TATES is a modification of the Simes test (which requires phenotypes/tests to be independent) for multiple tests corresponding to different phenotypes when the phenotypes are dependent. Assume that given any particular SNP, X1, …, Xm are p-values for m generally dependent phenotypes (Pheno 1,…, Pheno m). The probability of having at least one true genetic signal among Pheno 1 to Pheno m is estimated with the extended Simes procedure: pTATES=minj{(me/mej)X(j)}.