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P value calculator

Enter a calculated test statistic, choose its reference distribution and select the direction of the alternative hypothesis.

Used only for Student's t.

P value: —

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

Cumulative F(statistic)
—
Degrees of freedom
—
Selected tail
—

What do these numbers mean?
  • Choose the test direction before analysing the data.
  • Report an effect size and confidence interval as well as p.

This tool converts an existing Z or t statistic. It does not verify the test assumptions or how the statistic was obtained.

How do I use this page?
  1. Select the statistic distribution.
  2. Enter the statistic, tail and any required df.
  3. Read p and compare it with a preselected alpha.

What this page does not do: This tool converts an existing Z or t statistic. It does not verify the test assumptions or how the statistic was obtained.

Further reading

Theory — what is a p-value in a statistical test?

A p-value is the probability of getting a test statistic at least as extreme as the one calculated, assuming the baseline hypothesis is true. The calculator needs a computed test statistic, its reference distribution and the direction of the alternative hypothesis. A two-tailed test counts both tails, so it usually gives a larger p-value than a one-tailed test. A low threshold like 0.05 says nothing about an effect's practical size, and a p-value never proves the baseline hypothesis is true.

Frequently asked questions

Does p < 0.05 prove an important effect?
No. A 0.05 threshold says nothing about effect magnitude or practical importance.
When should I use a two-sided test?
Use it when departures in both directions matter and a direction was not justified before analysis.

See also

← All calculators

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