Exan 2 Practice Problems - STA 3024 Exam 2 Sample Questions...

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STA 3024 Exam 2 Sample Questions 1. Suppose the figure shown below is an illustration of an F distribution as it pertains to a one-way ANOVA F test. 0 1 2 3 4 5 6 The shaded area represents the (A) null hypothesis. (B) total sum of squares. (C) p-value. (D) normality assumption. (E) value of the test statistic. 2. A one-way 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 one-way ANOVA F test statistic?
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3. Suppose we’re planning an experiment using a two-way 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 two-way 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 two-way ANOVA methods to analyze our data. 4. In one-way 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 two-way ANOVA analysis, while Researcher 2 conducts two separate one-way ANOVA analyses. Which of the following is true? 6. In one-way ANOVA, which of the following variables is categorical? 7. A one-way 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) 0 13 (B) 0 30 (C) 0 32 (D) 0 42 (E) 184
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8. In a one-way ANOVA F test, if we fail to reject H 0 , then we’re 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) it’s reasonable that all of the group population means are the same. 9. If the two-way ANOVA F test for interaction concludes that it’s 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. (B) continue by testing for the main effects of Factors A and B.
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