A Confidence Region for Zero-Gradient Solutions for Robust Parameter Design Experiments
Joint Authors
Chitturi, Pallavi
Peterson, John
Cheng, Aili
Source
International Journal of Quality, Statistics, and Reliability
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-06
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Economics & Business Administration
Economy
Abstract EN
One of the key issues in robust parameter design is to configure the controllable factors to minimize the variance due to noise variables.
However, it can sometimes happen that the number of control variables is greater than the number of noise variables.
When this occurs, two important situations arise.
One is that the variance due to noise variables can be brought down to zero The second is that multiple optimal control variable settings become available to the experimenter.
A simultaneous confidence region for such a locus of points not only provides a region of uncertainty about such a solution, but also provides a statistical test of whether or not such points lie within the region of experimentation or a feasible region of operation.
However, this situation requires a confidence region for the multiple-solution factor levels that provides proper simultaneous coverage.
This requirement has not been previously recognized in the literature.
In the case where the number of control variables is greater than the number of noise variables, we show how to construct critical values needed to maintain the simultaneous coverage rate.
Two examples are provided as a demonstration of the practical need to adjust the critical values for simultaneous coverage.
American Psychological Association (APA)
Cheng, Aili& Peterson, John& Chitturi, Pallavi. 2011. A Confidence Region for Zero-Gradient Solutions for Robust Parameter Design Experiments. International Journal of Quality, Statistics, and Reliability،Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-479631
Modern Language Association (MLA)
Cheng, Aili…[et al.]. A Confidence Region for Zero-Gradient Solutions for Robust Parameter Design Experiments. International Journal of Quality, Statistics, and Reliability No. 2011 (2011), pp.1-11.
https://search.emarefa.net/detail/BIM-479631
American Medical Association (AMA)
Cheng, Aili& Peterson, John& Chitturi, Pallavi. A Confidence Region for Zero-Gradient Solutions for Robust Parameter Design Experiments. International Journal of Quality, Statistics, and Reliability. 2011. Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-479631
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479631