Stepwise Hypothesis Testing with Applications in Pharmaceutical Responses
| dc.contributor.advisor | Dennis D. Boos, Committee Member | en_US |
| dc.contributor.advisor | William H. Swallow, Committee Member | en_US |
| dc.contributor.advisor | Roger L. Berger, Committee Chair | en_US |
| dc.contributor.advisor | Anastasios Tsiatis, Committee Member | en_US |
| dc.contributor.author | Gauvin, Jennifer Lynn Shannon | en_US |
| dc.date.accessioned | 2010-04-02T19:19:39Z | |
| dc.date.available | 2010-04-02T19:19:39Z | |
| dc.date.issued | 2004-02-04 | en_US |
| dc.degree.discipline | Statistics | en_US |
| dc.degree.level | dissertation | en_US |
| dc.degree.name | PhD | en_US |
| dc.description.abstract | In some studies researchers seek to identify conditions under which a mean response exceeds a specified threshold. This work examines the case in which such conditions are defined in terms of two quantitative independent variables. For example, a pharmaceutical researcher might want to identify what values of dose and post-dose time yield an average blood concentration above a certain threshold. New methods of specifying a rectangular set of (time, dose) values for which the researcher can assert that the mean response exceeds the threshold are described. By using intersection-union tests applied in a stepwise fashion, the methods maintain a specified high probability that the rectangular set contains no (time, dose) values for which the mean response is lower than the threshold. The observations at each (time, dose) value must be independent, but neither method requires independent observations at different (time, dose) values. For example, concentrations measured on a subject at different time points may be correlated. Exact calculations and simulation studies are used to assess the error rates and performance properties of the new methods. | en_US |
| dc.identifier.other | etd-10212003-203139 | en_US |
| dc.identifier.uri | http://www.lib.ncsu.edu/resolver/1840.16/5771 | |
| dc.rights | I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to NC State University or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report. | en_US |
| dc.subject | intersection-union principle | en_US |
| dc.title | Stepwise Hypothesis Testing with Applications in Pharmaceutical Responses | en_US |
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