Question

A researcher conducts a repeated-measures experiment using a sample of n =8 subjects to evaluate differences among four treatment conditions. What are the two sets of degrees of freedom (df) for the F-statistic for repeated-measures ANOVA: df of numerator (df between treatments) and df of the denominator (df error)?

Answer 1

The df for the numerator in a repeated-measures ANOVA is the number of treatment conditions minus 1, and the df for the denominator is the total number of subjects minus the number of treatment conditions.

Step-by-step explanation:

The degrees of freedom for the F-statistic in a repeated-measures ANOVA are calculated based on the number of subjects and the number of treatment conditions.

The df for the numerator (df between treatments) is equal to the number of treatment conditions minus 1. In this case, there are 4 treatment conditions, so df numerator = 4-1 = 3.

The df for the denominator (df error) is calculated as the total number of subjects minus the number of treatment conditions. In this case, there are 8 subjects and 4 treatment conditions, so df denominator = 8-4 = 4.