Just finished this book on the history of Bayes theorem and I highly recommend it.
In case youāre wondering what is it, keep reading.
(A thread on Bayes theorem)
1/ Statistics is all about calculating probabilities, and there are two camps who interpret probability differently.
Frequentists = frequency of events over multiple trials
Bayesians = subjective belief of the outcome of events
2/ This philosophical divide informs what these two camps usually bother with.
Frequentists = probability of data, given a model (of how data could have been generated)
Bayesians = probability of model, given the data
3/ Most often we care about the latter question.
E.g we want to know given that the mammography test is positive, what is the probability of having breast cancer.
And not given breast cancer, the probability of test being positive.
4/ These two questions sound similar but have different answers. ...