were combined using the Mantel–Haenszel model.17 The combined Illumina genome-wide typed and combined follow-up sets were joined using summary statistics. P-values were calculated by summing z-scores with each data set’s z-score multiplied by the inverse of that data set’s s.e. divided by the square root of the sum of the squared inverse s.e., and combined ORs were calculated by summing log ORs with each log OR weighted by the inverse of its variance. The CNV association analysis was carried out using exact Mantel–Haenzel tests.