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Date Available
12-16-2022
Year of Publication
2020
Document Type
Doctoral Dissertation
Degree Name
Doctor of Philosophy (PhD)
College
Arts and Sciences
Department/School/Program
Statistics
Faculty
Dr. Derek S. Young
Faculty
Dr. Katherine Thompson
Abstract
Various methods for constructing simultaneous tolerance intervals for regression models have been developed over the years, but all of them can be shown to be conservative. In this thesis, extensive simulations are conducted to evaluate the degree of conservatism with respect to their coverage probabilities. A new strategy to fit simultaneous tolerance intervals on linear models is proposed by modifying an existing method, which we call the adjusted product set (APS) method. The APS method will also be used to construct simultaneous tolerance bands on response surface and mixture designs.
Digital Object Identifier (DOI)
https://doi.org/10.13023/etd.2020.517
Recommended Citation
Nakamura, Aisaku, "Simultaneous Tolerance Intervals for Response Surface and Mixture Designs Using the Adjusted Product Set Method" (2020). Theses and Dissertations--Statistics. 53.
https://uknowledge.uky.edu/statistics_etds/53
