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The false positive rate gives the proportion of falsely identified positives amongst all actual negatives. (lower is better) Obviously, the most right curve (combined Joint Baysian) is worst, because for a fixed true positive rate it has always the highest false positive rate.
Jan 26, 2017 · In the exercise in the book you refer to, though, they do specify a 'false positive rating' in addition to the accuracy rating, and by the false positive rating they mean $P (B|A^C)$.
Yes, normally we would use the Normal approximation to the binomial to produce a confidence interval for the true positive or false positive rates. Wiki has the info here:-
Oct 7, 2017 · The false positive rate is P(A ∣∼ V) P (A ∣∼ V) (probability the test erroneously comes back positive when you don't have the virus) and the effectiveness is P(A ∣ V) P (A ∣ V) (probability the test correctly comes back positive when the virus is present). You use these, P(V) P (V) (which you identified correctly) and bayes to figure out P(V ∣ A) P (V ∣ A), the probability a person actually has the virus if they tested positive.
May 26, 2020 · If the false negative rate is 10% and the false positive rate is 1%, compute the probability that a person who tests positive actually has the disease." For this question, why do we need to use Bayes' Theorem?
Jun 24, 2017 · I have been asked to use Bayes' Theorem to prove that the rate of false positives is accurate (86%) in the following passage. What I have done so far is list the following
Mar 8, 2020 · Find the probability of a false negative, that the test is negative, given that the person has the disease I believe that there must be something wrong with the exercise because the book says that the answers should be
Oct 22, 2015 · Thus, the rate of false positives in the population (≈ 2%) is about four times the rate of true positives (≈ 0.5%), and so only about one fifth of all positive test results are true.
A large company gives a new employee a drug test. The False-Positive rate is 3% and the False-Negative rate is 2%. In addition, 2% of the population use the drug. The employee tests positive fo...
Aug 31, 2022 · A test is created for this disease which has a 98% true positive rate and a 4% false positive rate. What is the probability of having the disease if you take the test twice and both results are positive, assuming the tests are independent?
