Table 1 Summary of existing methods for multi-trait association testing using GWAS summary statistics

From: Genome-wide large-scale multi-trait analysis characterizes global patterns of pleiotropy and unique trait-specific variants

Method

Description

Output

Reference (PMID)

metaCCA

Perform canonical correlation analysis (CCA) using correlation matrices estimated from summary statistics and reference panel

P-value for association with a set of traits (global association)

27153689

MOSTest

Mahalanobis norm of the vector of z-statistics (\({z}^{T}{\Sigma }^{-1}z\)) with correlation matrix \(\Sigma\) estimated form randomly permuted genotypes

32665545

JASS

Omnibus test statistic based on \({z}^{T}{\Sigma }^{-1}z\) and sumZ statistic \(\frac{{\left({w}^{T}Z\right)}^{2}}{{w}^{T}\Sigma w}\)

32002517

MultiPhen

Regression with the genotype as dependent variable and phenotype for multiple traits as independent variable

22567092

metaMANOVA

Test association using multivariate analysis of variance statistic, highly similar to MOSTest and JASS Omnibus test. Correlation matrix \(\Sigma\) is estimated using SNPs with no association with the traits.

29226385

metaUSAT

Optimal combination of metaMANOVA and sum of squared score (SSU) statistics

29226385

HIPO

Search for the linear combination of multi-trait summary statistics that maximizes average non-centrality parameter across SNPs

30289880

MTAG

Use multi-trait summary statistics to obtain single-trait effect size estimates by incorporating a prior distribution on the effect size

Estimate of individual-trait GWAS effect size and associated test statistic

29292387

ASSET/fastASSET

Search for optimal subset of traits that maximizes meta-analysis z-statistic

P-value for association with a set of traits (global association) and a subset of selected traits

22560090