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

Back to one-way ANOVA?
Back to two-way ANOVA?