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

1. FALSE, numerator and denominator do not measure the same source of variance. Numerator measures the variance in treatment while denominator in error.

2. TRUE

3. TRUE, because d.f.=n-1.

4.TRUE, because SS/d.f.=MSS

5. FALSE

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