problemset10

problemset10 - Outcome Disease No Disease Totals Group...

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Problem Set 10 STAT 3022, section 001 11/22/2011 The following should be completed by Tuesday, November 29. Assigned Reading Section 19.1: Case Studies (pp 552–555) Section 19.2: Population Models for 2 × 2 Tables of Counts (pp 555–559) Section 19.3: The Chi-Squared Test (pp 559–561) Section 19.6.1: r × c Tables of Counts (p 570) Problems To Turn In “Pencil and Paper” Problems - No R output needed (unless you use R to calculate your answer) 15.8, 18.9, 18.14, 18.15 In 18.15, perform a hypothesis test for equality and construct a 95% conﬁdence interval, for both π 1 - π 2 and φ = ω 1 2 – Additional problem : Consider the following hypothetical situation:
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Unformatted text preview: Outcome Disease No Disease Totals Group Placebo S 1 n 1-S 1 n 1 Drug Treatment S 2 n 2-S 2 n 2 If we were constructing a 95% conﬁdence interval for φ = ω 1 /ω 2 , show that the standard error SE(log(ˆ ω 1 / ˆ ω 2 )) = r 1 S 1 + 1 n 1-S 1 + 1 S 2 + 1 n 2-S 2 , is equivalent to the standard error obtained using the formula on page 541. • No problems to do in R (unless you use R for the “pencil and paper” problems) Include all relevant R input and output. Describe the output in your own words. You may ﬁnd the code included in the lab exercises useful....
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