Results showed that the effects of the top-associated cis-eQTLs were highly correlated between all the brain regions in GTEx after correcting for estimation errors, with a mean \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hat r_b$$\end{document}r^b of 0.94 (s.e. = 0.004; Fig. 1). These estimates are higher than the Spearman correlation estimates reported in a previous study13 because the Spearman correlation does not account for errors in the estimated SNP effects and therefore underestimates the correlation of true effects especially when the sample size is small. The two cerebellum measures (“brain cerebellar hemisphere” and “brain cerebellum”) appeared to be outliers. The correlation between “brain cerebellar hemisphere” and “brain cerebellum” was almost perfect (\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hat r_b = 0.99$$\end{document}r^b=0.99 and s.e. = 0.002), but the correlations between the two cerebellum regions and the other regions (mean \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hat r_b = 0.89$$\end{document}r^b=0.89 and s.e. = 0.006) were significantly smaller than the pairwise correlations between the other regions (mean \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}
