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This paper is intended to demonstrate that the correlation structure of microarray data provides a rich source of useful information. We discuss distinct correlation substructures revealed in microarray gene expression data by an appropriate ordering of genes. These substructures include stochastic proportionality of expression signals in a large percentage of all gene pairs, negative correlations hidden in ordered gene triples, and a long sequence of weakly dependent random variables associated with ordered pairs of genes. The\nreported striking regularities are of general biological interest and they also have far-reaching implications for theory and practice of statistical methods of microarray data analysis. We illustrate the latter point with a method for testing differential expression of non-overlapping gene pairs. While designed for testing a different null hypothesis, this method provides an order of magnitude more accurate control of type 1 error rate compared to conventional methods of individual gene expre\nssion profiling. In addition, this method is robust to the technical noise. Quantitative inference of the correlation structure has the potential to extend the analysis of microarray data far beyond currently practiced methods."}}]},{"typeName":"keyword","multiple":true,"typeClass":"compound","value":[{"keywordValue":{"typeName":"keywordValue","multiple":false,"typeClass":"primitive","value":"correlation structure"}},{"keywordValue":{"typeName":"keywordValue","multiple":false,"typeClass":"primitive","value":"gene expression"}},{"keywordValue":{"typeName":"keywordValue","multiple":false,"typeClass":"primitive","value":"microarrays"}}]},{"typeName":"publication","multiple":true,"typeClass":"compound","value":[{"publicationCitation":{"typeName":"publicationCitation","multiple":false,"typeClass":"primitive","value":"Lev Klebanov, and Andrei Yakovlev. Forthcoming. \"Diverse Correlation Structures in Microarray Gene Expression Data.\" Ann. Appl. Statist."}}]},{"typeName":"notesText","multiple":false,"typeClass":"primitive","value":"Subject: STANDARD DEPOSIT TERMS 1.0  Type: DATAPASS:TERMS:STANDARD:1.0  Notes: This study was deposited under the of the Data-PASS standard deposit terms. A copy of the usage agreement is included in the file section of this study.;"},{"typeName":"distributor","multiple":true,"typeClass":"compound","value":[{"distributorName":{"typeName":"distributorName","multiple":false,"typeClass":"primitive","value":"Institute for Mathematical Statistics"},"distributorURL":{"typeName":"distributorURL","multiple":false,"typeClass":"primitive","value":"http://www.imstat.org/aoas/"},"distributorLogoURL":{"typeName":"distributorLogoURL","multiple":false,"typeClass":"primitive","value":"http://www.imstat.org/images/imslogo1.gif"}}]},{"typeName":"dateOfDeposit","multiple":false,"typeClass":"primitive","value":"2007-10-01"}]}},"files":[{"description":"Original article for this study","label":"AOAS0703-010R2A0.pdf","restricted":false,"version":1,"datasetVersionId":66709,"categories":["1. 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