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This is the preliminary program for the 2007 Joint Statistical Meetings in Salt Lake City, Utah.

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Activity Number: 32
Type: Contributed
Date/Time: Sunday, July 29, 2007 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics and the Environment
Abstract - #309574
Title: Weibull Prediction Limits with Retesting
Author(s): Kirk Cameron*+
Companies: MacStat Consulting, Ltd
Address: 10330 Mill Creek Ct, Colorado Springs, CO, 80908,
Keywords: Weibull distribution ; prediction limits ; retesting ; groundwater ; monitoring
Abstract:

EPA guidance for groundwater monitoring recommends simultaneous prediction limits combined with retesting. Under this rubric, an initial exceedance of the background prediction limit among measurements from a set of monitoring wells is followed by a confirmatory test at each exceeding well. This allows control of nominal site-wide false positive rates (SWFPPR) while ensuring power to detect contaminated groundwater. Past research has led to solutions for normal-, lognormal-, and gamma-based limits, as well as non-parametric limits. We extend that work to simultaneous two-parameter Weibull prediction limits, illustrating the theory and providing methods for practical computation. We also compare Weibull limits against other parametric and nonparametric limits in real samples of groundwater data. The Weibull distribution acquits itself as a flexible tool in groundwater monitoring.


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Revised September, 2007