Abstract #301105

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JSM 2003 Abstract #301105
Activity Number: 98
Type: Contributed
Date/Time: Monday, August 4, 2003 : 9:00 AM to 10:50 AM
Sponsor: General Methodology
Abstract - #301105
Title: Hierarchical Bayes Analyses for a Calibration Experiment
Author(s): Stephen B. Vardeman*+ and Reid D. Landes and Peter Loutzenhiser
Companies: Iowa State University and University of Iowa and Iowa State University
Address: Department of Statistics, Ames, IA, 50011-1210,
Keywords: MCMC ; WinBUGS®
Abstract:

We consider hierarchical Bayes analyses of an experiment conducted to enable calibration of a set of mass-produced thermocouples. Irregularly overlapping groups of these were sequentially placed into a stable liquid environment with a precise NIST-approved thermometer, and thermocouple resistances and temperatures were recorded every 30 seconds. Under the assumptions that the thermometer is accurate and each thermocouple responds linearly to temperature change, we use hierarchical Bayes methods to estimate the parameters of the linear calibration equations. Predictions of the parameters for an untested thermocouple of the same batch, and interval estimates of temperature based on a given resistance reading are also available (both for the tested thermocouples and for an untested one of the same batch).

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