Table 4.

Power for all tests in simulated data of scenario D, no common SNPs effect, effects of RVs are in the different directions

OR	1.3	1.6	1.9	2.2	2.5	2.8	3.1
Rind	0.062	0.058	0.089	0.095	0.118	0.129	0.164
Rsum	0.054	0.062	0.092	0.083	0.113	0.118	0.158
Bind	0.062	0.06	0.059	0.074	0.085	0.1	0.128
Bsum	0.062	0.059	0.065	0.073	0.09	0.101	0.117
$R_{ind}^{SC}$	0.09	0.15	0.214	0.221	0.314	0.352	0.395
$R_{sum}^{SC}$	0.094	0.151	0.202	0.21	0.335	0.353	0.449
BwSum	0.107	0.096	0.096	0.136	0.179	0.221	0.27
BwOR	0.09	0.126	0.133	0.165	0.211	0.222	0.255
BKML	0.061	0.055	0.054	0.054	0.067	0.067	0.072
BSSU	0.056	0.053	0.052	0.05	0.062	0.062	0.068
BSSUw	0.095	0.126	0.181	0.254	0.314	0.354	0.478
BaSSU	0.086	0.087	0.13	0.138	0.167	0.162	0.229
BaSSUw	0.114	0.145	0.198	0.271	0.311	0.373	0.456
BaSSUOrd	0.113	0.175	0.241	0.289	0.39	0.409	0.566
BaSSUwOrd	0.129	0.2	0.256	0.321	0.385	0.468	0.543
BwSC	0.135	0.148	0.2	0.227	0.297	0.373	0.465
BwSCd	0.134	0.197	0.25	0.34	0.391	0.441	0.558

There is a customized LD structure among common variants and among rare variants.

Randomly selected eight rare variants are causal variants. Others are non-causal variants. Genetic effect parameters OR for eight rare variants are listed in the table. Odds Ratios for another half of rare variants are in different directions. If OR is 2, $OddsRatio=\left(2,2,\frac{1}{2},\frac{1}{2},3,3,\frac{1}{3},\frac{1}{3}\right)$ for eight casual rare variants. Notations of tests are defined similarly as those in Table 1.