A structural mixed model to shrink covariances matrices for time-course differential gene expression studies - INRAE - Institut national de recherche pour l’agriculture, l’alimentation et l’environnement Accéder directement au contenu
Article Dans Une Revue Computational Statistics and Data Analysis Année : 2009

A structural mixed model to shrink covariances matrices for time-course differential gene expression studies

Résumé

Time-course microarray studies require a particular modelling of covariance matrices when measures are repeated on the same individuals. Taking into account the within-subject correlation in the test statistics for differential gene expression, however, requires a large number of parameters when a gene-specific approach is used, which often results in a lack of power due to the small number of individuals usually considered in microarray experiments. Shrinkage approaches can improve this detection power in differential gene expression studies by reducing the number of parameters, while offering a good flexibility and a small rate of false positives. A natural extension of the shrinkage approach based on a structural mixed model to variance–covariance matrices is proposed. The structural model was used in three configurations to shrink (i) the eigenvalues in an eigenvalue/eigenvector decomposition, (ii) the innovation variances in a Cholesky decomposition, (iii) both the variances and correlation parameters of a gene-by-gene covariance matrix using a Fisher transformation. The proposed methods were applied both to a publicly available data set and to simulated data. They were found to perform well, compared to previously proposed empirical Bayesian approaches, and outperformed the gene-specific or common-covariance methods in many cases.
Fichier non déposé

Dates et versions

hal-02668170 , version 1 (31-05-2020)

Identifiants

Citer

Guillemette Marot, Jean Louis J. L. Foulley, Florence Jaffrezic. A structural mixed model to shrink covariances matrices for time-course differential gene expression studies. Computational Statistics and Data Analysis, 2009, 53 (5), pp.1630-1638. ⟨10.1016/j.csda.2008.04.018⟩. ⟨hal-02668170⟩
4 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More