midterm.98

# midterm.98 - day by treatment interaction reasonable? How...

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Midterm 1. In each of three randomly selected states, four counties are randomly chosen. In each county, three farms are randomly selected and the yield per acre (in bushels of corn) from each of two randomly chosen ﬁelds is recorded. (a) Write a complete model for the experiment. (b) What are the EMS for all model terms? (c) How would you test whether variation among states is zero? 2. Consider a cross-over design conducted over two separate days with the following layout: Day 1 Day 2 Subject Period 1 2 3 4 5 6 1 A=20 B=14 C=25 A=22 B=17 C=20 2 B=18 C=28 A=15 C=24 A=27 B=12 3 C=29 A=17 B=19 B=13 C=22 A=25 (a) Using SAS or Minitab, test for treatment eﬀect, period eﬀect, day eﬀect, subject eﬀect and residual eﬀect. Is a test on a
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Unformatted text preview: day by treatment interaction reasonable? How about a test on day by subject ? 3. A ﬁber optic cable company is studying a new ﬁber ribbon production line. Assume the response is average meters of ribbon before a defect is observed and the variance of the response is ∼ 10 6 m 2 . Produce a power curve under the assumption that engineers wish to detect a diﬀerence in average defect rate between the new line and the three existing lines of .5 km. How many samples should be produced by each line in order to detect the average diﬀerence of .5 km with 90% probability? 1...
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## This note was uploaded on 10/01/2009 for the course STAT stat706 taught by Professor Johnm.grego during the Spring '08 term at South Carolina.

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