KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN … · kutner blood pressure data -- unbalanced...

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KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 1 BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGE 08:01 Monday, April 19, 2004 Obs DRUG DISEASE ISBP MISS BSBP FSBP 1 1 1 42 0 142 184 2 1 1 44 0 136 180 3 1 1 36 0 118 154 4 1 1 13 0 114 127 5 1 1 19 0 107 126 6 1 1 22 0 116 138 7 1 2 33 0 125 158 8 1 2 26 0 115 141 9 1 2 33 0 132 165 10 1 2 21 0 115 136 11 1 3 31 0 119 150 12 1 3 -3 0 92 89 13 1 3 25 0 121 146 14 1 3 25 0 117 142 15 1 3 24 0 111 135 16 2 1 28 0 109 137 17 2 1 23 0 116 139 18 2 1 34 0 126 160 19 2 1 42 0 139 181 20 2 1 13 0 112 125 21 2 2 34 0 116 150 22 2 2 33 0 134 167 23 2 2 31 0 127 158 24 2 2 36 0 119 155 25 2 3 3 0 76 79 26 2 3 26 0 98 124 27 2 3 28 0 118 146 28 2 3 32 0 115 147 29 2 3 4 0 100 104 30 2 3 16 0 97 113 31 3 1 1 0 95 96 32 3 1 29 0 102 131 33 3 1 19 0 114 133 34 3 2 11 0 104 115 35 3 2 9 0 115 124 36 3 2 7 0 126 133 37 3 2 1 0

Transcript of KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN … · kutner blood pressure data -- unbalanced...

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 1

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGE08:01 Monday, April 19, 2004

Obs DRUG DISEASE ISBP MISS BSBP FSBP

1 1 1 42 0 142 184

2 1 1 44 0 136 180

3 1 1 36 0 118 154

4 1 1 13 0 114 127

5 1 1 19 0 107 126

6 1 1 22 0 116 138

7 1 2 33 0 125 158

8 1 2 26 0 115 141

9 1 2 33 0 132 165

10 1 2 21 0 115 136

11 1 3 31 0 119 150

12 1 3 -3 0 92 89

13 1 3 25 0 121 146

14 1 3 25 0 117 142

15 1 3 24 0 111 135

16 2 1 28 0 109 137

17 2 1 23 0 116 139

18 2 1 34 0 126 160

19 2 1 42 0 139 181

20 2 1 13 0 112 125

21 2 2 34 0 116 150

22 2 2 33 0 134 167

23 2 2 31 0 127 158

24 2 2 36 0 119 155

25 2 3 3 0 76 79

26 2 3 26 0 98 124

27 2 3 28 0 118 146

28 2 3 32 0 115 147

29 2 3 4 0 100 104

30 2 3 16 0 97 113

31 3 1 1 0 95 96

32 3 1 29 0 102 131

33 3 1 19 0 114 133

34 3 2 11 0 104 115

35 3 2 9 0 115 124

36 3 2 7 0 126 133

37 3 2 1 0 104 105

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 2

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGE08:01 Monday, April 19, 2004

Obs DRUG DISEASE ISBP MISS BSBP FSBP

38 3 2 -6 0 97 91

39 3 3 21 0 125 146

40 3 3 1 0 107 108

41 3 3 9 0 99 108

42 3 3 3 0 109 112

43 4 1 24 0 121 145

44 4 1 9 0 95 104

45 4 1 22 0 99 121

46 4 1 -2 0 104 102

47 4 1 15 0 107 122

48 4 2 27 0 113 140

49 4 2 12 0 117 129

50 4 2 12 0 82 94

51 4 2 -5 0 96 91

52 4 2 16 0 89 105

53 4 2 15 0 107 122

54 4 3 22 0 105 127

55 4 3 7 0 83 90

56 4 3 25 0 121 146

57 4 3 5 0 101 106

58 4 3 12 0 92 104

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 3

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG EFFECT ON FOLLOWUP B.P., UNADJUSTED

08:01 Monday, April 19, 2004

The GLM Procedure

Class LevelInformation

Class Levels Values

DRUG 4 1 2 3 4

Number of observations 58

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 4

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG EFFECT ON FOLLOWUP B.P., UNADJUSTED

08:01 Monday, April 19, 2004

The GLM Procedure

Dependent Variable: FSBP

Source DFSum of

Squares Mean Square F Value Pr > F

Model 3 9895.46897 3298.48966 6.98 0.0005

Error 54 25502.60000 472.27037

Corrected Total 57 35398.06897

R-Square Coeff Var Root MSE FSBP Mean

0.279548 16.79248 21.73178 129.4138

Source DF Type III SS Mean Square F Value Pr > F

DRUG 3 9895.468966 3298.489655 6.98 0.0005

Parameter EstimateStandard

Error t Value Pr > |t|

Intercept 115.5000000 B 5.43294562 21.26 <.0001

DRUG 1 29.2333333 B 7.81035143 3.74 0.0004

DRUG 2 23.5000000 B 7.81035143 3.01 0.0040

DRUG 3 1.3333333 B 8.29896152 0.16 0.8730

DRUG 4 0.0000000 B . . .

NOTE: The X'X matrix has been found to be singular, and a generalized inverse was used to solve the normal equations. Terms whoseestimates are followed by the letter 'B' are not uniquely estimable.

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 5

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG EFFECT ON FOLLOWUP B.P., UNADJUSTED

08:01 Monday, April 19, 2004

The GLM ProcedureLeast Squares Means

DRUG FSBP LSMEANStandard

Error Pr > |t|LSMEAN

Number

1 144.733333 5.611122 <.0001 1

2 139.000000 5.611122 <.0001 2

3 116.833333 6.273425 <.0001 3

4 115.500000 5.432946 <.0001 4

Least Squares Means for effect DRUGPr > |t| for H0: LSMean(i)=LSMean(j)

Dependent Variable: FSBP

i/j 1 2 3 4

1 0.4731 0.0016 0.0004

2 0.4731 0.0110 0.0040

3 0.0016 0.0110 0.8730

4 0.0004 0.0040 0.8730

NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used.

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 6

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEREGRESSION OF FOLLOWUP ON BASELINE 08:01 Monday, April 19, 2004

The GLM Procedure

Number of observations 58

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 7

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEREGRESSION OF FOLLOWUP ON BASELINE 08:01 Monday, April 19, 2004

The GLM Procedure

Dependent Variable: FSBP

Source DFSum of

Squares Mean Square F Value Pr > F

Model 1 30786.10565 30786.10565 373.82 <.0001

Error 56 4611.96332 82.35649

Corrected Total 57 35398.06897

R-Square Coeff Var Root MSE FSBP Mean

0.869711 7.012427 9.075048 129.4138

Source DF Type I SS Mean Square F Value Pr > F

BSBP 1 30786.10565 30786.10565 373.82 <.0001

Source DF Type III SS Mean Square F Value Pr > F

BSBP 1 30786.10565 30786.10565 373.82 <.0001

Parameter EstimateStandard

Error t Value Pr > |t|

Intercept -52.35507204 9.47658426 -5.52 <.0001

BSBP 1.64445394 0.08505371 19.33 <.0001

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 8

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG EFFECT ON Baseline B.P. 08:01 Monday, April 19, 2004

The GLM Procedure

Class LevelInformation

Class Levels Values

DRUG 4 1 2 3 4

Number of observations 58

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 9

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG EFFECT ON Baseline B.P. 08:01 Monday, April 19, 2004

The GLM Procedure

Dependent Variable: BSBP

Source DFSum of

Squares Mean Square F Value Pr > F

Model 3 2358.44770 786.14923 4.70 0.0055

Error 54 9025.98333 167.14784

Corrected Total 57 11384.43103

R-Square Coeff Var Root MSE BSBP Mean

0.207164 11.69641 12.92857 110.5345

Source DF Type III SS Mean Square F Value Pr > F

DRUG 3 2358.447701 786.149234 4.70 0.0055

Parameter EstimateStandard

Error t Value Pr > |t|

Intercept 102.0000000 B 3.23214170 31.56 <.0001

DRUG 1 16.6666667 B 4.64649645 3.59 0.0007

DRUG 2 11.4666667 B 4.64649645 2.47 0.0168

DRUG 3 6.0833333 B 4.93717800 1.23 0.2232

DRUG 4 0.0000000 B . . .

NOTE: The X'X matrix has been found to be singular, and a generalized inverse was used to solve the normal equations. Terms whoseestimates are followed by the letter 'B' are not uniquely estimable.

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 10

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG EFFECT ON Baseline B.P. 08:01 Monday, April 19, 2004

The GLM ProcedureLeast Squares Means

DRUG BSBP LSMEANStandard

Error Pr > |t|LSMEAN

Number

1 118.666667 3.338142 <.0001 1

2 113.466667 3.338142 <.0001 2

3 108.083333 3.732156 <.0001 3

4 102.000000 3.232142 <.0001 4

Least Squares Means for effect DRUGPr > |t| for H0: LSMean(i)=LSMean(j)

Dependent Variable: BSBP

i/j 1 2 3 4

1 0.2756 0.0392 0.0007

2 0.2756 0.2871 0.0168

3 0.0392 0.2871 0.2232

4 0.0007 0.0168 0.2232

NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used.

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 11

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG EFFECT ON FOLLOWUP B.P., ADJUSTED FOR BASELINE B.P.

08:01 Monday, April 19, 2004

The GLM Procedure

Class LevelInformation

Class Levels Values

DRUG 4 1 2 3 4

Number of observations 58

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 12

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG EFFECT ON FOLLOWUP B.P., ADJUSTED FOR BASELINE B.P.

08:01 Monday, April 19, 2004

The GLM Procedure

Dependent Variable: FSBP

Source DFSum of

Squares Mean Square F Value Pr > F

Model 4 32112.35031 8028.08758 129.50 <.0001

Error 53 3285.71866 61.99469

Corrected Total 57 35398.06897

R-Square Coeff Var Root MSE FSBP Mean

0.907178 6.084105 7.873671 129.4138

Source DF Type III SS Mean Square F Value Pr > F

DRUG 3 1326.24466 442.08155 7.13 0.0004

BSBP 1 22216.88134 22216.88134 358.37 <.0001

Parameter EstimateStandard

Error t Value Pr > |t|

Intercept -44.52743930 B 8.67952910 -5.13 <.0001

DRUG 1 3.08505894 B 3.14889757 0.98 0.3317

DRUG 2 5.50998722 B 2.98508703 1.85 0.0705

DRUG 3 -8.21078682 B 3.04878232 -2.69 0.0095

DRUG 4 0.00000000 B . . .

BSBP 1.56889646 0.08287623 18.93 <.0001

NOTE: The X'X matrix has been found to be singular, and a generalized inverse was used to solve the normal equations. Terms whoseestimates are followed by the letter 'B' are not uniquely estimable.

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 13

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG EFFECT ON FOLLOWUP B.P., ADJUSTED FOR BASELINE B.P.

08:01 Monday, April 19, 2004

The GLM ProcedureLeast Squares Means

Coefficients for DRUG Least Square Means

DRUG Level

Effect 1 2 3 4

Intercept 1 1 1 1

DRUG 1 1 0 0 0

DRUG 2 0 1 0 0

DRUG 3 0 0 1 0

DRUG 4 0 0 0 1

BSBP 110.534483 110.534483 110.534483 110.534483

DRUG FSBP LSMEANStandard

Error Pr > |t|LSMEAN

Number

1 131.974779 2.141777 <.0001 1

2 134.399707 2.047445 <.0001 2

3 120.678933 2.281993 <.0001 3

4 128.889720 2.091638 <.0001 4

Least Squares Means for effect DRUGPr > |t| for H0: LSMean(i)=LSMean(j)

Dependent Variable: FSBP

i/j 1 2 3 4

1 0.4080 0.0008 0.3317

2 0.4080 <.0001 0.0705

3 0.0008 <.0001 0.0095

4 0.3317 0.0705 0.0095

NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used.

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 14

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG BY DISEASE EFFECTS ON FOLLOWUP B.P., UNADJUSTED

08:01 Monday, April 19, 2004

The GLM Procedure

Class Level Information

Class Levels Values

DRUG 4 1 2 3 4

DISEASE 3 1 2 3

Number of observations 58

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 15

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG BY DISEASE EFFECTS ON FOLLOWUP B.P., UNADJUSTED

08:01 Monday, April 19, 2004

The GLM Procedure

Dependent Variable: FSBP

Source DFSum of

Squares Mean Square F Value Pr > F

Model 11 15468.63563 1406.23960 3.25 0.0024

Error 46 19929.43333 433.24855

Corrected Total 57 35398.06897

R-Square Coeff Var Root MSE FSBP Mean

0.436991 16.08378 20.81462 129.4138

Source DF Type III SS Mean Square F Value Pr > F

DRUG 3 10191.88576 3397.29525 7.84 0.0002

DISEASE 2 2181.69748 1090.84874 2.52 0.0917

DRUG*DISEASE 6 3018.68300 503.11383 1.16 0.3434

Parameter EstimateStandard

Error t Value Pr > |t|

Intercept 114.6000000 B 9.30858261 12.31 <.0001

DRUG 1 17.8000000 B 13.16432377 1.35 0.1829

DRUG 2 4.2333333 B 12.60388043 0.34 0.7385

DRUG 3 3.9000000 B 13.96287391 0.28 0.7813

DRUG 4 0.0000000 B . . .

DISEASE 1 4.2000000 B 13.16432377 0.32 0.7511

DISEASE 2 -1.1000000 B 12.60388043 -0.09 0.9308

DISEASE 3 0.0000000 B . . .

DRUG*DISEASE 1 1 14.9000000 B 18.22518099 0.82 0.4178

DRUG*DISEASE 1 2 18.7000000 B 18.81009436 0.99 0.3254

DRUG*DISEASE 1 3 0.0000000 B . . .

DRUG*DISEASE 2 1 25.3666667 B 18.22518099 1.39 0.1707

DRUG*DISEASE 2 2 39.7666667 B 18.42221570 2.16 0.0361

DRUG*DISEASE 2 3 0.0000000 B . . .

DRUG*DISEASE 3 1 -2.7000000 B 20.64043947 -0.13 0.8965

DRUG*DISEASE 3 2 -3.8000000 B 18.81009436 -0.20 0.8408

DRUG*DISEASE 3 3 0.0000000 B . . .

DRUG*DISEASE 4 1 0.0000000 B . . .

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 16

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG BY DISEASE EFFECTS ON FOLLOWUP B.P., UNADJUSTED

08:01 Monday, April 19, 2004

The GLM ProcedureDependent Variable: FSBP

Parameter EstimateStandard

Error t Value Pr > |t|

DRUG*DISEASE 4 2 0.0000000 B . . .

DRUG*DISEASE 4 3 0.0000000 B . . .

NOTE: The X'X matrix has been found to be singular, and a generalized inverse was used to solve the normal equations. Terms whoseestimates are followed by the letter 'B' are not uniquely estimable.

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 17

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG BY DISEASE EFFECTS ON FOLLOWUP B.P., UNADJUSTED

08:01 Monday, April 19, 2004

The GLM ProcedureLeast Squares Means

DRUG FSBP LSMEANStandard

Error Pr > |t|LSMEAN

Number

1 144.633333 5.448445 <.0001 1

2 141.577778 5.448445 <.0001 2

3 117.366667 6.140739 <.0001 3

4 115.633333 5.222893 <.0001 4

Least Squares Means for effect DRUGPr > |t| for H0: LSMean(i)=LSMean(j)

Dependent Variable: FSBP

i/j 1 2 3 4

1 0.6935 0.0018 0.0004

2 0.6935 0.0050 0.0013

3 0.0018 0.0050 0.8307

4 0.0004 0.0013 0.8307

NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used.

DISEASE FSBP LSMEANStandard

Error Pr > |t|LSMEAN

Number

1 134.675000 4.936621 <.0001 1

2 133.650000 4.844340 <.0001 2

3 121.083333 4.702524 <.0001 3

Least Squares Means for effect DISEASEPr > |t| for H0: LSMean(i)=LSMean(j)

Dependent Variable: FSBP

i/j 1 2 3

1 0.8828 0.0522

2 0.8828 0.0691

3 0.0522 0.0691

NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used.

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 18

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG BY DISEASE EFFECTS ON FOLLOWUP B.P., UNADJUSTED

08:01 Monday, April 19, 2004

The GLM ProcedureLeast Squares Means

DRUG DISEASE FSBP LSMEANStandard

Error Pr > |t|LSMEAN

Number

1 1 151.500000 8.497534 <.0001 1

1 2 150.000000 10.407312 <.0001 2

1 3 132.400000 9.308583 <.0001 3

2 1 148.400000 9.308583 <.0001 4

2 2 157.500000 10.407312 <.0001 5

2 3 118.833333 8.497534 <.0001 6

3 1 120.000000 12.017328 <.0001 7

3 2 113.600000 9.308583 <.0001 8

3 3 118.500000 10.407312 <.0001 9

4 1 118.800000 9.308583 <.0001 10

4 2 113.500000 8.497534 <.0001 11

4 3 114.600000 9.308583 <.0001 12

Least Squares Means for effect DRUG*DISEASEPr > |t| for H0: LSMean(i)=LSMean(j)

Dependent Variable: FSBP

i/j 1 2 3 4 5 6 7 8 9 10 11 12

1 0.9116 0.1365 0.8068 0.6573 0.0092 0.0377 0.0043 0.0179 0.0127 0.0028 0.0053

2 0.9116 0.2139 0.9093 0.6128 0.0249 0.0655 0.0123 0.0377 0.0304 0.0093 0.0147

3 0.1365 0.2139 0.2304 0.0788 0.2874 0.4189 0.1600 0.3247 0.3070 0.1406 0.1829

4 0.8068 0.9093 0.2304 0.5178 0.0234 0.0681 0.0112 0.0376 0.0294 0.0081 0.0136

5 0.6573 0.6128 0.0788 0.5178 0.0061 0.0226 0.0029 0.0110 0.0080 0.0020 0.0036

6 0.0092 0.0249 0.2874 0.0234 0.0061 0.9372 0.6799 0.9803 0.9979 0.6593 0.7385

7 0.0377 0.0655 0.4189 0.0681 0.0226 0.9372 0.6757 0.9252 0.9374 0.6608 0.7240

8 0.0043 0.0123 0.1600 0.0112 0.0029 0.6799 0.6757 0.7272 0.6947 0.9937 0.9398

9 0.0179 0.0377 0.3247 0.0376 0.0110 0.9803 0.9252 0.7272 0.9830 0.7115 0.7813

10 0.0127 0.0304 0.3070 0.0294 0.0080 0.9979 0.9374 0.6947 0.9830 0.6761 0.7511

11 0.0028 0.0093 0.1406 0.0081 0.0020 0.6593 0.6608 0.9937 0.7115 0.6761 0.9308

12 0.0053 0.0147 0.1829 0.0136 0.0036 0.7385 0.7240 0.9398 0.7813 0.7511 0.9308

NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used.

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 19

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG BY DISEASE DIFFERENCES IN BASELINE B.P.

08:01 Monday, April 19, 2004

The GLM Procedure

Class Level Information

Class Levels Values

DRUG 4 1 2 3 4

DISEASE 3 1 2 3

Number of observations 58

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 20

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG BY DISEASE DIFFERENCES IN BASELINE B.P.

08:01 Monday, April 19, 2004

The GLM Procedure

Dependent Variable: BSBP

Source DFSum of

Squares Mean Square F Value Pr > F

Model 11 4513.51437 410.31949 2.75 0.0081

Error 46 6870.91667 149.36775

Corrected Total 57 11384.43103

R-Square Coeff Var Root MSE BSBP Mean

0.396464 11.05683 12.22161 110.5345

Source DF Type III SS Mean Square F Value Pr > F

DRUG 3 2478.198048 826.066016 5.53 0.0025

DISEASE 2 749.163007 374.581504 2.51 0.0925

DRUG*DISEASE 6 1218.234164 203.039027 1.36 0.2511

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 21

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG BY DISEASE DIFFERENCES IN BASELINE B.P.

08:01 Monday, April 19, 2004

The GLM ProcedureLeast Squares Means

DRUG BSBP LSMEANStandard

Error Pr > |t|LSMEAN

Number

1 118.638889 3.199134 <.0001 1

2 115.022222 3.199134 <.0001 2

3 107.622222 3.605624 <.0001 3

4 102.088889 3.066698 <.0001 4

Least Squares Means for effect DRUGPr > |t| for H0: LSMean(i)=LSMean(j)

Dependent Variable: BSBP

i/j 1 2 3 4

1 0.4282 0.0269 0.0005

2 0.4282 0.1316 0.0054

3 0.0269 0.1316 0.2484

4 0.0005 0.0054 0.2484

NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used.

DISEASE BSBP LSMEANStandard

Error Pr > |t|LSMEAN

Number

1 112.858333 2.898609 <.0001 1

2 113.904167 2.844425 <.0001 2

3 105.766667 2.761155 <.0001 3

Least Squares Means for effect DISEASEPr > |t| for H0: LSMean(i)=LSMean(j)

Dependent Variable: BSBP

i/j 1 2 3

1 0.7979 0.0831

2 0.7979 0.0458

3 0.0831 0.0458

NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used.

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 22

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG BY DISEASE DIFFERENCES IN BASELINE B.P.

08:01 Monday, April 19, 2004

The GLM ProcedureLeast Squares Means

DRUG DISEASE BSBP LSMEANStandard

Error Pr > |t|LSMEAN

Number

1 1 122.166667 4.989451 <.0001 1

1 2 121.750000 6.110805 <.0001 2

1 3 112.000000 5.465670 <.0001 3

2 1 120.400000 5.465670 <.0001 4

2 2 124.000000 6.110805 <.0001 5

2 3 100.666667 4.989451 <.0001 6

3 1 103.666667 7.056150 <.0001 7

3 2 109.200000 5.465670 <.0001 8

3 3 110.000000 6.110805 <.0001 9

4 1 105.200000 5.465670 <.0001 10

4 2 100.666667 4.989451 <.0001 11

4 3 100.400000 5.465670 <.0001 12

Least Squares Means for effect DRUG*DISEASEPr > |t| for H0: LSMean(i)=LSMean(j)

Dependent Variable: BSBP

i/j 1 2 3 4 5 6 7 8 9 10 11 12

1 0.9581 0.1762 0.8124 0.8173 0.0038 0.0376 0.0864 0.1299 0.0265 0.0038 0.0051

2 0.9581 0.2404 0.8699 0.7958 0.0104 0.0589 0.1327 0.1806 0.0494 0.0104 0.0124

3 0.1762 0.2404 0.2828 0.1501 0.1325 0.3554 0.7188 0.8084 0.3836 0.1325 0.1403

4 0.8124 0.8699 0.2828 0.6626 0.0105 0.0672 0.1541 0.2110 0.0553 0.0105 0.0129

5 0.8173 0.7958 0.1501 0.6626 0.0049 0.0345 0.0776 0.1121 0.0265 0.0049 0.0060

6 0.0038 0.0104 0.1325 0.0105 0.0049 0.7301 0.2548 0.2429 0.5432 1.0000 0.9714

7 0.0376 0.0589 0.3554 0.0672 0.0345 0.7301 0.5383 0.5009 0.8644 0.7301 0.7160

8 0.0864 0.1327 0.7188 0.1541 0.0776 0.2548 0.5383 0.9227 0.6073 0.2548 0.2608

9 0.1299 0.1806 0.8084 0.2110 0.1121 0.2429 0.5009 0.9227 0.5611 0.2429 0.2477

10 0.0265 0.0494 0.3836 0.0553 0.0265 0.5432 0.8644 0.6073 0.5611 0.5432 0.5377

11 0.0038 0.0104 0.1325 0.0105 0.0049 1.0000 0.7301 0.2548 0.2429 0.5432 0.9714

12 0.0051 0.0124 0.1403 0.0129 0.0060 0.9714 0.7160 0.2608 0.2477 0.5377 0.9714

NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used.

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 23

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG BY DISEASE EFFECTS ON FOLLOWUP B.P., ADJUSTED FOR BSBP

08:01 Monday, April 19, 2004

The GLM Procedure

Class Level Information

Class Levels Values

DRUG 4 1 2 3 4

DISEASE 3 1 2 3

Number of observations 58

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 24

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG BY DISEASE EFFECTS ON FOLLOWUP B.P., ADJUSTED FOR BSBP

08:01 Monday, April 19, 2004

The GLM Procedure

Dependent Variable: FSBP

Source DFSum of

Squares Mean Square F Value Pr > F

Model 12 32632.94394 2719.41200 44.26 <.0001

Error 45 2765.12502 61.44722

Corrected Total 57 35398.06897

R-Square Coeff Var Root MSE FSBP Mean

0.921885 6.057181 7.838828 129.4138

Source DF Type III SS Mean Square F Value Pr > F

DRUG 3 1004.31971 334.77324 5.45 0.0028

DISEASE 2 77.44095 38.72047 0.63 0.5371

DRUG*DISEASE 6 480.01760 80.00293 1.30 0.2759

BSBP 1 17164.30831 17164.30831 279.33 <.0001

Parameter EstimateStandard

Error t Value Pr > |t|

Intercept -44.08633346 B 10.12112729 -4.36 <.0001

DRUG 1 -0.53427757 B 5.07762456 -0.11 0.9167

DRUG 2 3.81185569 B 4.74671300 0.80 0.4262

DRUG 3 -11.27319523 B 5.33623888 -2.11 0.0402

DRUG 4 0.00000000 B . . .

DISEASE 1 -3.38659762 B 4.97844733 -0.68 0.4998

DISEASE 2 -1.52147765 B 4.74671300 -0.32 0.7500

DISEASE 3 0.00000000 B . . .

DRUG*DISEASE 1 1 6.41776239 B 6.88237665 0.93 0.3561

DRUG*DISEASE 1 2 3.71120124 B 7.14046097 0.52 0.6058

DRUG*DISEASE 1 3 0.00000000 B . . .

DRUG*DISEASE 2 1 1.76391853 B 7.00741651 0.25 0.8024

DRUG*DISEASE 2 2 3.30885035 B 7.27268983 0.45 0.6513

DRUG*DISEASE 2 3 0.00000000 B . . .

DRUG*DISEASE 3 1 14.89669169 B 7.84420858 1.90 0.0640

DRUG*DISEASE 3 2 -2.11408942 B 7.08463646 -0.30 0.7668

DRUG*DISEASE 3 3 0.00000000 B . . .

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 25

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG BY DISEASE EFFECTS ON FOLLOWUP B.P., ADJUSTED FOR BSBP

08:01 Monday, April 19, 2004

The GLM ProcedureDependent Variable: FSBP

Parameter EstimateStandard

Error t Value Pr > |t|

DRUG*DISEASE 4 1 0.00000000 B . . .

DRUG*DISEASE 4 2 0.00000000 B . . .

DRUG*DISEASE 4 3 0.00000000 B . . .

BSBP 1.58054117 0.09456791 16.71 <.0001

NOTE: The X'X matrix has been found to be singular, and a generalized inverse was used to solve the normal equations. Terms whoseestimates are followed by the letter 'B' are not uniquely estimable.

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 26

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG BY DISEASE EFFECTS ON FOLLOWUP B.P., ADJUSTED FOR BSBP

08:01 Monday, April 19, 2004

The GLM ProcedureLeast Squares Means

DRUG FSBP LSMEANStandard

Error Pr > |t|LSMEAN

Number

1 131.823986 2.190358 <.0001 1

2 134.484721 2.095324 <.0001 2

3 121.969614 2.328955 <.0001 3

4 128.981942 2.122921 <.0001 4

Least Squares Means for effect DRUGPr > |t| for H0: LSMean(i)=LSMean(j)

Dependent Variable: FSBP

i/j 1 2 3 4

1 0.3673 0.0042 0.3857

2 0.3673 0.0003 0.0821

3 0.0042 0.0003 0.0276

4 0.3857 0.0821 0.0276

NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used.

DISEASE FSBP LSMEANStandard

Error Pr > |t|LSMEAN

Number

1 131.002058 1.872085 <.0001 1

2 128.324076 1.852009 <.0001 2

3 128.619063 1.827475 <.0001 3

Least Squares Means for effect DISEASEPr > |t| for H0: LSMean(i)=LSMean(j)

Dependent Variable: FSBP

i/j 1 2 3

1 0.3097 0.3740

2 0.3097 0.9121

3 0.3740 0.9121

NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used.

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 27

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG BY DISEASE EFFECTS ON FOLLOWUP B.P., ADJUSTED FOR BSBP

08:01 Monday, April 19, 2004

The GLM ProcedureLeast Squares Means

DRUG DISEASE FSBP LSMEANStandard

Error Pr > |t|LSMEAN

Number

1 1 133.114854 3.383973 <.0001 1

1 2 132.273413 4.060386 <.0001 2

1 3 130.083690 3.508369 <.0001 3

2 1 132.807144 3.627652 <.0001 4

2 2 136.217196 4.121088 <.0001 5

2 3 134.429823 3.333471 <.0001 6

3 1 130.854866 4.572114 <.0001 7

3 2 115.709205 3.507901 <.0001 8

3 3 119.344772 3.919740 <.0001 9

4 1 127.231370 3.541742 <.0001 10

4 2 129.096490 3.333471 <.0001 11

4 3 130.617967 3.634277 <.0001 12

Least Squares Means for effect DRUG*DISEASEPr > |t| for H0: LSMean(i)=LSMean(j)

Dependent Variable: FSBP

i/j 1 2 3 4 5 6 7 8 9 10 11 12

1 0.8687 0.5346 0.9486 0.5431 0.7922 0.6992 0.0009 0.0110 0.2465 0.4223 0.6317

2 0.8687 0.6836 0.9196 0.4808 0.6936 0.8208 0.0036 0.0270 0.3630 0.5620 0.7702

3 0.5346 0.6836 0.5902 0.2603 0.3765 0.8944 0.0058 0.0472 0.5711 0.8402 0.9167

4 0.9486 0.9196 0.5902 0.5208 0.7518 0.7439 0.0015 0.0155 0.2858 0.4707 0.6819

5 0.5431 0.4808 0.2603 0.5208 0.7476 0.3983 0.0005 0.0049 0.1125 0.2037 0.3322

6 0.7922 0.6936 0.3765 0.7518 0.7476 0.5228 0.0003 0.0052 0.1379 0.2448 0.4262

7 0.6992 0.8208 0.8944 0.7439 0.3983 0.5228 0.0115 0.0621 0.5301 0.7528 0.9672

8 0.0009 0.0036 0.0058 0.0015 0.0005 0.0003 0.0115 0.4929 0.0251 0.0079 0.0048

9 0.0110 0.0270 0.0472 0.0155 0.0049 0.0052 0.0621 0.4929 0.1421 0.0640 0.0402

10 0.2465 0.3630 0.5711 0.2858 0.1125 0.1379 0.5301 0.0251 0.1421 0.6974 0.4998

11 0.4223 0.5620 0.8402 0.4707 0.2037 0.2448 0.7528 0.0079 0.0640 0.6974 0.7500

12 0.6317 0.7702 0.9167 0.6819 0.3322 0.4262 0.9672 0.0048 0.0402 0.4998 0.7500

NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used.

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 28

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEREGRESSION OF CHANGE ON BASELINE 08:01 Monday, April 19, 2004

The GLM Procedure

Number of observations 58

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 29

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEREGRESSION OF CHANGE ON BASELINE 08:01 Monday, April 19, 2004

The GLM Procedure

Dependent Variable: ISBP

Source DFSum of

Squares Mean Square F Value Pr > F

Model 1 4728.191853 4728.191853 57.41 <.0001

Error 56 4611.963320 82.356488

Corrected Total 57 9340.155172

R-Square Coeff Var Root MSE ISBP Mean

0.506222 48.06874 9.075048 18.87931

Source DF Type I SS Mean Square F Value Pr > F

BSBP 1 4728.191853 4728.191853 57.41 <.0001

Source DF Type III SS Mean Square F Value Pr > F

BSBP 1 4728.191853 4728.191853 57.41 <.0001

Parameter EstimateStandard

Error t Value Pr > |t|

Intercept -52.35507204 9.47658426 -5.52 <.0001

BSBP 0.64445394 0.08505371 7.58 <.0001

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 30

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG BY DISEASE EFFECTS ON CHANGE IN B.P., UNADJUSTED

08:01 Monday, April 19, 2004

The GLM Procedure

Class Level Information

Class Levels Values

DRUG 4 1 2 3 4

DISEASE 3 1 2 3

Number of observations 58

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 31

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG BY DISEASE EFFECTS ON CHANGE IN B.P., UNADJUSTED

08:01 Monday, April 19, 2004

The GLM Procedure

Dependent Variable: ISBP

Source DFSum of

Squares Mean Square F Value Pr > F

Model 11 4259.338506 387.212591 3.51 0.0013

Error 46 5080.816667 110.452536

Corrected Total 57 9340.155172

R-Square Coeff Var Root MSE ISBP Mean

0.456024 55.66750 10.50964 18.87931

Source DF Type III SS Mean Square F Value Pr > F

DRUG 3 2997.471860 999.157287 9.05 <.0001

DISEASE 2 415.873046 207.936523 1.88 0.1637

DRUG*DISEASE 6 707.266259 117.877710 1.07 0.3958

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 32

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG BY DISEASE EFFECTS ON CHANGE IN B.P., UNADJUSTED

08:01 Monday, April 19, 2004

The GLM ProcedureLeast Squares Means

DRUG ISBP LSMEANStandard

Error Pr > |t|LSMEAN

Number

1 25.9944444 2.7510078 <.0001 1

2 26.5555556 2.7510078 <.0001 2

3 9.7444444 3.1005583 0.0029 3

4 13.5444444 2.6371232 <.0001 4

Least Squares Means for effect DRUGPr > |t| for H0: LSMean(i)=LSMean(j)

Dependent Variable: ISBP

i/j 1 2 3 4

1 0.8860 0.0003 0.0021

2 0.8860 0.0002 0.0013

3 0.0003 0.0002 0.3554

4 0.0021 0.0013 0.3554

NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used.

DISEASE ISBP LSMEANStandard

Error Pr > |t|LSMEAN

Number

1 21.8166667 2.4925800 <.0001 1

2 19.7458333 2.4459856 <.0001 2

3 15.3166667 2.3743802 <.0001 3

Least Squares Means for effect DISEASEPr > |t| for H0: LSMean(i)=LSMean(j)

Dependent Variable: ISBP

i/j 1 2 3

1 0.5561 0.0653

2 0.5561 0.2003

3 0.0653 0.2003

NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used.

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 33

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG BY DISEASE EFFECTS ON CHANGE IN B.P., UNADJUSTED

08:01 Monday, April 19, 2004

The GLM ProcedureLeast Squares Means

DRUG DISEASE ISBP LSMEANStandard

Error Pr > |t|LSMEAN

Number

1 1 29.3333333 4.2905426 <.0001 1

1 2 28.2500000 5.2548201 <.0001 2

1 3 20.4000000 4.7000540 <.0001 3

2 1 28.0000000 4.7000540 <.0001 4

2 2 33.5000000 5.2548201 <.0001 5

2 3 18.1666667 4.2905426 0.0001 6

3 1 16.3333333 6.0677436 0.0099 7

3 2 4.4000000 4.7000540 0.3541 8

3 3 8.5000000 5.2548201 0.1126 9

4 1 13.6000000 4.7000540 0.0058 10

4 2 12.8333333 4.2905426 0.0045 11

4 3 14.2000000 4.7000540 0.0041 12

Least Squares Means for effect DRUG*DISEASEPr > |t| for H0: LSMean(i)=LSMean(j)

Dependent Variable: ISBP

i/j 1 2 3 4 5 6 7 8 9 10 11 12

1 0.8738 0.1671 0.8350 0.5421 0.0722 0.0869 0.0003 0.0036 0.0172 0.0092 0.0216

2 0.8738 0.2713 0.9719 0.4835 0.1440 0.1445 0.0015 0.0108 0.0433 0.0278 0.0522

3 0.1671 0.2713 0.2588 0.0696 0.7272 0.5988 0.0201 0.0982 0.3116 0.2405 0.3558

4 0.8350 0.9719 0.2588 0.4393 0.1292 0.1353 0.0009 0.0081 0.0355 0.0213 0.0435

5 0.5421 0.4835 0.0696 0.4393 0.0286 0.0378 0.0002 0.0016 0.0070 0.0038 0.0088

6 0.0722 0.1440 0.7272 0.1292 0.0286 0.8062 0.0358 0.1609 0.4766 0.3840 0.5362

7 0.0869 0.1445 0.5988 0.1353 0.0378 0.8062 0.1268 0.3342 0.7234 0.6399 0.7823

8 0.0003 0.0015 0.0201 0.0009 0.0002 0.0358 0.1268 0.5637 0.1730 0.1917 0.1472

9 0.0036 0.0108 0.0982 0.0081 0.0016 0.1609 0.3342 0.5637 0.4731 0.5261 0.4230

10 0.0172 0.0433 0.3116 0.0355 0.0070 0.4766 0.7234 0.1730 0.4731 0.9046 0.9285

11 0.0092 0.0278 0.2405 0.0213 0.0038 0.3840 0.6399 0.1917 0.5261 0.9046 0.8309

12 0.0216 0.0522 0.3558 0.0435 0.0088 0.5362 0.7823 0.1472 0.4230 0.9285 0.8309

NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used.

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 34

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG BY DISEASE EFFECTS ON CHANGE IN B.P., ADJUSTED FOR BSBP

08:01 Monday, April 19, 2004

The GLM Procedure

Class Level Information

Class Levels Values

DRUG 4 1 2 3 4

DISEASE 3 1 2 3

Number of observations 58

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 35

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG BY DISEASE EFFECTS ON CHANGE IN B.P., ADJUSTED FOR BSBP

08:01 Monday, April 19, 2004

The GLM Procedure

Dependent Variable: ISBP

Source DFSum of

Squares Mean Square F Value Pr > F

Model 12 6575.030151 547.919179 8.92 <.0001

Error 45 2765.125021 61.447223

Corrected Total 57 9340.155172

R-Square Coeff Var Root MSE ISBP Mean

0.703953 41.52073 7.838828 18.87931

Source DF Type III SS Mean Square F Value Pr > F

DRUG 3 1004.319714 334.773238 5.45 0.0028

DISEASE 2 77.440949 38.720474 0.63 0.5371

DRUG*DISEASE 6 480.017598 80.002933 1.30 0.2759

BSBP 1 2315.691646 2315.691646 37.69 <.0001

Parameter EstimateStandard

Error t Value Pr > |t|

Intercept -44.08633346 B 10.12112729 -4.36 <.0001

DRUG 1 -0.53427757 B 5.07762456 -0.11 0.9167

DRUG 2 3.81185569 B 4.74671300 0.80 0.4262

DRUG 3 -11.27319523 B 5.33623888 -2.11 0.0402

DRUG 4 0.00000000 B . . .

DISEASE 1 -3.38659762 B 4.97844733 -0.68 0.4998

DISEASE 2 -1.52147765 B 4.74671300 -0.32 0.7500

DISEASE 3 0.00000000 B . . .

DRUG*DISEASE 1 1 6.41776239 B 6.88237665 0.93 0.3561

DRUG*DISEASE 1 2 3.71120124 B 7.14046097 0.52 0.6058

DRUG*DISEASE 1 3 0.00000000 B . . .

DRUG*DISEASE 2 1 1.76391853 B 7.00741651 0.25 0.8024

DRUG*DISEASE 2 2 3.30885035 B 7.27268983 0.45 0.6513

DRUG*DISEASE 2 3 0.00000000 B . . .

DRUG*DISEASE 3 1 14.89669169 B 7.84420858 1.90 0.0640

DRUG*DISEASE 3 2 -2.11408942 B 7.08463646 -0.30 0.7668

DRUG*DISEASE 3 3 0.00000000 B . . .

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 36

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG BY DISEASE EFFECTS ON CHANGE IN B.P., ADJUSTED FOR BSBP

08:01 Monday, April 19, 2004

The GLM ProcedureDependent Variable: ISBP

Parameter EstimateStandard

Error t Value Pr > |t|

DRUG*DISEASE 4 1 0.00000000 B . . .

DRUG*DISEASE 4 2 0.00000000 B . . .

DRUG*DISEASE 4 3 0.00000000 B . . .

BSBP 0.58054117 0.09456791 6.14 <.0001

NOTE: The X'X matrix has been found to be singular, and a generalized inverse was used to solve the normal equations. Terms whoseestimates are followed by the letter 'B' are not uniquely estimable.

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 37

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG BY DISEASE EFFECTS ON CHANGE IN B.P., ADJUSTED FOR BSBP

08:01 Monday, April 19, 2004

The GLM ProcedureLeast Squares Means

DRUG ISBP LSMEANStandard

Error Pr > |t|LSMEAN

Number

1 21.2895030 2.1903578 <.0001 1

2 23.9502380 2.0953245 <.0001 2

3 11.4351316 2.3289553 <.0001 3

4 18.4474594 2.1229207 <.0001 4

Least Squares Means for effect DRUGPr > |t| for H0: LSMean(i)=LSMean(j)

Dependent Variable: ISBP

i/j 1 2 3 4

1 0.3673 0.0042 0.3857

2 0.3673 0.0003 0.0821

3 0.0042 0.0003 0.0276

4 0.3857 0.0821 0.0276

NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used.

DISEASE ISBP LSMEANStandard

Error Pr > |t|LSMEAN

Number

1 20.4675757 1.8720848 <.0001 1

2 17.7895931 1.8520092 <.0001 2

3 18.0845802 1.8274747 <.0001 3

Least Squares Means for effect DISEASEPr > |t| for H0: LSMean(i)=LSMean(j)

Dependent Variable: ISBP

i/j 1 2 3

1 0.3097 0.3740

2 0.3097 0.9121

3 0.3740 0.9121

NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used.

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 38

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEDRUG BY DISEASE EFFECTS ON CHANGE IN B.P., ADJUSTED FOR BSBP

08:01 Monday, April 19, 2004

The GLM ProcedureLeast Squares Means

DRUG DISEASE ISBP LSMEANStandard

Error Pr > |t|LSMEAN

Number

1 1 22.5803717 3.3839729 <.0001 1

1 2 21.7389305 4.0603864 <.0001 2

1 3 19.5492069 3.5083688 <.0001 3

2 1 22.2726611 3.6276523 <.0001 4

2 2 25.6827129 4.1210882 <.0001 5

2 3 23.8953402 3.3334706 <.0001 6

3 1 20.3203833 4.5721139 <.0001 7

3 2 5.1747222 3.5079012 0.1471 8

3 3 8.8102892 3.9197398 0.0295 9

4 1 16.6968869 3.5417419 <.0001 10

4 2 18.5620068 3.3334706 <.0001 11

4 3 20.0834845 3.6342770 <.0001 12

Least Squares Means for effect DRUG*DISEASEPr > |t| for H0: LSMean(i)=LSMean(j)

Dependent Variable: ISBP

i/j 1 2 3 4 5 6 7 8 9 10 11 12

1 0.8687 0.5346 0.9486 0.5431 0.7922 0.6992 0.0009 0.0110 0.2465 0.4223 0.6317

2 0.8687 0.6836 0.9196 0.4808 0.6936 0.8208 0.0036 0.0270 0.3630 0.5620 0.7702

3 0.5346 0.6836 0.5902 0.2603 0.3765 0.8944 0.0058 0.0472 0.5711 0.8402 0.9167

4 0.9486 0.9196 0.5902 0.5208 0.7518 0.7439 0.0015 0.0155 0.2858 0.4707 0.6819

5 0.5431 0.4808 0.2603 0.5208 0.7476 0.3983 0.0005 0.0049 0.1125 0.2037 0.3322

6 0.7922 0.6936 0.3765 0.7518 0.7476 0.5228 0.0003 0.0052 0.1379 0.2448 0.4262

7 0.6992 0.8208 0.8944 0.7439 0.3983 0.5228 0.0115 0.0621 0.5301 0.7528 0.9672

8 0.0009 0.0036 0.0058 0.0015 0.0005 0.0003 0.0115 0.4929 0.0251 0.0079 0.0048

9 0.0110 0.0270 0.0472 0.0155 0.0049 0.0052 0.0621 0.4929 0.1421 0.0640 0.0402

10 0.2465 0.3630 0.5711 0.2858 0.1125 0.1379 0.5301 0.0251 0.1421 0.6974 0.4998

11 0.4223 0.5620 0.8402 0.4707 0.2037 0.2448 0.7528 0.0079 0.0640 0.6974 0.7500

12 0.6317 0.7702 0.9167 0.6819 0.3322 0.4262 0.9672 0.0048 0.0402 0.4998 0.7500

NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used.

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 39

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEASSESSMENT OF DRUG BY BSBP INTERACTION -- TEST OF HOMOGENEITY OF SLOPES

08:01 Monday, April 19, 2004

The GLM Procedure

Class LevelInformation

Class Levels Values

DRUG 4 1 2 3 4

Number of observations 58

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 40

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEASSESSMENT OF DRUG BY BSBP INTERACTION -- TEST OF HOMOGENEITY OF SLOPES

08:01 Monday, April 19, 2004

The GLM Procedure

Dependent Variable: FSBP

Source DFSum of

Squares Mean Square F Value Pr > F

Model 7 32453.95927 4636.27990 78.74 <.0001

Error 50 2944.10969 58.88219

Corrected Total 57 35398.06897

R-Square Coeff Var Root MSE FSBP Mean

0.916829 5.929409 7.673473 129.4138

Source DF Type III SS Mean Square F Value Pr > F

DRUG 3 271.33816 90.44605 1.54 0.2167

BSBP 1 18288.60540 18288.60540 310.60 <.0001

BSBP*DRUG 3 341.60897 113.86966 1.93 0.1361

Parameter EstimateStandard

Error t Value Pr > |t|

Intercept -23.34840426 B 16.58997516 -1.41 0.1655

DRUG 1 -54.31126788 B 26.20952684 -2.07 0.0434

DRUG 2 -18.58725894 B 22.13291416 -0.84 0.4050

DRUG 3 -6.17007090 B 29.73375116 -0.21 0.8365

DRUG 4 0.00000000 B . . .

BSBP 1.36125887 B 0.16155576 8.43 <.0001

BSBP*DRUG 1 0.51283950 B 0.23464594 2.19 0.0336

BSBP*DRUG 2 0.23335626 B 0.20607458 1.13 0.2629

BSBP*DRUG 3 -0.00719433 B 0.27892730 -0.03 0.9795

BSBP*DRUG 4 0.00000000 B . . .

NOTE: The X'X matrix has been found to be singular, and a generalized inverse was used to solve the normal equations. Terms whoseestimates are followed by the letter 'B' are not uniquely estimable.

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 41

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEASSESSMENT OF DRUG EFFECT WITH NESTED SLOPE MODEL

08:01 Monday, April 19, 2004

The GLM Procedure

Class LevelInformation

Class Levels Values

DRUG 4 1 2 3 4

Number of observations 58

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 42

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEASSESSMENT OF DRUG EFFECT WITH NESTED SLOPE MODEL

08:01 Monday, April 19, 2004

The GLM Procedure

Dependent Variable: FSBP

Source DFSum of

Squares Mean Square F Value Pr > F

Model 7 32453.95927 4636.27990 78.74 <.0001

Error 50 2944.10969 58.88219

Corrected Total 57 35398.06897

R-Square Coeff Var Root MSE FSBP Mean

0.916829 5.929409 7.673473 129.4138

Source DF Type III SS Mean Square F Value Pr > F

DRUG 3 271.33816 90.44605 1.54 0.2167

BSBP(DRUG) 4 22558.49031 5639.62258 95.78 <.0001

Parameter EstimateStandard

Error t Value Pr > |t|

Intercept -23.34840426 B 16.58997516 -1.41 0.1655

DRUG 1 -54.31126788 B 26.20952684 -2.07 0.0434

DRUG 2 -18.58725894 B 22.13291416 -0.84 0.4050

DRUG 3 -6.17007090 B 29.73375116 -0.21 0.8365

DRUG 4 0.00000000 B . . .

BSBP(DRUG) 1 1.87409836 0.17017184 11.01 <.0001

BSBP(DRUG) 2 1.59461513 0.12793150 12.46 <.0001

BSBP(DRUG) 3 1.35406454 0.22737673 5.96 <.0001

BSBP(DRUG) 4 1.36125887 0.16155576 8.43 <.0001

NOTE: The X'X matrix has been found to be singular, and a generalized inverse was used to solve the normal equations. Terms whoseestimates are followed by the letter 'B' are not uniquely estimable.

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 43

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEASSESEMENT OF HOMOGENEITY OF SLOPES IN THE COMPLETE DESIGN

08:01 Monday, April 19, 2004

The GLM Procedure

Class Level Information

Class Levels Values

DRUG 4 1 2 3 4

DISEASE 3 1 2 3

Number of observations 58

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 44

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEASSESEMENT OF HOMOGENEITY OF SLOPES IN THE COMPLETE DESIGN

08:01 Monday, April 19, 2004

The GLM Procedure

Dependent Variable: FSBP

Source DFSum of

Squares Mean Square F Value Pr > F

Model 23 33106.78967 1439.42564 21.36 <.0001

Error 34 2291.27930 67.39057

Corrected Total 57 35398.06897

R-Square Coeff Var Root MSE FSBP Mean

0.935271 6.343355 8.209176 129.4138

Source DF Type III SS Mean Square F Value Pr > F

DRUG 3 161.62330 53.87443 0.80 0.5028

DISEASE 2 162.03311 81.01655 1.20 0.3130

DRUG*DISEASE 6 93.94756 15.65793 0.23 0.9631

BSBP 1 11489.86351 11489.86351 170.50 <.0001

BSBP*DRUG*DISEASE 11 473.84572 43.07688 0.64 0.7827

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 45

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEMODEL WITH SEPARATE SLOPES WITHIN CELLS

08:01 Monday, April 19, 2004

The GLM Procedure

Class Level Information

Class Levels Values

DRUG 4 1 2 3 4

DISEASE 3 1 2 3

Number of observations 58

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 46

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEMODEL WITH SEPARATE SLOPES WITHIN CELLS

08:01 Monday, April 19, 2004

The GLM Procedure

Dependent Variable: FSBP

Source DFSum of

Squares Mean Square F Value Pr > F

Model 23 33106.78967 1439.42564 21.36 <.0001

Error 34 2291.27930 67.39057

Corrected Total 57 35398.06897

R-Square Coeff Var Root MSE FSBP Mean

0.935271 6.343355 8.209176 129.4138

Source DF Type III SS Mean Square F Value Pr > F

DRUG 3 161.62330 53.87443 0.80 0.5028

DISEASE 2 162.03311 81.01655 1.20 0.3130

DRUG*DISEASE 6 93.94756 15.65793 0.23 0.9631

BSBP(DRUG*DISEASE) 12 17638.15403 1469.84617 21.81 <.0001

Parameter EstimateStandard

Error t Value Pr > |t|

Intercept -34.40673828 B 29.02948761 -1.19 0.2441

DRUG 1 -66.66088762 B 48.75036454 -1.37 0.1805

DRUG 2 -12.98110670 B 38.15047574 -0.34 0.7358

DRUG 3 -21.98090217 B 56.12558147 -0.39 0.6978

DRUG 4 0.00000000 B . . .

DISEASE 1 0.17891570 B 52.30450371 0.00 0.9973

DISEASE 2 22.56005320 B 39.51441177 0.57 0.5718

DISEASE 3 0.00000000 B . . .

DRUG*DISEASE 1 1 30.89778332 B 73.17430616 0.42 0.6755

DRUG*DISEASE 1 2 31.23429580 B 89.12760257 0.35 0.7282

DRUG*DISEASE 1 3 0.00000000 B . . .

DRUG*DISEASE 2 1 -13.90158646 B 70.69508275 -0.20 0.8453

DRUG*DISEASE 2 2 76.48940794 B 86.16440140 0.89 0.3809

DRUG*DISEASE 2 3 0.00000000 B . . .

DRUG*DISEASE 3 1 -5.67575179 B 94.80203246 -0.06 0.9526

DRUG*DISEASE 3 2 0.21386327 B 73.69675468 0.00 0.9977

DRUG*DISEASE 3 3 0.00000000 B . . .

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 47

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGEMODEL WITH SEPARATE SLOPES WITHIN CELLS

08:01 Monday, April 19, 2004

The GLM ProcedureDependent Variable: FSBP

Parameter EstimateStandard

Error t Value Pr > |t|

DRUG*DISEASE 4 1 0.00000000 B . . .

DRUG*DISEASE 4 2 0.00000000 B . . .

DRUG*DISEASE 4 3 0.00000000 B . . .

BSBP(DRUG*DISEASE) 1 1 1.81302259 0.26820594 6.76 <.0001

BSBP(DRUG*DISEASE) 1 2 1.62031439 0.57092203 2.84 0.0076

BSBP(DRUG*DISEASE) 1 3 2.08453237 0.34814660 5.99 <.0001

BSBP(DRUG*DISEASE) 2 1 1.74012056 0.33592294 5.18 <.0001

BSBP(DRUG*DISEASE) 2 2 0.85353535 0.58340072 1.46 0.1526

BSBP(DRUG*DISEASE) 2 3 1.65120376 0.24363398 6.78 <.0001

BSBP(DRUG*DISEASE) 3 1 1.75451264 0.60409509 2.90 0.0064

BSBP(DRUG*DISEASE) 3 2 1.34811103 0.36041227 3.74 0.0007

BSBP(DRUG*DISEASE) 3 3 1.58988764 0.43508545 3.65 0.0009

BSBP(DRUG*DISEASE) 4 1 1.45463710 0.41211054 3.53 0.0012

BSBP(DRUG*DISEASE) 4 2 1.24516575 0.26421709 4.71 <.0001

BSBP(DRUG*DISEASE) 4 3 1.48413086 0.28681680 5.17 <.0001

NOTE: The X'X matrix has been found to be singular, and a generalized inverse was used to solve the normal equations. Terms whoseestimates are followed by the letter 'B' are not uniquely estimable.

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 48

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGENO INTERACTION MODEL WITH COMMON SLOPE FOR BSBP

08:01 Monday, April 19, 2004

The GLM Procedure

Class Level Information

Class Levels Values

DRUG 4 1 2 3 4

DISEASE 3 1 2 3

Number of observations 58

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 49

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGENO INTERACTION MODEL WITH COMMON SLOPE FOR BSBP

08:01 Monday, April 19, 2004

The GLM Procedure

Dependent Variable: FSBP

Source DFSum of

Squares Mean Square F Value Pr > F

Model 6 32152.92635 5358.82106 84.22 <.0001

Error 51 3245.14262 63.63025

Corrected Total 57 35398.06897

R-Square Coeff Var Root MSE FSBP Mean

0.908324 6.163838 7.976857 129.4138

Source DF Type III SS Mean Square F Value Pr > F

DRUG 3 1263.43283 421.14428 6.62 0.0007

DISEASE 2 40.57604 20.28802 0.32 0.7284

BSBP 1 19702.97372 19702.97372 309.65 <.0001

KUTNER BLOOD PRESSURE DATA -- UNBALANCED DESIGN 50

BSBP = BASELINE, FSBP = FOLLOWUP, ISBP = F - B CHANGENO INTERACTION MODEL WITH COMMON SLOPE FOR BSBP

08:01 Monday, April 19, 2004

The GLM ProcedureLeast Squares Means

DRUG FSBP LSMEANStandard

Error Pr > |t|LSMEAN

Number

1 131.910254 2.188607 <.0001 1

2 134.399091 2.089746 <.0001 2

3 120.822956 2.322981 <.0001 3

4 128.868373 2.140399 <.0001 4

Least Squares Means for effect DRUGPr > |t| for H0: LSMean(i)=LSMean(j)

Dependent Variable: FSBP

i/j 1 2 3 4

1 0.4022 0.0013 0.3525

2 0.4022 <.0001 0.0780

3 0.0013 <.0001 0.0123

4 0.3525 0.0780 0.0123

NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used.

DISEASE FSBP LSMEANStandard

Error Pr > |t|LSMEAN

Number

1 130.189924 1.868146 <.0001 1

2 128.220025 1.855264 <.0001 2

3 128.590556 1.856401 <.0001 3

Least Squares Means for effect DISEASEPr > |t| for H0: LSMean(i)=LSMean(j)

Dependent Variable: FSBP

i/j 1 2 3

1 0.4545 0.5524

2 0.4545 0.8904

3 0.5524 0.8904

NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used.