For an analysis of variance comparing three treatment means with a separate sample of n = 10 participants in each treatment,df_total = 29.

Question

Quizplus · Accepted Answer

The given information indicates the degrees of freedom for the sum of squares between treatments (S1U1B1), the sum of squares within treatments (S1U1B0), and the total sum of squares (S1U1B1total) for an ANOVA with three treatment groups, each with n = 10 participants. The formula for calculating degrees of freedom for the sum of squares within treatments is df = (k-1)(n-1), where k is the number of treatment groups and n is the sample size for each group. With k = 3 and n = 10, we have dfS1U1B0 = (3-1)(10-1) = 18. The total degrees of freedom equals the total sample size minus 1, so dfS1U1B1total = 3(10) - 1 = 29. Therefore, the statement is true.

For an Analysis of Variance Comparing Three Treatment Means with a Separate