Means of the QTL position and MLEs of the parameters for two QTL genotypes in a pseudo-test backcross design of different sample sizes (n) under different heritabilities (H2), calculated from 200 simulation replicates. The root of mean squares errors of the estimate of each parameter is in parentheses
| Parameter | True value | n = 100 | n = 200 | ||
|---|---|---|---|---|---|
| H2 = 0.1 | H2 = 0.4 | H2 = 0.1 | H2 = 0.4 | ||
| QTL position | 46 | 45.95 (1.67) | 45.89 (1.64) | 46.02 (1.17) | 45.94 (1.27) |
| R1 | 14 288.2 | 14 371 (1468) | 14 150 (598) | 14 326 (1010) | 14 130 (465) |
| R11 | 132 114 | 131 453 (9543) | 131 654 (3775) | 130 699 (6574) | 131 778 (2764) |
| τ1 | 3.137 | 3.189 (0.135) | 3.148 (0.063) | 3.195 (0.099) | 3.146 (0.040) |
| ψ1 | 0.5256 | 0.526 (0.008) | 0.525 (0.004) | 0.526 (0.006) | 0.525 (0.003) |
| R2 | 14 109 | 13 089 (1334) | 13 963 (557) | 13 092 (883) | 13 875 (419) |
| R12 | 181 502 | 182 249 (13 212) | 182 735 (5410) | 182 150 (8646) | 182 304 (3818) |
| τ2 | 6.862 | 7.225 (0.287) | 6.946 (0.117) | 7.240 (0.198) | 6.962 (0.081) |
| ψ1 | 0.5489 | 0.539 (0.007) | 0.547 (0.003) | 0.539 (0.005) | 0.546 (0.002) |
| ρ1 | 0.9994 | 0.999 | 0.999 | 0.999 | 0.999 |
| ρ2 | 0.9930 | 0.993 | 0.993 | 0.993 | 0.992 |
 | 0.229 | 0.223 (0.033) | 0.224 (0.025) | ||
 | 0.263 | 0.279 (0.046) | 0.279 (0.038) | ||
 | 0.046 | 0.045 (0.006) | 0.045 (0.005) | ||
 | 0.053 | 0.053 (0.007) | 0.05 (0.005) | ||
| Parameter | True value | n = 100 | n = 200 | ||
|---|---|---|---|---|---|
| H2 = 0.1 | H2 = 0.4 | H2 = 0.1 | H2 = 0.4 | ||
| QTL position | 46 | 45.95 (1.67) | 45.89 (1.64) | 46.02 (1.17) | 45.94 (1.27) |
| R1 | 14 288.2 | 14 371 (1468) | 14 150 (598) | 14 326 (1010) | 14 130 (465) |
| R11 | 132 114 | 131 453 (9543) | 131 654 (3775) | 130 699 (6574) | 131 778 (2764) |
| τ1 | 3.137 | 3.189 (0.135) | 3.148 (0.063) | 3.195 (0.099) | 3.146 (0.040) |
| ψ1 | 0.5256 | 0.526 (0.008) | 0.525 (0.004) | 0.526 (0.006) | 0.525 (0.003) |
| R2 | 14 109 | 13 089 (1334) | 13 963 (557) | 13 092 (883) | 13 875 (419) |
| R12 | 181 502 | 182 249 (13 212) | 182 735 (5410) | 182 150 (8646) | 182 304 (3818) |
| τ2 | 6.862 | 7.225 (0.287) | 6.946 (0.117) | 7.240 (0.198) | 6.962 (0.081) |
| ψ1 | 0.5489 | 0.539 (0.007) | 0.547 (0.003) | 0.539 (0.005) | 0.546 (0.002) |
| ρ1 | 0.9994 | 0.999 | 0.999 | 0.999 | 0.999 |
| ρ2 | 0.9930 | 0.993 | 0.993 | 0.993 | 0.992 |
| 0.229 | 0.223 (0.033) | 0.224 (0.025) | ||
| 0.263 | 0.279 (0.046) | 0.279 (0.038) | ||
| 0.046 | 0.045 (0.006) | 0.045 (0.005) | ||
| 0.053 | 0.053 (0.007) | 0.05 (0.005) | ||
The parameters include three types: (i) the position of QTL, (ii) QTL effects specified by genotype-specific DCE parameters and (iii) AR(1) parameters.
Means of the QTL position and MLEs of the parameters for two QTL genotypes in a pseudo-test backcross design of different sample sizes (n) under different heritabilities (H2), calculated from 200 simulation replicates. The root of mean squares errors of the estimate of each parameter is in parentheses
| Parameter | True value | n = 100 | n = 200 | ||
|---|---|---|---|---|---|
| H2 = 0.1 | H2 = 0.4 | H2 = 0.1 | H2 = 0.4 | ||
| QTL position | 46 | 45.95 (1.67) | 45.89 (1.64) | 46.02 (1.17) | 45.94 (1.27) |
| R1 | 14 288.2 | 14 371 (1468) | 14 150 (598) | 14 326 (1010) | 14 130 (465) |
| R11 | 132 114 | 131 453 (9543) | 131 654 (3775) | 130 699 (6574) | 131 778 (2764) |
| τ1 | 3.137 | 3.189 (0.135) | 3.148 (0.063) | 3.195 (0.099) | 3.146 (0.040) |
| ψ1 | 0.5256 | 0.526 (0.008) | 0.525 (0.004) | 0.526 (0.006) | 0.525 (0.003) |
| R2 | 14 109 | 13 089 (1334) | 13 963 (557) | 13 092 (883) | 13 875 (419) |
| R12 | 181 502 | 182 249 (13 212) | 182 735 (5410) | 182 150 (8646) | 182 304 (3818) |
| τ2 | 6.862 | 7.225 (0.287) | 6.946 (0.117) | 7.240 (0.198) | 6.962 (0.081) |
| ψ1 | 0.5489 | 0.539 (0.007) | 0.547 (0.003) | 0.539 (0.005) | 0.546 (0.002) |
| ρ1 | 0.9994 | 0.999 | 0.999 | 0.999 | 0.999 |
| ρ2 | 0.9930 | 0.993 | 0.993 | 0.993 | 0.992 |
| 0.229 | 0.223 (0.033) | 0.224 (0.025) | ||
| 0.263 | 0.279 (0.046) | 0.279 (0.038) | ||
| 0.046 | 0.045 (0.006) | 0.045 (0.005) | ||
| 0.053 | 0.053 (0.007) | 0.05 (0.005) | ||
| Parameter | True value | n = 100 | n = 200 | ||
|---|---|---|---|---|---|
| H2 = 0.1 | H2 = 0.4 | H2 = 0.1 | H2 = 0.4 | ||
| QTL position | 46 | 45.95 (1.67) | 45.89 (1.64) | 46.02 (1.17) | 45.94 (1.27) |
| R1 | 14 288.2 | 14 371 (1468) | 14 150 (598) | 14 326 (1010) | 14 130 (465) |
| R11 | 132 114 | 131 453 (9543) | 131 654 (3775) | 130 699 (6574) | 131 778 (2764) |
| τ1 | 3.137 | 3.189 (0.135) | 3.148 (0.063) | 3.195 (0.099) | 3.146 (0.040) |
| ψ1 | 0.5256 | 0.526 (0.008) | 0.525 (0.004) | 0.526 (0.006) | 0.525 (0.003) |
| R2 | 14 109 | 13 089 (1334) | 13 963 (557) | 13 092 (883) | 13 875 (419) |
| R12 | 181 502 | 182 249 (13 212) | 182 735 (5410) | 182 150 (8646) | 182 304 (3818) |
| τ2 | 6.862 | 7.225 (0.287) | 6.946 (0.117) | 7.240 (0.198) | 6.962 (0.081) |
| ψ1 | 0.5489 | 0.539 (0.007) | 0.547 (0.003) | 0.539 (0.005) | 0.546 (0.002) |
| ρ1 | 0.9994 | 0.999 | 0.999 | 0.999 | 0.999 |
| ρ2 | 0.9930 | 0.993 | 0.993 | 0.993 | 0.992 |
| 0.229 | 0.223 (0.033) | 0.224 (0.025) | ||
| 0.263 | 0.279 (0.046) | 0.279 (0.038) | ||
| 0.046 | 0.045 (0.006) | 0.045 (0.005) | ||
| 0.053 | 0.053 (0.007) | 0.05 (0.005) | ||
The parameters include three types: (i) the position of QTL, (ii) QTL effects specified by genotype-specific DCE parameters and (iii) AR(1) parameters.
