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) |
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