Ninth Edition CoverGraziano & Raulin
Research Methods (9th edition)

Chapter 12 Exercises
Factorial Designs

The following exercises are designed to give you hands-on practice of the skills learned in this chapter.

  1. List all the possible effects (main effects and interactions) for each of the following factorials. (For example, in a 2 X 2 design there are two factors, A and B. Therefore, there would be three possible effects: A and B main effects, and the AB interaction.)
    a.  2 X 3 X 2
    b. 2 X 3 X 2 X 2
    c. 2 X 3 X 2 X 2 X 2

  2. Generate several factorial matrices with hypothetical data. For example:

      A1 A2 A3
    B1 10 15

    10
    B2 15 20 15
    B3 25 30 25

    For each, indicate whether interactions and/or main effects are likely.

  3. For each of the above matrices that you have generated, draw an appropriate graph of the results.

  4. For each of the following (i) indicate how many factors are included and (ii) tell how many levels there are for each factor:
    a. 2 X 2
    b. 2 X 3
    c. 2 X 3 X 2
    d. 4 X 3
    e. 4 X 3 X 2 X 3

  5. For each of the preceding, draw the appropriate matrix and label the factors and levels.

  6. Given the following cell means and ANOVA summary table, how would you interpret the results?