Exact bootstrap mean interval calculator

Calculate exact bootstrap percentile lower mean and exact bootstrap percentile upper mean with your own figures.

Your numbers

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

Use exact bootstrap percentile lower mean and exact bootstrap percentile upper mean to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Sample values (2–6)
1,2,4,5
Confidence fraction
0.95
Exact bootstrap percentile lower mean
1.5
Exact bootstrap percentile upper mean
4.5
Enumerated ordered resamples
256

Try another scenario

Sample values (2–6)
2.0,2.0,4.0,5.0
Confidence fraction
0.95
Exact bootstrap percentile lower mean
2
Exact bootstrap percentile upper mean
4.5
Enumerated ordered resamples
256
Calculation method

Calculation method

Exact bootstrap percentile lower mean

Enumerate all n^n replacement resamples, compute means, linear-interpolated quantiles.

Exact bootstrap percentile upper mean

Enumerate all n^n replacement resamples, compute means, linear-interpolated quantiles.

Enumerated ordered resamples

Enumerate all n^n replacement resamples, compute means, linear-interpolated quantiles.

Symbols and units
a
Sample values (2–6)
b
Confidence fraction

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

  • Exact empirical bootstrap of mean for 2–6 observations; no random seed or BCa approximation. 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. Exact empirical bootstrap of mean for 2–6 observations; no random seed or BCa approximation.
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Further reading

Method reference ↗

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

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