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Program
11
TITLE 'Table 12.8-1, p.542 Kirk, SPF-22.4 -- Univariate, 2 versions';
OPTIONS LS=80 NODATE PAGENO=1;
DATA SPF22_4;
INPUT A C B S score;
CARDS;
1 1 1 1 3
1 1 1 2 6
1 2 1 3 3
1 2 1 4 3
2 1 1 5 1
2 1 1 6 2
2 2 1 7 2
2 2 1 8 2
1 1 2 1 4
1 1 2 2 5
1 2 2 3 4
1 2 2 4 3
2 1 2 5 2
2 1 2 6 3
2 2 2 7 4
2 2 2 8 3
1 1 3 1 7
1 1 3 2 8
1 2 3 3 7
1 2 3 4 6
2 1 3 5 5
2 1 3 6 6
2 2 3 7 5
2 2 3 8 6
1 1 4 1 7
1 1 4 2 8
1 2 4 3 9
1 2 4 4 8
2 1 4 5 10
2 1 4 6 10
2 2 4 7 9
2 2 4 8 11
;
PROC PRINT;
*This analysis lists all the terms in the model statement*;
PROC GLM DATA=SPF22_4;
CLASS A C B S;
MODEL score=A C A*C S(A C) B A*B B*C A*B*C B*S(A C);
TEST H=A C A*C E=S(A C);
TEST H=B A*B B*C A*B*C E=B*S(A C);
MEANS A C A*C /E=S(A C) BON;
MEANS B A*B B*C A*B*C /E=B*S(A C) BON;
RUN;
*This analysis leaves out the last error term from the model statement*;
PROC GLM DATA=SPF22_4;
CLASS A C B S;
MODEL score=A C A*C S(A C) B A*B B*C A*B*C;
TEST H=A C A*C E=S(A C);
MEANS A C A*C /E=S(A C) BON;
MEANS B A*B B*C A*B*C / BON;
RUN;
Table 12.8-1, p.542 Kirk, SPF-22.4 -- Univariate, 2 versions 1
OBS A C B S SCORE
1 1 1 1 1 3
2 1 1 1 2 6
3 1 2 1 3 3
4 1 2 1 4 3
5 2 1 1 5 1
6 2 1 1 6 2
7 2 2 1 7 2
8 2 2 1 8 2
9 1 1 2 1 4
10 1 1 2 2 5
11 1 2 2 3 4
12 1 2 2 4 3
13 2 1 2 5 2
14 2 1 2 6 3
15 2 2 2 7 4
16 2 2 2 8 3
17 1 1 3 1 7
18 1 1 3 2 8
19 1 2 3 3 7
20 1 2 3 4 6
21 2 1 3 5 5
22 2 1 3 6 6
23 2 2 3 7 5
24 2 2 3 8 6
25 1 1 4 1 7
26 1 1 4 2 8
27 1 2 4 3 9
28 1 2 4 4 8
29 2 1 4 5 10
30 2 1 4 6 10
31 2 2 4 7 9
32 2 2 4 8 11
Table 12.8-1, p.542 Kirk, SPF-22.4 -- Univariate, 2 versions 2
General Linear Models Procedure
Class Level Information
Class Levels Values
A 2 1 2
C 2 1 2
B 4 1 2 3 4
S 8 1 2 3 4 5 6 7 8
Number of observations in data set = 32
Table 12.8-1, p.542 Kirk, SPF-22.4 -- Univariate, 2 versions 3
General Linear Models Procedure
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 . .
C 1 0.12500000 0.12500000 . .
A*C 1 2.00000000 2.00000000 . .
S(A*C) 4 7.25000000 1.81250000 . .
B 3 194.50000000 64.83333333 . .
A*B 3 19.37500000 6.45833333 . .
C*B 3 1.37500000 0.45833333 . .
A*C*B 3 3.00000000 1.00000000 . .
B*S(A*C) 12 4.75000000 0.39583333 . .
Source DF Type III SS Mean Square F Value Pr > F
A 1 3.12500000 3.12500000 . .
C 1 0.12500000 0.12500000 . .
A*C 1 2.00000000 2.00000000 . .
S(A*C) 4 7.25000000 1.81250000 . .
B 3 194.50000000 64.83333333 . .
A*B 3 19.37500000 6.45833333 . .
C*B 3 1.37500000 0.45833333 . .
A*C*B 3 3.00000000 1.00000000 . .
B*S(A*C) 12 4.75000000 0.39583333 . .
Tests of Hypotheses using the Type III MS for S(A*C) as an error term
Source DF Type III SS Mean Square F Value Pr > F
A 1 3.12500000 3.12500000 1.72 0.2594
C 1 0.12500000 0.12500000 0.07 0.8058
A*C 1 2.00000000 2.00000000 1.10 0.3528
Table 12.8-1, p.542 Kirk, SPF-22.4 -- Univariate, 2 versions 4
General Linear Models Procedure
Dependent Variable: SCORE
Tests of Hypotheses using the Type III MS for B*S(A*C) as an error term
Source DF Type III SS Mean Square F Value Pr > F
B 3 194.50000000 64.83333333 163.79 0.0001
A*B 3 19.37500000 6.45833333 16.32 0.0002
C*B 3 1.37500000 0.45833333 1.16 0.3660
A*C*B 3 3.00000000 1.00000000 2.53 0.1068
Table 12.8-1, p.542 Kirk, SPF-22.4 -- 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= 4 MSE= 1.8125
Critical Value of T= 2.78
Minimum Significant Difference= 1.3215
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 12.8-1, p.542 Kirk, SPF-22.4 -- Univariate, 2 versions 6
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= 4 MSE= 1.8125
Critical Value of T= 2.78
Minimum Significant Difference= 1.3215
Means with the same letter are not significantly different.
Bon Grouping Mean N C
A 5.4375 16 1
A
A 5.3125 16 2
Level of Level of ------------SCORE------------
A C N Mean SD
1 1 8 6.00000000 1.85164020
1 2 8 5.37500000 2.44584195
2 1 8 4.87500000 3.56320482
2 2 8 5.25000000 3.28416112
Table 12.8-1, p.542 Kirk, SPF-22.4 -- Univariate, 2 versions 7
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= 12 MSE= 0.395833
Critical Value of T= 3.15
Minimum Significant Difference= 0.9918
Means with the same letter are not significantly different.
Bon Grouping Mean N B
A 9.0000 8 4
B 6.2500 8 3
C 3.5000 8 2
C
C 2.7500 8 1
Level of Level of ------------SCORE------------
A B N Mean SD
1 1 4 3.75000000 1.50000000
1 2 4 4.00000000 0.81649658
1 3 4 7.00000000 0.81649658
1 4 4 8.00000000 0.81649658
2 1 4 1.75000000 0.50000000
2 2 4 3.00000000 0.81649658
2 3 4 5.50000000 0.57735027
2 4 4 10.00000000 0.81649658
Level of Level of ------------SCORE------------
C B N Mean SD
1 1 4 3.00000000 2.16024690
1 2 4 3.50000000 1.29099445
1 3 4 6.50000000 1.29099445
1 4 4 8.75000000 1.50000000
2 1 4 2.50000000 0.57735027
2 2 4 3.50000000 0.57735027
2 3 4 6.00000000 0.81649658
2 4 4 9.25000000 1.25830574
Table 12.8-1, p.542 Kirk, SPF-22.4 -- Univariate, 2 versions 8
General Linear Models Procedure
Level of Level of Level of ------------SCORE------------
A C B N Mean SD
1 1 1 2 4.50000000 2.12132034
1 1 2 2 4.50000000 0.70710678
1 1 3 2 7.50000000 0.70710678
1 1 4 2 7.50000000 0.70710678
1 2 1 2 3.00000000 0.00000000
1 2 2 2 3.50000000 0.70710678
1 2 3 2 6.50000000 0.70710678
1 2 4 2 8.50000000 0.70710678
2 1 1 2 1.50000000 0.70710678
2 1 2 2 2.50000000 0.70710678
2 1 3 2 5.50000000 0.70710678
2 1 4 2 10.00000000 0.00000000
2 2 1 2 2.00000000 0.00000000
2 2 2 2 3.50000000 0.70710678
2 2 3 2 5.50000000 0.70710678
2 2 4 2 10.00000000 1.41421356
Table 12.8-1, p.542 Kirk, SPF-22.4 -- Univariate, 2 versions 9
General Linear Models Procedure
Class Level Information
Class Levels Values
A 2 1 2
C 2 1 2
B 4 1 2 3 4
S 8 1 2 3 4 5 6 7 8
Number of observations in data set = 32
Table 12.8-1, p.542 Kirk, SPF-22.4 -- Univariate, 2 versions 10
General Linear Models Procedure
Dependent Variable: SCORE
Sum of Mean
Source DF Squares Square F Value Pr > F
Model 19 230.75000000 12.14473684 30.68 0.0001
Error 12 4.75000000 0.39583333
Corrected Total 31 235.50000000
R-Square C.V. Root MSE SCORE Mean
0.979830 11.70517 0.6291529 5.3750000
Source DF Type I SS Mean Square F Value Pr > F
A 1 3.12500000 3.12500000 7.89 0.0158
C 1 0.12500000 0.12500000 0.32 0.5845
A*C 1 2.00000000 2.00000000 5.05 0.0442
S(A*C) 4 7.25000000 1.81250000 4.58 0.0178
B 3 194.50000000 64.83333333 163.79 0.0001
A*B 3 19.37500000 6.45833333 16.32 0.0002
C*B 3 1.37500000 0.45833333 1.16 0.3660
A*C*B 3 3.00000000 1.00000000 2.53 0.1068
Source DF Type III SS Mean Square F Value Pr > F
A 1 3.12500000 3.12500000 7.89 0.0158
C 1 0.12500000 0.12500000 0.32 0.5845
A*C 1 2.00000000 2.00000000 5.05 0.0442
S(A*C) 4 7.25000000 1.81250000 4.58 0.0178
B 3 194.50000000 64.83333333 163.79 0.0001
A*B 3 19.37500000 6.45833333 16.32 0.0002
C*B 3 1.37500000 0.45833333 1.16 0.3660
A*C*B 3 3.00000000 1.00000000 2.53 0.1068
Tests of Hypotheses using the Type III MS for S(A*C) as an error term
Source DF Type III SS Mean Square F Value Pr > F
A 1 3.12500000 3.12500000 1.72 0.2594
C 1 0.12500000 0.12500000 0.07 0.8058
A*C 1 2.00000000 2.00000000 1.10 0.3528
Table 12.8-1, p.542 Kirk, SPF-22.4 -- Univariate, 2 versions 11
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= 4 MSE= 1.8125
Critical Value of T= 2.78
Minimum Significant Difference= 1.3215
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 12.8-1, p.542 Kirk, SPF-22.4 -- Univariate, 2 versions 12
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= 4 MSE= 1.8125
Critical Value of T= 2.78
Minimum Significant Difference= 1.3215
Means with the same letter are not significantly different.
Bon Grouping Mean N C
A 5.4375 16 1
A
A 5.3125 16 2
Level of Level of ------------SCORE------------
A C N Mean SD
1 1 8 6.00000000 1.85164020
1 2 8 5.37500000 2.44584195
2 1 8 4.87500000 3.56320482
2 2 8 5.25000000 3.28416112
Table 12.8-1, p.542 Kirk, SPF-22.4 -- Univariate, 2 versions 13
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= 12 MSE= 0.395833
Critical Value of T= 3.15
Minimum Significant Difference= 0.9918
Means with the same letter are not significantly different.
Bon Grouping Mean N B
A 9.0000 8 4
B 6.2500 8 3
C 3.5000 8 2
C
C 2.7500 8 1
Level of Level of ------------SCORE------------
A B N Mean SD
1 1 4 3.75000000 1.50000000
1 2 4 4.00000000 0.81649658
1 3 4 7.00000000 0.81649658
1 4 4 8.00000000 0.81649658
2 1 4 1.75000000 0.50000000
2 2 4 3.00000000 0.81649658
2 3 4 5.50000000 0.57735027
2 4 4 10.00000000 0.81649658
Level of Level of ------------SCORE------------
C B N Mean SD
1 1 4 3.00000000 2.16024690
1 2 4 3.50000000 1.29099445
1 3 4 6.50000000 1.29099445
1 4 4 8.75000000 1.50000000
2 1 4 2.50000000 0.57735027
2 2 4 3.50000000 0.57735027
2 3 4 6.00000000 0.81649658
2 4 4 9.25000000 1.25830574
Table 12.8-1, p.542 Kirk, SPF-22.4 -- Univariate, 2 versions 14
General Linear Models Procedure
Level of Level of Level of ------------SCORE------------
A C B N Mean SD
1 1 1 2 4.50000000 2.12132034
1 1 2 2 4.50000000 0.70710678
1 1 3 2 7.50000000 0.70710678
1 1 4 2 7.50000000 0.70710678
1 2 1 2 3.00000000 0.00000000
1 2 2 2 3.50000000 0.70710678
1 2 3 2 6.50000000 0.70710678
1 2 4 2 8.50000000 0.70710678
2 1 1 2 1.50000000 0.70710678
2 1 2 2 2.50000000 0.70710678
2 1 3 2 5.50000000 0.70710678
2 1 4 2 10.00000000 0.00000000
2 2 1 2 2.00000000 0.00000000
2 2 2 2 3.50000000 0.70710678
2 2 3 2 5.50000000 0.70710678
2 2 4 2 10.00000000 1.41421356
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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