We found no significant association (P < 4.17 × 10−3) with Aβ42 or pTau with any common index variant, whatever the approach (Supplementary Table S11), but the FRMPD4 index variant rs5933929 was significantly associated with cognitive decline in both the r-XCI and e-XCI approaches (P = 2.75 × 10−3 and 3.30 × 10−3 respectively), and the direction of effect of the cognitive decline and AD-risk associations were consistent (Supplementary Table S12). The gene discussed is FRMPD4; the disease is Alzheimer disease.