* Define locations of files used in examples -- CHANGE THIS.
FILE HANDLE example /NAME = "F:\QIPSR 2013\Download\SPSS".

* SPSS code to import data, center time for polynomial models.
GET FILE = "example/Example23.sav".
DATASET NAME example23 WINDOW=FRONT.
COMPUTE c1sess = Session - 1.
VARIABLE LABELS  c1sess  "c1sess: Session Centered at 1".
EXECUTE.


******************************************************************************
******                   EXAMPLE 2 MODELS                    ******
******************************************************************************.
DATASET ACTIVATE example23 WINDOW=FRONT.

TITLE "SPSS Model 1a: Empty Means, Random Intercept".


SPSS Model 1a: Empty Means, Random Intercept


MIXED nm3rt BY ID session
/METHOD = REML
 /PRINT = SOLUTION TESTCOV G R
 /FIXED =
 /RANDOM = INTERCEPT | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID).



Mixed Model Analysis


Notes
Output Created 03-MAY-2013 11:24:43
Comments  
Input Data F:\QIPSR 2013\Download\SPSS\Example23.sav
Active Dataset example23
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 606
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax MIXED nm3rt BY ID session
/METHOD = REML
/PRINT = SOLUTION TESTCOV G R
/FIXED =
/RANDOM = INTERCEPT | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID).
Resources Processor Time 00:00:00.02
Elapsed Time 00:00:00.17


[example23] F:\QIPSR 2013\Download\SPSS\Example23.sav


Warnings
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 Dimensiona
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
Random Effects Intercept 1 Identity 1 ID  
Repeated Effects session 6 Identity 1 ID 101
Total 8   3    
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.

Information Criteriaa
-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 forms.
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.


Fixed Effects


Type III Tests of Fixed Effectsa
Source Numerator df Denominator df F Sig.
Intercept 1 100 1519.795 .000
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.

Estimates of Fixed Effectsa
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: nm3rt: Number-Match 3 RT in ms.


Covariance Parameters


Estimates of Covariance Parametersa
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 = ID] Variance 200882.797449 29471.183140 6.816 .000 150683.041008 267806.503248
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.

Random Effect Covariance Structure (G)a
  Intercept | ID
Intercept | ID 200882.797449
Identity
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.

Residual Covariance (R) Matrixa
  [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: nm3rt: Number-Match 3 RT in ms.


TITLE "SPSS Model 1b: Saturated Means, Unstructured Variances".


SPSS Model 1b: Saturated Means, Unstructured Variances


MIXED nm3rt BY ID session
/METHOD = REML
 /PRINT  = SOLUTION TESTCOV R
 /FIXED  = session
/REPEATED = session | SUBJECT(ID) COVTYPE(UN)
 /EMMEANS = TABLES(session).



Mixed Model Analysis


Notes
Output Created 03-MAY-2013 11:24:44
Comments  
Input Data F:\QIPSR 2013\Download\SPSS\Example23.sav
Active Dataset example23
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 606
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax MIXED nm3rt BY ID session
/METHOD = REML
/PRINT = SOLUTION TESTCOV R
/FIXED = session
/REPEATED = session | SUBJECT(ID) COVTYPE(UN)
/EMMEANS = TABLES(session).
Resources Processor Time 00:00:00.36
Elapsed Time 00:00:00.41


[example23] F:\QIPSR 2013\Download\SPSS\Example23.sav


Model Dimensiona
  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 ID 101
Total 13   27    
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.

Information Criteriaa
-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 forms.
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.


Fixed Effects


Type III Tests of Fixed Effectsa
Source Numerator df Denominator df F Sig.
Intercept 1 100.000 1519.795 .000
session 5 100.000 16.720 .000
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.

Estimates of Fixed Effectsa
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: nm3rt: Number-Match 3 RT in ms.
b. This parameter is set to zero because it is redundant.


Covariance Parameters


Estimates of Covariance Parametersa
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 398440.923999
UN (2,1) 235658.842109 36577.945652 6.443 .000 163967.386003 307350.298215
UN (2,2) 259150.065653 36649.353754 7.071 .000 196414.364668 341923.853896
UN (3,1) 217994.111267 34350.421952 6.346 .000 150668.521387 285319.701147
UN (3,2) 230216.774232 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 266642.386356
UN (4,2) 213231.676045 31913.037848 6.682 .000 150683.271225 275780.080865
UN (4,3) 205208.972033 30475.965818 6.733 .000 145477.176634 264940.767431
UN (4,4) 217543.648538 30765.317817 7.071 .000 164880.133862 287028.145300
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 138686.368523 255150.948843
UN (5,4) 193675.585674 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 134136.386747 256583.864179
UN (6,2) 193268.257922 29721.378479 6.503 .000 135015.426532 251521.089313
UN (6,3) 188604.430763 28545.202557 6.607 .000 132656.861820 244551.999707
UN (6,4) 185320.926711 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 149107.509665 259570.701134
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.

Residual Covariance (R) Matrixa
  [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 230216.774232 213231.676045 202091.999879 193268.257922
[session = 3] 217994.111267 230216.774232 233368.004051 205208.972033 196918.658683 188604.430763
[session = 4] 202606.869554 213231.676045 205208.972033 217543.648538 193675.585674 185320.926711
[session = 5] 192153.799582 202091.999879 196918.658683 193675.585674 212097.577205 187840.341320
[session = 6] 195360.125463 193268.257922 188604.430763 185320.926711 187840.341320 196733.171652
Unstructured
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.


Estimated Marginal Means


session: Occasion 1-6a
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: nm3rt: Number-Match 3 RT in ms.


TITLE "SPSS Model 2a: Fixed Linear Time, Random Intercept ".


SPSS Model 2a: Fixed Linear Time, Random Intercept


MIXED nm3rt BY ID session WITH c1sess
/METHOD = REML
 /PRINT  = SOLUTION TESTCOV G R
 /FIXED  = c1sess
 /RANDOM = INTERCEPT | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID).



Mixed Model Analysis


Notes
Output Created 03-MAY-2013 11:24:44
Comments  
Input Data F:\QIPSR 2013\Download\SPSS\Example23.sav
Active Dataset example23
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 606
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax MIXED nm3rt BY ID session WITH c1sess
/METHOD = REML
/PRINT = SOLUTION TESTCOV G R
/FIXED = c1sess
/RANDOM = INTERCEPT | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID).
Resources Processor Time 00:00:00.02
Elapsed Time 00:00:00.22


[example23] F:\QIPSR 2013\Download\SPSS\Example23.sav


Warnings
The covariance structure for random effect with only one level will be changed to Identity.

Model Dimensiona
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
c1sess 1   1    
Random Effects Intercept 1 Identity 1 ID  
Repeated Effects session 6 Identity 1 ID 101
Total 9   4    
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.

Information Criteriaa
-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 forms.
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.


Fixed Effects


Type III Tests of Fixed Effectsa
Source Numerator df Denominator df F Sig.
Intercept 1 112.515 1648.414 .000
c1sess 1 504.000 131.820 .000
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.

Estimates of Fixed Effectsa
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
c1sess -51.571855 4.491815 504.000 -11.481 .000 -60.396844 -42.746866
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.


Covariance Parameters


Estimates of Covariance Parametersa
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 = ID] Variance 202422.494010 29469.798748 6.869 .000 152172.470126 269265.958866
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.

Random Effect Covariance Structure (G)a
  Intercept | ID
Intercept | ID 202422.494010
Identity
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.

Residual Covariance (R) Matrixa
  [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: nm3rt: Number-Match 3 RT in ms.


TITLE "SPSS Model 2b: Random Linear Time".


SPSS Model 2b: Random Linear Time


MIXED nm3rt BY ID session WITH c1sess
/METHOD = REML
/PRINT  = SOLUTION TESTCOV G R
 /FIXED  = c1sess
/RANDOM = INTERCEPT c1sess | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID).



Mixed Model Analysis


Notes
Output Created 03-MAY-2013 11:24:44
Comments  
Input Data F:\QIPSR 2013\Download\SPSS\Example23.sav
Active Dataset example23
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 606
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax MIXED nm3rt BY ID session WITH c1sess
/METHOD = REML
/PRINT = SOLUTION TESTCOV G R
/FIXED = c1sess
/RANDOM = INTERCEPT c1sess | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID).
Resources Processor Time 00:00:00.02
Elapsed Time 00:00:00.21


[example23] F:\QIPSR 2013\Download\SPSS\Example23.sav


Model Dimensiona
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
c1sess 1   1    
Random Effects Intercept + c1sessb 2 Unstructured 3 ID  
Repeated Effects session 6 Identity 1 ID 101
Total 10   6    
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.
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 Criteriaa
-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 forms.
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.


Fixed Effects


Type III Tests of Fixed Effectsa
Source Numerator df Denominator df F Sig.
Intercept 1 100 1360.592 .000
c1sess 1 100 70.166 .000
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.

Estimates of Fixed Effectsa
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 1899.631071 51.499764 100 36.886 .000 1797.457006 2001.805137
c1sess -51.571855 6.156723 100 -8.377 .000 -63.786619 -39.357091
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.


Covariance Parameters


Estimates of Covariance Parametersa
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 + c1sess [subject = ID] 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: nm3rt: Number-Match 3 RT in ms.

Random Effect Covariance Structure (G)a
  Intercept | ID c1sess | ID
Intercept | ID 253257.669418 -12700.781810
c1sess | ID -12700.781810 2233.833850
Unstructured
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.

Residual Covariance (R) Matrixa
  [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: nm3rt: Number-Match 3 RT in ms.


TITLE "SPSS Model 3a: Fixed Quadratic, Random Linear Time".


SPSS Model 3a: Fixed Quadratic, Random Linear Time


MIXED nm3rt BY ID session WITH c1sess
/METHOD = REML
 /PRINT  = SOLUTION TESTCOV G R
/FIXED  = c1sess c1sess*c1sess
/RANDOM = INTERCEPT c1sess | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID).



Mixed Model Analysis


Notes
Output Created 03-MAY-2013 11:24:45
Comments  
Input Data F:\QIPSR 2013\Download\SPSS\Example23.sav
Active Dataset example23
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 606
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax MIXED nm3rt BY ID session WITH c1sess
/METHOD = REML
/PRINT = SOLUTION TESTCOV G R
/FIXED = c1sess c1sess*c1sess
/RANDOM = INTERCEPT c1sess | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID).
Resources Processor Time 00:00:00.00
Elapsed Time 00:00:00.05


[example23] F:\QIPSR 2013\Download\SPSS\Example23.sav


Model Dimensiona
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
c1sess 1   1    
c1sess * c1sess 1   1    
Random Effects Intercept + c1sessb 2 Unstructured 3 ID  
Repeated Effects session 6 Identity 1 ID 101
Total 11   7    
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.
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 Criteriaa
-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 forms.
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.


Fixed Effects


Type III Tests of Fixed Effectsa
Source Numerator df Denominator df F Sig.
Intercept 1 105.879 1387.260 .000
c1sess 1 501.796 69.125 .000
c1sess * c1sess 1 403 27.695 .000
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.

Estimates of Fixed Effectsa
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
c1sess -120.899922 14.541471 501.796 -8.314 .000 -149.469590 -92.330254
c1sess * c1sess 13.865613 2.634761 403 5.263 .000 8.686021 19.045205
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.


Covariance Parameters


Estimates of Covariance Parametersa
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 + c1sess [subject = ID] 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: nm3rt: Number-Match 3 RT in ms.

Random Effect Covariance Structure (G)a
  Intercept | ID c1sess | ID
Intercept | ID 254163.645402 -12947.866169
c1sess | ID -12947.866169 2332.667594
Unstructured
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.

Residual Covariance (R) Matrixa
  [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: nm3rt: Number-Match 3 RT in ms.


TITLE "SPSS Model 3b: Random Quadratic Time".


SPSS Model 3b: Random Quadratic Time


MIXED nm3rt BY ID session WITH c1sess
/METHOD = REML
 /PRINT  = SOLUTION TESTCOV G R
 /FIXED  = c1sess c1sess*c1sess
 /RANDOM = INTERCEPT c1sess c1sess*c1sess | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID)
 /TEST = "Intercept at Session 1"    intercept 1 c1sess 0   c1sess*c1sess 0
/TEST = "Intercept at Session 2"    intercept 1 c1sess 1   c1sess*c1sess 1
 /TEST = "Intercept at Session 3"    intercept 1 c1sess 2   c1sess*c1sess 4
/TEST = "Intercept at Session 4"    intercept 1 c1sess 3   c1sess*c1sess 9
/TEST = "Intercept at Session 5"    intercept 1 c1sess 4   c1sess*c1sess 16
/TEST = "Intercept at Session 6"    intercept 1 c1sess 5   c1sess*c1sess 25
/TEST = "Linear Slope at Session 1"  c1sess 1    c1sess*c1sess 0
/TEST = "Linear Slope at Session 2"  c1sess 1    c1sess*c1sess 2
/TEST = "Linear Slope at Session 3"  c1sess 1    c1sess*c1sess 4
/TEST = "Linear Slope at Session 4"  c1sess 1    c1sess*c1sess 6
/TEST = "Linear Slope at Session 5"  c1sess 1    c1sess*c1sess 8
/TEST = "Linear Slope at Session 6"  c1sess 1    c1sess*c1sess 10.



Mixed Model Analysis


Notes
Output Created 03-MAY-2013 11:24:45
Comments  
Input Data F:\QIPSR 2013\Download\SPSS\Example23.sav
Active Dataset example23
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 606
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics are based on all cases with valid data for all variables in the model.
Syntax MIXED nm3rt BY ID session WITH c1sess
/METHOD = REML
/PRINT = SOLUTION TESTCOV G R
/FIXED = c1sess c1sess*c1sess
/RANDOM = INTERCEPT c1sess c1sess*c1sess | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID)
/TEST = "Intercept at Session 1" intercept 1 c1sess 0 c1sess*c1sess 0
/TEST = "Intercept at Session 2" intercept 1 c1sess 1 c1sess*c1sess 1
/TEST = "Intercept at Session 3" intercept 1 c1sess 2 c1sess*c1sess 4
/TEST = "Intercept at Session 4" intercept 1 c1sess 3 c1sess*c1sess 9
/TEST = "Intercept at Session 5" intercept 1 c1sess 4 c1sess*c1sess 16
/TEST = "Intercept at Session 6" intercept 1 c1sess 5 c1sess*c1sess 25
/TEST = "Linear Slope at Session 1" c1sess 1 c1sess*c1sess 0
/TEST = "Linear Slope at Session 2" c1sess 1 c1sess*c1sess 2
/TEST = "Linear Slope at Session 3" c1sess 1 c1sess*c1sess 4
/TEST = "Linear Slope at Session 4" c1sess 1 c1sess*c1sess 6
/TEST = "Linear Slope at Session 5" c1sess 1 c1sess*c1sess 8
/TEST = "Linear Slope at Session 6" c1sess 1 c1sess*c1sess 10.
Resources Processor Time 00:00:00.06
Elapsed Time 00:00:00.27


[example23] F:\QIPSR 2013\Download\SPSS\Example23.sav


Model Dimensiona
  Number of Levels Covariance Structure Number of Parameters Subject Variables Number of Subjects
Fixed Effects Intercept 1   1    
c1sess 1   1    
c1sess * c1sess 1   1    
Random Effects Intercept + c1sess + c1sess * c1sessb 3 Unstructured 6 ID  
Repeated Effects session 6 Identity 1 ID 101
Total 12   10    
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.
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 Criteriaa
-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 forms.
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.


Fixed Effects


Type III Tests of Fixed Effectsa
Source Numerator df Denominator df F Sig.
Intercept 1 100.000 1305.724 .000
c1sess 1 100.000 36.369 .000
c1sess * c1sess 1 100.000 16.481 .000
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.

Estimates of Fixed Effectsa
Parameter Estimate Std. Error df t Sig. 95% Confidence Interval
Lower Bound Upper Bound
Intercept 1945.849783 53.849745 100.000 36.135 .000 1839.013423 2052.686143
c1sess -120.899922 20.047560 100.000 -6.031 .000 -160.673711 -81.126133
c1sess * c1sess 13.865613 3.415418 100.000 4.060 .000 7.089522 20.641705
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.


Covariance Parameters


Estimates of Covariance Parametersa
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 + c1sess + c1sess * c1sess [subject = ID] 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: nm3rt: Number-Match 3 RT in ms.

Random Effect Covariance Structure (G)a
  Intercept | ID c1sess | ID c1sess * c1sess | ID
Intercept | ID 276205.786721 -35733.862186 3901.958117
c1sess | ID -35733.862186 25839.941416 -3903.319298
c1sess * c1sess | ID 3901.958117 -3903.319298 634.471396
Unstructured
a. Dependent Variable: nm3rt: Number-Match 3 RT in ms.

Residual Covariance (R) Matrixa
  [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: nm3rt: Number-Match 3 RT in ms.


Custom Hypothesis Test 1 (Intercept at Session 1)


Contrast Estimatesa,b
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
b. Dependent Variable: nm3rt: Number-Match 3 RT in ms.


Custom Hypothesis Test 2 (Intercept at Session 2)


Contrast Estimatesa,b
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
b. Dependent Variable: nm3rt: Number-Match 3 RT in ms.


Custom Hypothesis Test 3 (Intercept at Session 3)


Contrast Estimatesa,b
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
b. Dependent Variable: nm3rt: Number-Match 3 RT in ms.


Custom Hypothesis Test 4 (Intercept at Session 4)


Contrast Estimatesa,b
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
b. Dependent Variable: nm3rt: Number-Match 3 RT in ms.


Custom Hypothesis Test 5 (Intercept at Session 5)


Contrast Estimatesa,b
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
b. Dependent Variable: nm3rt: Number-Match 3 RT in ms.


Custom Hypothesis Test 6 (Intercept at Session 6)


Contrast Estimatesa,b
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
b. Dependent Variable: nm3rt: Number-Match 3 RT in ms.


Custom Hypothesis Test 7 (Linear Slope at Session 1)


Contrast Estimatesa,b
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
b. Dependent Variable: nm3rt: Number-Match 3 RT in ms.


Custom Hypothesis Test 8 (Linear Slope at Session 2)


Contrast Estimatesa,b
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
b. Dependent Variable: nm3rt: Number-Match 3 RT in ms.


Custom Hypothesis Test 9 (Linear Slope at Session 3)


Contrast Estimatesa,b
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
b. Dependent Variable: nm3rt: Number-Match 3 RT in ms.


Custom Hypothesis Test 10 (Linear Slope at Session 4)


Contrast Estimatesa,b
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
b. Dependent Variable: nm3rt: Number-Match 3 RT in ms.


Custom Hypothesis Test 11 (Linear Slope at Session 5)


Contrast Estimatesa,b
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
b. Dependent Variable: nm3rt: Number-Match 3 RT in ms.


Custom Hypothesis Test 12 (Linear Slope at Session 6)


Contrast Estimatesa,b
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
b. Dependent Variable: nm3rt: Number-Match 3 RT in ms.