How were the between-group degrees of freedom for the interaction calculated?
In an experiment that examined the effects of food and food labels on liking, an experimenter randomly assigned participants to receive a plate of food, either pasta, steamed vegetables, seafood, or a steak. The experimenter also told participants it was either “traditional American food” or “exotic food.” Use the following APA style write-up to answer the question that follow it.
A two-way ANOVA on offensiveness suggested no main effect of type of food, F(3, 154) = 1.15, p = .346, ?2 = .009, and no main effect of food label, F(1, 154) = 0.87, p = .682, ?2 = .003. However, there was an interaction between type of food and label of food, F(3, 154) = 6.32, p = .08, ?2 = .089. Participants liked pasta more when it was supposedly exotic (M = 9.93) than when it was American (M = 5.20), p < .01, d = 0.45. Likewise, steak was liked more when it was labeled exotic (M = 9.92) than when it was labeled American (M = 4.92), p < .01, d = 0. 50. However, participants preferred steamed vegetables more when it was labeled American (M = 5.55) than when it was labeled as being exotic food (M = 2.03), p < .02, d = 0.34. There were no differences in preference for seafood when it was labeled American (M = 5.66) or exotic (M = 5.32), p = .55, d = 0.06.
Ans: 3 (between-groups df for the main effect of type of food) x 1 (between-groups df for the main effect of label of food) = 3
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