Exam 17: Two-Way Between-Subjects Analysis of Variance

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When dealing with sample data,we can determine the existence of main effects and interactions in populations by mere visual inspection of sample means or slopes of lines in a graph.

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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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How many groups are there in a 3 X 3 factorial design?

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One statistical technique for analyzing the relationship between a dependent variable and two or more independent variables is ____.

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The F ratio formed by MSB/MSWITHIN is used to test the null hypothesis with respect to the main effect of factor B.

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The critical F value for degrees of freedom (1,76)is 3.96. The critical F value for degrees of freedom (1,76)is 3.96.       The joint effects of Variable A and Variable B on the DV is tested using the F ratio for the _____ effect. The critical F value for degrees of freedom (1,76)is 3.96.       The joint effects of Variable A and Variable B on the DV is tested using the F ratio for the _____ effect. The joint effects of Variable A and Variable B on the DV is tested using the F ratio for the _____ effect.

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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 B in this example? Using your knowledge of general patterns of plotted means in a two-way ANOVA,does there appear to be a main effect of variable B in this example?

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SSTOTAL = SSA + SSB + SSAXB + ____________________.

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

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Stated informally,the null hypothesis for an interaction effect is that the nature and/or magnitude of the mean differences on the independent variable as a function of the other independent variable differs depending on the level of the dependent variable.

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

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Two-way factorial designs allow us to study:

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In two-way analysis of variance,each of the components of SSBETWEEN is multiplied by its respective degrees of freedom and the resulting mean squares,MSA,MSB,and MSAxB,are then divided by MSTOTAL to yield t ratios.

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

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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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