A confidence interval is a mathematical concept that expresses how likely a range will contain the mean of a data set.

So for 100 runs my error is 10%, for 10,000 runs it is 1%. But what does this error mean in terms of the confidence interval I am looking for?

In this situation, the traditional confidence interval constructed for the population mean is known to be unreliable. This article derives confidence intervals based on the likelihood-ratio-test ...

Tryon presented a graphic inferential confidence interval (ICI) approach to analyzing two independent and dependent means for statistical difference, equivalence, replication, indeterminacy, and ...

The meaning of error bars is often misinterpreted, as is the statistical significance of their overlap.

There is reason to believe that current methods for generating confidence intervals for estimates of Ne using the linkage disequilibrium method may be suboptimal in at least some cases.