Based on the Fisher combination test [22], to test the association between a SNP and multivariate phenotypic traits, we only need to test the association between the SNP and each marginal phenotypic trait individually. Thus, for m-multivariate phenotypes, we have m marginal p-values: p1,…,pm. The Fisher combination statistic is defined as (1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$ T = \sum_{j=1}^{m} -2\log(p_{j}). $$ \end{document}T=∑j=1m−2log(pj).
