A researcher is performing a two-way ANOVA using two factors. The first factor has 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) 27
C) 24
D) 36

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. If the first factor has 4 levels, its degrees of freedom is 3 (levels - 1). The second factor has 9 levels, so its degrees of freedom is 8 (levels - 1). Therefore, the interaction degrees of freedom is 3 * 8 = 24.

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