Multi-stage designs in dose-response studies
| dc.contributor.advisor | Brown, Barry W. | en_US |
| dc.creator | Spears, Floyd Martin | en_US |
| dc.date.accessioned | 2009-06-04T00:31:29Z | en_US |
| dc.date.available | 2009-06-04T00:31:29Z | en_US |
| dc.date.issued | 1993 | en_US |
| dc.description.abstract | Designs are explored that minimize the asymptotic variance of a single parameter in a dose-response study designed to estimate this parameter. An example is a design to find the dose producing 50% response. Uncertainty of parameter values of the dose-response curve is represented as a normal prior distribution. Because the integration of the criterion over the prior distribution is analytically untractable, numeric methods are used to find good designs. The extension to multi-stage experiments is straightforward. The normal prior distribution coupled with the asymptotically normal likelihood yields a normal posterior distribution that is used to optimize the succeeding stage. Simulation results suggest that the asymptotic methods are a good reflection of small sample properties of the designs, even with modest-sized experiments. If initial uncertainty of the parameters is large, two-stage designs can produce accuracy that would require a sample size fifty percent greater with a single-stage design. | en_US |
| dc.format.extent | 84 p. | en_US |
| dc.format.mimetype | application/pdf | en_US |
| dc.identifier.callno | Thesis Stat. 1993 Spears | en_US |
| dc.identifier.citation | Spears, Floyd Martin. "Multi-stage designs in dose-response studies." (1993) Diss., Rice University. <a href="https://hdl.handle.net/1911/16671">https://hdl.handle.net/1911/16671</a>. | en_US |
| dc.identifier.uri | https://hdl.handle.net/1911/16671 | en_US |
| dc.language.iso | eng | en_US |
| dc.rights | Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder. | en_US |
| dc.subject | Statistics | en_US |
| dc.title | Multi-stage designs in dose-response studies | en_US |
| dc.type | Thesis | en_US |
| dc.type.material | Text | en_US |
| thesis.degree.department | Statistics | en_US |
| thesis.degree.discipline | Engineering | en_US |
| thesis.degree.grantor | Rice University | en_US |
| thesis.degree.level | Doctoral | en_US |
| thesis.degree.name | Doctor of Philosophy | en_US |
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