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 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) This statement is true
Because the F-statistic is the test statistic for F-tests. In general, an F-statistic is a ratio of two quantities that are expected to be roughly equal under the null hypothesis, which produces an F-statistic of approximately 1.

22) This statement is true
Because the F-statistic is the test statistic for F-tests. In general, an F-statistic is a ratio of two quantities that are expected to be roughly equal under the null hypothesis, which produces an F-statistic of approximately 1.

23) True
df(within) = n - 1

24) True
MSbetween = SSbetween/DFbetween
DFbetween = no. of treament groups - 1

25) True

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