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Thanks for the encouragement, E.J. Love the anecdote on Leibnitz. Turns out I made another silly mistake in the fact that I used x twice to mean different things. Just to prevent confusion for anyone who reads this string at some point, I meant to …
Many thanks, E.J. I found a few additional subtle modeling choices (as you call them) that appear to matter greatly under certain conditions. I will contact Jeff or Richard directly about them, and the issue posted above. Should the discussion prove…
I figured this out. The answer is "yes", different scales are applied to the main effects and the interactions. For clarity, I want to mention that my original post did not provide a complete description of the setting that I was asking a…
*The multiple of g must be square rooted to get the Cauchy scale parameter. My silly mistakes are now permenanlty stored on the internet. Great.
I figured this out. x | g ~ Normal(0, x*g) and g ~ InverseGamma(1/2, (r^2)/2) Imply: x ~ Cauchy(0, sqrt(x)*r) So, indeed, the square root of the multiple of g in the variance must be square rooted to convert to the proper scale for the Cauchy. …
I considered that maybe the normal distributions were specified with the mean and standard deviation, but this doesn't seem to be the case in Rouder et al 2012 or in the documentation (e.g. see here: http://127.0.0.1:14490/library/BayesFactor/html/a…