Marginal Log-linear Regression Model

Clinical Trial of Epileptic Patients

 

The GENMOD Procedure

 

Model Information

Data Set

WORK.SEIZURE

Distribution

Poisson

Link Function

Log

Dependent Variable

y

Offset Variable

ltime

Observations Used

295

 

Class Level Information

Class

Levels

Values

id

59

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59

 

Parameter Information

Parameter

Effect

Prm1

Intercept

Prm2

time

Prm3

trt

Prm4

time*trt

 

Criteria For Assessing Goodness Of Fit

Criterion

DF

Value

Value/DF

Deviance

291

3575.4236

12.2867

Scaled Deviance

291

3575.4236

12.2867

Pearson Chi-Square

291

5726.7928

19.6797

Scaled Pearson X2

291

5726.7928

19.6797

Log Likelihood

 

6673.6613

 

 

Algorithm converged.

 

Analysis Of Initial Parameter Estimates

Parameter

DF

Estimate

Standard Error

Wald 95% Confidence Limits

Chi-Square

Pr > ChiSq

Intercept

1

1.3476

0.0341

1.2809

1.4144

1565.44

<.0001

time

1

0.1118

0.0469

0.0200

0.2037

5.69

0.0170

trt

1

0.0275

0.0467

-0.0640

0.1190

0.35

0.5553

time*trt

1

-0.1047

0.0650

-0.2322

0.0227

2.59

0.1073

Scale

0

1.0000

0.0000

1.0000

1.0000

 

 

 

NOTE:

The scale parameter was held fixed.

 

GEE Model Information

Correlation Structure

Unstructured

Subject Effect

id (59 levels)

Number of Clusters

59

Correlation Matrix Dimension

5

Maximum Cluster Size

5

Minimum Cluster Size

5

 

Algorithm converged.

 

Working Correlation Matrix

 

Col1

Col2

Col3

Col4

Col5

Row1

1.0000

0.9433

0.7320

0.8208

0.6849

Row2

0.9433

1.0000

0.8185

0.9433

0.7817

Row3

0.7320

0.8185

1.0000

0.7144

0.5367

Row4

0.8208

0.9433

0.7144

1.0000

0.6837

Row5

0.6849

0.7817

0.5367

0.6837

1.0000

 

Analysis Of GEE Parameter Estimates

Empirical Standard Error Estimates

Parameter

Estimate

Standard Error

95% Confidence Limits

Z

Pr > |Z|

Intercept

1.1213

0.4794

0.1817

2.0608

2.34

0.0193

time

0.1244

0.1245

-0.1197

0.3685

1.00

0.3179

trt

0.0718

0.5673

-1.0401

1.1837

0.13

0.8993

time*trt

-0.1150

0.2509

-0.6067

0.3768

-0.46

0.6468

 

Analysis Of GEE Parameter Estimates

Model-Based Standard Error Estimates

Parameter

Estimate

Standard Error

95% Confidence Limits

Z

Pr > |Z|

Intercept

1.1213

0.1093

0.9071

1.3354

10.26

<.0001

time

0.1244

0.1751

-0.2189

0.4676

0.71

0.4775

trt

0.0718

0.1482

-0.2187

0.3623

0.48

0.6280

time*trt

-0.1150

0.2483

-0.6016

0.3716

-0.46

0.6433

Scale

4.9401

.

.

.

.

.

 

NOTE:

The scale parameter for GEE estimation was computed as the square root of the normalized Pearson's chi-square.