Statistical Prediction Intervals for the Evaluation of Ground‐Water Quality
- 1 July 1987
- journal article
- Published by Wiley in Groundwater
- Vol. 25 (4) , 455-465
- https://doi.org/10.1111/j.1745-6584.1987.tb02150.x
Abstract
Factors for a normal distribution are given such that one may be 99% confident that the two‐sided prediction interval x̄+rsor the one‐sided prediction interval x̄+rswill contain all of thekfuture values, where x̄ andsare the sample mean and standard deviation obtained fromnprevious values. In the context of ground‐water monitoring, the future samples may represent new monitoring values at each ofkdowngradient wells, and thenprevious values might be the historical monitoring results for one or more upgradient wells. The Tables provided in this paper allow the computation of one‐sided and two‐sided99%prediction intervals for previous sample sizes ofn= 4 to 100 and future samples ofk= 1 to 100. Modification of these intervals for log‐normally distributed data is also presented.Keywords
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