Methods for Obtaining a Distribution-Free Prediction Interval for the Median of a Future Sample
Michael A. Fligner, Douglas A. Wolfe · Journal of Quality Technology · 1979
In this paper some quality control applications of distribution-free prediction intervals for the median of a future sample are described. Methods for obtaining such intervals are presented, and their use is illustrated by examples. Tables are provided for calculating such prediction intervals for small samples; approximations are provided for sample sizes beyond the scope of the tables. The Appendix provides formulae for constructing prediction intervals to contain not only the median of a future sample, but also any future sample percentile.