A Statistical Variance Components Framework for Mapping Imprinted Quantitative Trait Locus in Experimental Crosses
Table 2
The power, MLEs, and REMLs of the QTL position, and effect parameters estimated based on 100
simulation replicates for a QTL with no imprinting effect under different
sampling designs. The square roots of the mean squared errors of the parameter
estimates are given in parentheses.
Estimation
Position
Type
I
method
48 cm
10
8
6
1.5
1.5
0.5
0.5
2
Powe
Powe
error
ML
48.78
9.85
8.08
5.80
0.91
0.73
0.78
0.17
2.12
0.91
0.99
0.42
(17.87)
(1.869)
(1.246)
(1.768)
(1.296)
(1.122)
(1.242)
(0.572)
(0.229)
REML
47.2
9.83
8.13
6.23
1.51
1.42
1.52
1.06
2.02
0.92
0.96
0.17
(11.95)
(2.45)
(1.39)
(2.42)
(1.65)
(1.33)
(2.88)
(2.35)
(0.57)
ML
50.04
9.68
7.97
5.87
1.09
1.28
0.98
0.37
2.06
0.81
1.00
0.26
(14.73)
(1.373)
(0.736)
(1.157)
(0.943)
(0.990)
(1.302)
(0.701)
(0.233)
REML
46.9
9.84
8.12
5.91
1.61
1.64
1.02
0.70
2.03
0.98
1.00
0.08
(7.93)
(1.16)
(0.83)
(1.10)
(0.99)
(1.26)
(1.44)
(1.10)
(0.37)
ML
48.96
9.99
7.95
6.05
1.34
1.25
0.60
0.32
2.01
0.98
0.98
0.12
(10.70)
(0.706)
(0.495)
(0.633)
(0.768)
(0.771)
(0.810)
(0.478)
(0.182)
REML
49.74
10.04
7.94
5.89
1.55
1.48
0.69
0.58
1.98
0.95
0.98
0.06
(13.96)
(0.597)
(0.458)
(0.675)
(0.964)
(0.786)
(0.838)
(0.608)
(0.257)
ML
51.34
10.02
7.95
6.02
1.50
1.45
0.58
0.41
2.01
0.55
0.86
0.11
(18.00)
(0.321)
(0.277)
(0.345)
(0.875)
(0.878)
(0.553)
(0.444)
(0.242)
REML
48.4
9.95
8.01
6.01
1.51
1.57
0.62
0.52
1.99
0.67
0.81
0.07
(20.84)
(0.305)
(0.220)
(0.319)
(0.902)
(0.892)
(0.654)
(0.485)
(0.222)
The locations of the QTL are described by
the map distances (in cm) from the first marker of the linkage group (100 cm long). The true QTL is located at 48 cm; Pow is calculated using the empirical distribution
through simulation. Pow is calculated using the theoretical
distribution assuming mixture chi-square distribution. Type I error refers to
the imprinting type I error.
