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In-Depth Information
Ta b l e 6 . 1 .
Preliminary calculations for a (five-group) one-way ANOVA data set
Factor
A
: Preparation time (in months)
Trea tment
conditions or
0
2
4
6
8
levels
a
1
a
2
a
3
a
4
a
5
To t a l
Dependent variable or
370
410
530
560
550
individual scores
380
430
530
580
610
420
440
540
590
620
420
480
540
620
630
430
510
550
640
640
430
520
570
650
650
440
530
610
660
660
Sum of scores
(
Y
ij
)
=
(
A
j
)
A
1
=
2,890
A
2
=
3,320
A
3
=
3,870
A
4
=
4,300
A
5
=
4,360
Y
ij
=
A
j
=
T
=
18,740
Sum of squared scores
(
Y
aj
)
Y
a
1
=
1,197,500
Y
a
2
=
1,588,400
Y
a
3
=
2,144,500
Y
a
4
=
2,650,200
Y
a
5
=
2,723,600
Y
2
=
10,304,200
Number of cases
n
1
=
7
n
2
=
7
n
3
=
7
n
4
=
7
n
5
=
7
(
a
)(
n
)
=
N
=
35
T
(
a
)(
n
)
=
535
.
43
Mean (
Y
j
)
Y
1
=
412
.
86
Y
2
=
474
.
29
Y
3
=
552
.
86
Y
4
=
614
.
29
Y
5
=
623
.
86
Y
T
=
Va r i a n c e (
s
j
)
723.81
2,295.24
823.81
1,461.91
1,323.81
7,949.08
Standard deviation (
s
j
)
26.90
47.91
28.70
38.23
36.38
89.16
