Analysis of Variance A significant difference
between treatments is suggested if your calculated F
value exceeds the tabulated F value. But this tells you
only that you have significant differences between the
treatments as a whole. It does not tell you which
treatments differ from one another.
Only some degrees are freedom are
shown. If you want an intermediate value, use the next
lowest in the table.
D.of Freedom, v (for replicates) |
Degrees of Freedom, u (for
treatments)
|
|
1 |
2 |
3 |
4 |
5 |
6 |
8 |
12 |
¥ |
1 |
4052 |
4999 |
5403 |
5625 |
5764 |
5859 |
5982 |
6106 |
6366 |
2 |
98.5 |
99.0 |
99.2 |
99.3 |
99.3 |
99.3 |
99.4 |
99.4 |
99.5 |
3 |
34.1 |
30.8 |
29.5 |
28.7 |
28.2 |
27.9 |
27.5 |
27.1 |
26.1 |
4 |
21.2 |
18.0 |
16.7 |
16.0 |
15.5 |
15.2 |
14.8 |
14.4 |
13.5 |
5 |
16.3 |
13.3 |
12.1 |
11.4 |
11.0 |
10.7 |
10.3 |
9.9 |
9.0 |
6 |
13.7 |
10.9 |
9.8 |
9.2 |
8.8 |
8.5 |
8.1 |
7.7 |
6.9 |
7 |
12.3 |
9.6 |
8.5 |
7.9 |
7.5 |
7.2 |
6.8 |
6.5 |
5.7 |
8 |
11.3 |
8.7 |
7.6 |
7.0 |
6.6 |
6.4 |
6.0 |
5.7 |
4.9 |
9 |
10.6 |
8.0 |
7.0 |
6.4 |
6.1 |
5.8 |
5.5 |
5.1 |
4.3 |
10 |
10.0 |
7.6 |
6.6 |
6.0 |
5.6 |
5.4 |
5.1 |
4.7 |
3.9 |
11 |
9.7 |
7.2 |
6.2 |
5.7 |
5.3 |
5.1 |
4.7 |
4.4 |
3.6 |
12 |
9.3 |
6.9 |
6.0 |
5.4 |
5.1 |
4.8 |
4.5 |
4.2 |
3.4 |
13 |
9.1 |
6.7 |
5.7 |
5.2 |
4.9 |
4.6 |
4.3 |
4.0 |
3.2 |
14 |
8.9 |
6.5 |
5.6 |
5.0 |
4.7 |
4.5 |
4.1 |
3.8 |
3.0 |
15 |
8.7 |
6.4 |
5.4 |
4.9 |
4.6 |
4.3 |
4.0 |
3.7 |
2.9 |
16 |
8.5 |
6.2 |
5.3 |
4.8 |
4.4 |
4.2 |
3.9 |
3.6 |
2.8 |
17 |
8.4 |
6.1 |
5.2 |
4.7 |
4.3 |
4.1 |
3.8 |
3.5 |
2.7 |
18 |
8.3 |
6.0 |
5.1 |
4.6 |
4.3 |
4.0 |
3.7 |
3.4 |
3.6 |
19 |
8.2 |
5.9 |
5.0 |
4.5 |
4.2 |
3.9 |
3.6 |
3.3 |
2.5 |
20 |
8.1 |
5.9 |
4.9 |
4.4 |
4.1 |
3.9 |
3.6 |
3.2 |
2.4 |
21 |
8.0 |
5.8 |
4.9 |
4.4 |
4.0 |
3.8 |
3.5 |
3.2 |
2.4 |
22 |
7.9 |
5.7 |
4.8 |
4.3 |
4.0 |
3.8 |
3.5 |
3.1 |
2.3 |
23 |
7.9 |
5.7 |
4.8 |
4.3 |
3.9 |
3.7 |
3.4 |
3.1 |
2.3 |
24 |
7.8 |
5.6 |
4.7 |
4.2 |
3.9 |
3.7 |
3.4 |
3.0 |
2.2 |
25 |
7.8 |
5.6 |
4.7 |
4.2 |
3.9 |
3.6 |
3.3 |
3.0 |
2.2 |
|
|
|
|
|
|
|
|
|
|
30 |
7.6 |
5.4 |
4.5 |
4.0 |
3.7 |
3.5 |
3.2 |
2.8 |
2.0 |
40 |
7.3 |
5.2 |
4.3 |
3.8 |
3.5 |
3.3 |
3.0 |
2.7 |
1.8 |
120 |
6.9 |
4.8 |
4.0 |
3.5 |
3.2 |
3.0 |
2.7 |
2.3 |
1.4 |
|
|
|
|
|
|
|
|
|
|
¥ |
6.6 |
4.6 |
3.8 |
3.3 |
3.0 |
2.8 |
2.5 |
2.2 |
1.0 |
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ANOVA?
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|