Table 4.
MLEs of parental zygote frequencies and their standard deviations and the empirical power of double reduction detection estimated from simulated data for a natural panmictic autohexaploid population under different degrees of double reduction and sample sizes
Estimates of Parental Genotype Frequencies | ||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
α = 0 | 1/7 | 1/6 | 1/5 | 1/4 | ||||||||||||
Genotype True Value | n = 100 | 200 | 400 | 100 | 200 | 400 | 100 | 200 | 400 | 100 | 200 | 400 | 100 | 200 | 400 | |
6A | P6 = 0.10 | 0.102 ± 0.065 | 0.103 ± 0.051 | 0.101 ± 0.035 | 0.1116 ± 0.067 | 0.116 ± 0.53 | 0.117 ± 0.040 | 0.118 ± 0.070 | 0.116 ± 0.052 | 0.118 ± 0.038 | 0.120 ± 0.070 | 0.121 ± 0.053 | 0.122 ± 0.041 | 0.126 ± 0.071 | 0.126 ± 0.053 | 0.127 ± 0.044 |
5A1a | P5 = 0.05 | 0.046 ± 0.029 | 0.049 ± 0.023 | 0.049 ± 0.015 | 0.049 ± 0.030 | 0.052 ± 0.022 | 0.052 ± 0.016 | 0.052 ± 0.032 | 0.052 ± 0.022 | 0.052 ± 0.016 | 0.052 ± 0.032 | 0.051 ± 0.022 | 0.052 ± 0.016 | 0.052 ± 0.029 | 0.053 ± 0.023 | 0.053 ± 0.016 |
4A2a | P4 = 0.20 | 0.210 ± 0.124 | 0.204 ± 0.092 | 0.199 ± 0.061 | 0.200 ± 0.114 | 0.197 ± 0.085 | 0.192 ± 0.059 | 0.200 ± 0.114 | 0.197 ± 0.084 | 0.192 ± 0.057 | 0.200 ± 0.115 | 0.191 ± 0.082 | 0.190 ± 0.057 | 0.196 ± 0.106 | 0.190 ± 0.077 | 0.186 ± 0.056 |
3A3a | P3 = 0.25 | 0.228 ± 0.066 | 0.233 ± 0.039 | 0.244 ± 0.024 | 0.212 ± 0.067 | 0.218 ± 0.046 | 0.226 ± 0.032 | 0.205 ± 0.071 | 0.218 ± 0.045 | 0.224 ± 0.033 | 0.202 ± 0.072 | 0.216 ± 0.047 | 0.220 ± 0.037 | 0.201 ± 0.071 | 0.209 ± 0.051 | 0.214 ± 0.041 |
2A4a | P2 = 0.13 | 0.151 ± 0.115 | 0.139 ± 0.072 | 0.137 ± 0.048 | 0.141 ± 0.099 | 0.127 ± 0.063 | 0.127 ± 0.043 | 0.136 ± 0.095 | 0.127 ± 0.060 | 0.126 ± 0.042 | 0.133 ± 0.088 | 0.129 ± 0.059 | 0.123 ± 0.042 | 0.125 ± 0.078 | 0.123 ± 0.057 | 0.121 ± 0.040 |
1A5a | P1 = 0.10 | 0.103 ± 0.064 | 0.106 ± 0.053 | 0.105 ± 0.037 | 0.108 ± 0.069 | 0.105 ± 0.053 | 0.103 ± 0.036 | 0.108 ± 0.071 | 0.104 ± 0.051 | 0.103 ± 0.036 | 0.109 ± 0.071 | 0.107 ± 0.051 | 0.103 ± 0.036 | 0.106 ± 0.065 | 0.105 ± 0.050 | 0.103 ± 0.035 |
6a | P0 = 0.17 | 0.161 ± 0.082 | 0.167 ± 0.062 | 0.165 ± 0.045 | 0.175 ± 0.079 | 0.183 ± 0.061 | 0.183 ± 0.044 | 0.181 ± 0.089 | 0.185 ± 0.060 | 0.185 ± 0.045 | 0.184 ± 0.080 | 0.185 ± 0.060 | 0.189 ± 0.045 | 0.194 ± 0.079 | 0.193 ± 0.061 | 0.196 ± 0.048 |
Rejecting null hypothesis | 0.092 | 0.086 | 0.083 | 0.667 | 0.713 | 0.750 | 0.708 | 0.717 | 0.762 | 0.709 | 0.727 | 0.779 | 0.742 | 0.785 | 0.855 |
The proportion of rejecting the null hypothesis is the power of double reduction detection for the simulated data under α ≠ 0 and the rate of false positive discovery under α = 0.