Anova table

The total sum of squares can be split into three component sums of squares.

Interpreting the p-value

The p-value associated with the F-ratio for the treatments is interpreted in a similar way to other p-values:

p-value > 0.1
No evidence of a difference between treatments
0.1 < p-value < 0.05
Very mild evidence of a difference between treatments
0.05 < p-value < 0.01
Moderately strong evidence of a difference between treatments
p-value < 0.01
Strong evidence of a difference between treatments

A similar p-value can be used to test whether there are any differences between the blocks.

Examples

In practice, computer software will produce the anova table for you, so you only need to interpret the p-value associated with the treatments.