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Exact sign test calculator

Choose a design, paste values and read the exact two-sided p-value.

Exact p-value: —

Fill in the fields above — the result is computed on this page.

Positive signs
—
Negative signs
—
Ties
—
Effective n
—
Statistic S
—

Sign counts

Category Count Share
Fill in the fields above — the result is computed on this page.
What do these numbers mean?
  • In paired mode, observation order must refer to the same units.
  • Ties reduce the effective sample size.
  • The test does not measure change magnitude; report differences and a median too.

Doubling the smaller tail is a conservative two-sided definition for a discrete distribution. The tool does not calculate a confidence interval for the median.

How do I use this page?
  1. Choose a median or paired design.
  2. Paste values in matching order.
  3. Read sign counts, ties, effective n and p-value.

What this page does not do: Doubling the smaller tail is a conservative two-sided definition for a discrete distribution. The tool does not calculate a confidence interval for the median.

Further reading

Theory — what is the sign test?

The sign test uses only the direction of the difference between a pair of measurements, whether it is positive or negative, ignoring its size. Ties, meaning pairs with no difference, are dropped from the analysis. Under the baseline hypothesis each sign is assumed to have a probability of 0.5, and the p-value is computed as the exact two-sided tail of the binomial distribution. Unlike the Wilcoxon test, the sign test does not use ranks of the magnitude of differences or assume their symmetry.

Frequently asked questions

How does it differ from Wilcoxon?
The sign test uses direction only. Wilcoxon also ranks difference magnitudes and assumes symmetric differences.
What happens to ties?
Zero differences are excluded from the test distribution and reported separately.

See also

← All calculators

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