For a biased coin-flipping example, assuming the probability to get the head can be between 0 and 1, then what is its posterior given the observed data:
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Source code BI_coin.R.
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Results:
- b11d100.pdf uses beta(1,1) prior given 100 flips 65 heads;
- b55d100.pdf uses beta(5,5) prior given 100 flips 65 heads;
- b11d4.pdf uses beta(1,1) prior given 4 flips 4 heads;
- b55d4.pdf uses beta(5,5) prior given 4 flips 4 heads.