* Center time for polynomial models.
COMPUTE c1sess = Session - 1.
VARIABLE LABELS  c1sess  "c1sess: Session Centered at 1".

* Create piecewise slopes.
RECODE session (1=0) (2 THRU HI=1) INTO Slope12.
RECODE session (LO THRU 2=0) (3=1) (4=2) (5=3) (6=4) INTO Slope26.
VARIABLE LABELS Slope12 "Slope12: Early Practice Slope (Session 1-2)"
             Slope26 "Slope26: Later Practice Slope (Session 2-6)".
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

9-MAY-201416:50:00

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
/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

00:00:00.03


[Example23] C:\Dropbox\14_Psyc930MLM\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.

 

 


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

9-MAY-201416:50:00

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

Resources

Processor Time

00:00:00.33

Elapsed Time

00:00:00.36


[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

 

 

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.

 

 


*** POLYNOMIAL MODELS ***.

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

9-MAY-201416:50:00

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

Resources

Processor Time

00:00:00.03

Elapsed Time

00:00:00.03


[Example23] C:\Dropbox\14_Psyc930MLM\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.

 

 


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

9-MAY-201416:50:00

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
/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

00:00:00.03

Elapsed Time

00:00:00.05


[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

 

 

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.

 

 


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

9-MAY-201416:50:00

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
/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

00:00:00.02

Elapsed Time

00:00:00.14


[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 + 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.

 

 


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

9-MAY-201416:50:01

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 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

00:00:00.02

Elapsed Time

00:00:00.39


[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 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.

TITLE.

 

 


*** PIECEWISE MODELS ***.

TITLE "SPSS Model 4a: Fixed Slope12, Fixed Slope26, Random Intercept Model".

>Warning # 2003.  Command name: TITLE
>The title given exceeds 60 characters in length.  The first 60 characters will
>be used.

 

SPSS Model 4a: Fixed Slope12, Fixed Slope26, Random Intercep

 

MIXED nm3rt BY ID session WITH Slope12 Slope26
/METHOD = REML
/PRINT  = SOLUTION TESTCOV G R
 /FIXED  = Slope12 Slope26
/RANDOM = INTERCEPT | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID).

 


Mixed Model Analysis

 

Notes

Output Created

9-MAY-201416:50:01

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 WITH Slope12 Slope26
/METHOD = REML
/PRINT = SOLUTION TESTCOV G R
/FIXED = Slope12 Slope26
/RANDOM = INTERCEPT | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID).

Resources

Processor Time

00:00:00.03

Elapsed Time

00:00:00.08


[Example23] C:\Dropbox\14_Psyc930MLM\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

 

 

Slope12

1

 

1

 

 

Slope26

1

 

1

 

 

Random Effects

Intercept

1

Identity

1

ID

 

Repeated Effects

session

6

Identity

1

ID

101

Total

10

 

5

 

 

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

 

Information Criteriaa

-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 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

128.658

1641.818

.000

Slope12

1

503.000

49.576

.000

Slope26

1

503.000

32.048

.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

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: 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

34098.049460

2150.109320

15.859

.000

30133.918190

38583.664084

Intercept [subject = ID]

Variance

202683.118161

29469.599056

6.878

.000

152424.606684

269513.218904

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

 

Random Effect Covariance Structure (G)a

 

Intercept | ID

Intercept | ID

202683.118161

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]

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: nm3rt: Number-Match 3 RT in ms.

TITLE.

 

 


TITLE "SPSS Model 4b: Random Slope12, Fixed Slope26 Model".

 

SPSS Model 4b: Random Slope12, Fixed Slope26 Model

 

MIXED nm3rt BY ID session WITH Slope12 Slope26
/METHOD = REML
/PRINT  = SOLUTION TESTCOV G R
 /FIXED  = Slope12 Slope26
/RANDOM = INTERCEPT Slope12 | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID).

 


Mixed Model Analysis

 

Notes

Output Created

9-MAY-201416:50:02

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 Slope12 Slope26
/METHOD = REML
/PRINT = SOLUTION TESTCOV G R
/FIXED = Slope12 Slope26
/RANDOM = INTERCEPT Slope12 | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID).

Resources

Processor Time

00:00:00.03

Elapsed Time

00:00:00.05


[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

 

 

Slope12

1

 

1

 

 

Slope26

1

 

1

 

 

Random Effects

Intercept + Slope12b

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

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 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

1287.319

.000

Slope12

1

122.560

27.429

.000

Slope26

1

403

45.217

.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

1961.893367

54.680471

100

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: 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

24167.509551

1702.528433

14.195

.000

21050.737115

27745.751360

Intercept + Slope12 [subject = ID]

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: nm3rt: Number-Match 3 RT in ms.

 

Random Effect Covariance Structure (G)a

 

Intercept | ID

Slope12 | ID

Intercept | ID

277817.831444

-69063.081849

Slope12 | ID

-69063.081849

59940.738889

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]

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: nm3rt: Number-Match 3 RT in ms.

TITLE.

 

 


TITLE "SPSS Model 4c: Random Slope12, Random Slope26 Model".

 

SPSS Model 4c: Random Slope12, Random Slope26 Model

 

MIXED nm3rt BY ID session WITH Slope12 Slope26
/METHOD = REMLs
/PRINT  = SOLUTION TESTCOV G R
 /FIXED  = Slope12 Slope26
/RANDOM = INTERCEPT Slope12 Slope26 | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID)
/TEST = "Session 1 Predicted Mean" Intercept 1 Slope12 0 Slope26 0
/TEST = "Session 2 Predicted Mean" Intercept 1 Slope12 1 Slope26 0
/TEST = "Session 3 Predicted Mean" Intercept 1 Slope12 1 Slope26 1
/TEST = "Session 4 Predicted Mean" Intercept 1 Slope12 1 Slope26 2
/TEST = "Session 5 Predicted Mean" Intercept 1 Slope12 1 Slope26 3
/TEST = "Session 6 Predicted Mean" Intercept 1 Slope12 1 Slope26 4
/TEST = "Difference between slopes" Slope12 -1 Slope26 1.

 


Mixed Model Analysis

 

Notes

Output Created

9-MAY-201416:50:02

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 Slope12 Slope26
/METHOD = REMLs
/PRINT = SOLUTION TESTCOV G R
/FIXED = Slope12 Slope26
/RANDOM = INTERCEPT Slope12 Slope26 | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID)
/TEST = "Session 1 Predicted Mean" Intercept 1 Slope12 0 Slope26 0
/TEST = "Session 2 Predicted Mean" Intercept 1 Slope12 1 Slope26 0
/TEST = "Session 3 Predicted Mean" Intercept 1 Slope12 1 Slope26 1
/TEST = "Session 4 Predicted Mean" Intercept 1 Slope12 1 Slope26 2
/TEST = "Session 5 Predicted Mean" Intercept 1 Slope12 1 Slope26 3
/TEST = "Session 6 Predicted Mean" Intercept 1 Slope12 1 Slope26 4
/TEST = "Difference between slopes" Slope12 -1 Slope26 1.

Resources

Processor Time

00:00:00.03

Elapsed Time

00:00:00.34


[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

 

 

Slope12

1

 

1

 

 

Slope26

1

 

1

 

 

Random Effects

Intercept + Slope12 + Slope26b

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

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 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

1287.319

.000

Slope12

1

100.000

29.325

.000

Slope26

1

100

24.923

.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

1961.893367

54.680471

100.000

35.879

.000

1853.408871

2070.377864

Slope12

-163.643988

30.218846

100.000

-5.415

.000

-223.597318

-103.690658

Slope26

-32.893166

6.588753

100

-4.992

.000

-45.965065

-19.821267

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

17673.027906

1435.835368

12.309

.000

15071.468323

20723.655365

Intercept + Slope12 + Slope26 [subject = ID]

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: nm3rt: Number-Match 3 RT in ms.

 

Random Effect Covariance Structure (G)a

 

Intercept | ID

Slope12 | ID

Slope26 | ID

Intercept | ID

284312.313089

-54270.014499

-10643.774498

Slope12 | ID

-54270.014499

63954.200703

-1672.297063

Slope26 | ID

-10643.774498

-1672.297063

2617.276103

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]

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: nm3rt: Number-Match 3 RT in ms.


Custom Hypothesis Test 1 (Session 1 Predicted Mean)

 

Contrast Estimatesa,b

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. Session 1 Predicted Mean

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


Custom Hypothesis Test 2 (Session 2 Predicted Mean)

 

Contrast Estimatesa,b

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. Session 2 Predicted Mean

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


Custom Hypothesis Test 3 (Session 3 Predicted Mean)

 

Contrast Estimatesa,b

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. Session 3 Predicted Mean

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


Custom Hypothesis Test 4 (Session 4 Predicted Mean)

 

Contrast Estimatesa,b

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. Session 4 Predicted Mean

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


Custom Hypothesis Test 5 (Session 5 Predicted Mean)

 

Contrast Estimatesa,b

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. Session 5 Predicted Mean

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


Custom Hypothesis Test 6 (Session 6 Predicted Mean)

 

Contrast Estimatesa,b

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. Session 6 Predicted Mean

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


Custom Hypothesis Test 7 (Difference between slopes)

 

Contrast Estimatesa,b

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 slopes

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

TITLE.

 

 


TITLE "SPSS Model 5c: Random Slope16, Random Slope26 Model".

 

SPSS Model 5c: Random Slope16, Random Slope26 Model

 

MIXED nm3rt BY ID session WITH c1sess Slope26
/METHOD = REML
/PRINT  = SOLUTION TESTCOV G R
 /FIXED  = c1sess Slope26
/RANDOM = INTERCEPT c1sess Slope26 | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID)
/TEST = "Slope between sessions 2-6" c1sess 1 Slope26 1.

 


Mixed Model Analysis

 

Notes

Output Created

9-MAY-201416:50:02

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 Slope26
/METHOD = REML
/PRINT = SOLUTION TESTCOV G R
/FIXED = c1sess Slope26
/RANDOM = INTERCEPT c1sess Slope26 | SUBJECT(ID) COVTYPE(UN)
/REPEATED = session | SUBJECT(ID) COVTYPE(ID)
/TEST = "Slope between sessions 2-6" c1sess 1 Slope26 1.

Resources

Processor Time

00:00:00.03

Elapsed Time

00:00:00.19


[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

 

 

Slope26

1

 

1

 

 

Random Effects

Intercept + c1sess + Slope26b

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

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 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

1287.319

.000

c1sess

1

100.000

29.325

.000

Slope26

1

100.000

16.133

.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

1961.893367

54.680471

100.000

35.879

.000

1853.408871

2070.377864

c1sess

-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: 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

17673.027906

1435.835368

12.309

.000

15071.468323

20723.655365

Intercept + c1sess + Slope26 [subject = ID]

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)

43626.240001

19048.643348

2.290

.022

6291.585084

80960.894918

UN (3,2)

-65626.497767

14153.994418

-4.637

.000

-93367.817062

-37885.178471

UN (3,3)

69916.070933

15433.655888

4.530

.000

45360.531036

107764.544705

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

 

Random Effect Covariance Structure (G)a

 

Intercept | ID

c1sess | ID

Slope26 | ID

Intercept | ID

284312.313089

-54270.014499

43626.240001

c1sess | ID

-54270.014499

63954.200703

-65626.497767

Slope26 | ID

43626.240001

-65626.497767

69916.070933

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]

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: nm3rt: Number-Match 3 RT in ms.


Custom Hypothesis Test  (Slope between sessions 2-6)

 

Contrast Estimatesa,b

Contrast

Estimate

Std. Error

df

Test Value

t

Sig.

95% Confidence Interval

Lower Bound

Upper Bound

L1

-32.893166

6.588753

100

0

-4.992

.000

-45.965065

-19.821267

a. Slope between sessions 2-6

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

TITLE.