Likelihood and Bayesian Methods for Accurate Identification of Measurement Biases in Pseudo Steady-State Processes

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Devanathan, Sriram
Rollins, Derrick
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Vardeman, Stephen
University Professor Emeritus
Rollins, Derrick K
University Professor Emeritus
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Chemical and Biological Engineering

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Industrial and Manufacturing Systems Engineering
The Department of Industrial and Manufacturing Systems Engineering teaches the design, analysis, and improvement of the systems and processes in manufacturing, consulting, and service industries by application of the principles of engineering. The Department of General Engineering was formed in 1929. In 1956 its name changed to Department of Industrial Engineering. In 1989 its name changed to the Department of Industrial and Manufacturing Systems Engineering.
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Two new approaches are presented for improved identification of measurement biases in linear pseudo steady-state processes. Both are designed to detect a change in the mean of a measured variable leading to an inference regarding the presence of a biased measurement. The first method is based on a likelihood ratio test for the presence of a mean shift. The second is based on a Bayesian decision rule (relying on prior distributions for unknown parameters) for the detection of a mean shift. The performance of these two methods is compared with that of a method given by Devanathan et al. (2000). For the process studied, both techniques were found to have higher identification power than the method of Devanathan et al. and appears to have excellent but sightly lower type I error performance than the Devanathan et al. method.


This is an accepted manuscript of an article published as Likelihood and Bayesian methods for accurate identification of measurement biases in pseudo steady-state processes. Chemical Engineering Research and Design: Part A, 2005, Vol. 83(A12), pp. 1391-1398. With Sriram Devanathan and Derrick Rollins. © 2005. This manuscript version is made available under the CC-BY-NC-ND 4.0 license

Thu Jan 01 00:00:00 UTC 2004