Exam 17: Factorial Analysis of Variance

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Which of the following is not an advantage of factorial designs over one-way designs?

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In a factorial analysis of variance you cannot have

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A simple effect is defined as

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Use the following ANOVA summary table to answer the following four questions: Use the following ANOVA summary table to answer the following four questions:   The summary table suggests which of the following conclusions? The summary table suggests which of the following conclusions?

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Use the following ANOVA summary table to answer the following four questions: Use the following ANOVA summary table to answer the following four questions:   What does the significant F for Group most likely mean? What does the significant F for Group most likely mean?

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A human resources director for a large company wanted to compare salaries based on minority status and the type of job.   Answer the following questions based on the following SPSS output. A human resources director for a large company wanted to compare salaries based on minority status and the type of job.   Answer the following questions based on the following SPSS output.     -Calculate and explain η<sup>2</sup> for the significant effects from the previous data. -Calculate and explain η2 for the significant effects from the previous data.

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In the three graphs below, which one is most likely to have a main effect for quarters (the variable that increases along the X axis)? In the three graphs below, which one is most likely to have a main effect for quarters (the variable that increases along the X axis)?   ​

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In the Spilich et al. study of the effects of smoking that was discussed in the text, active smokers were found to do better than nonsmokers on a driving task but did worse than nonsmokers on a cognitive task. However, over all three tasks (the third was pattern recognition and the groups were not different on that) active smokers did not differ from nonsmokers on performance. The results suggest

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The degrees of freedom for an interaction in a two-way factorial are equal to

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In a study which investigated the effects of amount of coffee consumption and mood (good or bad) on driving speed, the magnitude of effects estimates were as follows: Coffee: In a study which investigated the effects of amount of coffee consumption and mood (good or bad) on driving speed, the magnitude of effects estimates were as follows: Coffee:   ; Mood:   ; Coffee × Mood:   . Together, how much of the variability in driving speed is accounted for by Coffee, Mood, and their interaction? ; Mood: In a study which investigated the effects of amount of coffee consumption and mood (good or bad) on driving speed, the magnitude of effects estimates were as follows: Coffee:   ; Mood:   ; Coffee × Mood:   . Together, how much of the variability in driving speed is accounted for by Coffee, Mood, and their interaction? ; Coffee × Mood: In a study which investigated the effects of amount of coffee consumption and mood (good or bad) on driving speed, the magnitude of effects estimates were as follows: Coffee:   ; Mood:   ; Coffee × Mood:   . Together, how much of the variability in driving speed is accounted for by Coffee, Mood, and their interaction? . Together, how much of the variability in driving speed is accounted for by Coffee, Mood, and their interaction?

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The mean difference in GPA based on gender is an interaction effect.

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A doctor examining the effectiveness of smoking cessation programs wanted to examine the independent and joint effect of a support group and the patch. The following data are the average number of packs smoked 2 weeks after the interventions. Each group consisted of 10 people. Answer the following questions based on this table of means. A doctor examining the effectiveness of smoking cessation programs wanted to examine the independent and joint effect of a support group and the patch. The following data are the average number of packs smoked 2 weeks after the interventions. Each group consisted of 10 people. Answer the following questions based on this table of means.      a. What is the grand mean?  b. Calculate the mean packs smoked at each level of support group.  c. Calculate the mean packs smokes at each level of the patch. a. What is the grand mean? b. Calculate the mean packs smoked at each level of support group. c. Calculate the mean packs smokes at each level of the patch.

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The notation The notation   ... stands for ... stands for

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A researcher noted that there was a significant interaction effect of amount of time studying and hours of sleep the night before an exam on exam scores. He calculated simple effects to try to interpret the data. Here are the results. Graph them and explain the nature of the interaction. A researcher noted that there was a significant interaction effect of amount of time studying and hours of sleep the night before an exam on exam scores. He calculated simple effects to try to interpret the data. Here are the results. Graph them and explain the nature of the interaction.

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   -Plot the data from the previous question three times (each main effect and the interaction effect); interpret the graphs.   -Plot the data from the previous question three times (each main effect and the interaction effect); interpret the graphs.

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If ω2 is calculated to yield the magnitude of effect estimates instead of η2 for a particular experiment, the ω2 estimates would probably be

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The following is a printout from SPSS. The following is a printout from SPSS.   From this table, which of the following conclusions would be wrong? From this table, which of the following conclusions would be wrong?

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A human resources director for a large company wanted to compare salaries based on minority status and the type of job.   Answer the following questions based on the following SPSS output. A human resources director for a large company wanted to compare salaries based on minority status and the type of job.   Answer the following questions based on the following SPSS output.     -a. How many levels are there for each factor?  b. Which effects are statistically significant? -a. How many levels are there for each factor? b. Which effects are statistically significant?

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_______ are the effect of one variable at one level of the other variable.

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A 2 × 4 factorial has

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