(a) Construct a tree diagram summarising the probabilities of observing each adverse event in each treatment group. (Hint: Be careful to consider which variable comes first in time.) (b) Show that adverse events are not independent of treatment group. Give two possible explanations for this relationship. (c) For patients who discountinued due to adverse events determine (i) P (Dizziness); (ii) P (Dizziness Placebo);

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question
In a clinical trial, 103 of the randomly selected patients discontinued using NORVASC or a
placebo because of adverse effects. The reasons for discontinuing are given in the following
table.
Adverse event
Edema
Dizziness
Flushing or palpitation
Treatment group
10-mg Dose
29
9
19
5-mg Dose
9
10
8
Placebo
5
9
5
(a) Construct a tree diagram summarising the probabilities of observing each adverse event
in each treatment group. (Hint: Be careful to consider which variable comes first in time.)
(b) Show that adverse events are not independent of treatment group. Give two possible
explanations for this relationship.
(c) For patients who discountinued due to adverse events determine
(i) P (Dizziness);
(ii) P (Dizziness Placebo);
Transcribed Image Text:In a clinical trial, 103 of the randomly selected patients discontinued using NORVASC or a placebo because of adverse effects. The reasons for discontinuing are given in the following table. Adverse event Edema Dizziness Flushing or palpitation Treatment group 10-mg Dose 29 9 19 5-mg Dose 9 10 8 Placebo 5 9 5 (a) Construct a tree diagram summarising the probabilities of observing each adverse event in each treatment group. (Hint: Be careful to consider which variable comes first in time.) (b) Show that adverse events are not independent of treatment group. Give two possible explanations for this relationship. (c) For patients who discountinued due to adverse events determine (i) P (Dizziness); (ii) P (Dizziness Placebo);
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Follow-up Question
(iii) Explain the difference in meaning between P (Dizziness Placebo)
and P (Placebo Dizziness).
Transcribed Image Text:(iii) Explain the difference in meaning between P (Dizziness Placebo) and P (Placebo Dizziness).
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