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Table 13.2. Preliminary calculations for a 3
2 simple mixed design factorial
ABS data matrix
×
a 1
a 2
a 3
(Authoritarian)
(Democratic)
(Laissez faire)
(Simple)
(Complex)
(Simple)
(Complex)
(Simple)
(Complex)
Subjects
b 1
b 2
Subjects
b 1
b 2
Subjects
b 1
b 2
s 1
5
0
s 6
7
7
s 11
4
2
s 2
6
2
s 7
5
6
s 12
3
3
s 3
7
1
s 8
7
7
s 13
5
4
s 4
5
0
s 9
6
7
s 14
3
2
s 5
7
2
s 10
7
7
s 15
3
3
AB :
0
5
AB :
2
4
AB :
8
4
Y 2 :
Y 2 :
Y 2 :
184
9
208
232
68
42
Y :
6.00
1.00
Y :
6.40
6.80
Y :
3.60
2.80
s :
1.00
1.00
s :
0.89
0.45
s :
0.89
0.84
AB matrix (sums)
(Simple) b 1
(Complex) b 2 Marginal sum
a 1 (Authoritarian)
30
5
35
a 2 (Democratic)
32
34
66
a 3 (Laissez faire)
18
14
32
Marginal sum
80
53
133
AS matrix
a 1 (Authoritarian)
a 2 (Democratic)
a 3 (Laissez faire)
s 1
5
s 6
14
s 11
6
s 2
8
s 7
11
s 12
6
s 3
8
s 8
14
s 13
9
s 4
5
s 9
13
s 14
5
s 5
9
s 10
14
s 15
6
Sum
35
Sum
66
Sum
32
AB matrix (means)
Project type (Factor B )
Leadership style
(Simple)
(Complex)
(Factor A )
b 1
b 2
Marginal means
a 1 (Authoritarian)
6.00
1.00
3.00
a 2 (Democratic)
6.40
6.80
6.60
a 3 (Laissez faire)
3.60
2.80
3.20
Marginal means
1.17
4.25
 
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