For a repeated-measures study,if there are no systematic treatment effects (H₀ is true),then the numerator and denominator of the F-ratio are both measuring the same sources of variance.

Question

Quizplus · Accepted Answer

When the null hypothesis is true and there are no systematic treatment effects, the numerator and denominator of the F-ratio are both measuring the same sources of variance, which is the error variance. This is because any differences between the means of the groups can be attributed to random error or individual differences, rather than the treatment effect. Therefore, the F-ratio will be close to 1 and there will be no significant difference between the means of the groups.

For a Repeated-Measures Study,if There Are No Systematic Treatment Effects