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

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The test of the null hypothesis for the main effect of factor A is made with reference to the F value derived from SSA/MSA.

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If the ANOVA method is used to test for differences between means,then why is it called an "analysis of variance"?

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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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A problem with the strategy of examining all possible 2 X 2 subtables following a significant interaction is that it does not adequately control the _____ at _____.

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When graphing sample means,nonparallel lines may indicate the existence of an interaction,or may indicate sampling error.

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    Note: The critical F value for degrees of freedom (1,76)is 3.96. The test for the main effect of Variable B focuses on the difference between the _________.     Note: The critical F value for degrees of freedom (1,76)is 3.96. The test for the main effect of Variable B focuses on the difference between the _________. Note: The critical F value for degrees of freedom (1,76)is 3.96. The test for the "main effect" of Variable B focuses on the difference between the _________.

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When a statistically significant _____ effect has only two levels,the nature of the relationship is determined in the same fashion as for the independent groups t test.

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The nature of an interaction can be determined by ___.

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A significant main effect means that,collapsing across the levels of the other independent variable,the means for an independent variable are not all equal.

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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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What are the assumptions of the F tests in two-way analysis of variance?

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In a two-way between subjects ANOVA,the dependent variable is quantitative and measured on a level that at least approximates an ____________________ level of measurement.

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As the number of groups in the factorial design increases,homogeneity of population variances becomes increasingly problematic.

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Dr.Fleet is interested in studying the effect of gender,years of undergraduate college (0-4 years),and marital status (single,married,divorced,or widowed.on the annual income of residents of the northeastern United States.Which of the following describes a design that she might use?

(Multiple Choice)
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In the modified Bonferroni procedure used for interaction comparisons,to be statistically significant,the largest F ratio must yield a p value

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When dealing with sample data,the existence of a given population main effect or interaction can be affirmed only by a:

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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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The F ratio formed by SSA/SSWITHIN is used to test the null hypothesis with respect to:

(Multiple Choice)
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A between-groups factorial ANOVA differs from a between-groups one-way ANOVA in which of the following ways?

(Multiple Choice)
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When dealing with population means,if the lines in a graph are _____,this suggests the presence of an interaction.

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