Following Wakefield [29], we found the estimated log-odds for association, , under a multiplicative genetic model for rs2135551, together with its estimated variance V, from standard logistic regression of each dataset. Given a prior odds of PO for the association being true, and a prior distribution of ∼N(μ,W) for θ under the hypothesis of true association, we found the posterior odds having observed new data at each stage as , and updated the posterior distribution of θ under the hypothesis of true association as . We then entered these posteriors as priors into the analysis of the next set of data. To start, we set PO = 1/100000 following the Wellcome Trust Case Control Consortium [58] (i.e., assuming a million independent regions of the genome and 10 detectible causal loci for schizophrenia), and following Wakefield, 2007 [29] we set μ = 0 and W = (log(1.5)/1.96)2 (i.e., assuming that 95% of all casual effects fall between 2/3 and 3/2 per allele under a multiplicative genetic model).
