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TL;DR: I ask for help, either entirely theoretical or more concrete, with design of a quick-and dirty independent survey. In particular, I need to know how to estimate the sample size, number of questions and some other things. I expect to see an effect, but 1) a small one, 2) there are going to be undercurrents & sources of heterogeneity that I cannot right now predict, 3) the whole business is money-constrained, and 4) the relevant (professional) people here have too much skin in the game.
In case this appears too involved for you, please regard it as a purely armchair exercise. Examples of such things done elsewhere are also much appreciated.
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