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Mar 2, 2019 at 21:21 comment added Pere About uniform distribution of p-values: P-values are computed by evaluating the inverse distribution function of a chi squared distribution on the the statistics. If the statistics is actually distributed according to that chi squared distribution, it will be uniformly distributed between 0 and 1. For example, 5% of all values of the test statistic will be under the 5% p-value threshold - and the same is true for any other percentage.
Mar 2, 2019 at 20:42 comment added baxx example with different probabilities : vpaste.net/torSn , which still seems to work out alright even though ~40% of the cells have what could be considered a low count
Mar 2, 2019 at 20:40 comment added baxx thanks, I'm a little unsure how to interpret the part about the uniform distribution. Because the p-values are roughly uniform (I've plotted them from your code), we would reject ~5% if we were to reject values <0.05 (as in table(res<0.05)/s). If the test wasn't working so well would we expect to see this value increase / decrease? (I've tried using different probabilities, and it seems pretty robust)
Mar 2, 2019 at 18:41 comment added Pere You have here one example code. I tried to copy your data but it doesn't seem to work. I think there is a problem with parentheses count and - maybe - with a too long line.
Mar 2, 2019 at 18:34 history edited Pere CC BY-SA 4.0
expansion
Mar 2, 2019 at 18:20 comment added baxx how would one go about writing a simulation for this though? I've added some example data to the OP
Mar 2, 2019 at 18:15 history answered Pere CC BY-SA 4.0