  Mapping expression Quantitative Trait Loci (eQTLs) represents a powerful and
widely-adopted approach to identifying putative regulatory variants and linking
them to specific genes. Up to now eQTL studies have been conducted in a
relatively narrow range of tissues or cell types. However, understanding the
biology of organismal phenotypes will involve understanding regulation in
multiple tissues, and ongoing studies are collecting eQTL data in dozens of
cell types. Here we present a statistical framework for powerfully detecting
eQTLs in multiple tissues or cell types (or, more generally, multiple
subgroups). The framework explicitly models the potential for each eQTL to be
active in some tissues and inactive in others. By modeling the sharing of
active eQTLs among tissues this framework increases power to detect eQTLs that
are present in more than one tissue compared with "tissue-by-tissue" analyses
that examine each tissue separately. Conversely, by modeling the inactivity of
eQTLs in some tissues, the framework allows the proportion of eQTLs shared
across different tissues to be formally estimated as parameters of a model,
addressing the difficulties of accounting for incomplete power when comparing
overlaps of eQTLs identified by tissue-by-tissue analyses. Applying our
framework to re-analyze data from transformed B cells, T cells and fibroblasts
we find that it substantially increases power compared with tissue-by-tissue
analysis, identifying 63% more genes with eQTLs (at FDR=0.05). Further the
results suggest that, in contrast to previous analyses of the same data, the
majority of eQTLs detectable in these data are shared among all three tissues.
