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To test the relationship between gender and ratings of a promiscuous partner, a

ID: 3316620 • Letter: T

Question

To test the relationship between gender and ratings of a promiscuous partner, a group of men and women was given a vignette describing a person of the opposite sex who was in a dating relationship with one, two, or three partners. Participants rated how positively they felt about the individual described in the vignette, with higher ratings indicating more positive feelings.

(a) Complete the F-table and make a decision to retain or reject the null hypothesis for each hypothesis test. (Assume experimentwise alpha equal to 0.05.)


State the decision for the main effect of gender.

Retain the null hypothesis. Reject the null hypothesis.    


State the decision for the main effect of promiscuity.

Retain the null hypothesis. Reject the null hypothesis.    


State the decision for the interaction effect.

Retain the null hypothesis. Reject the null hypothesis.    


(b) Based on the results you obtained, what is the next step?

Compute pairwise comparisons for the promiscuity factor. Compute pairwise comparisons for the gender factor.     Compute simple main effect tests for the significant interaction. No further analysis is needed, because none of the effects are significant.

Source of Variation SS df MS F Gender 15 Promiscuity Gender × Promiscuity 146 Error 570 114 Total 841

Explanation / Answer

from above below is completed ANOVA table:

decision for the main effect of gender : as F test statistic is lower than critical value ; Retain the null hypothesis.

decision for the main effect of promiscuity.s F test statistic is higher than critical value ; Reject the null hypothesis.

decision for the interaction effect F test statistic is higher than critical value ; Reject the null hypothesis.

b)

Compute pairwise comparisons for the promiscuity factor.

Source of Variation SS df MS F F crit Gender 15 1 15 3 3.924 Promiscuity 110 2 55 11 3.076 Gender × Promiscuity 146 2 73 14.6 3.076 Error 570 114 5 1 Total 841 119
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