In: Statistics and Probability
In this section you will interpret output that is provided (you do NOT need to run anything for this scenario).
I am interested in testing whether the section of SOC390 that a participant was in (Variable name = Class; 1= Miller, 2 = Field, 3= Smith) influences their exam scores (Variable name = exam_scores). I also think that gender might also influence exam scores (Variable name = Gender; 0 = female, 1 = male). To test this, I conducted a two-way ANOVA. There is a lot of output associated with a two-way ANOVA – we are only going to focus on the output below.
| 
 Tests of Between-Subjects Effects  | 
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| 
 Dependent Variable: Hypothetical exam scores (out of 100)  | 
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| 
 Source  | 
 Type III Sum of Squares  | 
 df  | 
 Mean Square  | 
 F  | 
 Sig.  | 
| 
 Corrected Model  | 
 742.256a  | 
 5  | 
 148.451  | 
 2.783  | 
 .023  | 
| 
 Intercept  | 
 477185.101  | 
 1  | 
 477185.101  | 
 8945.486  | 
 .000  | 
| 
 Class  | 
 632.711  | 
 2  | 
 316.355  | 
 5.931  | 
 .004  | 
| 
 gender  | 
 2.943  | 
 1  | 
 2.943  | 
 .055  | 
 .815  | 
| 
 Class * gender  | 
 234.748  | 
 2  | 
 117.374  | 
 2.200  | 
 .118  | 
| 
 Error  | 
 3947.432  | 
 74  | 
 53.344  | 
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| 
 Total  | 
 588655.000  | 
 80  | 
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| 
 Corrected Total  | 
 4689.688  | 
 79  | 
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| 
 a. R Squared = .158 (Adjusted R Squared = .101)  | 
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18. What are the two factors in this example? How many levels are on each factor?
[2 points]
19. What is the dependent variable? [2 points]
20. In the output above, there are two main effects and an interaction effect being tested. First: assuming α = .05, what are the conclusions for these tests (significant or not significant)? Second: For each, provide the F statistic including degrees of freedom and p-value. [6 points]
Fclass(__________, ___________) = ________, p =___________ à Significant or not significant? Not significant
Fgender ( ________, _________) = _________, p =________ à Significant or not significant? Significant
FclassXgender(_______,_______) = _________, p = à Significant or not significant? Not significant