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Controlling IER, EER, and FDR In Replicated Regular Two-Level Factorial Designs Open Access


Other title
false discovery rate
individual error rate
replicated factorial experiments
experimentwise error rate
Type of item
Degree grantor
University of Alberta
Author or creator
Akinlawon, Oludotun J
Supervisor and department
Li, Pengfei (Mathematical and Statistical Sciences)
Karunamuni, Rohana (Mathematical and Statistical Sciences)
Examining committee member and department
Zhang, Peng (Mathematical and Statistical Sciences)
Yuan, Yan (Public Health)
Department of Mathematical and Statistical Sciences
Date accepted
Graduation date
Master of Science
Degree level
Replicated regular two-level factorial experiments are very useful for industry. The basic purpose of this type of experiments is to identify active effects that affect the mean and variance of the response. Hypothesis testing procedures are widely used for this purpose. However, the existing methods give results that are either too liberal or too conservative in controlling the individual and experimentwise error rates (IER and EER respectively). In this thesis, we propose a resampling procedure and an exact-variance method for identifying active effects for the mean and variance of the response, respectively. Monte Carlo studies show that our proposed methods perform extremely well in terms of controlling the IER and EER. We also extend our proposed methods to control the false discovery rate. Two real data sets were used as case study to illustrate the performance of the proposed methods.
Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
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