
[session = 6] 0 0 0 0 0 20298.185665
Identity
a. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 1 (Intercept at Session=1 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 1945.849783 53.849745 100 0 36.135 .000 1839.013423 2052.686143
a. Intercept at Session=1 Time=0
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 2 (Intercept at Session=2 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 1838.815474 48.486417 100 0 37.924 .000 1742.619804 1935.011144
a. Intercept at Session=2 Time=1
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 3 (Intercept at Session=3 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 1759.512392 46.997317 100.000 0 37.439 .000 1666.271054 1852.753731
a. Intercept at Session=3 Time=2
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 4 (Intercept at Session=4 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 1707.940538 45.895879 100 0 37.213 .000 1616.884421 1798.996654
a. Intercept at Session=4 Time=3
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 5 (Intercept at Session=5 Time=4)


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 1684.099909 44.239544 100 0 38.068 .000 1596.329914 1771.869904
a. Intercept at Session=5 Time=4
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 6 (Intercept at Session=6 Time=5)


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 1687.990508 44.203839 100 0 38.187 .000 1600.291351 1775.689665
a. Intercept at Session=6 Time=5
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 7 (Linear Slope at Session=1 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 -120.899922 20.047560 100.000 0 -6.031 .000 -160.673711 -81.126133
a. Linear Slope at Session=1 Time=0
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 8 (Linear Slope at Session=2 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 -93.168695 13.649705 100 0 -6.826 .000 -120.249321 -66.088069
a. Linear Slope at Session=2 Time=1
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 9 (Linear Slope at Session=3 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 -65.437468 8.002801 100.000 0 -8.177 .000 -81.314797 -49.560139
a. Linear Slope at Session=3 Time=2
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 10 (Linear Slope at Session=4 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 -37.706242 5.924173 100.000 0 -6.365 .000 -49.459631 -25.952852
a. Linear Slope at Session=4 Time=3
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 11 (Linear Slope at Session=5 Time=4)


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 -9.975015 9.973336 100.000 0 -1.000 .320 -29.761830 9.811800
a. Linear Slope at Session=5 Time=4
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 12 (Linear Slope at Session=6 Time=5)


Contrast Estimatesa,bContrast Estimates, table, 2 levels of column headers and 1 levels of row headers, table with 9 columns and 6 rows
Contrast Estimate Std. Error df Test Value t Sig. 95% Confidence Interval
Lower Bound Upper Bound
L1 17.756212 16.036199 100.000 0 1.107 .271 -14.059149 49.571573
a. Linear Slope at Session=6 Time=5
b. Dependent Variable: rt: Response Time in Milliseconds.


Ch 6: 3b: Random Quadratic Time Model (0=Session 6)



Mixed Model Analysis


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 7 columns and 10 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
time6 1   1    
time6 * time6 1   1    
Random Effects Intercept + time6 + time6 * time6b 3 Unstructured 6 PersonID  
Repeated Effects session 6 Identity 1 PersonID 101
Total 12   10    
a. Dependent Variable: rt: Response Time in Milliseconds.
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 8302.746
Akaike's Information Criterion (AIC) 8316.746
Hurvich and Tsai's Criterion (AICC) 8316.934
Bozdogan's Criterion (CAIC) 8354.559
Schwarz's Bayesian Criterion (BIC) 8347.559
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: rt: Response Time in Milliseconds.


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 1 100.000 1458.210 .000
time6 1 100.000 1.226 .271
time6 * time6 1 100.000 16.481 .000
a. Dependent Variable: rt: Response Time in Milliseconds.
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 1687.990508 44.203839 100.000 38.187 .000 1600.291351 1775.689665
time6 17.756212 16.036199 100.000 1.107 .271 -14.059149 49.571573
time6 * time6 13.865613 3.415418 100.000 4.060 .000 7.089522 20.641705
a. Dependent Variable: rt: Response Time in Milliseconds.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 11 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Repeated Measures Variance 20298.185665 1649.114857 12.309 .000 17310.189510 23801.954396
Intercept + time6 + time6 * time6 [subject = PersonID] UN (1,1) 180678.404327 27942.630185 6.466 .000 133433.402188 244651.528439
UN (2,1) -1645.672208 7298.424887 -.225 .822 -15950.322131 12658.977715
UN (2,2) 11220.695084 3863.754072 2.904 .004 5713.674686 22035.555940
UN (3,1) 247.146534 1545.717198 .160 .873 -2782.403505 3276.696572
UN (3,2) 2441.394664 788.057670 3.098 .002 896.830013 3985.959316
UN (3,3) 634.471396 172.374743 3.681 .000 372.525089 1080.608968
a. Dependent Variable: rt: Response Time in Milliseconds.
Random Effect Covariance Structure (G)aRandom Effect Covariance Structure (G), table, 1 levels of column headers and 1 levels of row headers, table with 4 columns and 7 rows
  Intercept | PersonID time6 | PersonID time6 * time6 | PersonID
Intercept | PersonID 180678.404327 -1645.672208 247.146534
time6 | PersonID -1645.672208 11220.695084 2441.394664
time6 * time6 | PersonID 247.146534 2441.394664 634.471396
Unstructured
a. Dependent Variable: rt: Response Time in Milliseconds.
Residual Covariance (R) MatrixaResidual Covariance (R) Matrix, table, 1 levels of column headers and 1 levels of row headers, table with 7 columns and 10 rows
  [session = 1] [session = 2] [session = 3] [session = 4] [session = 5] [session = 6]
[session = 1] 20298.185665 0 0 0 0 0
[session = 2] 0 20298.185665 0 0 0 0
[session = 3] 0 0 20298.185665 0 0 0
[session = 4] 0 0 0 20298.185665 0 0
[session = 5] 0 0 0 0 20298.185665 0
[session = 6] 0 0 0 0 0 20298.185665
Identity
a. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 1 (Intercept at Session=1 Time=-5)


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 1945.849783 53.849745 100.000 0 36.135 .000 1839.013423 2052.686143
a. Intercept at Session=1 Time=-5
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 2 (Intercept at Session=2 Time=-4)


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 1838.815474 48.486417 100.000 0 37.924 .000 1742.619804 1935.011144
a. Intercept at Session=2 Time=-4
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 3 (Intercept at Session=3 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 1759.512392 46.997317 100.000 0 37.439 .000 1666.271054 1852.753731
a. Intercept at Session=3 Time=-3
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 4 (Intercept at Session=4 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 1707.940538 45.895879 100.000 0 37.213 .000 1616.884421 1798.996654
a. Intercept at Session=4 Time=-2
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 5 (Intercept at Session=5 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 1684.099909 44.239544 100.000 0 38.068 .000 1596.329914 1771.869904
a. Intercept at Session=5 Time=-1
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 6 (Intercept at Session=6 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 1687.990508 44.203839 100.000 0 38.187 .000 1600.291351 1775.689665
a. Intercept at Session=6 Time= 0
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 7 (Linear Slope at Session=1 Time=-5)


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 -120.899922 20.047560 100.000 0 -6.031 .000 -160.673711 -81.126133
a. Linear Slope at Session=1 Time=-5
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 8 (Linear Slope at Session=2 Time=-4)


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 -93.168695 13.649705 100.000 0 -6.826 .000 -120.249321 -66.088069
a. Linear Slope at Session=2 Time=-4
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 9 (Linear Slope at Session=3 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 -65.437468 8.002801 100.000 0 -8.177 .000 -81.314797 -49.560139
a. Linear Slope at Session=3 Time=-3
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 10 (Linear Slope at Session=4 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 -37.706242 5.924173 100.000 0 -6.365 .000 -49.459631 -25.952852
a. Linear Slope at Session=4 Time=-2
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 11 (Linear Slope at Session=5 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 -9.975015 9.973336 100.000 0 -1.000 .320 -29.761830 9.811800
a. Linear Slope at Session=5 Time=-1
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 12 (Linear Slope at Session=6 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 17.756212 16.036199 100.000 0 1.107 .271 -14.059149 49.571573
a. Linear Slope at Session=6 Time= 0
b. Dependent Variable: rt: Response Time in Milliseconds.


Ch 6: 4a: Fixed Slope12, Fixed Slope26, 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 9 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
slope12 1   1    
slope26 1   1    
Random Effects Intercept 1 Identity 1 PersonID  
Repeated Effects session 6 Identity 1 PersonID 101
Total 10   5    
a. Dependent Variable: rt: Response Time in Milliseconds.
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 8382.687
Akaike's Information Criterion (AIC) 8386.687
Hurvich and Tsai's Criterion (AICC) 8386.707
Bozdogan's Criterion (CAIC) 8397.491
Schwarz's Bayesian Criterion (BIC) 8395.491
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: rt: Response Time in Milliseconds.


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 1 128.658 1641.818 .000
slope12 1 503.000 49.576 .000
slope26 1 503.000 32.048 .000
a. Dependent Variable: rt: Response Time in Milliseconds.
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 1961.893367 48.418674 128.658 40.519 .000 1866.093425 2057.693310
slope12 -163.643988 23.241496 503.000 -7.041 .000 -209.306355 -117.981621
slope26 -32.893166 5.810374 503.000 -5.661 .000 -44.308758 -21.477574
a. Dependent Variable: rt: Response Time in Milliseconds.


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 34098.049460 2150.109320 15.859 .000 30133.918190 38583.664084
Intercept [subject = PersonID] Variance 202683.118161 29469.599056 6.878 .000 152424.606684 269513.218904
a. Dependent Variable: rt: Response Time in Milliseconds.
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 202683.118161
Identity
a. Dependent Variable: rt: Response Time in Milliseconds.
Residual Covariance (R) MatrixaResidual Covariance (R) Matrix, table, 1 levels of column headers and 1 levels of row headers, table with 7 columns and 10 rows
  [session = 1] [session = 2] [session = 3] [session = 4] [session = 5] [session = 6]
[session = 1] 34098.049460 0 0 0 0 0
[session = 2] 0 34098.049460 0 0 0 0
[session = 3] 0 0 34098.049460 0 0 0
[session = 4] 0 0 0 34098.049460 0 0
[session = 5] 0 0 0 0 34098.049460 0
[session = 6] 0 0 0 0 0 34098.049460
Identity
a. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 1 (Intercept at Session=1 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 1961.893367 48.418674 128.658 0 40.519 .000 1866.093425 2057.693310
a. Intercept at Session=1 Time=0
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 2 (Intercept at Session=2 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 1798.249380 47.003470 114.571 0 38.258 .000 1705.140843 1891.357916
a. Intercept at Session=2 Time=1
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 3 (Intercept at Session=3 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 1765.356213 45.913450 104.402 0 38.450 .000 1674.312241 1856.400186
a. Intercept at Session=3 Time=2
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 4 (Intercept at Session=4 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 1732.463047 45.544313 101.093 0 38.039 .000 1642.116393 1822.809702
a. Intercept at Session=4 Time=3
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 5 (Intercept at Session=5 Time=4)


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 1699.569881 45.913450 104.402 0 37.017 .000 1608.525909 1790.613854
a. Intercept at Session=5 Time=4
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 6 (Intercept at Session=6 Time=5)


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 1666.676715 47.003470 114.571 0 35.459 .000 1573.568179 1759.785251
a. Intercept at Session=6 Time=5
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 7 (Difference between slope12 and slope26)


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 130.750822 26.626478 503.000 0 4.911 .000 78.438009 183.063635
a. Difference between slope12 and slope26
b. Dependent Variable: rt: Response Time in Milliseconds.


Ch 6: 4b: Random Slope12, Fixed Slope26 Model



Mixed Model Analysis


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 7 columns and 10 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
slope12 1   1    
slope26 1   1    
Random Effects Intercept + slope12b 2 Unstructured 3 PersonID  
Repeated Effects session 6 Identity 1 PersonID 101
Total 11   7    
a. Dependent Variable: rt: Response Time in Milliseconds.
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 8319.613
Akaike's Information Criterion (AIC) 8327.613
Hurvich and Tsai's Criterion (AICC) 8327.680
Bozdogan's Criterion (CAIC) 8349.221
Schwarz's Bayesian Criterion (BIC) 8345.221
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: rt: Response Time in Milliseconds.


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 1 100.000 1287.319 .000
slope12 1 122.560 27.429 .000
slope26 1 403 45.217 .000
a. Dependent Variable: rt: Response Time in Milliseconds.
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 1961.893367 54.680471 100.000 35.879 .000 1853.408871 2070.377864
slope12 -163.643988 31.246189 122.560 -5.237 .000 -225.496109 -101.791867
slope26 -32.893166 4.891649 403 -6.724 .000 -42.509502 -23.276831
a. Dependent Variable: rt: Response Time in Milliseconds.


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 24167.509551 1702.528433 14.195 .000 21050.737115 27745.751360
Intercept + slope12 [subject = PersonID] UN (1,1) 277817.831444 42741.098799 6.500 .000 205497.412724 375589.874563
UN (2,1) -69063.081849 18931.695193 -3.648 .000 -106168.522593 -31957.641104
UN (2,2) 59940.738889 12743.103528 4.704 .000 39514.898403 90925.001043
a. Dependent Variable: rt: Response Time in Milliseconds.
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 slope12 | PersonID
Intercept | PersonID 277817.831444 -69063.081849
slope12 | PersonID -69063.081849 59940.738889
Unstructured
a. Dependent Variable: rt: Response Time in Milliseconds.
Residual Covariance (R) MatrixaResidual Covariance (R) Matrix, table, 1 levels of column headers and 1 levels of row headers, table with 7 columns and 10 rows
  [session = 1] [session = 2] [session = 3] [session = 4] [session = 5] [session = 6]
[session = 1] 24167.509551 0 0 0 0 0
[session = 2] 0 24167.509551 0 0 0 0
[session = 3] 0 0 24167.509551 0 0 0
[session = 4] 0 0 0 24167.509551 0 0
[session = 5] 0 0 0 0 24167.509551 0
[session = 6] 0 0 0 0 0 24167.509551
Identity
a. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 1 (Intercept at Session=1 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 1961.893367 54.680471 100.000 0 35.879 .000 1853.408871 2070.377864
a. Intercept at Session=1 Time=0
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 2 (Intercept at Session=2 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 1798.249380 46.044846 109.619 0 39.054 .000 1706.995771 1889.502988
a. Intercept at Session=2 Time=1
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 3 (Intercept at Session=3 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 1765.356213 45.258625 102.374 0 39.006 .000 1675.589885 1855.122542
a. Intercept at Session=3 Time=2
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 4 (Intercept at Session=4 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 1732.463047 44.993499 100 0 38.505 .000 1643.197227 1821.728868
a. Intercept at Session=4 Time=3
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 5 (Intercept at Session=5 Time=4)


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 1699.569881 45.258625 102.374 0 37.552 .000 1609.803553 1789.336210
a. Intercept at Session=5 Time=4
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 6 (Intercept at Session=6 Time=5)


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 1666.676715 46.044846 109.619 0 36.197 .000 1575.423107 1757.930323
a. Intercept at Session=6 Time=5
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 7 (Difference between slope12 and slope26)


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 130.750822 33.105369 152.626 0 3.950 .000 65.346897 196.154746
a. Difference between slope12 and slope26
b. Dependent Variable: rt: Response Time in Milliseconds.


Ch 6: 4c: Random Slope12, Random Slope26 Model



Mixed Model Analysis


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 7 columns and 10 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
slope12 1   1    
slope26 1   1    
Random Effects Intercept + slope12 + slope26b 3 Unstructured 6 PersonID  
Repeated Effects session 6 Identity 1 PersonID 101
Total 12   10    
a. Dependent Variable: rt: Response Time in Milliseconds.
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 8275.374
Akaike's Information Criterion (AIC) 8289.374
Hurvich and Tsai's Criterion (AICC) 8289.563
Bozdogan's Criterion (CAIC) 8327.188
Schwarz's Bayesian Criterion (BIC) 8320.188
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: rt: Response Time in Milliseconds.


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 1 100.000 1287.319 .000
slope12 1 100 29.325 .000
slope26 1 100 24.923 .000
a. Dependent Variable: rt: Response Time in Milliseconds.
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 1961.893367 54.680471 100.000 35.879 .000 1853.408871 2070.377864
slope12 -163.643988 30.218846 100 -5.415 .000 -223.597318 -103.690658
slope26 -32.893166 6.588753 100 -4.992 .000 -45.965065 -19.821267
a. Dependent Variable: rt: Response Time in Milliseconds.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 11 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Repeated Measures Variance 17673.027906 1435.835368 12.309 .000 15071.468323 20723.655365
Intercept + slope12 + slope26 [subject = PersonID] UN (1,1) 284312.313089 42731.306401 6.653 .000 211769.091949 381705.803383
UN (2,1) -54270.014499 18230.300972 -2.977 .003 -90000.747831 -18539.281167
UN (2,2) 63954.200703 13244.208921 4.829 .000 42618.153870 95971.772969
UN (3,1) -10643.774498 3791.264285 -2.807 .005 -18074.515952 -3213.033043
UN (3,2) -1672.297063 2097.027951 -.797 .425 -5782.396322 2437.802196
UN (3,3) 2617.276103 636.480065 4.112 .000 1624.990461 4215.491946
a. Dependent Variable: rt: Response Time in Milliseconds.
Random Effect Covariance Structure (G)aRandom Effect Covariance Structure (G), table, 1 levels of column headers and 1 levels of row headers, table with 4 columns and 7 rows
  Intercept | PersonID slope12 | PersonID slope26 | PersonID
Intercept | PersonID 284312.313089 -54270.014499 -10643.774498
slope12 | PersonID -54270.014499 63954.200703 -1672.297063
slope26 | PersonID -10643.774498 -1672.297063 2617.276103
Unstructured
a. Dependent Variable: rt: Response Time in Milliseconds.
Residual Covariance (R) MatrixaResidual Covariance (R) Matrix, table, 1 levels of column headers and 1 levels of row headers, table with 7 columns and 10 rows
  [session = 1] [session = 2] [session = 3] [session = 4] [session = 5] [session = 6]
[session = 1] 17673.027906 0 0 0 0 0
[session = 2] 0 17673.027906 0 0 0 0
[session = 3] 0 0 17673.027906 0 0 0
[session = 4] 0 0 0 17673.027906 0 0
[session = 5] 0 0 0 0 17673.027906 0
[session = 6] 0 0 0 0 0 17673.027906
Identity
a. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 1 (Intercept at Session=1 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 1961.893367 54.680471 100.000 0 35.879 .000 1853.408871 2070.377864
a. Intercept at Session=1 Time=0
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 2 (Intercept at Session=2 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 1798.249380 49.784715 100 0 36.121 .000 1699.477923 1897.020836
a. Intercept at Session=2 Time=1
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 3 (Intercept at Session=3 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 1765.356213 46.989943 100 0 37.569 .000 1672.129506 1858.582921
a. Intercept at Session=3 Time=2
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 4 (Intercept at Session=4 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 1732.463047 44.993499 100 0 38.505 .000 1643.197227 1821.728868
a. Intercept at Session=4 Time=3
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 5 (Intercept at Session=5 Time=4)


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 1699.569881 43.904425 100 0 38.711 .000 1612.464753 1786.675009
a. Intercept at Session=5 Time=4
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 6 (Intercept at Session=6 Time=5)


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 1666.676715 43.790472 100 0 38.060 .000 1579.797666 1753.555764
a. Intercept at Session=6 Time=5
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 7 (Difference between slope12 and slope26)


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 130.750822 32.552993 100 0 4.017 .000 66.166612 195.335032
a. Difference between slope12 and slope26
b. Dependent Variable: rt: Response Time in Milliseconds.


Ch 6: Random Slope12, Random Slope26 Model + Fixed Quadratic Slope26



Mixed Model Analysis


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 7 columns and 11 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
slope12 1   1    
slope26 1   1    
slope26 * slope26 1   1    
Random Effects Intercept + slope12 + slope26b 3 Unstructured 6 PersonID  
Repeated Effects session 6 Identity 1 PersonID 101
Total 13   11    
a. Dependent Variable: rt: Response Time in Milliseconds.
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 8268.274
Akaike's Information Criterion (AIC) 8282.274
Hurvich and Tsai's Criterion (AICC) 8282.462
Bozdogan's Criterion (CAIC) 8320.075
Schwarz's Bayesian Criterion (BIC) 8313.075
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: rt: Response Time in Milliseconds.


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 1 100.000 1287.319 .000
slope12 1 111.074 23.981 .000
slope26 1 391.857 13.070 .000
slope26 * slope26 1 302.000 2.748 .098
a. Dependent Variable: rt: Response Time in Milliseconds.
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 1961.893367 54.680471 100.000 35.879 .000 1853.408871 2070.377864
slope12 -151.956346 31.030409 111.074 -4.897 .000 -213.444722 -90.467970
slope26 -56.268450 15.564133 391.857 -3.615 .000 -86.868102 -25.668798
slope26 * slope26 5.843821 3.525182 302.000 1.658 .098 -1.093210 12.780852
a. Dependent Variable: rt: Response Time in Milliseconds.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 11 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Repeated Measures Variance 17571.652353 1429.960789 12.288 .000 14981.068961 20610.209272
Intercept + slope12 + slope26 [subject = PersonID] UN (1,1) 284413.688642 42731.109410 6.656 .000 211867.133252 381801.297094
UN (2,1) -54371.390052 18229.839225 -2.983 .003 -90101.218377 -18641.561727
UN (2,2) 64116.401589 13242.581752 4.842 .000 42772.263827 96111.652385
UN (3,1) -10643.774498 3791.264285 -2.807 .005 -18074.515952 -3213.033043
UN (3,2) -1692.572174 2096.867381 -.807 .420 -5802.356721 2417.212373
UN (3,3) 2627.413658 636.347798 4.129 .000 1634.448568 4223.627874
a. Dependent Variable: rt: Response Time in Milliseconds.
Random Effect Covariance Structure (G)aRandom Effect Covariance Structure (G), table, 1 levels of column headers and 1 levels of row headers, table with 4 columns and 7 rows
  Intercept | PersonID slope12 | PersonID slope26 | PersonID
Intercept | PersonID 284413.688642 -54371.390052 -10643.774498
slope12 | PersonID -54371.390052 64116.401589 -1692.572174
slope26 | PersonID -10643.774498 -1692.572174 2627.413658
Unstructured
a. Dependent Variable: rt: Response Time in Milliseconds.
Residual Covariance (R) MatrixaResidual Covariance (R) Matrix, table, 1 levels of column headers and 1 levels of row headers, table with 7 columns and 10 rows
  [session = 1] [session = 2] [session = 3] [session = 4] [session = 5] [session = 6]
[session = 1] 17571.652353 0 0 0 0 0
[session = 2] 0 17571.652353 0 0 0 0
[session = 3] 0 0 17571.652353 0 0 0
[session = 4] 0 0 0 17571.652353 0 0
[session = 5] 0 0 0 0 17571.652353 0
[session = 6] 0 0 0 0 0 17571.652353
Identity
a. Dependent Variable: rt: Response Time in Milliseconds.


Ch 6: 5a: Fixed Time, Fixed Slope26, 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 9 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
time1 1   1    
slope26 1   1    
Random Effects Intercept 1 Identity 1 PersonID  
Repeated Effects session 6 Identity 1 PersonID 101
Total 10   5    
a. Dependent Variable: rt: Response Time in Milliseconds.
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 8382.687
Akaike's Information Criterion (AIC) 8386.687
Hurvich and Tsai's Criterion (AICC) 8386.707
Bozdogan's Criterion (CAIC) 8397.491
Schwarz's Bayesian Criterion (BIC) 8395.491
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: rt: Response Time in Milliseconds.


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 1 128.658 1641.818 .000
time1 1 503.000 49.576 .000
slope26 1 503.000 24.114 .000
a. Dependent Variable: rt: Response Time in Milliseconds.
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 1961.893367 48.418674 128.658 40.519 .000 1866.093425 2057.693310
time1 -163.643988 23.241496 503.000 -7.041 .000 -209.306355 -117.981621
slope26 130.750822 26.626478 503.000 4.911 .000 78.438009 183.063635
a. Dependent Variable: rt: Response Time in Milliseconds.


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 34098.049460 2150.109320 15.859 .000 30133.918190 38583.664084
Intercept [subject = PersonID] Variance 202683.118161 29469.599056 6.878 .000 152424.606684 269513.218904
a. Dependent Variable: rt: Response Time in Milliseconds.
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 202683.118161
Identity
a. Dependent Variable: rt: Response Time in Milliseconds.
Residual Covariance (R) MatrixaResidual Covariance (R) Matrix, table, 1 levels of column headers and 1 levels of row headers, table with 7 columns and 10 rows
  [session = 1] [session = 2] [session = 3] [session = 4] [session = 5] [session = 6]
[session = 1] 34098.049460 0 0 0 0 0
[session = 2] 0 34098.049460 0 0 0 0
[session = 3] 0 0 34098.049460 0 0 0
[session = 4] 0 0 0 34098.049460 0 0
[session = 5] 0 0 0 0 34098.049460 0
[session = 6] 0 0 0 0 0 34098.049460
Identity
a. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 1 (Intercept at Session=1 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 1961.893367 48.418674 128.658 0 40.519 .000 1866.093425 2057.693310
a. Intercept at Session=1 Time=0
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 2 (Intercept at Session=2 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 1798.249380 47.003470 114.571 0 38.258 .000 1705.140843 1891.357916
a. Intercept at Session=2 Time=1
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 3 (Intercept at Session=3 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 1765.356213 45.913450 104.402 0 38.450 .000 1674.312241 1856.400186
a. Intercept at Session=3 Time=2
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 4 (Intercept at Session=4 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 1732.463047 45.544313 101.093 0 38.039 .000 1642.116393 1822.809702
a. Intercept at Session=4 Time=3
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 5 (Intercept at Session=5 Time=4)


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 1699.569881 45.913450 104.402 0 37.017 .000 1608.525909 1790.613854
a. Intercept at Session=5 Time=4
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 6 (Intercept at Session=6 Time=5)


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 1666.676715 47.003470 114.571 0 35.459 .000 1573.568179 1759.785251
a. Intercept at Session=6 Time=5
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 7 (Rate of change from session 2 to 6)


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 -32.893166 5.810374 503.000 0 -5.661 .000 -44.308758 -21.477574
a. Rate of change from session 2 to 6
b. Dependent Variable: rt: Response Time in Milliseconds.


Ch 6: 5b: Random Time, Fixed Slope26 Model



Mixed Model Analysis


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 7 columns and 10 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
time1 1   1    
slope26 1   1    
Random Effects Intercept + time1b 2 Unstructured 3 PersonID  
Repeated Effects session 6 Identity 1 PersonID 101
Total 11   7    
a. Dependent Variable: rt: Response Time in Milliseconds.
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 8333.381
Akaike's Information Criterion (AIC) 8341.381
Hurvich and Tsai's Criterion (AICC) 8341.448
Bozdogan's Criterion (CAIC) 8362.989
Schwarz's Bayesian Criterion (BIC) 8358.989
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: rt: Response Time in Milliseconds.


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 1 109.375 1387.286 .000
time1 1 466.593 61.693 .000
slope26 1 403 31.704 .000
a. Dependent Variable: rt: Response Time in Milliseconds.
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 1961.893367 52.673524 109.375 37.246 .000 1857.500176 2066.286559
time1 -163.643988 20.834453 466.593 -7.854 .000 -204.584964 -122.703012
slope26 130.750822 23.221333 403 5.631 .000 85.100748 176.400895
a. Dependent Variable: rt: Response Time in Milliseconds.


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 25934.409323 1827.001213 14.195 .000 22589.767958 29774.258337
Intercept + time1 [subject = PersonID] UN (1,1) 254290.107160 37895.303082 6.710 .000 189880.380166 340548.394432
UN (2,1) -12982.355740 3620.520622 -3.586 .000 -20078.445765 -5886.265714
UN (2,2) 2346.463422 551.395366 4.256 .000 1480.437116 3719.097914
a. Dependent Variable: rt: Response Time in Milliseconds.
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 time1 | PersonID
Intercept | PersonID 254290.107160 -12982.355740
time1 | PersonID -12982.355740 2346.463422
Unstructured
a. Dependent Variable: rt: Response Time in Milliseconds.
Residual Covariance (R) MatrixaResidual Covariance (R) Matrix, table, 1 levels of column headers and 1 levels of row headers, table with 7 columns and 10 rows
  [session = 1] [session = 2] [session = 3] [session = 4] [session = 5] [session = 6]
[session = 1] 25934.409323 0 0 0 0 0
[session = 2] 0 25934.409323 0 0 0 0
[session = 3] 0 0 25934.409323 0 0 0
[session = 4] 0 0 0 25934.409323 0 0
[session = 5] 0 0 0 0 25934.409323 0
[session = 6] 0 0 0 0 0 25934.409323
Identity
a. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 1 (Intercept at Session=1 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 1961.893367 52.673524 109.375 0 37.246 .000 1857.500176 2066.286559
a. Intercept at Session=1 Time=0
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 2 (Intercept at Session=2 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 1798.249380 49.375557 106.714 0 36.420 .000 1700.365093 1896.133667
a. Intercept at Session=2 Time=1
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 3 (Intercept at Session=3 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 1765.356213 46.621168 102.868 0 37.866 .000 1672.892714 1857.819713
a. Intercept at Session=3 Time=2
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 4 (Intercept at Session=4 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 1732.463047 44.798893 100.489 0 38.672 .000 1643.588615 1821.337479
a. Intercept at Session=4 Time=3
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 5 (Intercept at Session=5 Time=4)


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 1699.569881 44.024633 100.126 0 38.605 .000 1612.227612 1786.912150
a. Intercept at Session=5 Time=4
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 6 (Intercept at Session=6 Time=5)


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 1666.676715 44.353305 102.017 0 37.577 .000 1578.702316 1754.651114
a. Intercept at Session=6 Time=5
b. Dependent Variable: rt: Response Time in Milliseconds.


Custom Hypothesis Test 7 (Rate of change from session 2 to 6)


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 -32.893166 6.993564 163.082 0 -4.703 .000 -46.702779 -19.083554
a. Rate of change from session 2 to 6
b. Dependent Variable: rt: Response Time in Milliseconds.


Ch 6: 5c: Random Time, Random Slope26 Model



Mixed Model Analysis


Model DimensionaModel Dimension, table, 1 levels of column headers and 2 levels of row headers, table with 7 columns and 10 rows
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
time1 1   1    
slope26 1   1    
Random Effects Intercept + time1 + slope26b 3 Unstructured 6 PersonID  
Repeated Effects session 6 Identity 1 PersonID 101
Total 12   10    
a. Dependent Variable: rt: Response Time in Milliseconds.
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 8275.374
Akaike's Information Criterion (AIC) 8289.374
Hurvich and Tsai's Criterion (AICC) 8289.563
Bozdogan's Criterion (CAIC) 8327.188
Schwarz's Bayesian Criterion (BIC) 8320.188
The information criteria are displayed in smaller-is-better form.
a. Dependent Variable: rt: Response Time in Milliseconds.


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 1 100.000 1287.319 .000
time1 1 100.000 29.325 .000
slope26 1 100.000 16.133 .000
a. Dependent Variable: rt: Response Time in Milliseconds.
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 1961.893367 54.680471 100.000 35.879 .000 1853.408871 2070.377864
time1 -163.643988 30.218846 100.000 -5.415 .000 -223.597318 -103.690658
slope26 130.750822 32.552993 100.000 4.017 .000 66.166612 195.335032
a. Dependent Variable: rt: Response Time in Milliseconds.


Covariance Parameters


Estimates of Covariance ParametersaEstimates of Covariance Parameters, table, 2 levels of column headers and 2 levels of row headers, table with 8 columns and 11 rows
Parameter Estimate Std. Error Wald Z Sig. 95% Confidence Interval
Lower Bound Upper Bound
Repeated Measures Variance 17673.027906 1435.835368 12.309 .000 15071.468323 20723.655365
Intercept + time1 + slope26 [subject = PersonID] UN (1,1) 284312.313089 42731.306401 6.653 .000 211769.091949 381705.803383
UN (2,1) -54270.014499 18230.300972 -2.977 .003 -90000.747831 -18539.281167
UN (2,2) 63954.200703 13244.208921 4.829 .000 42618.153870 95971.772970
UN (3,1) 43626.240001 19048.643348 2.290 .022 6291.585084 80960.894918
UN (3,2) -65626.497766 14153.994418 -4.637 .000 -93367.817063 -37885.178470
UN (3,3) 69916.070933 15433.655888 4.530 .000 45360.531036 107764.544706
a. Dependent Variable: rt: Response Time in Milliseconds.
Random Effect Covariance Structure (G)aRandom Effect Covariance Structure (G), table, 1 levels of column headers and 1 levels of row headers, table with 4 columns and 7 rows
  Intercept | PersonID time1 | PersonID slope26 | PersonID
Intercept | PersonID 284312.313089 -54270.014499 43626.240001
time1 | PersonID -54270.014499 63954.200703 -65626.497766
slope26 | PersonID 43626.240001 -65626.497766 69916.070933
Unstructured
a. Dependent Variable: rt: Response Time in Milliseconds.