Statistics - Two-way ANOVAs are used when we have multiple dependent variables in our design
Question 1
- Two-way ANOVAs are used when we have multiple dependent variables in our design.
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True |
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False |
Question 2
- In a factorial design multiple independent effects are tested simultaneously.
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True |
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False |
Question 3
- Consider these two tables of cell means. Which one shows evidence of a possible interaction?
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Table 1 |
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Table 2 |
Question 4
- The two-way ANOVA results in the calculation of three F-ratios.
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True |
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False |
Question 5
- A 3 x 3 analysis of variance was conducted to examine the effect of race and type of course on university students’ sense of community. The results of the interaction effect revealed, F(2,58) = 1.84, p= .50, observed power = .56. The results for the main effect for course were, F(2, 58) = 7.56, p= .01, η2 = .02. The results for the main effect for race were F(2, 58) = 2.54, p= .22,η2= .001. How can these results be interpreted?
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An 3 x 3 analysis of variance demonstrated that the interaction effect was not significant. The main effect for race and type of course did not reach statistical significance. |
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An 3 x 3 analysis of variance demonstrated that the interaction effect was not significant. There was a statically significant main effect for type of course and race. |
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An 3 x 3 analysis of variance demonstrated that the interaction effect was not significant. There was a statically significant main effect for type of course. The main effect for race did not reach statistical significance. |
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An 3 x 3 analysis of variance demonstrated that the interaction effect was not significant. The main effect for type of course did not reach statistical significance. There was a statically significant main effect for race. |
Question 6
- A histogram is used for what purpose when conducting a two-way ANOVA?
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The normality assumption |
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The significance of the test |
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The homogeneity of variance assumption |
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The assumption of extreme outliers |
Question 7
- A two-way ANOVA can be used in experimental and quasi- experimental studies.
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True |
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False |
Question 8
- Joe wanted to test the following research question:
Is there difference in course points of male and female graduate students’ who are using (video conferencing, audio conferencing, or discussion board) in their online course?
What type of design would he use?
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2 X 3 |
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2 x 6 |
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3 X 3 |
Question 9
- When the lines in a graph of the cell means intersect in a two-way ANOVA, you can conclude that:
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neither the main effect for factor A nor factor B is statistically significant.
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main effects for factor A and factor B are statistically significant.
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the interaction effect of factor A and factor B is statistically significant.
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the assumption of homogeneity of variance within groups has been violated. |
Question 10
- In planning a study involving a two-way ANOVA, which is nottrue:
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using equal number of subjects per cell makes the analysis simpler and maximizes power. |
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the minimum number of subjects per cell can be 5 to 8. |
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the number of groups for each factor should not be so large as to make gathering enough subjects difficult. |
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as in one-way ANOVA, random assignment of subjects improves internal validity. |
Question 11
- What would be the minimum group size for a two-way ANOVA for large effect size were eta squared = .15, alpha = .05, df = 2, and statistical power equals .80?
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19 |
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25 |
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16 |
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30 |
Question 12
- For a two-way ANOVA, how does a researcherassess whether the assumption of homogeneity of variance is violated?
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Histograms |
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Shapiro-Wilk test |
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Kolmogorov-Smirnov test |
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Levene’s test |
Question 13
- If the interaction in a factorial ANOVA is statistically significant, the researcher:
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should not analyze the effects of factor A or factor B because they would be meaningless. |
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should use separate ANOVA analyses to determine the effects of factor A and factor B. |
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may use a common post hoc analysis to determine the effects of factor A and factor B. |
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may assume that the effects of factor A and factor B are statistically significant as well. |
Question 14
- When the lines in a graph of the cell means are parallel in two-way ANOVA, we can conclude that:
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neither the main effect for factor A nor factor B is statistically significant. |
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main effects for factor A and factor B are statistically significant. |
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the interaction effect of factor A and factor B is statistically significant. |
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the interaction effect of factor A and factor B is not statistically significant. |
Question 15
- Another term for the two-way ANOVA is a "factorial ANOVA."
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True |
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False |
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Solution: Statistics - Two-way ANOVAs are used when we have multiple dependent variables in our design