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  • $\begingroup$ thank you @User1865345 for the advice! I added some details for the sake of completeness. $\endgroup$ Commented Dec 28, 2022 at 12:25
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    $\begingroup$ This is elaborative. Already upvoted. $\endgroup$ Commented Dec 28, 2022 at 12:44
  • $\begingroup$ This is great! What would you do for small $m$ and $n$? Say about 10-40? $\endgroup$ Commented Dec 28, 2022 at 13:58
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    $\begingroup$ @Mark, the usual recommendations are: (i) Fisher's exact test, (ii) chi-squared test plus p-value computed by simulation, (iii) permutation or bootstrap tests. I'd add (iv) exact tests implemented in exact2x2; (i) and (ii) may be the easiest to perform. $\endgroup$ Commented Dec 28, 2022 at 14:11
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    $\begingroup$ yes, you find all the details at the help page of chisq.test. $\endgroup$ Commented Dec 28, 2022 at 14:20