This calculator performs conducts multiple analyses of a 2 X 2 experiment.
Error estimates are computed assuming a normal distribution of counts, and may therefore be inaccurate for very small counts.
The χ2 test uses a normal approxiation to the count distribution; it may therefore be inaccurate for very small counts.
The Fisher exact test is accurate even for small counts; it is performed only for N ≤ 200.
Operations on 2 X 2 and N X M contingency tables are part of the functionality of the Meta.Numerics.Statistics library.