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Dec 19, 2016 at 22:27 comment added amoeba Update: I read Goodman's and Senn's papers linked above and have now posted my own answer to summarize my current intuition. (By the way, I was happy to accept your answer and award it the bounty. Thanks again.)
Dec 19, 2016 at 21:06 vote accept amoeba
Dec 17, 2016 at 1:08 history bounty ended amoeba
Dec 16, 2016 at 22:32 history edited GeoMatt22 CC BY-SA 3.0
add note on meta-analysis
Dec 14, 2016 at 20:29 comment added GeoMatt22 amoeba thank you for digging up these references, they look interesting! For completeness, I added a "discussion" section trying to connect the Cumming result and the standard framework.
Dec 14, 2016 at 20:28 history edited GeoMatt22 CC BY-SA 3.0
add discussion on Gaussian prior to connect end-members
Dec 14, 2016 at 20:23 history edited GeoMatt22 CC BY-SA 3.0
add discussion on Gaussian prior to connect end-members
Dec 14, 2016 at 18:04 comment added amoeba I found some old and not so old discussions of this topic: Goodman 1992, a comment on Goodman by Senn 2002, and a recent Lazzeroni et al 2014. The last one seems rather unhelpful (but I mention it for completeness) but the first two, particularly Senn's comment, appear very pertinent.
Dec 14, 2016 at 17:23 history edited GeoMatt22 CC BY-SA 3.0
add note on Jeffreys prior
Dec 14, 2016 at 16:58 history edited GeoMatt22 CC BY-SA 3.0
add summary
Dec 14, 2016 at 16:49 comment added GeoMatt22 My hope is that by exposing the underlying assumption (e.g. uniform prior on hidden parameter), the discussion can now focus on the scientific/statistical question that I believe was your target! (Rather than the math/probability question I answered above.)
Dec 14, 2016 at 15:55 history edited GeoMatt22 CC BY-SA 3.0
add comparison plot
Dec 14, 2016 at 6:08 history answered GeoMatt22 CC BY-SA 3.0