The GLM
Procedure
Class Level Information
Class
Levels
Values
g
3
1 2 3
Number of Observations Read
15
Number of Observations Used
15
The SAS System
15:06 Thursday, September 8,
2013 2
The GLM
Procedure
Dependent Variable: t0
Sum of
Source
DF
Squares
Mean Square
F Value Pr
> F
Model
2
86.8000000
43.4000000
2.93
0.0919
Error
12
177.6000000
14.8000000
Corrected Total
14
264.4000000
R-Square
Coeff Var
Root MSE
t0 Mean
0.328290
3.132799
3.847077
122.8000
Source
DF
Type I SS
Mean Square F Value
Pr > F
g
2
86.80000000 43.40000000
2.93
0.0919
Source
DF Type III
SS Mean Square
F Value
Pr > F
g
2
86.80000000 43.40000000
2.93
0.0919
The SAS System
15:06 Thursday, September 8,
2013 3
The GLM
Procedure
Dependent Variable: t1
Sum of
Source
DF
Squares
Mean Square
F Value Pr
> F
Model
2
295.6000000
147.8000000
6.03
0.0154
Error
12
294.0000000
24.5000000
Corrected Total
14
589.6000000
R-Square
Coeff Var
Root MSE
t1 Mean
0.501357
4.180530
4.949747
118.4000
Source
DF
Type I SS
Mean Square F Value
Pr > F
g
2
295.6000000 147.8000000
6.03
0.0154
Source
DF Type III
SS Mean Square
F Value
Pr > F
g
2
295.6000000 147.8000000
6.03
0.0154
The SAS System
15:06 Thursday, September 8,
2013 4
The GLM
Procedure
Dependent Variable: t2
Sum of
Source
DF
Squares
Mean Square
F Value Pr
> F
Model
2
0.9333333
0.4666667
0.02
0.9788
Error
12
260.4000000
21.7000000
Corrected Total
14
261.3333333
R-Square
Coeff Var
Root MSE
t2 Mean
0.003571
3.936613
4.658326
118.3333
Source
DF
Type I SS
Mean Square F Value
Pr > F
g
2
0.93333333
0.46666667
0.02
0.9788
Source
DF Type III
SS Mean Square
F Value
Pr > F
g
2
0.93333333
0.46666667
0.02
0.9788
The SAS System
15:06 Thursday, September 8,
2013 5
The GLM
Procedure
Dependent Variable: t3
Sum of
Source
DF
Squares
Mean Square
F Value Pr
> F
Model
2
825.600000
412.800000
17.03
0.0003
Error
12
290.800000
24.233333
Corrected Total
14
1116.400000
R-Square
Coeff Var
Root MSE
t3 Mean
0.739520
3.723704
4.922736
132.2000
Source
DF
Type I SS
Mean Square F Value
Pr > F
g
2
825.6000000 412.8000000
17.03
0.0003
Source
DF Type III
SS Mean Square
F Value
Pr > F
g
2
825.6000000 412.8000000
17.03
0.0003
The SAS System
15:06 Thursday, September 8,
2013 6
The GLM
Procedure
Dependent Variable: t4
Sum of
Source
DF
Squares
Mean Square
F Value Pr
> F
Model
2
540.9333333
270.4666667
17.37
0.0003
Error
12
186.8000000
15.5666667
Corrected Total
14
727.7333333
R-Square
Coeff Var
Root MSE
t4 Mean
0.743313
3.061662
3.945462
128.8667
Source
DF
Type I SS
Mean Square F Value
Pr > F
g
2
540.9333333 270.4666667
17.37
0.0003
Source
DF Type III
SS Mean Square
F Value
Pr > F
g
2
540.9333333 270.4666667
17.37
0.0003
The SAS System
15:06 Thursday, September 8,
2013 7
The GLM
Procedure
Repeated Measures Analysis of Variance
Repeated Measures Level
Information
Dependent
Variable
t0
t1
t2
t3
t4
Level of
time
1
2
3
4
5
MANOVA Test
Criteria and Exact F Statistics for the Hypothesis of no time
Effect
H = Type III SSCP Matrix for
time
E = Error SSCP Matrix
S=1
M=1
N=3.5
Statistic
Value
F Value
Num DF Den
DF Pr > F
Wilks'
Lambda
0.01745414
126.66
4
9
<.0001
Pillai's
Trace
0.98254586
126.66
4
9
<.0001
Hotelling-Lawley Trace
56.29299264
126.66
4
9
<.0001
Roy's
Greatest Root
56.29299264
126.66
4
9
<.0001
MANOVA Test
Criteria and F Approximations for the Hypothesis of no time*g
Effect
H = Type III SSCP Matrix for
time*g
E = Error SSCP Matrix
S=2
M=0.5
N=3.5
Statistic
Value
F Value
Num DF Den
DF Pr > F
Wilks'
Lambda
0.00845847
22.21
8
18
<.0001
Pillai's
Trace
1.80884126
23.66
8
20
<.0001
Hotelling-Lawley Trace
20.59966971
22.13
8
10.78
<.0001
Roy's
Greatest Root
13.37581359
33.44
4
10
<.0001
NOTE: F Statistic for Roy's Greatest Root is an
upper bound.
NOTE: F Statistic for Wilks'
Lambda is exact.
The SAS System
15:06 Thursday, September 8,
2013 8
The GLM
Procedure
Repeated Measures Analysis of Variance
Tests of Hypotheses for
Between Subjects Effects
Source
DF Type III
SS Mean Square
F Value
Pr > F
g
2
912.2400000 456.1200000
5.78
0.0174
Error
12
946.4800000
78.8733333
The SAS System
15:06 Thursday, September 8,
2013 9
The GLM
Procedure
Repeated Measures Analysis of Variance
Univariate Tests of
Hypotheses for Within Subject Effects
Adj Pr >
F
Source
DF
Type III SS
Mean Square F Value
Pr > F
G - G H -
F
time
4
2336.453333
584.113333 106.56
<.0001
<.0001
<.0001
time*g
8
837.626667 104.703333
19.10
<.0001 <.0001
<.0001
Error(time)
48
263.120000
5.481667
Greenhouse-Geisser Epsilon
0.6787
加载中…
(2013-09-08 15:09:56)