For independent-measures ANOVA,individual differences contribute to the variance in the numerator and in the denominator of the F-ratio.What happens to the individual differences in the numerator of the F-ratio for repeated-measures ANOVA?
A)They do not exist because the same individuals participate in all of the treatments.
B)They are measured and subtracted out in the analysis process.
C)They contribute to the variance in the numerator.
D)They are amplified in the numerator of the ratio.

Question

For independent-measures ANOVA,individual differences contribute to the variance in the numerator and in the denominator of the F-ratio.What happens to the individual differences in the numerator of the F-ratio for repeated-measures ANOVA?​
A)​They do not exist because the same individuals participate in all of the treatments.
B)​They are measured and subtracted out in the analysis process.
C)​They contribute to the variance in the numerator.
D)​They are amplified in the numerator of the ratio.

Quizplus · Accepted Answer

In repeated-measures ANOVA, the same individuals participate in all treatments, so individual differences do not exist in the numerator and are not a factor in the F-ratio. This is one of the advantages of repeated-measures ANOVA over independent-measures ANOVA, where individual differences can contribute to variance in both the numerator and denominator of the F-ratio.

For Independent-Measures ANOVA,individual Differences Contribute to the Variance in the Numerator