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s, the following 2 → 2 tables were ol arance of gallstones) versus no resp Negativ Positive

s, the following 2 → 2 tables were ol arance of gallstones) versus no resp Negativ Positive

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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6. In a clinical trial of ursodiol (a bile acid drug) versus placebo for the treatment of patients with gallstones, the following 2 2 tables were obtained giving the frequencies of a positive response (disappearance of gallstones) versus no response (negative response) after 12 months of treatment: Negativ Positive e Placebo 92 8 Ursodiol 87 23 Let p1 = Pr[Positive response|Ursodiol] and po = Pr[Positive response|Placebo]. a. For these data, compute by hand (do not use R) the estimates of the risk difference, relative risk, and its natural logarithm, and the odds ratio and its natural logarithm. S b. For these data, compute by hand (do not use R) the estimated variance and standard error, and the 95% Cls for the risk difference, log relative risk, and log odds ratio. c. From the log odds ratio and log relative risk, also compute 95% confidence limits for the odds ratio and relative risk, respectively. Provide an interpretation of the estimated odds ratio and relative risk, as well as their respective confidence intervals.
Transcribed Image Text:6. In a clinical trial of ursodiol (a bile acid drug) versus placebo for the treatment of patients with gallstones, the following 2 2 tables were obtained giving the frequencies of a positive response (disappearance of gallstones) versus no response (negative response) after 12 months of treatment: Negativ Positive e Placebo 92 8 Ursodiol 87 23 Let p1 = Pr[Positive response|Ursodiol] and po = Pr[Positive response|Placebo]. a. For these data, compute by hand (do not use R) the estimates of the risk difference, relative risk, and its natural logarithm, and the odds ratio and its natural logarithm. S b. For these data, compute by hand (do not use R) the estimated variance and standard error, and the 95% Cls for the risk difference, log relative risk, and log odds ratio. c. From the log odds ratio and log relative risk, also compute 95% confidence limits for the odds ratio and relative risk, respectively. Provide an interpretation of the estimated odds ratio and relative risk, as well as their respective confidence intervals.
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