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by HyperMassive
3073 days ago
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On national news they mentioned 1% came back positive for people who were believed to be entirely healthy.
Unfortunately it was anonymous so they could not get back in touch with the false positive patients.
The spokesperson made it very clear its early days and they are looking to refine it further; they anticipate it to be a cheap and accessible 'first-call' test in regular cancer screening, not a definitive diagnosis. |
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C being cancer, H healthy, P positive test P(C|P) = [P(P|C) * P(C)] / [P(P|C) * P(C) + P(P|H) * P(H)] = [ 0.7 * 0.05] / [ 0.7 * 0.05 + 0.01 * 0.95] = 0.035 / (0.035 + 0.0095) = 0.7865
That's pretty good. If you have a positive test result, in 4 out of 5 cases it actually is cancer. It gets a bit worse if you account for the fact that this test only works for a subset of the cancers. But this would be useful as a pre-screening.