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

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A 2 X 3 factorial design has three independent variables.

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If a statistically significant main effect has three or more levels,then the nature of the relationship is determined using a(n):

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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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Mean square within (MSWITHIN)can be defined as

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The F tests for two-way between-subjects analysis of variance assume that the scores in each population:

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Simple main effects analyses focus on 2 X 2 subtables within a factorial design.

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When a statistically significant main effect has only two levels,the nature of the relationship is determined in the same fashion as for the independent groups t test;if a statistically significant main effect has three or more levels,then the nature of the relationship is determined using an HSD procedure.

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In a follow-up test,two population means are considered to be different if the difference between their sample means is ____ the critical difference determined by Tukey's procedure.

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When a main effect for a variable with 3 levels is statistically significant,the nature of the relationship can be determined by examining the group means.

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

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When the sample sizes are the same in all cells,the two independent variables are _____ to each other

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Two-way factorial designs allow us to address three important questions.What are they?

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Use the following information to answer the questions and do the calculations below. One area of interest to social psychologists is how various factors influence outcomes of criminal trials.For example,a researcher might study the influence of characteristics of the defendant on jury decisions.Specifically,a researcher might be interested in how the type of crime and attractiveness of the defendant influence perceptions of guilt.In this example,a researcher could examine the individual effects of each factor as well as the interaction.Assume this study was conducted and the following data was obtained. Use the following information to answer the questions and do the calculations below. One area of interest to social psychologists is how various factors influence outcomes of criminal trials.For example,a researcher might study the influence of characteristics of the defendant on jury decisions.Specifically,a researcher might be interested in how the type of crime and attractiveness of the defendant influence perceptions of guilt.In this example,a researcher could examine the individual effects of each factor as well as the interaction.Assume this study was conducted and the following data was obtained.     a.Calculate the sum of squares for factor A. b.Calculate the sum of squares for factor B. c.Calculate the sum of squares for the interaction. d.Complete the summary table below.(NOTE: Students can be required to fill in all,or only parts,of the summary table. )   a.Calculate the sum of squares for factor A. b.Calculate the sum of squares for factor B. c.Calculate the sum of squares for the interaction. d.Complete the summary table below.(NOTE: Students can be required to fill in all,or only parts,of the summary table. ) Use the following information to answer the questions and do the calculations below. One area of interest to social psychologists is how various factors influence outcomes of criminal trials.For example,a researcher might study the influence of characteristics of the defendant on jury decisions.Specifically,a researcher might be interested in how the type of crime and attractiveness of the defendant influence perceptions of guilt.In this example,a researcher could examine the individual effects of each factor as well as the interaction.Assume this study was conducted and the following data was obtained.     a.Calculate the sum of squares for factor A. b.Calculate the sum of squares for factor B. c.Calculate the sum of squares for the interaction. d.Complete the summary table below.(NOTE: Students can be required to fill in all,or only parts,of the summary table. )

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What is one of the main advantages of the two-way between-subjects factorial design?

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When the sample sizes in each cell are moderate to large in size and the same for all groups,the F test is quite robust to even marked departures from normality.

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After a 2 x 2 factorial ANOVA has been used to determine that a statistically significant relationship exists between the dependent variable and an independent variable,a(n)____ can be calculated to indicate the strength of the relationship.

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