2 ms·
Slight change to the description: "Sometimes interpreting data is easy. For example, one of the reasons we know that smoking causes lung cancer is that when on
by crdrost 3y ago
Slight change to the description:
"Sometimes interpreting data is easy. For example, one of the reasons we know that smoking causes lung cancer is that when only -6dB of the population smoked, +6dB of people with lung cancer were smokers. If you are a doctor who treats patients with lung cancer, it does not take long to notice numbers like that."
What was the change? +12dB or 10^1.2, which is 16x.
This ties into the odds form of Bayes' theorem given in the post; this representation of probability is
dB(p) = 10*log10(p/(1-p))
p(dB) = 10^(dB/10) / (1 + 10^(dB/10))
so roughly 0dB = 50%, 5dB = 75%, 10dB = 90%, 20dB = 99%, 30dB = 99.9%...