Question

When there is no significant difference among three or more means, the value of F will be close to what number?

Answer 1

Steps of finding the F test:

1. Find the mean and variance of each sample.

2. Find the grand mean.

3. Find the between-group variance $S^2_B$ .

4. Find the within-group variance $S^2_W$ .

5. Find the F test value.

$F = \frac{S^2_B}{S^2_W}$

When there is no significant difference among three or more means, the between-group variance and the within-group variance will be close to each other. So, the value of F will be close to one.