Question

In: Statistics and Probability

Two-Way Between-Subjects ANOVA A hypothetical study investigated the extent to which heterosexual men and women were...

  1. Two-Way Between-Subjects ANOVA

A hypothetical study investigated the extent to which heterosexual men and women were willing to forgive an opposite-sex partner for transgressions in a relationship. Men and women participants completed a questionnaire in which they read five different scenarios about an opposite-sex partner who transgressed in a relationship. After each scenario, participants rated their willingness to forgive on a scale from 1 (not forgive at all) to 7 (definitely forgive). Hence, total ratings could range from 5 (all 1s recorded) to 42 (all 7s recorded). The table lists the data for this hypothetical between-subjects study. Test whether gender and relationship status influenced forgiveness at a .05 level of significance.

Relationship Status

Short-Term

Long-Term

Gender

Men

18

8

24

22

12

20

9

11

12

5

29

21

13

25

9

30

32

28

36

28

Women

28

18

34

32

22

27

19

21

14

14

27

32

28

25

28

24

31

25

20

25

Based on the output given in SPSS, Complete the following F table:

Sources of Variation

SS

df

MS

F statistic

Sig. (p value)

Gender

Status

Gender * Status

Error

Based on the value of the test statistics, what is the decision for the for each factor in the two-way between-subjects ANOVA (highlight one)

Gender: Not Significant Significant

Status: Not Significant Significant

Gender * Status Not Significant Significant

Write the statistic in APA format

Gender: ________________________

Status: ________________________

Gender * Status: ________________________

Solutions

Expert Solution

The SPSS output is:

The F-table is:

Sources of Variation SS df MS F statistic Sig. (p value)
Gender 260.1 1 260.1 4.167 0.049
Status 0.4 1 0.4 0.006 0.937
Gender * Status 3.6 1 3.6 0.058 0.812
Error 2247 36

Gender: Significant

Status: Not Significant

Gender * Status Not Significant

There is a signfiicant main effect of Gender. (F (1, 36) = 4.167, p = 0.049 < 0.05)

There is no signfiicant main effect of Status. (F (1, 36) = 0.006, p = 0.937 > 0.05)

There is no signfiicant interaction effect. (F (1, 36) = 0.058, p = 0.812 > 0.05)

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