Question

You have designed an experiment manipulating room temperature (cold, warm, or hot), noise level (quiet or loud), and room color (pink, blue, or black). How many interactions are possible?Select one:

a. 3 x 4
b. 2 x 3
c. 3 x 2 x 2
d. 2 x 2

Answer 1

Option B.

2 × 3 interactions are possible.

Explanation:

Since the experiment is manipulating room temperature, noise level, and room colour, this means that the experiment has 3 main effects, and for that reason has 3 independent variables.

Since there are 3 independent variables, there are 3! interactions.

And 3! = 3 × 2 × 1 = 2 × 3