In: Statistics and Probability
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 |
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Status |
|||||
Gender * Status |
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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: ________________________
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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