meta numerics

This calculator performs conducts multiple analyses of a 2 X 2 experiment.

Input

  Totals
Totals

Output

Quantity 1-sigma error bar 95% confidence band
P() ± < P <
P() ± < P <
P( | ) ± < P <
P( | ) ± < P <
Odds Ratio r ± < r <
Log Odds Ratio ± < ln r <

Error estimates are computed assuming a normal distribution of counts, and may therefore be inaccurate for very small counts.

Test Statistic P(lower) P(higher)
Pearson χ2
Fisher exact  

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.