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Accuracy varies among each test, but Ellume says that its test has a 96 percent accuracy rate in detecting symptomatic cases of COVID-19 and 91 percent accuracy in detecting asymptomatic cases ...
In the most basic sense, there are four possible outcomes for a COVID-19 test, whether it’s molecular PCR or rapid antigen: true positive, true negative, false positive, and false negative.
COVID-19 rapid antigen tests (RATs) have been widely used for diagnosis of COVID-19. The World Health Organization (WHO) COVID-19 Case Definition states that a person with a positive RAT (also known as an antigen rapid diagnostic test or Antigen-RDT) can be considered a "confirmed case of SARS-CoV-2 infection" in two ways. [10]
The false positive rate (false alarm rate) is = + [1] where F P {\displaystyle \mathrm {FP} } is the number of false positives, T N {\displaystyle \mathrm {TN} } is the number of true negatives and N = F P + T N {\displaystyle N=\mathrm {FP} +\mathrm {TN} } is the total number of ground truth negatives.
The test has a false positive rate of 5% (0.05) and a false negative rate of zero. The expected outcome of the 1,000 tests on population A would be: Infected and test indicates disease (true positive) 1000 × 40 / 100 = 400 people would receive a true positive Uninfected and test indicates disease (false positive)
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The log diagnostic odds ratio can also be used to study the trade-off between sensitivity and specificity [5] [6] by expressing the log diagnostic odds ratio in terms of the logit of the true positive rate (sensitivity) and false positive rate (1 − specificity), and by additionally constructing a measure, :
Accuracy is measured in terms of specificity and selectivity. Test errors can be false positives (the test is positive, but the virus is not present) or false negatives, (the test is negative, but the virus is present). [179] In a study of over 900,000 rapid antigen tests, false positives were found to occur at a rate of 0.05% or 1 in 2000. [180]