Table 1.
Number of founders | 200 |
400 |
|||
---|---|---|---|---|---|
Sample a | Population | Sample | Population | ||
Analytical approximation | |||||
RMSEb | Absolute | 0.0015 | 0.0026 | 0.0006 | 0.0007 |
Relative | 0.27 | 0.34 | 0.24 | 0.28 | |
Biasc | Absolute | −0.0009 | −0.0012 | −0.0002 | −0.0002 |
Relative | −0.18 | −0.18 | −0.02 | 0.01 | |
Monte Carlo approximation | |||||
RMSE | Absolute | 0.0015 | 0.0026 | 0.0006 | 0.0008 |
Relative | 0.27 | 0.35 | 0.26 | 0.32 | |
Bias | Absolute | −0.0009 | −0.0012 | −0.0002 | −0.0001 |
Relative | −0.17 | −0.17 | −0.01 | 0.02 |
aMean kinship coefficient among founders from the sample or in the population. bRMSE: Root mean square error. If we denote the RV sharing probability at the rth replicate by and its approximation by , then the absolute RMSE is equal to , and the relative RMSE is equal to where . cThe absolute bias is equal to , and the relative bias is equal to with .