van den Bos et al. (2006) analyzed Y = Outcome Satisfaction for 138 participants in an experiment with two factors: Cognitive Busyness (low or high) and Outcome (equal to others, better than others, worse than others). The mean values for Y within each cell are given below.
(a) Construct a profile plot that will allow you to inspect the apparent effects in the data.
(b) The authors cite the following test statistics from the two-way ANOVA:
Main effect for Outcome: F(2; 132) = 236:56, p
0:001
Main effect for Busyness: F(1; 132) = 4:36, p
0:04
Interaction: F(2; 132) = 3:38, p
0:04
Use this information, together with your profile plot, to write a short paragraph explaining the effects of these factors on Outcome Satisfaction.
(c) The authors carried out “the least significant difference test for means (p , :05) with the six cells of our design serving as the independent variable.” How many independent samples t tests are implied by this statement?
(d) In the table above, cell means with the same letter in parentheses were not significantly different using the method described in part (c). The authors state “there were no effects of Cognitive Busyness within the equal-to-other and worsethan-other conditions.” Is this consistent with your profile plot and the formal test statistics given in part (b)?