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Of course, the type of data you use depends lot on what your model purports to explain. The way i take your question, you are looking for straight up artificial classification learning experiments. Is this correct? If so, John Kruschke has published several of his most important datasets on his website. I have often used these in my model testing. His '93 ...


A good starting point is probably Alex Etz's Understanding Bayes blog post series. He also co-authored a related paper that should be a great starting point: How to become a Bayesian in eight easy steps: An annotated reading list (link is to pre-print). Richard Morey's BayesFactor blog is great resource for understanding the Bayesian model comparison ...


Bayesian model comparison is widely performed. Here's a recent invasive electrophysiology example on decision-making: Single-trial spike trains in parietal cortex reveal discrete steps during decision-making Science, 2015

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