Fig. 1. The multiple trait transmission and de novo association test (mTADA).

For each trait, mTADA divides the all tested genes into two sets: risk and non-risk genes. Therefore, there are four sets when two traits are combined: risk genes for neither of traits (H₀), for the first trait only (H₁), for the second trait only (H₂), and for both traits (H₃). Statistical details of four models for these four hypotheses are described in Table 1. π_j (j = 0..3) are prior probabilities for the four models. From mTADA’s analysis results, each gene has four posterior probabilities (PPs) of the four models (e.g., PP0, PP1, PP2 and PP3 for Model 0, Model 1, Model 2 and Model 3 respectively).