A researcher is performing a two-way ANOVA using two factors. The first factor has 5 levels and the second factor has 9 levels. In the ANOVA Summary Table, the degrees of freedom for the interaction between the first and second factors will be
A) 32
B) 36
C) 40
D) 45

Question

Quizplus · Accepted Answer

The degrees of freedom for the interaction between two factors in a two-way ANOVA is calculated by multiplying the degrees of freedom of each factor. For the first factor with 5 levels, the degrees of freedom is 5 - 1 = 4. For the second factor with 9 levels, the degrees of freedom is 9 - 1 = 8. Therefore, the degrees of freedom for the interaction is 4 * 8 = 32.

A Researcher Is Performing a Two-Way ANOVA Using Two Factors