Exponential covariance for strength data

Exercise Therapy Trial

 

The Mixed Procedure

 

Model Information

Data Set

WORK.EXERCISE

Dependent Variable

y

Covariance Structure

Spatial Exponential

Subject Effect

id

Estimation Method

REML

Residual Variance Method

Profile

Fixed Effects SE Method

Model-Based

Degrees of Freedom Method

Between-Within

 

Class Level Information

Class

Levels

Values

id

37

not printed

group

2

1 2

time

5

0 4 6 8 12

 

Dimensions

Covariance Parameters

2

Columns in X

18

Columns in Z

0

Subjects

37

Max Obs Per Subject

5

Observations Used

173

Observations Not Used

12

Total Observations

185

 

Iteration History

Iteration

Evaluations

-2 Res Log Like

Criterion

0

1

893.47252907

 

1

2

686.42342277

0.14063362

2

1

650.83185508

0.08302013

3

1

631.90109146

0.04245168

4

1

622.88673739

0.01713080

5

1

619.45497302

0.00443599

6

1

618.62527630

0.00045783

7

1

618.54692686

0.00000658

8

1

618.54586739

0.00000000

 

Convergence criteria met.

 

Estimated R Matrix for id 1

Row

Col1

Col2

Col3

Col4

Col5

1

11.8738

10.8875

10.4255

9.9832

9.1539

2

10.8875

11.8738

11.3700

10.8875

9.9832

3

10.4255

11.3700

11.8738

11.3700

10.4255

4

9.9832

10.8875

11.3700

11.8738

10.8875

5

9.1539

9.9832

10.4255

10.8875

11.8738

 

Estimated R Correlation Matrix for id 1

Row

Col1

Col2

Col3

Col4

Col5

1

1.0000

0.9169

0.8780

0.8408

0.7709

2

0.9169

1.0000

0.9576

0.9169

0.8408

3

0.8780

0.9576

1.0000

0.9576

0.8780

4

0.8408

0.9169

0.9576

1.0000

0.9169

5

0.7709

0.8408

0.8780

0.9169

1.0000

 

Covariance Parameter Estimates

Cov Parm

Subject

Estimate

SP(EXP)

id

46.1262

Residual

 

11.8738

 

Fit Statistics

-2 Res Log Likelihood

618.5

AIC (smaller is better)

622.5

AICC (smaller is better)

622.6

BIC (smaller is better)

625.8

 

 

 

Type 3 Tests of Fixed Effects

Effect

Num DF

Den DF

Chi-Square

F Value

Pr > ChiSq

Pr > F

group

1

35

1.70

1.70

0.1917

0.2002

time

4

128

28.18

7.04

<.0001

<.0001

group*time

4

128

3.57

0.89

0.4679

0.4711