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Program
6
OPTIONS NODATE PAGENO=1 LS=80;
TITLE 'This is a two-way random-effects ANOVA';
DATA random;
INPUT order exp score;
CARDS;
1 1 26
1 1 25
2 1 26
2 1 24
3 1 33
3 1 27
4 1 36
4 1 28
1 2 30
1 2 33
2 2 25
2 2 33
3 2 26
3 2 32
4 2 37
4 2 42
1 3 25
1 3 23
2 3 27
2 3 17
3 3 30
3 3 24
4 3 37
4 3 33
1 4 28
1 4 30
2 4 27
2 4 26
3 4 31
3 4 26
4 4 39
4 4 25
;
PROC GLM;
CLASS order exp;
MODEL score=order exp order*exp;
RANDOM order exp order*exp/TEST;
TITLE2 'TEST OF A Truly random effect model with a sig. interaction';
PROC GLM;
CLASS order exp;
MODEL score=order exp;
TITLE2 'TEST OF MAIN-EFFECTS MODEL with insig. interaction';
RUN;
This is a two-way random-effects ANOVA 1
TEST OF A Truly random effect model with a sig. interaction
General Linear Models Procedure
Class Level Information
Class Levels Values
ORDER 4 1 2 3 4
EXP 4 1 2 3 4
Number of observations in data set = 32
This is a two-way random-effects ANOVA 2
TEST OF A Truly random effect model with a sig. interaction
General Linear Models Procedure
Dependent Variable: SCORE
Sum of Mean
Source DF Squares Square F Value Pr > F
Model 15 568.21875000 37.88125000 1.95 0.0979
Error 16 310.50000000 19.40625000
Corrected Total 31 878.71875000
R-Square C.V. Root MSE SCORE Mean
0.646645 15.14158 4.4052525 29.093750
Source DF Type I SS Mean Square F Value Pr > F
ORDER 3 363.09375000 121.03125000 6.24 0.0052
EXP 3 122.34375000 40.78125000 2.10 0.1403
ORDER*EXP 9 82.78125000 9.19791667 0.47 0.8714
Source DF Type III SS Mean Square F Value Pr > F
ORDER 3 363.09375000 121.03125000 6.24 0.0052
EXP 3 122.34375000 40.78125000 2.10 0.1403
ORDER*EXP 9 82.78125000 9.19791667 0.47 0.8714
This is a two-way random-effects ANOVA 3
TEST OF A Truly random effect model with a sig. interaction
General Linear Models Procedure
Source Type III Expected Mean Square
ORDER Var(Error) + 2 Var(ORDER*EXP) + 8 Var(ORDER)
EXP Var(Error) + 2 Var(ORDER*EXP) + 8 Var(EXP)
ORDER*EXP Var(Error) + 2 Var(ORDER*EXP)
This is a two-way random-effects ANOVA 4
TEST OF A Truly random effect model with a sig. interaction
General Linear Models Procedure
Tests of Hypotheses for Random Model Analysis of Variance
Dependent Variable: SCORE
Source: ORDER
Error: MS(ORDER*EXP)
Denominator Denominator
DF Type III MS DF MS F Value Pr > F
3 121.03125 9 9.1979166667 13.1586 0.0012
Source: EXP
Error: MS(ORDER*EXP)
Denominator Denominator
DF Type III MS DF MS F Value Pr > F
3 40.78125 9 9.1979166667 4.4337 0.0356
Source: ORDER*EXP
Error: MS(Error)
Denominator Denominator
DF Type III MS DF MS F Value Pr > F
9 9.1979166667 16 19.40625 0.4740 0.8714
This is a two-way random-effects ANOVA 5
TEST OF MAIN-EFFECTS MODEL with insig. interaction
General Linear Models Procedure
Class Level Information
Class Levels Values
ORDER 4 1 2 3 4
EXP 4 1 2 3 4
Number of observations in data set = 32
This is a two-way random-effects ANOVA 6
TEST OF MAIN-EFFECTS MODEL with insig. interaction
General Linear Models Procedure
Dependent Variable: SCORE
Sum of Mean
Source DF Squares Square F Value Pr > F
Model 6 485.43750000 80.90625000 5.14 0.0015
Error 25 393.28125000 15.73125000
Corrected Total 31 878.71875000
R-Square C.V. Root MSE SCORE Mean
0.552438 13.63270 3.9662640 29.093750
Source DF Type I SS Mean Square F Value Pr > F
ORDER 3 363.09375000 121.03125000 7.69 0.0008
EXP 3 122.34375000 40.78125000 2.59 0.0751
Source DF Type III SS Mean Square F Value Pr > F
ORDER 3 363.09375000 121.03125000 7.69 0.0008
EXP 3 122.34375000 40.78125000 2.59 0.0751
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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