Dr. Thomas Mathew, Department of Statistics, UMBC
Tolerance Intervals and Regions: An introduction and Some Applications
July 21, 2023
Link to register: https://jhuapl.zoomgov.com/meeting/register/vJItfu-hrTssGtWbK4MGeAEzaiqlGtzDF50
Recording will be posted on the SDNS YouTube Channel when available
Abstract: A tolerance interval is an interval that is expected to capture a specified proportion or more of a population with a given confidence level. The interval is constructed using a random sample, and the confidence level refers to the sampling variability. A tolerance region is similarly defined for a multivariate population. In the talk, tolerance intervals and regions will be formally defined, their computation will be briefly explained for some univariate and multivariate populations, and illustrated using several real applications. The applications include testing the ballistic resistance of personal body armor, the assessment of whether the distribution of the peak cladding temperature (PCT) of a nuclear power plant is below a regulatory requirement, and the computation of reference intervals and regions in laboratory medicine.
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