Table 3 Effect of sample size on results of ETL mapping in random hybridization design of F2 plants (200 replicates)
Sample size | Statistic | b0 | σ2 | ETL 1 | ETL 2 | ETL 3 | ETL 2 × ETL 3 | False-positive rate (%) | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
a1 | d11 | d12 | Posi. | a2 | d21 | Posi. | a3 | Posi. |
| Posi. | Posi. | a | d | iaa | iad | idd | ||||
True value | 100.000 | — | 2.000 | 5.200 | −5.200 | 60.00 | 3.000 | 3.000 | 60.00 | 1.000 | 60.00 | 1.500 | 60.00 | 60.00 | ||||||
100 | Mean | 100.728 | 8.250 | 2.070 | 5.875 | −5.820 | 59.84 | 3.151 | 4.073 | 59.89 | 1.283 | 57.69 | 1.746 | 57.54 | 57.94 | 0.03 | 0.00 | 0.04 | 0.00 | 0.00 |
s.d. | 1.297 | 1.765 | 0.536 | 1.681 | 1.722 | 1.84 | 0.418 | . | 1.57 | 0.238 | 9.42 | 0.529 | 12.63 | 8.36 | ||||||
Power | 0.985 | 0.730 | 0.720 | 1.000 | 0.005 | 0.260 | 0.140 | |||||||||||||
200 | Mean | 100.474 | 6.945 | 1.961 | 5.086 | −5.039 | 59.97 | 3.102 | 3.218 | 59.94 | 0.952 | 58.75 | 1.387 | 58.94 | 58.84 | 0.11 | 0.04 | 0.07 | 0.00 | 0.00 |
s.d. | 0.611 | 0.901 | 0.273 | 0.978 | 0.936 | 0.61 | 0.309 | 0.599 | 1.88 | 0.212 | 9.23 | 0.328 | 8.55 | 8.06 | ||||||
Power | 1.000 | 0.995 | 0.995 | 1.000 | 0.345 | 0.720 | 0.760 | |||||||||||||
400 | Mean | 100.095 | 6.450 | 2.010 | 5.123 | −5.187 | 59.99 | 2.998 | 2.938 | 59.95 | 0.952 | 59.57 | 1.431 | 59.52 | 59.77 | 0.11 | 0.05 | 0.10 | 0.01 | 0.00 |
s.d. | 0.326 | 0.480 | 0.197 | 0.532 | 0.519 | 0.22 | 0.186 | 0.448 | 0.44 | 0.175 | 3.63 | 0.216 | 3.13 | 1.78 | ||||||
Power | 1.000 | 1.000 | 1.000 | 1.000 | 0.940 | 0.985 | 1.000 | |||||||||||||
600 | Mean | 100.058 | 6.510 | 1.988 | 5.141 | −5.204 | 60.00 | 3.005 | 2.866 | 60.00 | 0.973 | 59.93 | 1.475 | 59.96 | 60.07 | 0.11 | 0.09 | 0.09 | 0.02 | 0.00 |
s.d. | 0.244 | 0.368 | 0.133 | 0.431 | 0.426 | 0.04 | 0.147 | 0.401 | 0.03 | 0.142 | 1.41 | 0.159 | 0.48 | 0.55 | ||||||
Power | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | |||||||||||||
1000 | Mean | 100.012 | 6.570 | 2.004 | 5.172 | −5.201 | 60.00 | 3.003 | 2.956 | 60.00 | 0.993 | 59.99 | 1.476 | 60.02 | 59.96 | 0.17 | 0.10 | 0.13 | 0.03 | 0.00 |
s.d. | 0.186 | 0.311 | 0.108 | 0.353 | 0.326 | 0.02 | 0.109 | 0.302 | 0.00 | 0.118 | 0.63 | 0.131 | 0.25 | 0.33 | ||||||
Power | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | |||||||||||||
