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 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

Solution:

21. 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.
True

22. An F-ratio near 1.00 is an indication that the null hypothesis is likely to be true
True

23. For an independent-measures ANOVA with n = 10 participants in each treatment condition, dfwithin = 9
False
Explanation: The degrees of freedom for within group for an independent-measures ANOVA is
N(total)-k (number of groups)
So, the given dfwithin = 9 is false.

24. If an analysis of variance produces SS between treatments = 30 and MS between treatment = 10, then the ANOVA is comparing four treatment conditions
False
Explanation: MS between treatments = SS / (t - 1), where t is the number of treatments.

Here, 10 = 30 / (t-1), giving (t - 1) = 3, that is, t = 4, not 2. The statement is FALSE.

25. SSbetween measure the size of the mean differences from one treatment to another.
True
Explanation: SSG means sum of square between measures or treatments which measures mean differences between treatments. it measures variation due to interaction between samples but not measures size of the mean difference.

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