TABLE 3

Comparison of exact, approximate, and simulation variances

EstimatorLocusRelative pairsExact varianceApproximate varianceSimulation varianceRelative difference of approximation (%)
Embedded ImageATCT00310t1, 10u2, 10v27.55 × 10−46.82 × 10−47.48 × 10−49.59
DXS106810t1, 10u2, 10v21.54 × 10−31.47 × 10−31.50 × 10−34.82
GATA48H0410t1, 10u2, 10v21.50 × 10−31.48 × 10−31.54 × 10−31.52
DXS106820t13.62 × 10−33.31 × 10−33.49 × 10−38.55
DXS106880t18.08 × 10−47.82 × 10−47.93 × 10−43.16
DXS106820u21.97 × 10−31.90 × 10−31.97 × 10−33.29
DXS106880u24.68 × 10−44.60 × 10−44.61 × 10−41.71
DXS106820v21.99 × 10−31.87 × 10−31.95 × 10−35.87
DXS106880v24.64 × 10−44.53 × 10−44.56 × 10−42.37
Embedded ImageATCT00310t1, 10u2, 10v27.45 × 10−46.74 × 10−47.38 × 10−49.59
DXS106810t1, 10u2, 10v21.52 × 10−31.45 × 10−31.49 × 10−34.82
GATA48H0410t1, 10u2, 10v21.49 × 10−31.46 × 10−31.53 × 10−31.52
DXS106820t13.53 × 10−33.23 × 10−33.40 × 10−38.55
DXS106880t18.03 × 10−47.77 × 10−47.88 × 10−43.16
DXS106820u21.95 × 10−31.88 × 10−31.94 × 10−33.29
DXS106880u24.67 × 10−44.59 × 10−44.60 × 10−41.71
DXS106820v21.95 × 10−31.84 × 10−31.91 × 10−35.87
DXS106880v24.61 × 10−44.51 × 10−44.54 × 10−42.37
  • The exact (Equations 15 and 16), approximate (Equation 18 inserted into Equations 15 and 16), and simulation variances were calculated for the combination of 10 male–male (t1), 10 male–female (u2), and 10 female–female (v2) full-sib pairs at the ATCT003 (H = 0.7794), DXS1068 (H = 0.7344), and GATA48H04 (H = 0.6476) loci as well as for sets of 20 and 80 pairs of each full-sib pair type at DXS1068. Simulation variances were calculated over 100,000 replicates. The relative difference of the approximation was computed as 100 × |approximate variance − exact variance|/(exact variance).