2. For the graph in Figure 5, is there a main effect of B? Main effects only occ

Question

2. For the graph in Figure 5, is there a main effect of B? Main effects only occur with three factors, Impossible to tell from the graph, Yes,or No

3. For the graph in Figure 5, which level of A (averaging across B) is higher? Impossible to say, They are the same, A1, or A2

4. For the graph in Figure 5, is there a main effect of A? Impossible to tell from the graph, Yes, Main effects only occur with three factors, or No

5. A researcher performed a 4 X 3 factorial design experiment with both A and B as between-subject variables. If a total of 60 subjects were used in the study, how many subjects were assigned to each cell of the design (i.e., n)? 6, 5, 10, or 12

Explanation / Answer

The above figure clearly shows an interaction effect. In such cases, where strong interaction is evident between factors, main effects can not be sensibly interpreted. Statistically speaking, one should not interpret main effects in the presence of a significant interaction. Thus, for the above four answers,i.e., 1 to 4, main factor effects cannot be claimed. In order to judge this effect, one must refer the F summary table where the significant difference of row and column means can be judged.

Sol to part 5: ANSWER- 5 subjects were assigned to each cell of the design. Since 4*3 factorial design involves by default 12 subjects, i.e., 1 subject each cell. Thus, total of 60 subjects indicates 5 subjects assigned to each cell (60/12).

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