McMaster University

Graduate Program in Statistics



STATISTICS SEMINAR



SPEAKER:
Haim Shore,
Department of Industrial Engineering and Management
Ben-Gurion University of the Negev, Israel.
Date :Wednesday September 12, 2001.
Time : 3:30pm
Address Burke Science Building
Room: 137
TITLE:
Modeling a Response with Self-Generated and Externally Generated Sources of Variation - Some Empirical Evidence
ABSTRACT:
A quality practitioner is often required to model the relationship between a response and the affecting factors where no theory-based models exist, or are satisfactorily well-developed. In a recent paper, we have introduced a new approach to model a response, assuming that the latter experiences both self-generated and externally generated sources of variation. It was assumed that while both sources transmit to the response random variation modeled by independent normal variables, the externally-generated variation includes also a systematic component, transmitted via a "linear predictor" (a linear combination of the external affecting factors). The final form of the model is determined by the data on hand only. In a more recent paper, a maximum likelihood estimation procedure (with censoring) has been developed for the new model. In this presentation, we will outline the model, and demonstrate its versatility in capturing, without resorting to theory-based arguments, the relationship between a response and the affecting factors. We do this by some examples from chemical engineering, software reliability-growth modeling and hardware reliability. The goodness-of-fit of the resulting models is compared to that of fitted theory-based models using some published data sets. Implications for various related fields, like robust parameter design or RSM, are discussed.
About the Speaker
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References
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Department of Mathematics and Statistics
Graduate Program in Statistics

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Last updated on September 20, 2001