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Multivariate regression analysis of distance matrices for testing associations between gene expression patterns and related variables

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Zapala, Matthew A., Schork, Nicholas J.·2006·Proceedings of the National Academy of Sciences

Abstract

A fundamental step in the analysis of gene expression and other high-dimensional genomic data is the calculation of the similarity or distance between pairs of individual samples in a study. If one has collected N total samples and assayed the expression level of G genes on those samples, then an N × N similarity matrix can be formed that reflects the correlation or similarity of the samples with respect to the expression values over the G genes. This matrix can then be examined for patterns via standard data reduction and cluster analysis techniques. We consider an alternative to conventional data reduction and cluster analyses of similarity matrices that is rooted in traditional linear models. This analysis method allows predictor variables collected on the samples to be related to variation in the pairwise similarity/distance values reflected in the matrix. The proposed multivariate method avoids the need for reducing the dimensions of a similarity matrix, can be used to assess relationships between the genes used to construct the matrix and additional information collected on the samples under study, and can be used to analyze individual genes or groups of genes identified in different ways. The technique can be used with any high-dimensional assay or data type and is ideally suited for testing subsets of genes defined by their participation in a biochemical pathway or other a priori grouping. We showcase the methodology using three published gene expression data sets.

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Metadata

Authors
Zapala, M. A., & Schork, N. J.
Venue
Proceedings of the National Academy of Sciences
Published
2006-12-19
Volume
103
Issue
51
Pages
19430-19435
ISSN
  • 0027-8424 (ISSN-L)
  • 1091-6490
OpenAlex
W2001259146
Cited by
294
References
11
FWCI
1.84
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Multivariate regression analysis of distance matrices for testing associations between gene expression patterns and related variables. https://app.cochat.ai/papers/10.1073/pnas.0609333103
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Zapala, M. A., & Schork, N. J. (2006). Multivariate regression analysis of distance matrices for testing associations between gene expression patterns and related variables. Proceedings of the National Academy of Sciences. https://doi.org/10.1073/pnas.0609333103

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