Results: pain2.sas

Covariance structure repeated measures analysis of the pain data

The Print Procedure

Data Set WORK.OUCH0

Obs Patient Drug1Dose1 Drug1Dose2 Drug1Dose3 Drug2Dose1 Drug2Dose2 Drug2Dose3
1 1 7 8 9 10 7 6.5
2 2 7.5 6 5.5 6 4.5 7.5
3 3 3 4.5 6 6.5 5.5 8.5
4 4 3 1.5 0 5 0 2
5 5 5 3.5 4.5 5.5 1.5 5.5
6 6 8 6 4 6.5 5.5 4.5
7 7 7.5 4.5 5.5 5 5.5 6
8 8 7.5 4 0.5 3.5 4.5 7.5
9 9 7.5 4.5 4 7.5 4.5 6
10 10 6 7.5 5.5 7.5 6 6.5

Covariance structure repeated measures analysis of the pain data

The Print Procedure

Data Set WORK.HURT

Obs Patient drug dose pain
1 1 1 1 7.0
2 1 1 2 8.0
3 1 1 3 9.0
4 1 2 1 10.0
5 1 2 2 7.0
6 1 2 3 6.5
7 2 1 1 7.5
8 2 1 2 6.0
9 2 1 3 5.5
10 2 2 1 6.0
11 2 2 2 4.5
12 2 2 3 7.5

Covariance structure repeated measures analysis of the pain data

Unknown covariance structure

The Mixed Procedure

The Mixed Procedure

Model Information

Model Information
Data Set WORK.HURT
Dependent Variable pain
Covariance Structure Unstructured
Subject Effect Patient
Estimation Method REML
Residual Variance Method None
Fixed Effects SE Method Model-Based
Degrees of Freedom Method Between-Within

Class Level Information

Class Level Information
Class Levels Values
drug 2 1 2
dose 3 1 2 3

Dimensions

Dimensions
Covariance Parameters 21
Columns in X 12
Columns in Z 0
Subjects 10
Max Obs per Subject 6

Number of Observations

Number of Observations
Number of Observations Read 60
Number of Observations Used 60
Number of Observations Not Used 0

Iteration History

Iteration History
Iteration Evaluations -2 Res Log Like Criterion
0 1 244.69216802  
1 1 198.25442676 0.00000000

Convergence Status

Convergence criteria met.

Covariance Parameter Estimates

Covariance Parameter Estimates
Cov Parm Subject Estimate
UN(1,1) Patient 3.6222
UN(2,1) Patient 1.8889
UN(2,2) Patient 3.7222
UN(3,1) Patient 0.9833
UN(3,2) Patient 3.9167
UN(3,3) Patient 6.9139
UN(4,1) Patient 0.3778
UN(4,2) Patient 2.5000
UN(4,3) Patient 3.6556
UN(4,4) Patient 3.1778
UN(5,1) Patient 2.1778
UN(5,2) Patient 3.5000
UN(5,3) Patient 3.8861
UN(5,4) Patient 2.0444
UN(5,5) Patient 4.5250
UN(6,1) Patient 0.7667
UN(6,2) Patient 1.6389
UN(6,3) Patient 2.3083
UN(6,4) Patient 0.4000
UN(6,5) Patient 2.5028
UN(6,6) Patient 3.3028

Fit Statistics

Fit Statistics
-2 Res Log Likelihood 198.3
AIC (Smaller is Better) 240.3
AICC (Smaller is Better) 269.1
BIC (Smaller is Better) 246.6

Null Model Likelihood Ratio Test

Null Model Likelihood Ratio Test
DF Chi-Square Pr > ChiSq
20 46.44 0.0007

Type 3 Tests of Fixed Effects

Type 3 Tests of Fixed Effects
Effect Num DF Den DF F Value Pr > F
drug 1 9 1.86 0.2059
dose 2 9 8.83 0.0076
drug*dose 2 9 5.92 0.0228

Least Squares Means

Least Squares Means
Effect dose Estimate Standard
Error		 DF t Value Pr > |t|
dose 1 6.2500 0.4346 9 14.38 <.0001
dose 2 4.7250 0.6174 9 7.65 <.0001
dose 3 5.2500 0.6090 9 8.62 <.0001

Differences of Least Squares Means

Differences of Least Squares Means
Effect dose _dose Estimate Standard
Error		 DF t Value Pr > |t| Adjustment Adj P
dose 1 2 1.5250 0.3735 9 4.08 0.0027 Bonferroni 0.0082
dose 1 3 1.0000 0.5191 9 1.93 0.0862 Bonferroni 0.2585
dose 2 3 -0.5250 0.3934 9 -1.33 0.2148 Bonferroni 0.6445

Covariance structure repeated measures analysis of the pain data

Compound symmetry

The Mixed Procedure

The Mixed Procedure

Model Information

Model Information
Data Set WORK.HURT
Dependent Variable pain
Covariance Structure Compound Symmetry
Subject Effect Patient
Estimation Method REML
Residual Variance Method Profile
Fixed Effects SE Method Model-Based
Degrees of Freedom Method Between-Within

Class Level Information

Class Level Information
Class Levels Values
drug 2 1 2
dose 3 1 2 3

Dimensions

Dimensions
Covariance Parameters 2
Columns in X 12
Columns in Z 0
Subjects 10
Max Obs per Subject 6

Number of Observations

Number of Observations
Number of Observations Read 60
Number of Observations Used 60
Number of Observations Not Used 0

Iteration History

Iteration History
Iteration Evaluations -2 Res Log Like Criterion
0 1 244.69216802  
1 1 223.57020609 0.00000000

Convergence Status

Convergence criteria met.

Covariance Parameter Estimates

Covariance Parameter Estimates
Cov Parm Subject Estimate
CS Patient 2.1698
Residual   2.0408

Fit Statistics

Fit Statistics
-2 Res Log Likelihood 223.6
AIC (Smaller is Better) 227.6
AICC (Smaller is Better) 227.8
BIC (Smaller is Better) 228.2

Null Model Likelihood Ratio Test

Null Model Likelihood Ratio Test
DF Chi-Square Pr > ChiSq
1 21.12 <.0001

Type 3 Tests of Fixed Effects

Type 3 Tests of Fixed Effects
Effect Num DF Den DF F Value Pr > F
drug 1 9 1.08 0.3258
dose 2 18 5.88 0.0108
drug*dose 2 18 2.98 0.0763

Least Squares Means

Least Squares Means
Effect dose Estimate Standard
Error		 DF t Value Pr > |t|
dose 1 6.2500 0.5648 18 11.07 <.0001
dose 2 4.7250 0.5648 18 8.37 <.0001
dose 3 5.2500 0.5648 18 9.29 <.0001

Differences of Least Squares Means

Differences of Least Squares Means
Effect dose _dose Estimate Standard
Error		 DF t Value Pr > |t| Adjustment Adj P
dose 1 2 1.5250 0.4518 18 3.38 0.0034 Bonferroni 0.0101
dose 1 3 1.0000 0.4518 18 2.21 0.0400 Bonferroni 0.1200
dose 2 3 -0.5250 0.4518 18 -1.16 0.2604 Bonferroni 0.7811