| 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 |
161 |
200 |
216 |
225 |
230 |
234 |
239 |
244 |
254 |
| 2 |
18.5 |
19.0 |
19.2 |
19.3 |
19.3 |
19.3 |
19.4 |
19.4 |
19.5 |
| 3 |
10.1 |
9.6 |
9.3 |
9.1 |
9.0 |
8.9 |
8.8 |
8.7 |
8.5 |
| 4 |
7.7 |
6.9 |
6.6 |
6.4 |
6.3 |
6.2 |
6.0 |
5.9 |
5.6 |
| 5 |
6.6 |
5.8 |
5.4 |
5.2 |
5.1 |
5.0 |
4.8 |
4.7 |
4.4 |
| 6 |
6.0 |
5.1 |
4.8 |
4.5 |
4.4 |
4.3 |
4.2 |
4.0 |
3.7 |
| 7 |
5.6 |
4.7 |
4.4 |
4.1 |
4.0 |
3.9 |
3.7 |
3.6 |
3.2 |
| 8 |
5.3 |
4.5 |
4.1 |
3.8 |
3.7 |
3.6 |
3.4 |
3.3 |
2.9 |
| 9 |
5.1 |
4.3 |
3.9 |
3.6 |
3.5 |
3.4 |
3.2 |
3.1 |
2.7 |
| 10 |
5.0 |
4.1 |
3.7 |
3.5 |
3.3 |
3.2 |
3.1 |
2.9 |
2.5 |
| 11 |
4.8 |
4.0 |
3.6 |
3.4 |
3.2 |
3.1 |
3.0 |
2.8 |
2.4 |
| 12 |
4.8 |
3.9 |
3.5 |
3.3 |
3.1 |
3.0 |
2.9 |
2.7 |
2.3 |
| 13 |
4.7 |
3.8 |
3.4 |
3.2 |
3.0 |
2.9 |
2.8 |
2.6 |
2.2 |
| 14 |
4.6 |
3.7 |
3.3 |
3.1 |
3.0 |
2.9 |
2.7 |
2.5 |
2.1 |
| 15 |
4.5 |
3,7 |
3.3 |
3.1 |
2.9 |
2.8 |
2.6 |
2.5 |
2.1 |
| 16 |
4.5 |
3.6 |
3.2 |
3.0 |
2.9 |
2.7 |
2.6 |
2.4 |
2.0 |
| 17 |
4.5 |
3.6 |
3.2 |
3.0 |
2.8 |
2.7 |
2.6 |
2.4 |
2.0 |
| 18 |
4.4 |
3.6 |
3.2 |
2.9 |
2.8 |
2.7 |
2.5 |
2.3 |
1.9 |
| 19 |
4.4 |
3.5 |
3.1 |
2.9 |
2.7 |
2.6 |
2.5 |
2.3 |
1.9 |
| 20 |
4.4 |
3.5 |
3.1 |
2.9 |
2.7 |
2.6 |
2.5 |
2.3 |
1.8 |
| 21 |
4.3 |
3.5 |
3.1 |
2.8 |
2.7 |
2.6 |
2.4 |
2.3 |
1.8 |
| 22 |
4.3 |
3.4 |
3.1 |
2.8 |
2.7 |
2.6 |
2.4 |
2.2 |
1.8 |
| 23 |
4.3 |
3.4 |
3.0 |
2.8 |
2.6 |
2.5 |
2.4 |
2.2 |
1.8 |
| 24 |
4.3 |
3.4 |
3.0 |
2.8 |
2.6 |
2.5 |
2.4 |
2.2 |
1.7 |
| 25 |
4.2 |
3.4 |
3.0 |
2.8 |
2.6 |
2.5 |
2.3 |
2.2 |
1.7 |
| 26 |
4.2 |
3.4 |
3.0 |
2.7 |
2.6 |
2.5 |
2.3 |
2.2 |
1.7 |
| 27 |
4.2 |
3.4 |
3.0 |
2.7 |
2.6 |
2.5 |
2.3 |
2.1 |
1.7 |
| 28 |
4.2 |
3.3 |
3.0 |
2.7 |
2.6 |
2.4 |
2.3 |
2.1 |
1.7 |
| 29 |
4.2 |
3.3 |
2.9 |
2.7 |
2.5 |
2.4 |
2.3 |
2.1 |
1.6 |
| 30 |
4.2 |
3.3 |
2.9 |
2.7 |
2.5 |
2.4 |
2.3 |
2.1 |
1.6 |
| 40 |
4.1 |
3.2 |
2.8 |
2.6 |
2.5 |
2.3 |
2.2 |
2.0 |
1.5 |
| 60 |
4.0 |
3.2 |
2.8 |
2.5 |
2.4 |
2.3 |
2.1 |
1.9 |
1.4 |
| 120 |
3.9 |
3.1 |
2.7 |
2.5 |
2.3 |
2.2 |
2.0 |
1.8 |
1.3 |
| ¥ |
3.8 |
3.0 |
2.6 |
2.4 |
2.2 |
2.1 |
1.9 |
1.8 |
1.0 |
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ANOVA?
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to two-way ANOVA?
|