As we were able to obtain specific phenotypes (ER, HER2, and grade) of breast cancers from a validation cohort (GSE1456 25), we further investigated if our genes (OS: seven genes, DFS: three genes) could predict OS and DFS independently by comparing the specific phenotype with and without our findings, respectively (i.e., deviation from a multiplicative model). The gene discussed is ESR1; the disease is breast cancer.