For an ANOVA, when the null hypothesis is true, the F-ratio is balanced so that

Question

For an ANOVA, when the null hypothesis is true, the F-ratio is balanced so that the numerator and the denominator are both measuring the same sources of variance. An F-ratio near 1.00 is an indication that the null hypothesis is likely to be true. For an independent-measures ANOVA with n = 10 participants in each treatment condition, df_within = 9. If an analysis of variance produces SS_between treatments 30 and MS_between treatments = 10, then the ANOVA is comparing four treatment conditions. SS_between measures the size of the mean differences from one treatment to another.

Explanation / Answer

21) True. When the null hypothesis is true, the F ratio will e balanced

22) True. F ratio near 1 means that there is not much difference in between groups variance and within groups variance. So null hypothesis is likely to be true.

23) False. The dfwithin = (No. of groups) * (No. of subjects in each group - 1

24) True. MSbetween treatments = SSbetween treatments/df between treatments

10 = 30 / df between treatments

So df between treatments = 3

And df between treatments = No. of groups - 1

So No. of groups = 3 + 1 = 4

25) True

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