Exam 17: Factorial Analysis of Variance

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A 2 × 4 factorial involves two independent variables. One has two levels and the other has four.

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Which of the following is NOT true in a factorial analysis of variance?

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X13 refers to the value located in the first row and the third column.

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Three main effects and three interactions are tested in a factorial design with three independent variables.

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In the factorial design analyses discussed in Chapter 17, the different cells

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Determine whether each of the following effects is statistically significant at α = .05. Determine whether each of the following effects is statistically significant at α = .05.

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The mean difference in GPA based on Gender for Freshman only is a simple effect.

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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:   How many cells are there in this design? How many cells are there in this design?

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Using the example in the text of a participant receiving therapy while sitting in a bath of ice water, what would be the best denominator for calculating Using the example in the text of a participant receiving therapy while sitting in a bath of ice water, what would be the best denominator for calculating   ? ?

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A factorial design has at least

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To look at an interaction effect we must

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In the text the Eysenck study of recall as a function of Age and Instructions allowed us to see that

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In a factorial design based on two independent variables, three F values will be calculated.

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Use the following research scenario to answer the next four questions: A researcher was interested in the effects of 1) alcohol consumption and 2) content of a videotape, on how likely one is to support rape myths.  The researcher randomly assigned 60 college-aged males to one of the following three groups: no alcohol consumed, a moderated amount of alcohol consumed, and a large amount of alcohol consumed.  Additionally, half of the participants were shown the educational video on rape myths. The other half of the participants watched a documentary on owls (a control condition).  At the end of the study all the participants filled out a survey on rape myth acceptance.  Higher scores on the survey indicated higher acceptance of rape myths. The results indicated that the participants who watched the educational video scored significantly lower on the rape myth scale compared to the group that watched the owl video. What does this suggest?

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In analysis of variance, factor refers to independent variables.

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The main effect of a variable is

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Unequal sample sizes in a factorial analysis of variance

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A pediatrician is studying weight gain in infants. He divides them into 2 groups: breast fed and bottle fed. Further, he divides them into those whose mothers feed them on a timed schedule, and those whose mothers feed them when they cry (on demand). Weight gain is the dependent measure. What type of analysis should you run?

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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:   Why does Group have 4 degrees of freedom? Why does Group have 4 degrees of freedom?

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To calculate the F for the interaction in an analysis of variance we

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