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. Author manuscript; available in PMC: 2012 Oct 9.
Published in final edited form as: Stat Interface. 2011;4(3):359–371. doi: 10.4310/sii.2011.v4.n3.a10

Table 3. The median (Q1 – Q3)* numbers of SNPs selected in the first stage of a two-stage GWA study using the FNR-based approach for the five simulation models, given pre-specified multi-testing powers (50%, 60%, 70%, 80%and 90%) and different parameter λ values (10-5, 5×10-5, 10-4, and 10-3), based on 100 replicates.

Model (#of causal SNPs) Parameter values Pre-specified multi-testing powers

50% 60% 70% 80% 90%
Model 1 (5) λ = 10−5 3(2-5) 4(2-6) 5(3-7) 6(4-9) 8(4-11)
λ =5 × 10−5 5(1-10) 7(1-14) 9(2-19) 12(2-25) 15(2-30)
λ = 10−4 10(2-20) 16(3-30) 21(3-39) 28(4-46) 36(4-54)
λ = 10−3 130(1-254) 180(1-314) 223(1-379) 284(1-418) 335(1-464)
Model 2 (10) λ = 10−5 7(4-8) 8(5-11) 10(7-13) 12(8-16) 14(9-18)
λ = 5 × 10−5 11(8-17) 16(11-22) 22(15-28) 27(18-36) 35(21-43)
λ = 10−4 19(11-26) 25(15-35) 34(19-43) 46(26-55) 56(38-66)
λ = 10−3 172(85-246) 246(138-317) 314(187-378) 395(228-465) 476(273-525)
Model 3 (15) λ = 10−5 12(10−15) 15(13-19) 18(15-22) 21(18-26) 25(21-30)
λ = 5×10−5 24(18-29) 31(24-37) 39(31-45) 46(38-55) 56(46-64)
λ = 10−4 35(27-41) 45(36-53) 58(47-68) 70(61-83) 86(74-100)
λ = 10−3 194(147-229) 272(204-314) 349(280-412) 430(372-491) 535(461-581)
Model 4 (20) λ = 10−5 19(16-23) 24(20-28) 28(24-33) 33(28-39) 38(33-44)
λ = 5 × 10−5 34(30-39) 43(36-50) 52(45-60) 63(54-71) 73(64-84)
λ = 10−4 48(38-54) 62(50-68) 75(63-86) 92(78-103) 111(95-124)
λ = 10−3 193(159-228) 272(215-312) 355(304-419) 456(392-523) 573(506-628)
Model 5 (25) λ = 10−5 15(11-17) 18(14-22) 21(17-25) 25(20-29) 29(23-34)
λ = 5 × 10−5 28(22-32) 36(29-40) 44(37-49) 54(44-60) 63(54-71)
λ = 10−4 40(32-47) 52(44-61) 65(54-76) 81(65-91) 94(83-108)
λ = 10−3 212(170-257) 288(228-339) 379(311-428) 461(399-528) 566(508-627)
*

Q1: 1st quartile Q3: 3rd quartile

λ: parameter used for estimating number of null hypotheses.