A study compares three levels of Factor A and two levels of Factor B,with five observations in each cell.What are the degrees of freedom for the F statistic that is used to test for interaction?
A)2 and 24
B)3 and 30
C)5 and 6
D)6 and 24

Question

Quizplus · Accepted Answer

The degrees of freedom for the interaction between Factor A and Factor B are calculated as follows: For Factor A (3 levels) and Factor B (2 levels), the interaction degrees of freedom are (3-1)*(2-1) = 2. For the error term, with 5 observations in each of the 3*2=6 cells, the total number of observations is 5*6=30. Subtracting the number of cells (6) from the total number of observations gives 30-6=24. Therefore, the degrees of freedom for the interaction are 2 and for the error term are 24.

A Study Compares Three Levels of Factor a and Two