* Centering level-2 predictor variables for analysis.
DATASET ACTIVATE example23 WINDOW=FRONT.
COMPUTE age80 = age - 80.
COMPUTE reas22 = absreas - 22.
VARIABLE LABELS
age80 "age80: Age Centered (0=80)"
reas22 "reas22: Abstract Reasoning Centered (0=22)".
* Make education a grouping variable for purpose of demonstration only.
IF educyrs LE 12 educgrp=1.
IF educyrs GT 12 AND educyrs LE 16 educgrp=2.
IF educyrs GT 16 educgrp=3.
VARIABLE LABELS educgrp "educgrp: Education Group (1=HS, 2=BA, 3=GRAD)".
* Removing cases with missing predictors.
SELECT IF (NVALID(age80, reas22, educgrp)=3).
EXECUTE.
TITLE "SPSS Model 3b: Random Quadratic Time Baseline in ML".
SPSS Model 3b: Random Quadratic Time Baseline in ML
MIXED nm3rt BY ID session WITH c1sess
/METHOD = ML
/PRINT = SOLUTION TESTCOV G
/FIXED = c1sess c1sess*c1sess
/RANDOM = INTERCEPT c1sess c1sess*c1sess | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID)
/SAVE = FIXPRED (predtime).
Mixed Model Analysis
Notes
|
Output Created
|
9-MAY-2014
|
Comments
|
|
Input
|
Data
|
C:\Dropbox\14_Psyc930MLM\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 = ML
/PRINT = SOLUTION TESTCOV G
/FIXED = c1sess c1sess*c1sess
/RANDOM = INTERCEPT c1sess c1sess*c1sess | SUBJECT(ID)
COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID)
/SAVE = FIXPRED (predtime).
|
Resources
|
Processor Time
|
00:00:00.05
|
Elapsed Time
|
00:00:00.03
|
Variables Created
|
predtime
|
Fixed Predicted
Values
|
|
[example23] C:\Dropbox\14_Psyc930MLM\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 Log Likelihood
|
8321.767
|
Akaike's
Information Criterion (AIC)
|
8341.767
|
Hurvich
and Tsai's Criterion (AICC)
|
8342.136
|
Bozdogan's Criterion (CAIC)
|
8395.835
|
Schwarz's Bayesian
Criterion (BIC)
|
8385.835
|
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
|
101
|
1318.781
|
.000
|
c1sess
|
1
|
101.000
|
36.732
|
.000
|
c1sess * c1sess
|
1
|
101.000
|
16.646
|
.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
|
53.582499
|
101
|
36.315
|
.000
|
1839.556519
|
2052.143047
|
c1sess
|
-120.899922
|
19.948068
|
101.000
|
-6.061
|
.000
|
-160.471523
|
-81.328320
|
c1sess * c1sess
|
13.865613
|
3.398468
|
101.000
|
4.080
|
.000
|
7.123968
|
20.607259
|
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)
|
273305.991707
|
40828.251685
|
6.694
|
.000
|
203934.664178
|
366274.980295
|
UN (2,1)
|
-35261.631562
|
11764.947689
|
-2.997
|
.003
|
-58320.505313
|
-12202.757811
|
UN (2,2)
|
25438.036735
|
5781.189144
|
4.400
|
.000
|
16294.266389
|
39712.970041
|
UN (3,1)
|
3845.380927
|
1920.351720
|
2.002
|
.045
|
81.560719
|
7609.201135
|
UN (3,2)
|
-3837.756661
|
968.789886
|
-3.961
|
.000
|
-5736.549947
|
-1938.963375
|
UN (3,3)
|
622.806319
|
169.989943
|
3.664
|
.000
|
364.774473
|
1063.363090
|
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
|
273305.991707
|
-35261.631562
|
3845.380927
|
c1sess | ID
|
-35261.631562
|
25438.036735
|
-3837.756661
|
c1sess * c1sess | ID
|
3845.380927
|
-3837.756661
|
622.806319
|
Unstructured
|
a. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
|
CORRELATIONS nm3rt predtime.
Correlations
Notes
|
Output Created
|
9-MAY-2014 13:21:58
|
Comments
|
|
Input
|
Data
|
C:\Dropbox\14_Psyc930MLM\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 for each pair
of variables are based on all the cases with valid data for that pair.
|
Syntax
|
CORRELATIONS nm3rt predtime.
|
Resources
|
Processor Time
|
00:00:00.05
|
Elapsed Time
|
00:00:00.06
|
|
[example23] C:\Dropbox\14_Psyc930MLM\Download\SPSS\Example23.sav
Correlations
|
|
nm3rt: Number-Match 3 RT in ms
|
Fixed Predicted Values
|
nm3rt: Number-Match
3 RT in ms
|
Pearson Correlation
|
1
|
.192
|
Sig. (2-tailed)
|
|
.000
|
N
|
606
|
606
|
Fixed Predicted
Values
|
Pearson Correlation
|
.192
|
1
|
Sig. (2-tailed)
|
.000
|
|
N
|
606
|
606
|
|
TITLE "SPSS Model 4a: Age as Predictor of Intercept, Linear, and Quadratic".
>Warning # 2003. Command name: TITLE
>The title given exceeds 60 characters in length. The first 60 characters will
>be used.
SPSS Model 4a: Age as Predictor of Intercept, Linear, and Qu
MIXED nm3rt BY ID session WITH c1sess age80
/METHOD = ML
/PRINT = SOLUTION TESTCOV G
/FIXED = c1sess c1sess*c1sess age80 c1sess*age80 c1sess*c1sess*age80
/RANDOM = INTERCEPT c1sess c1sess*c1sess | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID)
/SAVE = FIXPRED (predage)
/TEST = "Age Effect at Session 1" age80 1 c1sess*age80 0 c1sess*c1sess*age80 0
/TEST = "Age Effect at Session 2" age80 1 c1sess*age80 1 c1sess*c1sess*age80 1
/TEST = "Age Effect at Session 3" age80 1 c1sess*age80 2 c1sess*c1sess*age80 4
/TEST = "Age Effect at Session 4" age80 1 c1sess*age80 3 c1sess*c1sess*age80 9
/TEST = "Age Effect at Session 5" age80 1 c1sess*age80 4 c1sess*c1sess*age80 1
/TEST = "Age Effect at Session 6" age80 1 c1sess*age80 5 c1sess*c1sess*age80 25.
Mixed Model Analysis
Notes
|
Output Created
|
9-MAY-2014 13:21:58
|
Comments
|
|
Input
|
Data
|
C:\Dropbox\14_Psyc930MLM\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 age80
/METHOD = ML
/PRINT = SOLUTION TESTCOV G
/FIXED = c1sess c1sess*c1sess age80 c1sess*age80 c1sess*c1sess*age80
/RANDOM = INTERCEPT c1sess c1sess*c1sess | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID)
/SAVE = FIXPRED (predage)
/TEST = "Age Effect at Session 1" age80 1 c1sess*age80 0
c1sess*c1sess*age80 0
/TEST = "Age Effect at Session 2" age80 1 c1sess*age80 1
c1sess*c1sess*age80 1
/TEST = "Age Effect at Session 3" age80 1 c1sess*age80 2
c1sess*c1sess*age80 4
/TEST = "Age Effect at Session 4" age80 1 c1sess*age80 3
c1sess*c1sess*age80 9
/TEST = "Age Effect at Session 5" age80 1 c1sess*age80 4
c1sess*c1sess*age80 1
/TEST = "Age Effect at Session 6" age80 1 c1sess*age80 5
c1sess*c1sess*age80 25.
|
Resources
|
Processor Time
|
00:00:00.08
|
Elapsed Time
|
00:00:00.14
|
Variables Created
|
predage
|
Fixed Predicted
Values
|
|
[example23] C:\Dropbox\14_Psyc930MLM\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
|
|
|
age80
|
1
|
|
1
|
|
|
c1sess * age80
|
1
|
|
1
|
|
|
c1sess * c1sess *
age80
|
1
|
|
1
|
|
|
Random Effects
|
Intercept + c1sess +
c1sess * c1sessb
|
3
|
Unstructured
|
6
|
ID
|
|
Repeated Effects
|
session
|
6
|
Identity
|
1
|
ID
|
101
|
Total
|
15
|
|
13
|
|
|
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 Log Likelihood
|
8310.202
|
Akaike's
Information Criterion (AIC)
|
8336.202
|
Hurvich
and Tsai's Criterion (AICC)
|
8336.817
|
Bozdogan's Criterion (CAIC)
|
8406.491
|
Schwarz's Bayesian Criterion
(BIC)
|
8393.491
|
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
|
101
|
1482.014
|
.000
|
c1sess
|
1
|
101.000
|
38.365
|
.000
|
c1sess * c1sess
|
1
|
101.000
|
17.145
|
.000
|
age80
|
1
|
101
|
12.024
|
.001
|
c1sess * age80
|
1
|
101.000
|
2.960
|
.088
|
c1sess * c1sess *
age80
|
1
|
101.000
|
1.445
|
.232
|
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
|
1950.691864
|
50.671348
|
101
|
38.497
|
.000
|
1850.173541
|
2051.210188
|
c1sess
|
-121.832456
|
19.669518
|
101.000
|
-6.194
|
.000
|
-160.851488
|
-82.813423
|
c1sess * c1sess
|
13.977443
|
3.375694
|
101.000
|
4.141
|
.000
|
7.280975
|
20.673912
|
age80
|
29.049538
|
8.377356
|
101
|
3.468
|
.001
|
12.431116
|
45.667959
|
c1sess * age80
|
-5.594634
|
3.251908
|
101.000
|
-1.720
|
.088
|
-12.045545
|
.856277
|
c1sess * c1sess *
age80
|
.670912
|
.558094
|
101.000
|
1.202
|
.232
|
-.436197
|
1.778021
|
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)
|
242455.688882
|
36489.686641
|
6.644
|
.000
|
180520.353862
|
325640.626188
|
UN (2,1)
|
-29320.189426
|
10862.584044
|
-2.699
|
.007
|
-50610.462933
|
-8029.915920
|
UN (2,2)
|
24293.777800
|
5623.767093
|
4.320
|
.000
|
15433.001317
|
38241.922469
|
UN (3,1)
|
3132.879291
|
1792.881924
|
1.747
|
.081
|
-381.104709
|
6646.863291
|
UN (3,2)
|
-3700.536379
|
949.393498
|
-3.898
|
.000
|
-5561.313442
|
-1839.759317
|
UN (3,3)
|
606.350773
|
167.754953
|
3.615
|
.000
|
352.555733
|
1042.845783
|
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
|
242455.688882
|
-29320.189426
|
3132.879291
|
c1sess | ID
|
-29320.189426
|
24293.777800
|
-3700.536379
|
c1sess * c1sess | ID
|
3132.879291
|
-3700.536379
|
606.350773
|
Unstructured
|
a. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
|
Custom Hypothesis Test 1 (Age Effect at Session 1)
Contrast Estimatesa,b
|
Contrast
|
Estimate
|
Std. Error
|
df
|
Test Value
|
t
|
Sig.
|
95% Confidence Interval
|
Lower Bound
|
Upper Bound
|
L1
|
29.049538
|
8.377356
|
101
|
0
|
3.468
|
.001
|
12.431116
|
45.667959
|
a. Age Effect at
Session 1
|
b. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
|
Custom Hypothesis Test 2 (Age Effect at Session 2)
Contrast Estimatesa,b
|
Contrast
|
Estimate
|
Std. Error
|
df
|
Test Value
|
t
|
Sig.
|
95% Confidence Interval
|
Lower Bound
|
Upper Bound
|
L1
|
24.125816
|
7.609699
|
101.000
|
0
|
3.170
|
.002
|
9.030221
|
39.221411
|
a. Age Effect at
Session 2
|
b. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
|
Custom Hypothesis Test 3 (Age Effect at Session 3)
Contrast Estimatesa,b
|
Contrast
|
Estimate
|
Std. Error
|
df
|
Test Value
|
t
|
Sig.
|
95% Confidence Interval
|
Lower Bound
|
Upper Bound
|
L1
|
20.543919
|
7.459283
|
101.000
|
0
|
2.754
|
.007
|
5.746708
|
35.341129
|
a. Age Effect at
Session 3
|
b. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
|
Custom Hypothesis Test 4 (Age Effect at Session 4)
Contrast Estimatesa,b
|
Contrast
|
Estimate
|
Std. Error
|
df
|
Test Value
|
t
|
Sig.
|
95% Confidence Interval
|
Lower Bound
|
Upper Bound
|
L1
|
18.303846
|
7.330175
|
101.000
|
0
|
2.497
|
.014
|
3.762750
|
32.844941
|
a. Age Effect at
Session 4
|
b. Dependent Variable:
nm3rt: Number-Match 3 RT in ms.
|
|
Custom Hypothesis Test 5 (Age Effect at Session 5)
Contrast Estimatesa,b
|
Contrast
|
Estimate
|
Std. Error
|
df
|
Test Value
|
t
|
Sig.
|
95% Confidence Interval
|
Lower Bound
|
Upper Bound
|
L1
|
7.341915
|
11.790603
|
101.000
|
0
|
.623
|
.535
|
-16.047471
|
30.731300
|
a. Age Effect at
Session 5
|
b. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
|
Custom Hypothesis Test 6 (Age Effect at Session 6)
Contrast Estimatesa,b
|
Contrast
|
Estimate
|
Std. Error
|
df
|
Test Value
|
t
|
Sig.
|
95% Confidence Interval
|
Lower Bound
|
Upper Bound
|
L1
|
17.849172
|
7.054456
|
101.000
|
0
|
2.530
|
.013
|
3.855030
|
31.843315
|
a. Age Effect at
Session 6
|
b. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
|
CORRELATIONS nm3rt predage.
Correlations
Notes
|
Output Created
|
9-MAY-2014 13:21:59
|
Comments
|
|
Input
|
Data
|
C:\Dropbox\14_Psyc930MLM\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 for each
pair of variables are based on all the cases with valid data for that pair.
|
Syntax
|
CORRELATIONS nm3rt predage.
|
Resources
|
Processor Time
|
00:00:00.02
|
Elapsed Time
|
00:00:00.08
|
|
[example23] C:\Dropbox\14_Psyc930MLM\Download\SPSS\Example23.sav
Correlations
|
|
nm3rt: Number-Match 3 RT in ms
|
Fixed Predicted Values
|
nm3rt: Number-Match
3 RT in ms
|
Pearson Correlation
|
1
|
.327
|
Sig. (2-tailed)
|
|
.000
|
N
|
606
|
606
|
Fixed Predicted
Values
|
Pearson Correlation
|
.327
|
1
|
Sig. (2-tailed)
|
.000
|
|
N
|
606
|
606
|
|
TITLE "SPSS Model 5a: +Reasoning as Predictor of Intercept, Linear, and Quadratic".
>Warning # 2003. Command name: TITLE
>The title given exceeds 60 characters in length. The first 60 characters will
>be used.
SPSS Model 5a: +Reasoning as Predictor of Intercept, Linear,
MIXED nm3rt BY ID session WITH c1sess age80 reas22
/METHOD = ML
/PRINT = SOLUTION TESTCOV G
/FIXED = c1sess c1sess*c1sess age80 c1sess*age80 c1sess*c1sess*age80
reas22 c1sess*reas22 c1sess*c1sess*reas22
/RANDOM = INTERCEPT c1sess c1sess*c1sess | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID)
/SAVE = FIXPRED (predreas).
Mixed Model Analysis
Notes
|
Output Created
|
9-MAY-2014 13:21:59
|
Comments
|
|
Input
|
Data
|
C:\Dropbox\14_Psyc930MLM\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 age80 reas22
/METHOD = ML
/PRINT = SOLUTION TESTCOV G
/FIXED = c1sess c1sess*c1sess age80 c1sess*age80 c1sess*c1sess*age80
reas22 c1sess*reas22 c1sess*c1sess*reas22
/RANDOM = INTERCEPT c1sess c1sess*c1sess | SUBJECT(ID)
COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID)
/SAVE = FIXPRED (predreas).
|
Resources
|
Processor Time
|
00:00:00.08
|
Elapsed Time
|
00:00:00.08
|
Variables Created
|
predreas
|
Fixed Predicted
Values
|
|
[example23] C:\Dropbox\14_Psyc930MLM\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
|
|
|
age80
|
1
|
|
1
|
|
|
c1sess * age80
|
1
|
|
1
|
|
|
c1sess * c1sess *
age80
|
1
|
|
1
|
|
|
reas22
|
1
|
|
1
|
|
|
c1sess * reas22
|
1
|
|
1
|
|
|
c1sess * c1sess *
reas22
|
1
|
|
1
|
|
|
Random Effects
|
Intercept + c1sess +
c1sess * c1sessb
|
3
|
Unstructured
|
6
|
ID
|
|
Repeated Effects
|
session
|
6
|
Identity
|
1
|
ID
|
101
|
Total
|
18
|
|
16
|
|
|
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 Log Likelihood
|
8297.729
|
Akaike's
Information Criterion (AIC)
|
8329.729
|
Hurvich
and Tsai's Criterion (AICC)
|
8330.653
|
Bozdogan's Criterion (CAIC)
|
8416.239
|
Schwarz's Bayesian
Criterion (BIC)
|
8400.239
|
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
|
101.000
|
1567.681
|
.000
|
c1sess
|
1
|
101
|
36.669
|
.000
|
c1sess * c1sess
|
1
|
101.000
|
15.625
|
.000
|
age80
|
1
|
101.000
|
6.708
|
.011
|
c1sess * age80
|
1
|
101
|
3.593
|
.061
|
c1sess * c1sess *
age80
|
1
|
101
|
2.713
|
.103
|
reas22
|
1
|
101.000
|
5.946
|
.016
|
c1sess * reas22
|
1
|
101
|
.659
|
.419
|
c1sess * c1sess *
reas22
|
1
|
101
|
2.362
|
.127
|
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
|
1966.467404
|
49.665846
|
101.000
|
39.594
|
.000
|
1867.943726
|
2064.991082
|
c1sess
|
-119.741651
|
19.774166
|
101
|
-6.055
|
.000
|
-158.968277
|
-80.515025
|
c1sess * c1sess
|
13.303625
|
3.365574
|
101.000
|
3.953
|
.000
|
6.627230
|
19.980019
|
age80
|
22.278170
|
8.601751
|
101.000
|
2.590
|
.011
|
5.214610
|
39.341729
|
c1sess * age80
|
-6.492074
|
3.424737
|
101
|
-1.896
|
.061
|
-13.285830
|
.301682
|
c1sess * c1sess *
age80
|
.960137
|
.582892
|
101
|
1.647
|
.103
|
-.196164
|
2.116438
|
reas22
|
-27.100409
|
11.114108
|
101.000
|
-2.438
|
.016
|
-49.147810
|
-5.053008
|
c1sess * reas22
|
-3.591742
|
4.425017
|
101
|
-.812
|
.419
|
-12.369785
|
5.186302
|
c1sess * c1sess *
reas22
|
1.157537
|
.753140
|
101
|
1.537
|
.127
|
-.336492
|
2.651565
|
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)
|
228049.288118
|
34463.904605
|
6.617
|
.000
|
169586.412144
|
306666.537451
|
UN (2,1)
|
-31229.535829
|
10649.414452
|
-2.933
|
.003
|
-52102.004612
|
-10357.067046
|
UN (2,2)
|
24040.723360
|
5588.980667
|
4.301
|
.000
|
15242.648452
|
37917.057622
|
UN (3,1)
|
3748.218180
|
1746.627470
|
2.146
|
.032
|
324.891244
|
7171.545116
|
UN (3,2)
|
-3618.982693
|
937.054500
|
-3.862
|
.000
|
-5455.575764
|
-1782.389621
|
UN (3,3)
|
580.067876
|
164.189848
|
3.533
|
.000
|
333.076366
|
1010.214998
|
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
|
228049.288118
|
-31229.535829
|
3748.218180
|
c1sess | ID
|
-31229.535829
|
24040.723360
|
-3618.982693
|
c1sess * c1sess | ID
|
3748.218180
|
-3618.982693
|
580.067876
|
Unstructured
|
a. Dependent Variable:
nm3rt: Number-Match 3 RT in ms.
|
|
CORRELATIONS nm3rt predreas.
Correlations
Notes
|
Output Created
|
9-MAY-2014 13:21:59
|
Comments
|
|
Input
|
Data
|
C:\Dropbox\14_Psyc930MLM\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 for each pair
of variables are based on all the cases with valid data for that pair.
|
Syntax
|
CORRELATIONS nm3rt predreas.
|
Resources
|
Processor Time
|
00:00:00.05
|
Elapsed Time
|
00:00:00.05
|
|
[example23] C:\Dropbox\14_Psyc930MLM\Download\SPSS\Example23.sav
Correlations
|
|
nm3rt: Number-Match 3 RT in ms
|
Fixed Predicted Values
|
nm3rt: Number-Match
3 RT in ms
|
Pearson Correlation
|
1
|
.401
|
Sig. (2-tailed)
|
|
.000
|
N
|
606
|
606
|
Fixed Predicted
Values
|
Pearson Correlation
|
.401
|
1
|
Sig. (2-tailed)
|
.000
|
|
N
|
606
|
606
|
|
TITLE "SPSS Model 5b: +Reasoning as Predictor of Intercept, Linear Time Slope Only".
>Warning # 2003. Command name: TITLE
>The title given exceeds 60 characters in length. The first 60 characters will
>be used.
SPSS Model 5b: +Reasoning as Predictor of Intercept, Linear
MIXED nm3rt BY ID session WITH c1sess age80 reas22
/METHOD = ML
/PRINT = SOLUTION TESTCOV G
/FIXED = c1sess c1sess*c1sess age80 c1sess*age80 c1sess*c1sess*age80
reas22 c1sess*reas22
/RANDOM = INTERCEPT c1sess c1sess*c1sess | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID)
/SAVE = FIXPRED (predreas2)
/TEST = "Reasoning Effect at Session 1" reas22 1 c1sess*reas22 0
/TEST = "Reasoning Effect at Session 2" reas22 1 c1sess*reas22 1
/TEST = "Reasoning Effect at Session 3" reas22 1 c1sess*reas22 2
/TEST = "Reasoning Effect at Session 4" reas22 1 c1sess*reas22 3
/TEST = "Reasoning Effect at Session 5" reas22 1 c1sess*reas22 4
/TEST = "Reasoning Effect at Session 6" reas22 1 c1sess*reas22 5.
Mixed Model Analysis
Notes
|
Output Created
|
9-MAY-2014 13:22:00
|
Comments
|
|
Input
|
Data
|
C:\Dropbox\14_Psyc930MLM\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 age80 reas22
/METHOD = ML
/PRINT = SOLUTION TESTCOV G
/FIXED = c1sess c1sess*c1sess age80 c1sess*age80 c1sess*c1sess*age80
reas22 c1sess*reas22
/RANDOM = INTERCEPT c1sess c1sess*c1sess | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID)
/SAVE = FIXPRED (predreas2)
/TEST = "Reasoning Effect at Session 1" reas22 1 c1sess*reas22 0
/TEST = "Reasoning Effect at Session 2" reas22 1 c1sess*reas22 1
/TEST = "Reasoning Effect at Session 3" reas22 1 c1sess*reas22 2
/TEST = "Reasoning Effect at Session 4" reas22 1 c1sess*reas22 3
/TEST = "Reasoning Effect at Session 5" reas22 1 c1sess*reas22 4
/TEST = "Reasoning Effect at Session 6" reas22 1 c1sess*reas22 5.
|
Resources
|
Processor Time
|
00:00:00.11
|
Elapsed Time
|
00:00:00.14
|
Variables Created
|
predreas2
|
Fixed Predicted
Values
|
|
[example23] C:\Dropbox\14_Psyc930MLM\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
|
|
|
age80
|
1
|
|
1
|
|
|
c1sess * age80
|
1
|
|
1
|
|
|
c1sess * c1sess *
age80
|
1
|
|
1
|
|
|
reas22
|
1
|
|
1
|
|
|
c1sess * reas22
|
1
|
|
1
|
|
|
Random Effects
|
Intercept + c1sess +
c1sess * c1sessb
|
3
|
Unstructured
|
6
|
ID
|
|
Repeated Effects
|
session
|
6
|
Identity
|
1
|
ID
|
101
|
Total
|
17
|
|
15
|
|
|
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 Log Likelihood
|
8300.064
|
Akaike's
Information Criterion (AIC)
|
8330.064
|
Hurvich
and Tsai's Criterion (AICC)
|
8330.877
|
Bozdogan's Criterion (CAIC)
|
8411.167
|
Schwarz's Bayesian
Criterion (BIC)
|
8396.167
|
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
|
100.878
|
1571.938
|
.000
|
c1sess
|
1
|
100.912
|
38.817
|
.000
|
c1sess * c1sess
|
1
|
101.000
|
17.145
|
.000
|
age80
|
1
|
102.593
|
5.929
|
.017
|
c1sess * age80
|
1
|
102.329
|
2.182
|
.143
|
c1sess * c1sess *
age80
|
1
|
101.000
|
1.445
|
.232
|
reas22
|
1
|
101
|
9.830
|
.002
|
c1sess * reas22
|
1
|
101.000
|
5.595
|
.020
|
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
|
1969.801546
|
49.682658
|
100.878
|
39.648
|
.000
|
1871.243075
|
2068.360018
|
c1sess
|
-123.541647
|
19.828949
|
100.912
|
-6.230
|
.000
|
-162.877363
|
-84.205932
|
c1sess * c1sess
|
13.977443
|
3.375694
|
101.000
|
4.141
|
.000
|
7.280975
|
20.673912
|
age80
|
20.847049
|
8.561388
|
102.593
|
2.435
|
.017
|
3.866754
|
37.827343
|
c1sess * age80
|
-4.860994
|
3.290739
|
102.329
|
-1.477
|
.143
|
-11.387907
|
1.665919
|
c1sess * c1sess *
age80
|
.670912
|
.558094
|
101.000
|
1.202
|
.232
|
-.436197
|
1.778021
|
reas22
|
-32.828050
|
10.470701
|
101
|
-3.135
|
.002
|
-53.599104
|
-12.056995
|
c1sess * reas22
|
2.936178
|
1.241353
|
101.000
|
2.365
|
.020
|
.473668
|
5.398689
|
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)
|
228692.798252
|
34636.266567
|
6.603
|
.000
|
169955.511145
|
307729.920731
|
UN (2,1)
|
-31962.958658
|
10879.153232
|
-2.938
|
.003
|
-53285.707175
|
-10640.210142
|
UN (2,2)
|
24876.621690
|
5712.986465
|
4.354
|
.000
|
15860.269479
|
39018.650188
|
UN (3,1)
|
3878.269364
|
1787.190860
|
2.170
|
.030
|
375.439646
|
7381.099083
|
UN (3,2)
|
-3767.204923
|
957.766108
|
-3.933
|
.000
|
-5644.392002
|
-1890.017845
|
UN (3,3)
|
606.350773
|
167.754953
|
3.615
|
.000
|
352.555733
|
1042.845783
|
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
|
228692.798252
|
-31962.958658
|
3878.269364
|
c1sess | ID
|
-31962.958658
|
24876.621690
|
-3767.204923
|
c1sess * c1sess | ID
|
3878.269364
|
-3767.204923
|
606.350773
|
Unstructured
|
a. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
|
Custom Hypothesis Test 1 (Reasoning Effect at Session 1)
Contrast Estimatesa,b
|
Contrast
|
Estimate
|
Std. Error
|
df
|
Test Value
|
t
|
Sig.
|
95% Confidence Interval
|
Lower Bound
|
Upper Bound
|
L1
|
-32.828050
|
10.470701
|
101
|
0
|
-3.135
|
.002
|
-53.599104
|
-12.056995
|
a. Reasoning Effect
at Session 1
|
b. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
|
Custom Hypothesis Test 2 (Reasoning Effect at Session 2)
Contrast Estimatesa,b
|
Contrast
|
Estimate
|
Std. Error
|
df
|
Test Value
|
t
|
Sig.
|
95% Confidence Interval
|
Lower Bound
|
Upper Bound
|
L1
|
-29.891871
|
9.961522
|
101
|
0
|
-3.001
|
.003
|
-49.652852
|
-10.130891
|
a. Reasoning Effect
at Session 2
|
b. Dependent Variable:
nm3rt: Number-Match 3 RT in ms.
|
|
Custom Hypothesis Test 3 (Reasoning Effect at Session 3)
Contrast Estimatesa,b
|
Contrast
|
Estimate
|
Std. Error
|
df
|
Test Value
|
t
|
Sig.
|
95% Confidence Interval
|
Lower Bound
|
Upper Bound
|
L1
|
-26.955693
|
9.586980
|
101
|
0
|
-2.812
|
.006
|
-45.973683
|
-7.937703
|
a. Reasoning Effect
at Session 3
|
b. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
|
Custom Hypothesis Test 4 (Reasoning Effect at Session 4)
Contrast Estimatesa,b
|
Contrast
|
Estimate
|
Std. Error
|
df
|
Test Value
|
t
|
Sig.
|
95% Confidence Interval
|
Lower Bound
|
Upper Bound
|
L1
|
-24.019514
|
9.363245
|
101
|
0
|
-2.565
|
.012
|
-42.593674
|
-5.445354
|
a. Reasoning Effect
at Session 4
|
b. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
|
Custom Hypothesis Test 5 (Reasoning Effect at Session 5)
Contrast Estimatesa,b
|
Contrast
|
Estimate
|
Std. Error
|
df
|
Test Value
|
t
|
Sig.
|
95% Confidence Interval
|
Lower Bound
|
Upper Bound
|
L1
|
-21.083336
|
9.301207
|
101
|
0
|
-2.267
|
.026
|
-39.534429
|
-2.632243
|
a. Reasoning Effect
at Session 5
|
b. Dependent Variable:
nm3rt: Number-Match 3 RT in ms.
|
|
Custom Hypothesis Test 6 (Reasoning Effect at Session 6)
Contrast Estimatesa,b
|
Contrast
|
Estimate
|
Std. Error
|
df
|
Test Value
|
t
|
Sig.
|
95% Confidence Interval
|
Lower Bound
|
Upper Bound
|
L1
|
-18.147157
|
9.404066
|
101.000
|
0
|
-1.930
|
.056
|
-36.802294
|
.507979
|
a. Reasoning Effect
at Session 6
|
b. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
|
CORRELATIONS nm3rt predreas2.
Correlations
Notes
|
Output Created
|
9-MAY-2014 13:22:00
|
Comments
|
|
Input
|
Data
|
C:\Dropbox\14_Psyc930MLM\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 for each
pair of variables are based on all the cases with valid data for that pair.
|
Syntax
|
CORRELATIONS nm3rt
predreas2.
|
Resources
|
Processor Time
|
00:00:00.13
|
Elapsed Time
|
00:00:00.22
|
|
[example23] C:\Dropbox\14_Psyc930MLM\Download\SPSS\Example23.sav
Correlations
|
|
nm3rt: Number-Match 3 RT in ms
|
Fixed Predicted Values
|
nm3rt: Number-Match
3 RT in ms
|
Pearson Correlation
|
1
|
.400
|
Sig. (2-tailed)
|
|
.000
|
N
|
606
|
606
|
Fixed Predicted
Values
|
Pearson Correlation
|
.400
|
1
|
Sig. (2-tailed)
|
.000
|
|
N
|
606
|
606
|
|
TITLE "SPSS Model 6a: +Education Group on Intercept, Linear, and Quadratic".
>Warning # 2003. Command name: TITLE
>The title given exceeds 60 characters in length. The first 60 characters will
>be used.
SPSS Model 6a: +Education Group on Intercept, Linear, and Qu
MIXED nm3rt BY ID session educgrp WITH c1sess age80 reas22
/METHOD = ML
/PRINT = SOLUTION TESTCOV G
/FIXED = c1sess c1sess*c1sess age80 c1sess*age80 c1sess*c1sess*age80
reas22 c1sess*reas22 educgrp c1sess*educgrp c1sess*c1sess*educgrp
/RANDOM = INTERCEPT c1sess c1sess*c1sess | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID)
/SAVE = FIXPRED (prededuc)
/EMMEANS = TABLES(educgrp) WITH (c1sess=0) COMPARE(educgrp)
/EMMEANS = TABLES(educgrp) WITH (c1sess=5) COMPARE(educgrp)
/TEST = "L vs. H Educ for for Main Effect" educgrp -1 0 1
/TEST = "M vs. H Educ for for Main Effect" educgrp 0 -1 1
/TEST = "L vs. M Educ for for Main Effect" educgrp -1 1 0
/TEST = "L vs. H Educ for for Linear Session" c1sess*educgrp -1 0 1
/TEST = "M vs. H Educ for for Linear Session" c1sess*educgrp 0 -1 1
/TEST = "L vs. M Educ for for Linear Session" c1sess*educgrp -1 1 0
/TEST = "L vs. H Educ for for Quadratic Session" c1sess*c1sess*educgrp -1 0 1
/TEST = "M vs. H Educ for for Quadratic Session" c1sess*c1sess*educgrp 0 -1 1
/TEST = "L vs. M Educ for for Quadratic Session" c1sess*c1sess*educgrp -1 1 0.
Mixed Model Analysis
Notes
|
Output Created
|
9-MAY-2014 13:22:01
|
Comments
|
|
Input
|
Data
|
C:\Dropbox\14_Psyc930MLM\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 educgrp WITH c1sess age80 reas22
/METHOD = ML
/PRINT = SOLUTION TESTCOV G
/FIXED = c1sess c1sess*c1sess age80 c1sess*age80 c1sess*c1sess*age80
reas22 c1sess*reas22 educgrp c1sess*educgrp c1sess*c1sess*educgrp
/RANDOM = INTERCEPT c1sess c1sess*c1sess | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID)
/SAVE = FIXPRED (prededuc)
/EMMEANS = TABLES(educgrp) WITH (c1sess=0)
COMPARE(educgrp)
/EMMEANS = TABLES(educgrp) WITH (c1sess=5)
COMPARE(educgrp)
/TEST = "L vs. H Educ for for Main Effect" educgrp
-1 0 1
/TEST = "M vs. H Educ for for Main Effect" educgrp
0 -1 1
/TEST = "L vs. M Educ for for Main Effect" educgrp
-1 1 0
/TEST = "L vs. H Educ for for Linear Session" c1sess*educgrp
-1 0 1
/TEST = "M vs. H Educ for for Linear Session" c1sess*educgrp
0 -1 1
/TEST = "L vs. M Educ for for Linear Session" c1sess*educgrp
-1 1 0
/TEST = "L vs. H Educ for for Quadratic Session" c1sess*c1sess*educgrp -1 0 1
/TEST = "M vs. H Educ for for Quadratic Session" c1sess*c1sess*educgrp 0 -1 1
/TEST = "L vs. M Educ for for Quadratic Session" c1sess*c1sess*educgrp -1 1 0.
|
Resources
|
Processor Time
|
00:00:00.20
|
Elapsed Time
|
00:00:00.34
|
Variables Created
|
prededuc
|
Fixed Predicted
Values
|
|
[example23] C:\Dropbox\14_Psyc930MLM\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
|
|
|
age80
|
1
|
|
1
|
|
|
c1sess * age80
|
1
|
|
1
|
|
|
c1sess * c1sess *
age80
|
1
|
|
1
|
|
|
reas22
|
1
|
|
1
|
|
|
c1sess * reas22
|
1
|
|
1
|
|
|
educgrp
|
3
|
|
2
|
|
|
educgrp
* c1sess
|
3
|
|
2
|
|
|
educgrp
* c1sess * c1sess
|
3
|
|
2
|
|
|
Random Effects
|
Intercept + c1sess +
c1sess * c1sessb
|
3
|
Unstructured
|
6
|
ID
|
|
Repeated Effects
|
session
|
6
|
Identity
|
1
|
ID
|
101
|
Total
|
26
|
|
21
|
|
|
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 Log Likelihood
|
8295.366
|
Akaike's
Information Criterion (AIC)
|
8337.366
|
Hurvich
and Tsai's Criterion (AICC)
|
8338.948
|
Bozdogan's Criterion (CAIC)
|
8450.910
|
Schwarz's Bayesian
Criterion (BIC)
|
8429.910
|
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
|
100.139
|
1309.684
|
.000
|
c1sess
|
1
|
100.442
|
37.263
|
.000
|
c1sess * c1sess
|
1
|
101.000
|
18.346
|
.000
|
age80
|
1
|
102.358
|
5.618
|
.020
|
c1sess * age80
|
1
|
102.032
|
1.962
|
.164
|
c1sess * c1sess *
age80
|
1
|
101.000
|
1.246
|
.267
|
reas22
|
1
|
101.000
|
11.575
|
.001
|
c1sess * reas22
|
1
|
101
|
5.412
|
.022
|
educgrp
|
2
|
100.884
|
.240
|
.787
|
educgrp
* c1sess
|
2
|
100.937
|
.961
|
.386
|
educgrp
* c1sess * c1sess
|
2
|
101.000
|
1.091
|
.340
|
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
|
1961.885914
|
101.789547
|
100.456
|
19.274
|
.000
|
1759.949578
|
2163.822251
|
c1sess
|
-106.498718
|
40.283393
|
100.640
|
-2.644
|
.010
|
-186.413597
|
-26.583839
|
c1sess * c1sess
|
12.479659
|
6.848955
|
101.000
|
1.822
|
.071
|
-1.106826
|
26.066143
|
age80
|
20.289629
|
8.560336
|
102.358
|
2.370
|
.020
|
3.310955
|
37.268303
|
c1sess * age80
|
-4.575964
|
3.267253
|
102.032
|
-1.401
|
.164
|
-11.056520
|
1.904591
|
c1sess * c1sess * age80
|
.617686
|
.553420
|
101.000
|
1.116
|
.267
|
-.480151
|
1.715523
|
reas22
|
-36.621280
|
10.764162
|
101.000
|
-3.402
|
.001
|
-57.974482
|
-15.268079
|
c1sess * reas22
|
2.978327
|
1.280259
|
101
|
2.326
|
.022
|
.438637
|
5.518017
|
[educgrp=1.00]
|
-51.376854
|
151.069754
|
101.123
|
-.340
|
.734
|
-351.054181
|
248.300474
|
[educgrp=2.00]
|
37.642537
|
120.873791
|
100.093
|
.311
|
.756
|
-202.164881
|
277.449956
|
[educgrp=3.00]
|
0b
|
0
|
.
|
.
|
.
|
.
|
.
|
[educgrp=1.00]
* c1sess
|
-70.245890
|
59.077958
|
101.085
|
-1.189
|
.237
|
-187.439470
|
46.947689
|
[educgrp=2.00]
* c1sess
|
-4.357662
|
48.132503
|
100.414
|
-.091
|
.928
|
-99.846351
|
91.131027
|
[educgrp=3.00]
* c1sess
|
0b
|
0
|
.
|
.
|
.
|
.
|
.
|
[educgrp=1.00]
* c1sess * c1sess
|
11.065259
|
10.032361
|
101.000
|
1.103
|
.273
|
-8.836247
|
30.966764
|
[educgrp=2.00]
* c1sess * c1sess
|
-1.464111
|
8.188444
|
101.000
|
-.179
|
.858
|
-17.707781
|
14.779558
|
[educgrp=3.00]
* c1sess * c1sess
|
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
|
Variance
|
20298.185665
|
1649.114857
|
12.309
|
.000
|
17310.189510
|
23801.954396
|
Intercept + c1sess +
c1sess * c1sess [subject = ID]
|
UN (1,1)
|
228602.309448
|
34697.930050
|
6.588
|
.000
|
169778.519793
|
307806.994363
|
UN (2,1)
|
-33285.505218
|
10914.350120
|
-3.050
|
.002
|
-54677.238369
|
-11893.772068
|
UN (2,2)
|
24143.433172
|
5618.707976
|
4.297
|
.000
|
15300.502833
|
38097.137831
|
UN (3,1)
|
4127.568901
|
1789.402808
|
2.307
|
.021
|
620.403843
|
7634.733958
|
UN (3,2)
|
-3635.962853
|
939.933881
|
-3.868
|
.000
|
-5478.199407
|
-1793.726299
|
UN (3,3)
|
582.024848
|
164.455096
|
3.539
|
.000
|
334.525106
|
1012.638267
|
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
|
228602.309448
|
-33285.505218
|
4127.568901
|
c1sess | ID
|
-33285.505218
|
24143.433172
|
-3635.962853
|
c1sess * c1sess | ID
|
4127.568901
|
-3635.962853
|
582.024848
|
Unstructured
|
a. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
|
Custom Hypothesis Test 1 (L vs. H Educ for for Main Effect)
Contrast Estimatesa,b
|
Contrast
|
Estimate
|
Std. Error
|
df
|
Test Value
|
t
|
Sig.
|
95% Confidence Interval
|
Lower Bound
|
Upper Bound
|
L1
|
51.376854
|
151.069754
|
101.123
|
0
|
.340
|
.734
|
-248.300474
|
351.054181
|
a. L vs. H Educ for for Main Effect
|
b. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
|
Custom Hypothesis Test 2 (M vs. H Educ for for Main Effect)
Contrast Estimatesa,b
|
Contrast
|
Estimate
|
Std. Error
|
df
|
Test Value
|
t
|
Sig.
|
95% Confidence Interval
|
Lower Bound
|
Upper Bound
|
L1
|
-37.642537
|
120.873791
|
100.093
|
0
|
-.311
|
.756
|
-277.449956
|
202.164881
|
a. M vs. H Educ for for Main Effect
|
b. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
|
Custom Hypothesis Test 3 (L vs. M Educ for for Main Effect)
Contrast Estimatesa,b
|
Contrast
|
Estimate
|
Std. Error
|
df
|
Test Value
|
t
|
Sig.
|
95% Confidence Interval
|
Lower Bound
|
Upper Bound
|
L1
|
89.019391
|
130.749235
|
101.558
|
0
|
.681
|
.498
|
-170.334639
|
348.373421
|
a. L vs. M Educ for for Main Effect
|
b. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
|
Custom Hypothesis Test 4 (L vs. H Educ for for Linear Session)
Contrast Estimatesa,b
|
Contrast
|
Estimate
|
Std. Error
|
df
|
Test Value
|
t
|
Sig.
|
95% Confidence Interval
|
Lower Bound
|
Upper Bound
|
L1
|
70.245890
|
59.077958
|
101.085
|
0
|
1.189
|
.237
|
-46.947689
|
187.439470
|
a. L vs. H Educ for for Linear Session
|
b. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
|
Custom Hypothesis Test 5 (M vs. H Educ for for Linear Session)
Contrast Estimatesa,b
|
Contrast
|
Estimate
|
Std. Error
|
df
|
Test Value
|
t
|
Sig.
|
95% Confidence Interval
|
Lower Bound
|
Upper Bound
|
L1
|
4.357662
|
48.132503
|
100.414
|
0
|
.091
|
.928
|
-91.131027
|
99.846351
|
a. M vs. H Educ for for Linear Session
|
b. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
|
Custom Hypothesis Test 6 (L vs. M Educ for for Linear Session)
Contrast Estimatesa,b
|
Contrast
|
Estimate
|
Std. Error
|
df
|
Test Value
|
t
|
Sig.
|
95% Confidence Interval
|
Lower Bound
|
Upper Bound
|
L1
|
65.888228
|
50.713967
|
101.399
|
0
|
1.299
|
.197
|
-34.709845
|
166.486302
|
a. L vs. M Educ for for Linear Session
|
b. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
|
Custom Hypothesis Test 7 (L vs. H Educ for for Quadratic Session)
Contrast Estimatesa,b
|
Contrast
|
Estimate
|
Std. Error
|
df
|
Test Value
|
t
|
Sig.
|
95% Confidence Interval
|
Lower Bound
|
Upper Bound
|
L1
|
-11.065259
|
10.032361
|
101.000
|
0
|
-1.103
|
.273
|
-30.966764
|
8.836247
|
a. L vs. H Educ for for Quadratic
Session
|
b. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
|
Custom Hypothesis Test 8 (M vs. H Educ for for Quadratic Session)
Contrast Estimatesa,b
|
Contrast
|
Estimate
|
Std. Error
|
df
|
Test Value
|
t
|
Sig.
|
95% Confidence Interval
|
Lower Bound
|
Upper Bound
|
L1
|
1.464111
|
8.188444
|
101.000
|
0
|
.179
|
.858
|
-14.779558
|
17.707781
|
a. M vs. H Educ for for Quadratic
Session
|
b. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
|
Custom Hypothesis Test 9 (L vs. M Educ for for Quadratic Session)
Contrast Estimatesa,b
|
Contrast
|
Estimate
|
Std. Error
|
df
|
Test Value
|
t
|
Sig.
|
95% Confidence Interval
|
Lower Bound
|
Upper Bound
|
L1
|
-12.529370
|
8.604767
|
101.000
|
0
|
-1.456
|
.148
|
-29.598914
|
4.540174
|
a. L vs. M Educ for for Quadratic
Session
|
b. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
|
Estimated Marginal Means
1. educgrp: Education Group (1=HS, 2=BA, 3=GRAD)
Estimatesa
|
educgrp:
Education Group (1=HS, 2=BA, 3=GRAD)
|
Mean
|
Std. Error
|
df
|
95% Confidence Interval
|
Lower Bound
|
Upper Bound
|
1.00
|
1884.284b
|
110.936
|
101.349
|
1664.226
|
2104.342
|
2.00
|
1973.304b
|
66.569
|
100.366
|
1841.239
|
2105.369
|
3.00
|
1935.661b
|
101.248
|
100.173
|
1734.792
|
2136.530
|
a. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
b. Covariates
appearing in the model are evaluated at the following values: c1sess:
Session Centered at 1 = .00, age80: Age Centered (0=80) = -.1667, reas22:
Abstract Reasoning Centered (0=22) = .6238.
|
|
Pairwise Comparisonsa
|
(I) educgrp: Education Group (1=HS, 2=BA, 3=GRAD)
|
(J) educgrp: Education Group (1=HS, 2=BA, 3=GRAD)
|
Mean Difference (I-J)
|
Std. Error
|
df
|
Sig.b
|
95% Confidence Interval for Differenceb
|
Lower Bound
|
Upper Bound
|
1.00
|
2.00
|
-89.019
|
130.749
|
101.558
|
.498
|
-348.373
|
170.335
|
3.00
|
-51.377
|
151.070
|
101.123
|
.734
|
-351.054
|
248.300
|
2.00
|
1.00
|
89.019
|
130.749
|
101.558
|
.498
|
-170.335
|
348.373
|
3.00
|
37.643
|
120.874
|
100.093
|
.756
|
-202.165
|
277.450
|
3.00
|
1.00
|
51.377
|
151.070
|
101.123
|
.734
|
-248.300
|
351.054
|
2.00
|
-37.643
|
120.874
|
100.093
|
.756
|
-277.450
|
202.165
|
Based on estimated
marginal means
|
a. Dependent Variable:
nm3rt: Number-Match 3 RT in ms.
|
b. Adjustment for
multiple comparisons: Least Significant Difference (equivalent to no
adjustments).
|
|
Univariate Testsa
|
Numerator df
|
Denominator df
|
F
|
Sig.
|
2
|
100.869
|
.240
|
.787
|
The F tests the
effect of educgrp: Education Group (1=HS, 2=BA,
3=GRAD). This test is based on the linearly independent pairwise
comparisons among the estimated marginal means.
|
a. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
|
2. educgrp: Education Group (1=HS, 2=BA, 3=GRAD)
Estimatesa
|
educgrp:
Education Group (1=HS, 2=BA, 3=GRAD)
|
Mean
|
Std. Error
|
df
|
95% Confidence Interval
|
Lower Bound
|
Upper Bound
|
1.00
|
1599.713b
|
94.544
|
101.081
|
1412.165
|
1787.260
|
2.00
|
1704.939b
|
56.609
|
100.851
|
1592.640
|
1817.237
|
3.00
|
1725.687b
|
86.063
|
100.806
|
1554.957
|
1896.418
|
a. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
b. Covariates appearing
in the model are evaluated at the following values: c1sess: Session
Centered at 1 = 5.00, age80: Age Centered (0=80) = -.1667, reas22: Abstract
Reasoning Centered (0=22) = .6238.
|
|
Pairwise Comparisonsa
|
(I) educgrp: Education Group (1=HS, 2=BA, 3=GRAD)
|
(J) educgrp: Education Group (1=HS, 2=BA, 3=GRAD)
|
Mean Difference (I-J)
|
Std. Error
|
df
|
Sig.b
|
95% Confidence Interval for Differenceb
|
Lower Bound
|
Upper Bound
|
1.00
|
2.00
|
-105.226
|
111.482
|
101.128
|
.347
|
-326.374
|
115.921
|
3.00
|
-125.975
|
128.681
|
101.029
|
.330
|
-381.242
|
129.293
|
2.00
|
1.00
|
105.226
|
111.482
|
101.128
|
.347
|
-115.921
|
326.374
|
3.00
|
-20.749
|
102.728
|
100.787
|
.840
|
-224.539
|
183.042
|
3.00
|
1.00
|
125.975
|
128.681
|
101.029
|
.330
|
-129.293
|
381.242
|
2.00
|
20.749
|
102.728
|
100.787
|
.840
|
-183.042
|
224.539
|
Based on estimated
marginal means
|
a. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
b. Adjustment for
multiple comparisons: Least Significant Difference (equivalent to no
adjustments).
|
|
Univariate Testsa
|
Numerator df
|
Denominator df
|
F
|
Sig.
|
2
|
100.969
|
.564
|
.571
|
The F tests the
effect of educgrp: Education Group (1=HS, 2=BA,
3=GRAD). This test is based on the linearly independent pairwise
comparisons among the estimated marginal means.
|
a. Dependent
Variable: nm3rt: Number-Match 3 RT in ms.
|
|
CORRELATIONS nm3rt prededuc.
Correlations
Notes
|
Output Created
|
9-MAY-2014 13:22:01
|
Comments
|
|
Input
|
Data
|
C:\Dropbox\14_Psyc930MLM\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 for each
pair of variables are based on all the cases with valid data for that pair.
|
Syntax
|
CORRELATIONS nm3rt prededuc.
|
Resources
|
Processor Time
|
00:00:00.00
|
Elapsed Time
|
00:00:00.02
|
|
[example23] C:\Dropbox\14_Psyc930MLM\Download\SPSS\Example23.sav
Correlations
|
|
nm3rt: Number-Match 3 RT in ms
|
Fixed Predicted Values
|
nm3rt: Number-Match
3 RT in ms
|
Pearson Correlation
|
1
|
.415
|
Sig. (2-tailed)
|
|
.000
|
N
|
606
|
606
|
Fixed Predicted
Values
|
Pearson Correlation
|
.415
|
1
|
Sig. (2-tailed)
|
.000
|
|
N
|
606
|
606
|
|