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Table 1 True and estimated QTL effects for the simulated data with main and epistatic effects.

From: Fast empirical Bayesian LASSO for multiple quantitative trait locus mapping

Markersa

Position

Trueb

EBLASSOc

EBc

( i, j )

(cM, cM)

β ( h 2 )

  

(11,11)

(50,50)

4.47(0.0975)

4.5801(0.1612)

4.8593(0.2075)

(26,26)

(125,125)

3.16(0.0524)

3.0768(0.1576)

3.3221(0.2035)

(42,42)

(205,205)

-2.24(0.0250)

-2.3169(0.1796)

-2.2769(0.2262)

(48,48)

(235,235)

-1.58(0.0128)

-1.3171(0.1720)

-1.3634(0.2205)

(72,72)

(355,355)

2.24(0.0247)

-

1.6537(0.4277)

(73,73)

(360,360)

3.16(0.0506)

5.1247(0.1555)

3.8771(0.4219)

(123,123)

(610,610)

1.10(0.0062)

-

1.5168(0.2432)

(127,127)

(630,630)

-1.10(0.0063)

-

-1.1834(0.2460)

(161,161)

(800,800)

0.77(0.0030)

-

-

(181,181)

(900,900)

1.73(0.0152)

-

-

(182,182)

(905,905)

3.81(0.0725)

5.6744(0.2400)

5.5127(0.2894)

(185,185)

(920,920)

2.25(0.0263)

1.7123(0.2327)

1.7070(0.2858)

(221,221)

(1100,1100)

-1.30(0.0088)

-1.4276(0.1506)

-1.0867(0.1956)d

(243,243)

(1210,1210)

-1.00(0.0051)

-0.8603(0.1486)

-

(262,262)

(1305,1305)

-2.24(0.0245)

-2.2539(0.1826)

-1.6078(0.2417)

(268,268)

(1335,1335)

1.58(0.0120)

2.4264(0.2040)

2.1736(0.2509)

(270,270)

(1345,1345)

1.00(0.0049)

-

-

(274,274)

(1365,1365)

-1.73(0.0147)

-1.4114(0.1800)

-1.4935(0.2254)

(361,361)

(1800,1800)

0.71(0.0026)

0.7856(0.1457)

0.6520(0.1859)d

(461,461)

(2300,2300)

0.89(0.0040)

-

-

(5,6)

(20,25)

2.24(0.0230)

1.7839(0.1654)

1.5752(0.2886)

(6,39)

(25,190)

2.25(0.0128)

1.9691(0.2168)

-

(42,220)

(205,1095)

4.47(0.0511)

4.3836(0.2198)

4.6414(0.3394)

(75,431)

(370,2150)

0.77(0.0014)

1.1360(0.2124)d

-

(81,200)

(400,995)

-2.24(0.0128)

-2.4190(0.2460)

-

(82,193)

(405,960)

1.58(0.0063)

1.6345(0.2442)

-

(87,164)

(430,815)

3.16(0.0235)

2.9263(0.2254)

1.7059(0.3319)d

(87,322)

(430,1605)

3.81(0.0342)

4.1019(0.2274)

3.7040(0.3632)

(92,395)

(455,1970)

1.73(0.0081)

1.5714(0.2065)d

-

(104,328)

(515,1635)

1.00(0.0024)

0.8081(0.1979)d

-

(118,278)

(585,1385)

-2.24(0.0120)

-2.0796(0.2221)

-2.2590(0.3460)

(150,269)

(745,1340)

1.10(0.0028)

1.0740(0.2142)

-

(237,313)

(1180,1560)

0.71(0.0014)

-

-

(246,470)

(1225,2345)

-1.10(0.0032)

-1.2381(0.2114)d

-

(323,464)

(1610,2315)

0.89(0.0020)

-

-

(328,404)

(1635,2015)

-1.73(0.0079)

-2.3036(0.2123)

-1.9428(0.3330)

(342,420)

(1705,2095)

-1.30(0.0041)

-1.3886(0.2121)d

-

(344,407)

(1715,2030)

-1.00(0.0025)

-

-

(373,400)

(1860,1995)

-1.58(0.0070)

-1.4732(0.2028)

-

(431,439)

(2150,2190)

3.16(0.0278)

2.6700(0.2121)

2.2454(0.3366)d

μ

 

100

100.70

100.59

 

10

11.76

0.25

CPU time

  

3.4 mins

249 hrs

  1. aWhen i = j, the QTL is a main effect; otherwise, it is an epistatic effect.
  2. bThe true value of a QTL effect is denoted by β and the proportion of variance contributed by the QTL is denoted by h2.
  3. cThe estimated QTL effect is denoted by and the standard error is denoted by . The EBLASSO algorithm used hyperparameters a = b = 0.1 and the EB algorithm used hyperparameters τ = -1 and ω = 0.001.
  4. dThe estimated QTL effect was obtained from a neighboring marker (≤ 20 cM away) rather than from the maker with the true effect.