Question
In: Statistics and Probability
Consider a diagnostic test for a hypothetical disease based on measuring the amount of a certain...
Consider a diagnostic test for a hypothetical disease based on measuring the amount of a certain biomarker present in blood. High levels of the biomarker are often found in individuals with the disease, but a number of non-disease conditions can also cause high levels of the biomarker. Individuals without the disease have biomarker levels that are normally distributed with mean 1.6 ng/mL (nanograms per milliliter of blood), and standard deviation 0.50 ng/mL. Individuals with the disease have biomarker levels that are normally distributed with mean 5 ng/mL and standard deviation 1.2 ng/mL. Values of 2.5 ng/mL and higher constitute a positive test result. i. Compute the accuracy of the test for those who have the disease and the accuracy of the test for those who do not have the disease.
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orchestra answered 1 year agoRelated Solutions
Consider a diagnostic test for a hypothetical disease based on measuring the amount of a certain...
Consider a diagnostic test for a hypothetical disease based on
measuring the amount of a
certain biomarker present in blood. High levels of the biomarker
are often found in individuals
with the disease, but a number of non-disease conditions can
also cause high levels
of the biomarker. Individuals without the disease have biomarker
levels that are normally
distributed with mean 1.6 ng/mL (nanograms per milliliter of
blood), and standard deviation
0.50 ng/mL. Individuals with the disease have biomarker levels
that...
Consider a diagnostic test for a hypothetical disease based on measuring the amount of a certain...
Consider a diagnostic test for a hypothetical disease based on
measuring the amount of a
certain biomarker present in blood. High levels of the biomarker
are often found in individuals
with the disease, but a number of non-disease conditions can
also cause high levels
of the biomarker. Individuals without the disease have biomarker
levels that are normally
distributed with mean 1.6 ng/mL (nanograms per milliliter of
blood), and standard deviation
0.50 ng/mL. Individuals with the disease have biomarker levels
that...
Consider a diagnostic test for a hypothetical disease based on measuring the amount of a certain...
Consider a diagnostic test for a hypothetical disease based on
measuring the amount of a certain biomarker present in blood. High
levels of the biomarker are often found in individuals with the
disease, but a number of non-disease conditions can also cause high
levels of the biomarker. Individuals without the disease have
biomarker levels that are normally distributed with mean 1.6 ng/mL
(nanograms per milliliter of blood), and standard deviation 0.50
ng/mL. Individuals with the disease have biomarker levels that...
A diagnostic test for a certain disease is applied to n individuals known to not have...
A diagnostic test for a certain disease is applied to n individuals known to not have the disease. Let X = the number among the n test results that are positive indicating presence of the disease, so X is the number of false positives) and p = the probability that a disease-free individual's test result is positive (i.e., p is the true proportion of test results from disease-free individuals that are positive). Assume that only X is available rather than...
A diagnostic test for a disease has a true positive rate of 98% and a true...
A diagnostic test for a disease has a true positive rate of 98%
and a true negative rateof 94%. Suppose the overall disease rate in
the population is 1%. That is,•Pr(Positive Test|Patient has
Disease) = 0.98,•Pr(Negative Test|Patient does NOT have Disease) =
0.94,•Pr(Patient has Disease) = 0.01.a) What is the probability of
a patient without the disease testing positive? b) Find the
probability that a patient has the disease given that they tested
positive.That is, findPr(Patient has Disease|Positive Test).
A diagnostic test either provides a + result (has the disease) or - result (does not...
A diagnostic test either provides a + result (has the disease)
or - result (does not have the disease). 5% of the population has
the disease. For a patient with the disease, 75% will test (+)/ 25%
will test (-). For a patient that does not have the disease, 15 %
will test (+)/ 85% will test (-).
Part A) If everyone in the population is tested, what proportion
of the test results will be positive?
Part B) For a...
A test for a certain disease is found to be 95% accurate, meaning that it will...
A test for a certain disease is found to be 95% accurate,
meaning that it will correctly diagnose the disease in 95 out of
100 people who have the ailment. The test is also 95% accurate for
a negative result, meaning that it will correctly exclude the
disease in 95 out of 100 people who do not have the ailment. For a
certain segment of the population, the incidence of the disease is
4%. (1) If a person tests positive,...
Categorize the following terms as related to (a) anatomy, (b) diagnostic test or procedure, (c) disease...
Categorize the following terms as related to (a) anatomy, (b)
diagnostic test or procedure,
(c) disease or disorder, (d) nonsurgical treatment, or (e)
surgery. The suffix often indicates
its category.
TERMS
CATEGORY
1. Abruptio Placentae
2. Amnion
3. Amniotic
4. Candidiasis
5. Cervicocolpitis
6. Circumcision
7. perimetrium
8. Colposcopy
9. Cryptorchidism
10. Curettage
11. Ductus Deferens
12. Dysmenorrhea
13. Endometrial
14. Endometriosis
15. Episiotomy
16. Erythroblastosis Fetalis
17. Fistula
18. Perimetrium
19. Spermicidal
20. Vasovasostomy
A new diagnostic test is developed for treating some disease is being tested among 10,000 hospital...
A new diagnostic test is developed for treating some disease is
being tested among 10,000 hospital patients, among which 2000 have
the disease. If the test came back positive in 1975 of the diseased
subjects and came back negative in 7600 of the healthy
patients,
a. Calculate SN and SP along with their approximate 95% CI’s
Calculate the probability of having the disease given a positive
test
Calculate the probability of having the disease given a negative
test
Calculate the...
Suppose that a test for a certain disease has a specificity of 95%. If 2,000 people...
Suppose that a test for a certain disease has a specificity of
95%. If 2,000 people without the disease take the test, how many
should you expect to test negative?
100 1,000 1,500 1,900
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