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

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In order to determine whether there is a relationship between the IV and the DV in a two-way ANOVA,the ____________________ statistic is calculated.

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The two-way between-subjects ANOVA is appropriate for use with a dependent variable that is quantitative or qualitative.

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Assuming there are unequal numbers of subjects in each group,the main effect means can be calculated by taking the sum of the two cells in a given column.

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An advantage of the two-way ANOVA is that we can study the joint effects of two variables.

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Factorial designs can be used to study

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If a researcher suspects that the strength of the relationship in the population is .30 for the main effect of factor A,.10 for factor B,and .07 for the interaction effect as indexed by eta-squared,what sample size should she use per cell in a study involving three levels of factor A,five levels of factor B,and an alpha level of .05 in order to achieve a power of at least .80 for each effect?

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As the number of groups in the factorial design increases,_____ becomes increasingly problematic.

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As with the sums of squares,the mean squares are additive,such that: MSTOTAL = MSA + MSB + MSAxB + MSWITHIN

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In two-way between-subjects analysis of variance,the relevant mean squares are obtained by dividing the sum of squares for each source of between-group variability by its degrees of freedom.

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In the two-way ANOVA,which of the following sources of variability is NOT a component of the sum of squares between?

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A statistically significant interaction effect in a two-way ANOVA means that the effect of one variable ____________________ the level of the second variable.

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In two-way between-subjects analysis of variance,dfTOTAL = N - 1.

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The strengths of the relationships for the three sources of between-group variability are assessed with:

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In general,statisticians recommend the use of _____ over _____ in determining the nature of a statistically significant interaction effect.

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The problem of an inflated Type I error rate can be controlled for interaction comparisons by using a:

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In a 2 X 3 factorial design,there are ____________________ groups. or

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In a two-way between-subjects ANOVA,a factor is another name for

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Two-way factorial designs allow us to study:

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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 an interaction in this example? Using your knowledge of general patterns of plotted means in a two-way ANOVA,does there appear to be an interaction in this example?

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The total sum of squares in two-way between-subjects analysis of variance can be represented as SSTOTAL = SSWITHIN + SSERROR.

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