A-Optimal Designs for Two-Color Spotted MicroarrayExperiments When Using Technical Replication
| Autor: | Shin-Fu Tsai, 蔡欣甫 |
|---|---|
| Rok vydání: | 2005 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 93 The two-color spotted microarray is a highly effective biotechnology to measure the expression levels of many thousands of genes simultaneously, and it has been commonly used to address various scientific questions in different fields. To date, there are a lot of research works devoted to developing methods of data transformation and data analysis for two-color microarray experiments. However, design issues seem to be relatively unexplored. An appropriate design may guarantee that all the scientific questions of interest are answerable. Also, an efficient design ensures the experimental results as precise as possible subject to scientific and practical constraints. Hence, the statistical design also plays an important role in a two-color microarray study. In the present study, we focus on two major types of experiments in two-color microarray studies: control-test experiments and comparative experiments. We consider the design issues that how to determine which mRNA samples are to be labeled with which fluorescent dye; which mRNA samples are to be hybridized together on the same slide. In the current design framework concerning two-color microarray experiments, random errors are usually assumed to be uncorrelated random variables in the statistical models used to construct designs, but it is often more reasonable to acknowledge that there could be some correlation structure among the random errors. Particularly, when the technical replicates are used in the experiments. The global normalization model proposed by Chai and Liao (2005) is slightly modified to incorporate the possible correlation due to technical replication. Two heuristic algorithms are thus developed to generate A-optimal or highly efficient designs based on the proposed model for the two types of experiments. Fortunately, resulting designs generated from these algorithms are shown to be robust against the correlation due to technique replication. The resulting designs tabularized in the appendix can be immediately used by biologists for conducting two-color microarray experiments. Moreover, some statistical properties and designs with special patterns are also reported. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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