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

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

You may need to use the appropriate table in Appendix B to answer this question.

Source of Variation SS df MS F Gender 5 Promiscuity Gender × Promiscuity 146 Error 570 114 Total 831

Explanation / Answer

Here the F - table is given below

Here SS(promscuity) = 831 - 5 - 146 - 570 = 110

F (criticical) = FINV(0.05, dF(A/B/A X B), dF(error)

(b)

State the decision for the main effect of gender.

Retain the null hypothesis.

State the decision for the main effect of promiscuity.

Reject the null hypothesis.    

State the decision for the interaction effect.

Reject the null hypothesis.   

(b) Here for the next stage as we know that result for promiscuity is significant here so pairwise comparisons will be done for that.

Source of Variation SS df MS F F(Crit) Gender 5 1 5 1 3.9243 Promiscuity 110 2 55 11 3.0759 Gender × Promiscuity 146 2 73 14.6 3.0759 Error 570 114 5 Total 831

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