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Sam_Jaques comments on How to Fix Science - Less Wrong
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This only works in extremely simple cases.
Could you give an example of an experiment that would be too complex for log odds to be useful?
Any example where there are more than two potential hypotheses.
Note, that for example, "this coin is unbiased", "this coin is biased toward heads with p=.61", and "this coin is biased toward heads with p=.62" count as three different hypotheses for this purpose.
This is fair as a criticism of log-odds, but in the example you give, one could avoid the issue of people having varying priors by just reporting the value of the likelihood function. However, this likelihood function reporting idea fails to be a practical summary in the context of massive models with lots of nuisance parameters.