The Annals of Applied Statistics

Molecular QTL discovery incorporating genomic annotations using Bayesian false discovery rate control

Xiaoquan Wen

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Mapping molecular QTLs has emerged as an important tool for understanding the genetic basis of cell functions. With the increasing availability of functional genomic data, it is natural to incorporate genomic annotations into QTL discovery. Discovering molecular QTLs is typically framed as a multiple hypothesis testing problem and solved using false discovery rate (FDR) control procedures. Currently, most existing statistical approaches rely on obtaining $p$-values for each candidate locus through permutation-based schemes, which are not only inconvenient for incorporating highly informative genomic annotations but also computationally inefficient. In this paper, we discuss a novel statistical approach for integrative QTL discovery based on the theoretical framework of Bayesian FDR control. We use a Bayesian hierarchical model to naturally integrate genomic annotations into molecular QTL mapping and propose an empirical Bayes-based computational procedure to approximate the necessary posterior probabilities to achieve high computational efficiency. Through theoretical arguments and simulation studies, we demonstrate that the proposed approach rigorously controls the desired type I error rate and greatly improves the power of QTL discovery when incorporating informative annotations. Finally, we demonstrate our approach by analyzing the expression-genotype data from 44 human tissues generated by the GTEx project. By integrating the simple annotation of SNP distance to transcription start sites, we discover more genes that harbor expression-associated SNPs in all 44 tissues, with an average increase of 1485 genes per tissue.

Article information

Ann. Appl. Stat., Volume 10, Number 3 (2016), 1619-1638.

Received: February 2016
Revised: June 2016
First available in Project Euclid: 28 September 2016

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Molecular QTL genomic annotations Bayesian FDR control QTL mapping


Wen, Xiaoquan. Molecular QTL discovery incorporating genomic annotations using Bayesian false discovery rate control. Ann. Appl. Stat. 10 (2016), no. 3, 1619--1638. doi:10.1214/16-AOAS952.

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Supplemental materials

  • Appendices. Appendices referenced in Sections 2.1, 2.3, 2.4 and 3.2 are provided in the supplementary file.