This paper explores various methods of statistical analysis of DNA microarray data. First, we review the RMA method which produces estimates of gene expression from a microarray data and propose a new version of RMA that is not only resistant to outliers but also has high efficiency. To construct our new RMA estimator we rely upon M-estimator of location, including Tukey’s biweight and Huber’s M-estimator. We compare the performance of our robust version of RMA with median, the currently used one in the RMA method, as well as mean, which is a non-robust estimator of location. Second, we review the Gene Set Enrichment Analysis (GSEA) methodology. Currently, the GSEA method is performed at gene-level. This requires DNA microarray data be transformed from the raw probe-level data to the gene-level data. This process cannot avoid losing subtle but crucial information contained in the probe-level data. Inspired by the GSEA method, we extend its idea to the probe-level data. Finally, we develop a family of enrichment method - Enrichment Analysis using M-estimator (EAME), which, as implied by its name, uses robust M-estimator and take advantage of the idea of gene set enrichment. At the end of this paper, we use the R language as a tool to show some examples of DNA microarray analysis based on the methodologies discussed in this paper.
Subject (authority = RUETD)
Topic
Statistics and Biostatistics
RelatedItem (type = host)
TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier (type = RULIB)
ETD
Identifier
ETD_5469
PhysicalDescription
Form (authority = gmd)
electronic resource
InternetMediaType
application/pdf
InternetMediaType
text/xml
Extent
x, 113 p. : ill.
Note (type = degree)
Ph.D.
Note (type = bibliography)
Includes bibliographical references
Note (type = statement of responsibility)
by Ning Tang
Subject (authority = ETD-LCSH)
Topic
DNA microarrays
Subject (authority = ETD-LCSH)
Topic
Gene expression
RelatedItem (type = host)
TitleInfo
Title
Graduate School - New Brunswick Electronic Theses and Dissertations
Identifier (type = local)
rucore19991600001
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers, The State University of New Jersey)
Rutgers University. Graduate School - New Brunswick
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License
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Author Agreement License
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