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Exam 14: Analysis of Variance: Two-Way Between-Subjects Factorial Design

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Question 41

Multiple Choice

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Which source of variation,if significant,is typically analyzed first?

A) a main effect
B) the interaction

C) A) and B)
D) undefined

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Question 42

Multiple Choice

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The denominator of the test statistic for the main effects and interaction in a two-way between-subjects ANOVA

A) is equal to 0
B) is equal to mean square error
C) is equal to mean square between-groups
D) is a measure of variance for differences between groups

E) None of the above
F) A) and B)

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Question 43

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Simple main effect tests are necessary to analyze a significant interaction or a significant main effect.

A researcher computes a 2 $\times$ 3 factorial ANOVA.In this example,how many interactions can be observed?

Not including the total variation,how many sources of variation are measured in a two-way between-subjects ANOVA?

A researcher computes a two-way between-subjects ANOVA and finds a significant A $\times$ B interaction and two main effects.Which significant effect should be analyzed first?

A researcher computes a 3 $\times$ 5 between-subjects ANOVA.What are the degrees of freedom for the A $\times$ B interaction for this study?

A researcher computes two 2 $\times$ 2 between-subjects ANOVAs.In Study 1,he observes 8 participants in each cell;in Study 2,he observes 12 participants in each cell.Which study is associated with a larger value for degrees of freedom for the A $\times$ B interaction?

A researcher computes a two-way between-subjects ANOVA and finds a significant main effect of Factor A and an A $\times$ B interaction.Which significant effect should be analyzed first?

Which of the following is NOT an assumption for computing a two-way between-subjects ANOVA?

An A $\times$ B interaction is associated with 2 degrees of freedom in a 2 $\times$ 3 between-subjects ANOVA design.

If each main effect is significant,then the interaction must also be significant for a two-way between-subjects ANOVA.

Simple main effect tests are used to analyze a significant interaction by comparing the mean differences of one factor at each level of a second factor.

An A $\times$ B interaction is associated with 8 degrees of freedom in a 2 $\times$ 4 between-subjects ANOVA.

A researcher conducts two studies using the two-way between-subjects ANOVA.The sum of squares total is smaller in Study 1 than in Study 2;the sum of squares for Factor A is the same in both studies.In which study will the effect size be larger for Factor A using omega-squared?

The following APA summary of a significant main effect is correctly stated: "The main effect of comprehension level was significant,F(2,30)= 3.07,p < .05 (R² = .18).

A two-way ANOVA is a statistical procedure used to test hypotheses concerning the variance of two group means for the levels of one factor.

A researcher computes a 2 $\times$ 3 between-subjects ANOVA test in which 11 participants were observed in each condition.If F = 5.17 for both main effect tests and the A $\times$ B interaction test,then the decision for each test

A researcher randomly assigns different participants to each combination of levels for two factors.In this example,a two-way between-subjects ANOVA is appropriate to analyze the data.

If an interaction and a main effect are significant for a two-way between-subjects ANOVA,then the main effect must be analyzed first.