Use this calculation to reproduce a defined quantitative method when the observations, units, sampling process, and assumptions match the method shown here.

Sample

Required list.

Confidence level

Optional number.

Resamples

Optional integer.

Random seed

Optional integer.

Statistic

Optional string.

The cited overview of Statistics supplies background for the terminology and domain context used by this tool.^[1]

Estimate a percentile bootstrap confidence interval for a sample mean or median with deterministic resampling. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

Point estimate

Returned number.

Lower bound

Returned number.

Upper bound

Returned number.

• A numerical result does not by itself establish data quality, causation, representativeness, independence, distributional fit, or practical significance.
• Resamples must be at least 2.
• Resamples must be no greater than 1000000.
• Use finite inputs in the displayed units, preserve source measurements and assumptions, and independently verify consequential decisions.

Inspect the underlying data, visualize its distribution, report uncertainty and sample size, and compare the result with a robust or domain-specific method where appropriate.

• Bootstrap Standard Error Calculator

  Estimate the standard error of a sample mean or median with deterministic bootstrap resampling.

• Jackknife Bias Calculator

  Estimate the bias of a sample mean or median with leave-one-out jackknife resampling.

• T-Interval Calculator

  Calculate a two-sided Student's t confidence interval for a population mean with unknown sigma.