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Jackknife method

A jackknife method of estimating the variance is possible if the mean is known. This method is the usual 'delete 1' rather than the 'delete m' version.

This method first requires the computation of the mean of the sample (m)

where x are the sample values.

A series of value w is then computed where

The mean (h) of the w is then taken:

The variance of the mean is

Significance testing and confidence intervals for the mean can then be estimated with the t test.