Stat 514 Test 1 Take Home problems
group y old 7 old 5 old 3 old 3 old 4 old 4 old 3 old 4 old 5 old 3 old 7 old 6 old 4 old 3 old 3 old 3 old 6 old 3 old 3 old 3 new 10 new 5 new 5 new 4 new 4 new 4 new 5 new 3 new 7 new 5 new 3 new 6 new 4 new 6 new 5 new 4 new 3 new 5 new 6 new 8
a. Perform a test of a location difference, to see if subjects with the new treatment read more books than those in the old treatment group.
b. Perform an omnibus test of a difference in distributions between the two groups.
c. What would be an appropriate test to use to test for a scale difference between the two groups? Briefly explain.
3. On pages 56-7 in our text, the authors discuss the Type I error performance of the RMDhat test. Briefly summarize (no more than 5 sentences) their results.
4. A small randomized experiment yields the following values for group A: 3.1, 5.6, 4.4, and for group B: 3.7, 6.1, 7.2. Enumerate the permutation distribution for the Wilcoxon test for these data (by hand), and calculate the permutation p value for the research hypothesis that the location of group B is larger than for group A.