Exam 11: Factorial Anova

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Using the following summary of results, how many levels exist in factors A and B, respectively? (Assume a between-groups, fixed-factors model.) Source of SS df MS F Variation Factor A 500 2 Factor B C 3 200 AB Interaction 900 F 1 Within D 60 50 Total E G

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An analysis of GPA by class standing (FR, SO, JR, SR) and major (Social Science [SS] or Natural Science [NS]) revealed the following mean values: Which of the following conclusions would be most likely? 2.7 2.8 3.1 3.2 2.6 2.8 3.0 3.2

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Which design can be used to test for the existence of interactions?

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In a 3 x 5 between-between design, what are the degrees of freedom for the numerators of the three F-ratios?

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Many junior high school students drink colas on a daily basis. A researcher is interested in testing the effects of cola ingestion on academic performance (AP) for girls in the ninth grade. One thousand ninth-grade girls are the subjects. They are grouped according to the number of colas they drink each day (low, medium, and high). The researcher concluded that cola ingestion had an effect on academic performance. What are the independent variable (IV) and dependent variable (DV) in this study?

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Which of the following describes an interaction between independent variables?

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What is the only way to determine whether an interaction exists between independent variables?

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Using the following summary of results, what are the values that have been replaced by letters? (Assume a between-groups, fixed-factors model.) Source of SS df MS F Variation Factor A 500 2 Factor B C 3 200 AB Interaction 900 F Within D 60 50 Total E G -E_____

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What is the total number of measurements taken for a 3 x 2 factorial experiment, if both independent variables are within factors and there are 20 subjects?

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An ANOVA is designed to assess the effects of gender, three classifications of social-economic status, and two teaching methods on the learning of statistical concepts. Which design is appropriate?

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In a 2 x 4 within-within design, there are 10 subjects in the cell where the first levels of each independent variable intersect. What is the total number of subjects needed to carry out this experiment?

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You have designed an experiment with three independent variables: mode of presentation (visual, auditory); difficulty level (easy, difficult); and amount of information (minimal, moderate, maximum). How many main effects would be tested?

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