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  | 
|||||
| 
 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: ________________________
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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