Imagine you need to come up with a diagnostic test to monitor the viral load of patients with HIV. If the viral load is higher than a set standard, there is evidence the anti-retroviral therapy is no longer working and the patient needs to be moved to a different therapy that costs more money. Thus, false positives incur higher costs. However, if the test misses higher than normal viral loads (for patients in treatment) then the patient runs the risk of developing AIDS. Hence, false negatives result in a likely deadly disease. How would you balance these two types of error in devising yo test? Minimize beta by raising the one-tailed alpha, since greater power will reduce false negatives and save patients Minimize the one-tailed alpha, since lower P-values indicate the test is highly

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Imagine you need to come up with a diagnostic test to monitor the viral load of
patients with HIV. If the viral load is higher than a set standard, there is evidence the
anti-retroviral therapy is no longer working and the patient needs to be moved to a
different therapy that costs more money. Thus, false positives incur higher costs.
However, if the test misses higher than normal viral loads (for patients in treatment),
then the patient runs the risk of developing AIDS. Hence, false negatives result in a
likely deadly disease. How would you balance these two types of error in devising your
test?
Minimize beta by raising the one-tailed alpha, since greater power will reduce
false negatives and save patients
O
Minimize the one-tailed alpha, since lower P-values indicate the test is highly
significant and prevent prematurely switching the patients
Minimize the one-tailed alpha and beta, since this action will prevent prematurely
switching the patients and reduce false negatives, thereby saving patients
Minimize beta by raising the two-tailed alpha, since greater power will reduce
false negatives and save patients
Minimize the two-tailed alpha, since lower P-values show the greater effect and
prevent prematurely switching the patients
Transcribed Image Text:Imagine you need to come up with a diagnostic test to monitor the viral load of patients with HIV. If the viral load is higher than a set standard, there is evidence the anti-retroviral therapy is no longer working and the patient needs to be moved to a different therapy that costs more money. Thus, false positives incur higher costs. However, if the test misses higher than normal viral loads (for patients in treatment), then the patient runs the risk of developing AIDS. Hence, false negatives result in a likely deadly disease. How would you balance these two types of error in devising your test? Minimize beta by raising the one-tailed alpha, since greater power will reduce false negatives and save patients O Minimize the one-tailed alpha, since lower P-values indicate the test is highly significant and prevent prematurely switching the patients Minimize the one-tailed alpha and beta, since this action will prevent prematurely switching the patients and reduce false negatives, thereby saving patients Minimize beta by raising the two-tailed alpha, since greater power will reduce false negatives and save patients Minimize the two-tailed alpha, since lower P-values show the greater effect and prevent prematurely switching the patients
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