Exact mean-difference permutation test calculator

Calculate exact two-sided permutation p value and observed mean difference with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use exact two-sided permutation p value and observed mean difference to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Independent sample A (total samples ≤16)
1,2,4
Independent sample B (total samples ≤16)
5,6,8
Exact two-sided permutation p value
0.1
Observed mean difference
-4
Enumerated allocations
20

Try another scenario

Independent sample A (total samples ≤16)
2.0,2.0,4.0
Independent sample B (total samples ≤16)
5,6,8
Exact two-sided permutation p value
0.1
Observed mean difference
-3.666667
Enumerated allocations
20
Calculation method

Calculation method

Exact two-sided permutation p value

All labelled allocations of pooled data into original group sizes; compare absolute mean differences.

Observed mean difference

All labelled allocations of pooled data into original group sizes; compare absolute mean differences.

Enumerated allocations

All labelled allocations of pooled data into original group sizes; compare absolute mean differences.

Symbols and units
a
Independent sample A (total samples ≤16)
b
Independent sample B (total samples ≤16)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Exchangeable independent observations; exhaustive two-sided mean-difference test. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Exchangeable independent observations; exhaustive two-sided mean-difference test.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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