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Program 5

OPTIONS LS=75 NODATE PAGENO=1;
TITLE 'Interaction Contrasts in a CRF design, p. 369 of Kirk, 1994';
DATA p369;
     INPUT a b score;
CARDS;
1 1 24
1 1 33
1 1 37
1 1 29
1 1 42
1 2 44
1 2 36
1 2 25
1 2 27
1 2 43
1 3 38
1 3 29
1 3 28
1 3 47
1 3 48
2 1 30
2 1 21
2 1 39
2 1 26
2 1 34
2 2 35
2 2 40
2 2 27
2 2 31
2 2 22
2 3 26
2 3 27
2 3 36
2 3 46
2 3 45
3 1 21
3 1 18
3 1 10
3 1 31
3 1 20
3 2 41
3 2 39
3 2 50
3 2 36
3 2 34
3 3 42
3 3 52
3 3 53
3 3 49
3 3 64
;
PROC PRINT;
PROC GLM;
     CLASS a b;
     MODEL score=a b a*b;
 
     CONTRAST  'psy1-on a'  a   1   -1    0;
     CONTRAST  'psy2-on a'  a   1    1   -2;
     CONTRAST  'psy3-on b'  b   1    1  -2;
     CONTRAST  'psy4-on b'  b   1   -1   0;
     CONTRAST  'psy5-on ab' a*b 1    1  -2    -1  -1   2   0  0  0;
     CONTRAST  'psy6-on ab' a*b 1   -1   0    -1   1   0   0  0  0;
     CONTRAST  'psy7-on ab' a*b 1    1  -2     1   1  -2  -2 -2  4;
     CONTRAST  'psy8-on ab' a*b 1   -1   0     1  -1   0  -2  2  0;     
RUN;
            
            
1   Interaction Contrasts in a CRF design, p. 369 of Kirk, 1994  1
                            OBS    A    B    SCORE
                             1    1    1      24 
                             2    1    1      33 
                             3    1    1      37 
                             4    1    1      29 
                             5    1    1      42 
                             6    1    2      44 
                             7    1    2      36 
                             8    1    2      25 
                             9    1    2      27 
                            10    1    2      43 
                            11    1    3      38 
                            12    1    3      29 
                            13    1    3      28 
                            14    1    3      47 
                            15    1    3      48 
                            16    2    1      30 
                            17    2    1      21 
                            18    2    1      39 
                            19    2    1      26 
                            20    2    1      34 
                            21    2    2      35 
                            22    2    2      40 
                            23    2    2      27 
                            24    2    2      31 
                            25    2    2      22 
                            26    2    3      26 
                            27    2    3      27 
                            28    2    3      36 
                            29    2    3      46 
                            30    2    3      45 
                            31    3    1      21 
                            32    3    1      18 
                            33    3    1      10 
                            34    3    1      31 
                            35    3    1      20 
                            36    3    2      41 
                            37    3    2      39 
                            38    3    2      50 
                            39    3    2      36 
                            40    3    2      34 
                            41    3    3      42 
                            42    3    3      52 
                            43    3    3      53 
                            44    3    3      49 
                            45    3    3      64 
            
            
1   Interaction Contrasts in a CRF design, p. 369 of Kirk, 1994    2
			    General Linear Models Procedure
                           Class Level Information
 
                          Class    Levels    Values
 
                          A             3    1 2 3
 
                          B             3    1 2 3
 
                    Number of observations in data set = 45
 
 
 
1   Interaction Contrasts in a CRF design, p. 369 of Kirk, 1994   3
                                           
                       General Linear Models Procedure
 
 Dependent Variable: SCORE   
                                   Sum of          Mean
 Source                 DF        Squares        Square    F Value    Pr > F
 
 Model                   8      2970.00000     371.25000     5.94     0.0001
 
 Error                  36     2250.00000      62.50000
 
 Corrected Total        44     5220.00000
 
                   R-Square           C.V.      Root MSE         SCORE Mean
 
                   0.568966       22.58770       7.90569            35.0000
 
 
 Source    DF        Type I SS   	 Mean Square  	F Value    Pr > F
 
 A          2        190.00000         95.00000     	   1.52     0.2324
 B          2       1543.33333        771.66667    	  12.35      0.0001
 A*B        4       1236.66667        309.16667     	   4.95     0.0028
 
            
 Contrast                DF    Contrast SS   Mean Square  F Value    Pr > F
 
 psy1-on a                1       67.50000      67.50000     1.08    0.3056
 psy2-on a                1      122.50000     122.50000     1.96    0.1701
 psy3-on b                1     1102.50000    1102.50000    17.64    0.0002
 psy4-on b                1      440.83333     440.83333     7.05    0.0117
 psy5-on ab               1        3.75000       3.75000     0.06    0.8079
 psy6-on ab               1        1.25000       1.25000     0.02    0.8883
 psy7-on ab               1      661.25000     661.25000    10.58    0.0025
 psy8-on ab               1      570.41667     570.41667     9.13    0.0046
                   




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