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:

The correct option is d. n > 1

Explanation:

In a two-factor randomized block design, the interaction term can be tested if the factors are tested with replications. The term interaction of two factors can be tested only if we have more than 1 observation for each combination of the two factors. If there is only one observation for each of the two factors then it is necessary to assume there is no interaction. Therefore, the correct option is n > 1.