A researcher computes a 2 * 3 between-subjects ANOVA in which six participants are observed in each cell.What are the degrees of freedom error for this study?
A) 71
B) 60
C) 30
D) 36

Question

A researcher computes a 2 *  3 between-subjects ANOVA in which six participants are observed in each cell.What are the degrees of freedom error for this study?
A) 71
B) 60
C) 30
D) 36

Quizplus · Accepted Answer

The degrees of freedom error for a between-subjects ANOVA is calculated as df_error = N - k, where N is the total number of observations and k is the number of groups. Here, with 3x10 groups and 6 participants per group, N = 3*10*6 = 180, and k = 3*10 = 30. Thus, df_error = 180 - 30 = 150. However, the correct calculation for degrees of freedom error in a factorial ANOVA considers the interaction between factors and is given by df_error = n - (a*b), where n is the total number of observations, and a and b are the levels of the two factors. Here, n = 180 (total participants), a = 3 (levels of the first factor), b = 10 (levels of the second factor), thus making the correct calculation not directly reflected in the provided options. The provided answer and explanation mistakenly calculates total degrees of freedom or misunderstands the formula, indicating a need for correction based on the standard formula for degrees of freedom error in factorial ANOVA.

A Researcher Computes a 2 * 3 Between-Subjects ANOVA