participants contributing data for both phenotypes A and B (i.e. 40% sample overlap), such that the analytic dataset was composed of 40,000 unique individuals in total. Both MTAG11 and a Genomic SEM model specified to satisfy the same moment conditions as MTAG (see Supplementary Methods) were then each run with Trait A as the supporting phenotype used to boost power for target Trait B and estimates from MTAG and from Genomic SEM specified to satisfy the MTAG moment conditions were compared. Results indicated near perfect correspondence from a linear regression in which Z statistics from MTAG were used to predict those from a Genomic SEM specified to satisfy the MTAG moment conditions (Supplementary Fig. 20; unstandardized slope = .999, intercept = 2.65E-4).