Table 1.
Mean TS |
Theoretical Mean TSc |
Variance (TS) |
||||||||
Sibship Size,h2QTLa, and h2PGb | HE | VH | SR | VC | SR | VC | HE | VH | SR | VC |
2: | ||||||||||
.0: | ||||||||||
.25 | .50 | .50 | .50 | .49 | .50 | .50 | 1.25 | 1.20 | 1.19 | 1.13 |
.50 | .52 | .53 | .52 | .53 | .50 | .50 | 1.38 | 1.42 | 1.37 | 1.43 |
.75 | .52 | .52 | .52 | .52 | .50 | .50 | 1.27 | 1.30 | 1.28 | 1.31 |
.2: | ||||||||||
.05 | 2.51 | 3.52 | 3.51 | 3.29 | 3.62 | 3.63 | 7.96 | 11.79 | 11.49 | 9.30 |
.30 | 3.09 | 3.90 | 3.89 | 3.98 | 4.02 | 4.04 | 10.38 | 13.86 | 13.38 | 14.45 |
.55 | 4.18 | 4.85 | 4.82 | 4.98 | 4.86 | 4.90 | 14.31 | 17.17 | 16.61 | 18.19 |
.5: | ||||||||||
.00 | 14.14 | 18.87 | 18.28 | 20.22 | 19.89 | 20.83 | 48.06 | 65.59 | 58.64 | 67.68 |
.25 | 19.37 | 23.30 | 22.33 | 26.77 | 25.13 | 27.00 | 63.92 | 80.93 | 69.66 | 100.72 |
4: | ||||||||||
.0: | ||||||||||
.25 | .51 | .51 | .51 | .49 | .50 | .50 | 1.29 | 1.36 | 1.36 | 1.23 |
.50 | .51 | .51 | .51 | .50 | .50 | .50 | 1.39 | 1.35 | 1.40 | 1.28 |
.75 | .50 | .50 | .50 | .48 | .50 | .50 | 1.27 | 1.25 | 1.24 | 1.14 |
.2: | ||||||||||
.05 | 5.93 | 8.95 | 9.20 | 8.50 | 9.18 | 8.74 | 24.14 | 40.48 | 41.17 | 31.18 |
.30 | 7.70 | 10.16 | 11.10 | 10.50 | 11.07 | 10.49 | 32.04 | 46.97 | 51.90 | 43.38 |
.55 | 10.51 | 12.54 | 14.40 | 13.63 | 14.62 | 13.77 | 44.68 | 56.14 | 66.35 | 55.69 |
.5: | ||||||||||
.00 | 40.44 | 55.29 | 58.52 | 57.90 | 63.93 | 58.76 | 174.70 | 274.89 | 272.00 | 235.11 |
.25 | 56.67 | 69.06 | 76.54 | 79.78 | 86.12 | 80.00 | 240.21 | 329.19 | 338.17 | 334.87 |
8: | ||||||||||
.0: | ||||||||||
.25 | .52 | .54 | .54 | .50 | .50 | .50 | 1.39 | 1.45 | 1.44 | 1.20 |
.50 | .48 | .50 | .50 | .47 | .50 | .50 | 1.25 | 1.46 | 1.39 | 1.13 |
.75 | .49 | .50 | .52 | .48 | .50 | .50 | 1.25 | 1.33 | 1.48 | 1.21 |
.2: | ||||||||||
.05 | 12.76 | 19.93 | 21.38 | 17.77 | 21.01 | 17.93 | 64.78 | 125.32 | 131.78 | 75.00 |
.30 | 16.71 | 22.57 | 27.13 | 22.56 | 26.97 | 22.61 | 87.76 | 141.59 | 182.60 | 106.90 |
.55 | 23.41 | 28.25 | 37.01 | 30.39 | 37.49 | 30.66 | 131.50 | 181.16 | 261.05 | 145.45 |
.5: | ||||||||||
.00 | 94.16 | 129.38 | 149.27 | 118.58 | 163.30 | 119.09 | 637.61 | 1165.91 | 1245.42 | 615.44 |
.25 | 131.64 | 160.88 | 200.71 | 164.20 | 229.06 | 164.59 | 923.16 | 1395.88 | 1660.64 | 903.14 |
Note.— The empirical mean and variance of the TS are based on 10,000 replicates.
Proportion of the phenotypic variance due to QTL effects.
Proportion of the phenotypic variance due to residual polygenic effects.
The theoretical expected value of the test statistic was calculated as described by Sham et al. (2000a).