Exam 16: Two-Way Between-Subjects Analysis of Variance

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In a two-way ANOVA,the _____ is further partitioned into three components,SSA,SSB,and SSAxB.

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Discuss the robustness of the F tests in two-way analysis of variance.

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How many groups of individuals would be included in a 4 x 2 factorial design?

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Assume the following is a population means table: Assume the following is a population means table:   Using your knowledge of general patterns of plotted means in a two-way ANOVA,does there appear to be a main effect of variable A in this example?(Hint: Graphing the means might help. ) Using your knowledge of general patterns of plotted means in a two-way ANOVA,does there appear to be a main effect of variable A in this example?(Hint: Graphing the means might help. )

(Multiple Choice)
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If a researcher suspects that the strength of the relationship in the population is .25 for the main effect of factor A,.03 for factor B,and .15 for the interaction effect as indexed by eta-squared,what sample size should she use per cell in a study involving four levels of factor A,two levels of factor B,and an alpha level of .05 in order to achieve a power of at least .95 for each effect?

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The manner in which we choose to state an interaction is arbitrary.

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Eta-squared can be used to assess the strength of the relationships for the two main effects,but not for the interaction effect.

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As with one-way analysis of variance,under certain conditions the F tests are robust to violations of the _____ assumption.

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Discuss the analysis of main effects in terms of the nature of the relationship in two-way analysis of variance.

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The F test is particularly robust to violations of the normality and homogeneity of variance assumptions when sample sizes are _____ and relatively _____.

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If a factorial ANOVA is computed and a statistically significant main effect is determined for a factor that has two levels,the nature of the relationship should be determined by ____.

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When an interaction effect is statistically significant,the nature of the interaction can be determined using simple main effects analysis or interaction comparisons.

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The data analysis for a two-way ANOVA is the same regardless of whether group sample sizes are equal or unequal.

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The joint effects of two independent variables on a dependent variable can be studied using:

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In a two-way between-subjects analysis of variance,how many sets of statistical hypotheses are examined?

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Two statistical procedures used to determine the nature of the interaction are

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What problem might arise in using interaction contrasts to determine the nature of an interaction effect?

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