A repeated-measures experiment compares three treatment conditions with a sample of n = 10 participants.If the data are analyzed with ANOVA,the analysis would have dfₜₒₜₐₗ = _____.
A)27
B)28
C)29
D)30

Question

Quizplus · Accepted Answer

For a repeated-measures ANOVA, the total degrees of freedom (df_total) is calculated as df_total = n – 1. In this case, with a sample size of n = 10, df_total = 9. However, since there are three treatment conditions, the degrees of freedom for the treatments (df_treatments) is equal to k – 1, where k is the number of treatment conditions. Therefore, df_treatments = 3 – 1 = 2. Finally, the degrees of freedom for the error term (df_error) is calculated as df_error = df_total – df_treatments = 9 – 2 = 7. Thus, the ANOVA would have df_total = 9, df_treatments = 2, and df_error = 7, for a total of df_total + df_treatments + df_error = 9 + 2 + 7 = 18 + 11 = 29 degrees of freedom.

A Repeated-Measures Experiment Compares Three Treatment Conditions with a Sample