Question

For the interaction to be tested in a two-factor randomized block design, it is required that which one of the following occurs?

a. both factors be fixed

b. both factors be random

c. n = 1

d. n > 1

Answer 1

Solution:

For the interaction to be tested in a two-factor randomized block design, it is required to have n > 1.

Therefore, the correct option is:

d. n > 1

Explanation:

In a two-factor randomized block design, we have at least two factors at various levels affecting the dependent variable. In such a design, the interaction term which represents the simultaneous effect of two or more variables on the dependent variable can be tested only if we have more than one observation for each combination of the two factors, therefore, for interaction to be tested, we need to at least two replications. Therefore, the correct option is n > 1