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Program
12
TITLE 'Table 12.10-1, p.555 Kirk, SPF-2.22 -- Univariate, 2 versions';
OPTIONS LS=80 NODATE PAGENO=1;
DATA spf2_22;
INPUT a b c s score;
CARDS;
1 1 1 1 3
1 1 1 2 6
1 1 1 3 3
1 1 1 4 3
2 1 1 5 1
2 1 1 6 2
2 1 1 7 2
2 1 1 8 2
1 1 2 1 4
1 1 2 2 5
1 1 2 3 4
1 1 2 4 3
2 1 2 5 2
2 1 2 6 3
2 1 2 7 4
2 1 2 8 3
1 2 1 1 7
1 2 1 2 8
1 2 1 3 7
1 2 1 4 6
2 2 1 5 5
2 2 1 6 6
2 2 1 7 5
2 2 1 8 6
1 2 2 1 7
1 2 2 2 8
1 2 2 3 9
1 2 2 4 8
2 2 2 5 10
2 2 2 6 10
2 2 2 7 9
2 2 2 8 11
;
PROC PRINT;
*This analysis lists all the terms in the model statement*;
PROC GLM DATA=spf2_22;
CLASS a c b s;
MODEL score=a s(a) b a*b b*s(a) c a*c c*s(a) b*c a*b*c b*c*s(a);
TEST H=a E=s(a);
TEST H=b a*b E=b*s(a);
TEST H=c a*c E=c*s(a);
TEST H=b*c a*b*c E=b*c*s(a);
MEANS a /E=s(a) BON;
MEANS b a*b /E=b*s(a) BON;
MEANS c a*c /E=c*s(a) BON;
MEANS b*c a*b*c/E=b*c*s(a) BON;
*This analysis leaves out the last error term from the model statement*;
PROC GLM DATA=spf2_22;
CLASS a c b s;
MODEL score=a s(a) b a*b b*s(a) c a*c c*s(a) b*c a*b*c;
TEST H=a E=s(a);
TEST H=b a*b E=b*s(a);
TEST H=c a*c E=c*s(a);
MEANS a /E=s(a) BON;
MEANS b a*b /E=b*s(a) BON;
MEANS c a*c /E=c*s(a) BON;
MEANS b*c a*b*c/ BON;
RUN;
Table 12.10-1, p.555 Kirk, SPF-2.22 -- Univariate, 2 versions 1
OBS A B C S SCORE
1 1 1 1 1 3
2 1 1 1 2 6
3 1 1 1 3 3
4 1 1 1 4 3
5 2 1 1 5 1
6 2 1 1 6 2
7 2 1 1 7 2
8 2 1 1 8 2
9 1 1 2 1 4
10 1 1 2 2 5
11 1 1 2 3 4
12 1 1 2 4 3
13 2 1 2 5 2
14 2 1 2 6 3
15 2 1 2 7 4
16 2 1 2 8 3
17 1 2 1 1 7
18 1 2 1 2 8
19 1 2 1 3 7
20 1 2 1 4 6
21 2 2 1 5 5
22 2 2 1 6 6
23 2 2 1 7 5
24 2 2 1 8 6
25 1 2 2 1 7
26 1 2 2 2 8
27 1 2 2 3 9
28 1 2 2 4 8
29 2 2 2 5 10
30 2 2 2 6 10
31 2 2 2 7 9
32 2 2 2 8 11
Table 12.10-1, p.555 Kirk, SPF-2.22 -- Univariate, 2 versions 2
General Linear Models Procedure
Class Level Information
Class Levels Values
A 2 1 2
C 2 1 2
B 2 1 2
S 8 1 2 3 4 5 6 7 8
Number of observations in data set = 32
Table 12.10-1, p.555 Kirk, SPF-2.22 -- Univariate, 2 versions 3
Dependent Variable: SCORE
Sum of Mean
Source DF Squares Square F Value Pr > F
Model 31 235.50000000 7.59677419 . .
Error 0 . .
Corrected Total 31 235.50000000
R-Square C.V. Root MSE SCORE Mean
1.000000 0 0 5.3750000
Source DF Type I SS Mean Square F Value Pr > F
A 1 3.12500000 3.12500000 . .
S(A) 6 9.37500000 1.56250000 . .
B 1 162.00000000 162.00000000 . .
A*B 1 6.12500000 6.12500000 . .
B*S(A) 6 4.87500000 0.81250000 . .
C 1 24.50000000 24.50000000 . .
A*C 1 10.12500000 10.12500000 . .
C*S(A) 6 2.37500000 0.39583333 . .
C*B 1 8.00000000 8.00000000 . .
A*C*B 1 3.12500000 3.12500000 . .
C*B*S(A) 6 1.87500000 0.31250000 . .
Source DF Type III SS Mean Square F Value Pr > F
A 1 3.12500000 3.12500000 . .
S(A) 6 9.37500000 1.56250000 . .
B 1 162.00000000 162.00000000 . .
A*B 1 6.12500000 6.12500000 . .
B*S(A) 6 4.87500000 0.81250000 . .
C 1 24.50000000 24.50000000 . .
A*C 1 10.12500000 10.12500000 . .
C*S(A) 6 2.37500000 0.39583333 . .
C*B 1 8.00000000 8.00000000 . .
A*C*B 1 3.12500000 3.12500000 . .
C*B*S(A) 6 1.87500000 0.31250000 . .
Tests of Hypotheses using the Type III MS for S(A) as an error term
Source DF Type III SS Mean Square F Value Pr > F
A 1 3.12500000 3.12500000 2.00 0.2070
Table 12.10-1, p.555 Kirk, SPF-2.22 -- Univariate, 2 versions 4
Dependent Variable: SCORE
Tests of Hypotheses using the Type III MS for B*S(A) as an error term
Source DF Type III SS Mean Square F Value Pr > F
B 1 162.00000000 162.00000000 199.38 0.0001
A*B 1 6.12500000 6.12500000 7.54 0.0335
Tests of Hypotheses using the Type III MS for C*S(A) as an error term
Source DF Type III SS Mean Square F Value Pr > F
C 1 24.50000000 24.50000000 61.89 0.0002
A*C 1 10.12500000 10.12500000 25.58 0.0023
Tests of Hypotheses using the Type III MS for C*B*S(A) as an error term
Source DF Type III SS Mean Square F Value Pr > F
C*B 1 8.00000000 8.00000000 25.60 0.0023
A*C*B 1 3.12500000 3.12500000 10.00 0.0195
Table 12.10-1, p.555 Kirk, SPF-2.22 -- Univariate, 2 versions 5
General Linear Models Procedure
Bonferroni (Dunn) T tests for variable: SCORE
NOTE: This test controls the type I experimentwise error rate, but
generally has a higher type II error rate than REGWQ.
Alpha= 0.05 df= 6 MSE= 1.5625
Critical Value of T= 2.45
Minimum Significant Difference= 1.0814
Means with the same letter are not significantly different.
Bon Grouping Mean N A
A 5.6875 16 1
A
A 5.0625 16 2
Table 12.10-1, p.555 Kirk, SPF-2.22 -- Univariate, 2 versions 6
Bonferroni (Dunn) T tests for variable: SCORE
NOTE: This test controls the type I experimentwise error rate, but
generally has a higher type II error rate than REGWQ.
Alpha= 0.05 df= 6 MSE= 0.8125
Critical Value of T= 2.45
Minimum Significant Difference= 0.7798
Means with the same letter are not significantly different.
Bon Grouping Mean N B
A 7.6250 16 2
B 3.1250 16 1
Level of Level of ------------SCORE------------
A B N Mean SD
1 1 8 3.87500000 1.12599163
1 2 8 7.50000000 0.92582010
2 1 8 2.37500000 0.91612538
2 2 8 7.75000000 2.49284691
Table 12.10-1, p.555 Kirk, SPF-2.22 -- Univariate, 2 versions 7
Bonferroni (Dunn) T tests for variable: SCORE
NOTE: This test controls the type I experimentwise error rate, but
generally has a higher type II error rate than REGWQ.
Alpha= 0.05 df= 6 MSE= 0.395833
Critical Value of T= 2.45
Minimum Significant Difference= 0.5443
Means with the same letter are not significantly different.
Bon Grouping Mean N C
A 6.2500 16 2
B 4.5000 16 1
Level of Level of ------------SCORE------------
A C N Mean SD
1 1 8 5.37500000 2.06587927
1 2 8 6.00000000 2.26778684
2 1 8 3.62500000 2.06587927
2 2 8 6.50000000 3.81725406
Table 12.10-1, p.555 Kirk, SPF-2.22 -- Univariate, 2 versions 8
Level of Level of ------------SCORE------------
C B N Mean SD
1 1 8 2.75000000 1.48804762
1 2 8 6.25000000 1.03509834
2 1 8 3.50000000 0.92582010
2 2 8 9.00000000 1.30930734
Level of Level of Level of ------------SCORE------------
A C B N Mean SD
1 1 1 4 3.75000000 1.50000000
1 1 2 4 7.00000000 0.81649658
1 2 1 4 4.00000000 0.81649658
1 2 2 4 8.00000000 0.81649658
2 1 1 4 1.75000000 0.50000000
2 1 2 4 5.50000000 0.57735027
2 2 1 4 3.00000000 0.81649658
2 2 2 4 10.00000000 0.81649658
Table 12.10-1, p.555 Kirk, SPF-2.22 -- Univariate, 2 versions 9
General Linear Models Procedure
Class Level Information
Class Levels Values
A 2 1 2
C 2 1 2
B 2 1 2
S 8 1 2 3 4 5 6 7 8
Number of observations in data set = 32
Table 12.10-1, p.555 Kirk, SPF-2.22 -- Univariate, 2 versions 10
Dependent Variable: SCORE
Sum of Mean
Source DF Squares Square F Value Pr > F
Model 25 233.62500000 9.34500000 29.90 0.0002
Error 6 1.87500000 0.31250000
Corrected Total 31 235.50000000
R-Square C.V. Root MSE SCORE Mean
0.992038 10.40032 0.5590170 5.3750000
Source DF Type I SS Mean Square F Value Pr > F
A 1 3.12500000 3.12500000 10.00 0.0195
S(A) 6 9.37500000 1.56250000 5.00 0.0355
B 1 162.00000000 162.00000000 518.40 0.0001
A*B 1 6.12500000 6.12500000 19.60 0.0044
B*S(A) 6 4.87500000 0.81250000 2.60 0.1350
C 1 24.50000000 24.50000000 78.40 0.0001
A*C 1 10.12500000 10.12500000 32.40 0.0013
C*S(A) 6 2.37500000 0.39583333 1.27 0.3907
C*B 1 8.00000000 8.00000000 25.60 0.0023
A*C*B 1 3.12500000 3.12500000 10.00 0.0195
Source DF Type III SS Mean Square F Value Pr > F
A 1 3.12500000 3.12500000 10.00 0.0195
S(A) 6 9.37500000 1.56250000 5.00 0.0355
B 1 162.00000000 162.00000000 518.40 0.0001
A*B 1 6.12500000 6.12500000 19.60 0.0044
B*S(A) 6 4.87500000 0.81250000 2.60 0.1350
C 1 24.50000000 24.50000000 78.40 0.0001
A*C 1 10.12500000 10.12500000 32.40 0.0013
C*S(A) 6 2.37500000 0.39583333 1.27 0.3907
C*B 1 8.00000000 8.00000000 25.60 0.0023
A*C*B 1 3.12500000 3.12500000 10.00 0.0195
Tests of Hypotheses using the Type III MS for S(A) as an error term
Source DF Type III SS Mean Square F Value Pr > F
A 1 3.12500000 3.12500000 2.00 0.2070
Table 12.10-1, p.555 Kirk, SPF-2.22 -- Univariate, 2 versions 11
General Linear Models Procedure
Dependent Variable: SCORE
Tests of Hypotheses using the Type III MS for B*S(A) as an error term
Source DF Type III SS Mean Square F Value Pr > F
B 1 162.00000000 162.00000000 199.38 0.0001
A*B 1 6.12500000 6.12500000 7.54 0.0335
Tests of Hypotheses using the Type III MS for C*S(A) as an error term
Source DF Type III SS Mean Square F Value Pr > F
C 1 24.50000000 24.50000000 61.89 0.0002
A*C 1 10.12500000 10.12500000 25.58 0.0023
Table 12.10-1, p.555 Kirk, SPF-2.22 -- Univariate, 2 versions 12
Bonferroni (Dunn) T tests for variable: SCORE
NOTE: This test controls the type I experimentwise error rate, but
generally has a higher type II error rate than REGWQ.
Alpha= 0.05 df= 6 MSE= 1.5625
Critical Value of T= 2.45
Minimum Significant Difference= 1.0814
Means with the same letter are not significantly different.
Bon Grouping Mean N A
A 5.6875 16 1
A
A 5.0625 16 2
Table 12.10-1, p.555 Kirk, SPF-2.22 -- Univariate, 2 versions 13
Bonferroni (Dunn) T tests for variable: SCORE
NOTE: This test controls the type I experimentwise error rate, but
generally has a higher type II error rate than REGWQ.
Alpha= 0.05 df= 6 MSE= 0.8125
Critical Value of T= 2.45
Minimum Significant Difference= 0.7798
Means with the same letter are not significantly different.
Bon Grouping Mean N B
A 7.6250 16 2
B 3.1250 16 1
Level of Level of ------------SCORE------------
A B N Mean SD
1 1 8 3.87500000 1.12599163
1 2 8 7.50000000 0.92582010
2 1 8 2.37500000 0.91612538
2 2 8 7.75000000 2.49284691
Table 12.10-1, p.555 Kirk, SPF-2.22 -- Univariate, 2 versions 14
Bonferroni (Dunn) T tests for variable: SCORE
NOTE: This test controls the type I experimentwise error rate, but
generally has a higher type II error rate than REGWQ.
Alpha= 0.05 df= 6 MSE= 0.395833
Critical Value of T= 2.45
Minimum Significant Difference= 0.5443
Means with the same letter are not significantly different.
Bon Grouping Mean N C
A 6.2500 16 2
B 4.5000 16 1
Level of Level of ------------SCORE------------
A C N Mean SD
1 1 8 5.37500000 2.06587927
1 2 8 6.00000000 2.26778684
2 1 8 3.62500000 2.06587927
2 2 8 6.50000000 3.81725406
Table 12.10-1, p.555 Kirk, SPF-2.22 -- Univariate, 2 versions 15
Level of Level of ------------SCORE------------
C B N Mean SD
1 1 8 2.75000000 1.48804762
1 2 8 6.25000000 1.03509834
2 1 8 3.50000000 0.92582010
2 2 8 9.00000000 1.30930734
Level of Level of Level of ------------SCORE------------
A C B N Mean SD
1 1 1 4 3.75000000 1.50000000
1 1 2 4 7.00000000 0.81649658
1 2 1 4 4.00000000 0.81649658
1 2 2 4 8.00000000 0.81649658
2 1 1 4 1.75000000 0.50000000
2 1 2 4 5.50000000 0.57735027
2 2 1 4 3.00000000 0.81649658
2 2 2 4 10.00000000 0.81649658
Comments: peng@indiana.edu
Dr. Peng's Home Page: Dr.
Chao-Ying Joanne Peng
Copyright
1999, The Trustees of Indiana
University
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