Consider the following actual data from a study by Lyon and Greenberg (1991). The first factor in their factorial ANOVA was family background; female participants were classified into two groups (Group 1: codependent, women with an alcoholic parent; Group 2: non-codependent, women with nonalcoholic parents). Members of these two groups were randomly assigned to one of two conditions; they were asked to donate time to help a man who was described to them as either Mr. Wrong (exploitative, selfish, and dishonest) or Mr. Right (nurturant, helpful). The researchers predicted that women from a non-codependent/nonalcoholic family background would be more helpful to a person described as nurturant and helpful, whereas women from a codependent/alcoholic family background would be more helpful to a person described as needy, exploitative, and selfish. The table of means below represents the amount of time donated in minutes in each of the four cells of this 2 × 2 factorial design. In each cell, the first entry is the mean, and the standard deviation is given in parentheses. The n in each cell was 12. B1, Mr. Wrong B2, Mr. Right A1 (codependent family background) 133.84 (54.24) 12.50 (29.88) A2 (non-codependent family background) 0.00 (0.0) 60.00 (70.06) The reported F ratios were as follows: FA(1,44)=9.89,p<.003 FB(1,44)=4.99,p<.03 FA×B(1,44)=43.64,p<.0001 Calculate an η2 effect size for each of these effects (A and B main effects and the A × B interaction). (Recall that η2 = dfbetween × F/[dfbetween × F + dfwithin].)
Consider the following actual data from a study by Lyon and Greenberg (1991). The first factor in their factorial ANOVA was family background; female participants were classified into two groups (Group 1: codependent, women with an alcoholic parent; Group 2: non-codependent, women with nonalcoholic parents). Members of these two groups were randomly assigned to one of two conditions; they were asked to donate time to help a man who was described to them as either Mr. Wrong (exploitative, selfish, and dishonest) or Mr. Right (nurturant, helpful). The researchers predicted that women from a non-codependent/nonalcoholic family background would be more helpful to a person described as nurturant and helpful, whereas women from a codependent/alcoholic family background would be more helpful to a person described as needy, exploitative, and selfish.
The table of means below represents the amount of time donated in minutes in each of the four cells of this 2 × 2 factorial design. In each cell, the first entry is the mean, and the standard deviation is given in parentheses. The n in each cell was 12.
|
B1, Mr. Wrong |
B2, Mr. Right |
|
|
A1 (codependent family background) |
133.84 (54.24) |
12.50 (29.88) |
|
A2 (non-codependent family background) |
0.00 (0.0) |
60.00 (70.06) |
The reported F ratios were as follows:
FA(1,44)=9.89,p<.003
FB(1,44)=4.99,p<.03
FA×B(1,44)=43.64,p<.0001
- Calculate an η2 effect size for each of these effects (A and B main effects and the A × B interaction). (Recall that η2 = dfbetween × F/[dfbetween × F + dfwithin].)
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