Exam 10: Factorial Analysis of Variance

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An interaction effect in a two-way factorial design

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Advanced topic: In a factorial analysis of variance,the effect size for each main and interaction effect

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In research articles,the results of a factorial analysis of variance

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In a factorial analysis of variance,the numerator for the row main effect is based on the variation among __________.

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What is the relationship between the amount of time spent shopping, Short (under 15 minutes) or Long (over 15 minutes), and the age of the shopper, Young (under 22) or Old (over 22), and the amount of money spent by shoppers in a music store. What is the relationship between the amount of time spent shopping, Short (under 15 minutes) or Long (over 15 minutes), and the age of the shopper, Young (under 22) or Old (over 22), and the amount of money spent by shoppers in a music store.   -Which interpretation is consistent with Scenario A? -Which interpretation is consistent with Scenario A?

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The scenarios below are possible results of a study in which participants completed a measure of how important religion was to them personally. Participants are either from a Rural or Urban area, and are either Poor or Rich. The scenarios below are possible results of a study in which participants completed a measure of how important religion was to them personally. Participants are either from a Rural or Urban area, and are either Poor or Rich.   -Which statement is true about Scenario B? -Which statement is true about Scenario B?

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In a two-way analysis of variance,a difference between the means on one variable,ignoring the effects of the other variable,is a(n)__________.

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Interaction effects can be described verbally,numerically,and __________.

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If the top row of a 3 × 2 table of cell means consists of an 8,a 7,and a 6,and the bottom row of a 6,a 7,and an 8,the pattern of means indicates the presence of a(n)__________ effect.

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The scenarios below are possible results of a study in which participants completed a measure of how important religion was to them personally. Participants are either from a Rural or Urban area, and are either Poor or Rich. The scenarios below are possible results of a study in which participants completed a measure of how important religion was to them personally. Participants are either from a Rural or Urban area, and are either Poor or Rich.   -Which of the following interpretations is consistent with Scenario A? -Which of the following interpretations is consistent with Scenario A?

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A researcher is interested in the effects of sleep deprivation and caffeine intake on mood.Participants were randomly assigned to a sleep condition (normal or deprived)and a caffeine condition (0 cups,2 cups,or 4 cups).After the manipulations,mood was measured (such that higher numbers indicated better mood).The results were as follows: A researcher is interested in the effects of sleep deprivation and caffeine intake on mood.Participants were randomly assigned to a sleep condition (normal or deprived)and a caffeine condition (0 cups,2 cups,or 4 cups).After the manipulations,mood was measured (such that higher numbers indicated better mood).The results were as follows:   a.Make a chart and graph of the cell and marginal means. b.Analyze these data using a factorial analysis of variance,testing each effect at the .01 level,and including R<sup>2</sup> for each effect. c.Explain your analysis and conclusions to a person who is familiar with one-way analysis of variance (including the structural model),but who does not know anything about factorial designs or the two-way analysis of variance. a.Make a chart and graph of the cell and marginal means. b.Analyze these data using a factorial analysis of variance,testing each effect at the .01 level,and including R2 for each effect. c.Explain your analysis and conclusions to a person who is familiar with one-way analysis of variance (including the structural model),but who does not know anything about factorial designs or the two-way analysis of variance.

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In a 2 × 2 analysis of variance,the variation between (a)the mean of all the scores in one diagonal,and (b)the mean of all the scores in the other diagonal are used to figure the numerator for a(n)__________ effect.

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A 2 × 3 factorial design has

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In a three-way factorial design,there can be

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A consumer psychologist is interested in the effects of Annual Income and Motivations to Shop on shopping patterns of consumers.If Annual Income is divided into two levels (High and Moderate)and Motivation to Shop is divided into three levels (Escape,Necessity,and Socializing),and both are considered in one study,the number of cells will be

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Advanced topic: Using the structural model of the two-way analysis of variance,the first computation is the overall deviation of the score from the grand mean.Next,the deviation of the score from its cell's mean,the deviation of the score's row's mean from the grand mean,and the deviation of the score's column's mean from the grand mean are computed.The remaining deviation is the basis of

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Advanced topic: According to the structural model of the two-way analysis of variance,each score's overall deviation from the grand mean is divided into

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In a 4 × 2 design,"2" means that __________.

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A study that contains one between-subjects grouping variable and one within-subjects grouping variable is referred to as a(n)__________.

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In a graph of a two-way analysis of variance,the absence of an interaction effect is indicated when the pattern of bars in one section is __________ the pattern of bars in the other section.

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