Research Workbench

Exact paired sign-flip test

Enumerate sign assignments for a prespecified mean paired-difference statistic.

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Use 2–18 paired differences, preserving one independent difference per unit. Enumeration is exact over all 2^n sign assignments, including zero differences.

The starting values are hypothetical. Results update as you edit. Use aggregate or synthetic inputs only.

Calculation results

Mean paired difference
1.4
Enumerated sign assignments
32
Two-sided exact p
0.1875

How to interpret the output

The two-sided p-value counts absolute permuted means at least as large as the observed absolute mean. Sign exchangeability requires an appropriate randomization null or symmetry under the null; merely being paired is insufficient. This is not the binomial sign test and no Monte Carlo correction is needed for complete enumeration.

Method reference

Source checked 2026-11-06. Read the reproducible calculator validation report.