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Table 11.2. Preliminary calculations for a 2
×
3 within-subjects ANOVA data set
( ABS matrix)
Vehicle type (Factor A )
a 1 (car)
a 2 (SUV)
Amount of alcohol
Amount of alcohol
Factor B
(0)
(1)
(3)
(0)
(1)
(3)
Subjects
b 1
b 2
b 3
b 1
b 2
b 3
s 1
1
4
6
2
5
4
s 2
1
5
7
1
6
7
s 3
2
6
9
1
6
5
s 4
2
5
10
1
4
6
s 5
0
3
7
2
4
5
s 6
0
1
6
1
2
3
Sum of scores
Y :
6
24
45
8
27
30
T
=
140
Y 2 :
Sum o f s quared scores
10
112
351
12
133
160
Mean Y :
1.00
4.00
7.50
1.33
4.50
5.00
Standard deviation s :
0.89
1.79
1.64
0.52
1.52
1.41
AB matrix (sums)
(0)
(1)
(3)
b 1
b 2
b 3
Sum
a 1 (car)
6
24
45
75
a 2 (SUV)
8
27
30
65
S m
14
51
75
140
AS matrix
BS matrix
a 1
a 2
b 1
b 2
b 3
(car)
(SUV)
Sum
(0)
(1)
(3)
Sum
s 1
11
11
22
s 1
3
9
10
22
s 2
13
14
27
s 2
2
11
14
27
s 3
17
12
29
s 3
3
12
14
29
s 4
17
11
28
s 4
3
9
16
28
s 5
10
11
21
s 5
2
7
12
21
s 6
7
6
13
s 6
1
3
9
13
Sum
75
65
140
Sum
14
51
75
140
AB matrix of means
(0)
(1)
(3)
Marginal
b 1
b 2
b 3
means
a 1 (car)
1.00
4.00
7.50
4.17
a 2 (SUV)
1.33
4.50
5.00
3.61
Marginal means
1.17
4.25
6.25
 
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