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Unformatted text preview: STA 3024 Exam 2 Sample Questions 1. Suppose the figure shown below is an illustration of an F distribution as it pertains to a oneway ANOVA F test. 1 2 3 4 5 6 The shaded area represents the (A) null hypothesis. (B) total sum of squares. (C) pvalue. (D) normality assumption. (E) value of the test statistic. 2. A oneway ANOVA table is shown below. Source df SS MS Group 1 0.341 0.341 Error 6 30.600 5.100 Total 7 30.941 What is the value of the oneway ANOVA F test statistic? (A) 0.067 (B) 1.011 (C) 4.759 (D) 14.956 (E) 90.736 3. Suppose were planning an experiment using a twoway ANOVA setup with two categories of Factor A and two categories of Factor B, so that there are four combinations of factor categories. We have 16 subjects available for our experiment. If we want to use twoway ANOVA methods to analyze our data, which of the following should we do? (A) Each subject should be measured for each combination of factor categories (so there will be 64 total observations). (B) The subjects should be randomly divided with four subjects for each combination of factor categories (so there will be 16 total observations). (C) Either (A) or (B) would allow us to use twoway ANOVA methods to analyze our data. 4. In oneway ANOVA, an increase in the number of observations in each group would tend to cause the corresponding Tukey simultaneous 95% confidence intervals (for differences between group population means) to become (A) wider. (B) narrower. 5. For some particular problem, Researcher 1 conducts a single twoway ANOVA analysis, while Researcher 2 conducts two separate oneway ANOVA analyses. Which of the following is true? (A) Researcher 1s plan is better because it does not involve any pvalues. (B) Researcher 1s plan is better because it considers interaction effects. (C) Researcher 1s plan is worse because it considers more sources of variability. (D) Researcher 1s plan is worse because it requires a categorical response variable. 6. In oneway ANOVA, which of the following variables is categorical? (A) the explanatory variable (B) the response variable (C) both (A) and (B) (D) neither (A) nor (B) 7. A oneway ANOVA table is shown below with some items missing. Source df SS MS Group 5 0.845 0.169 Error 0.145 Total 6.935 What is df E ? (A) 13 (B) 30 (C) 32 (D) 42 (E) 184 8. In a oneway ANOVA F test, if we fail to reject H , then were concluding that (A) all of the group population means are different from each other. (B) at least some of the group population means are different from each other. (C) its reasonable that all of the group population means are the same. 9. If the twoway ANOVA F test for interaction concludes that its reasonable that there is no interaction between the effects of Factors A and B, then we should (A) stop without testing for the main effects of Factors A and B....
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 Spring '08
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