In a two-factor ANOVA problem, there are 4 levels of factor A, 5 levels of factor B, and 2 observations (replications) for each combination of levels of the two factors. Then, the number of treatments in this experiment is
A) 40
B) 11
C) 10
D) 20
E) 8

Question

Quizplus · Accepted Answer

The number of treatments in a two-factor ANOVA can be calculated by multiplying the number of levels of factor A by the number of levels of factor B (i.e., the number of cells in the design). In this case, there are 4 levels of factor A and 5 levels of factor B, so the number of treatments is 4 x 5 = 20. However, since there are 2 observations for each combination of levels of the two factors, the total number of observations in the experiment is 4 x 5 x 2 = 40.

In a Two-Factor ANOVA Problem, There Are 4 Levels of Factor