Table 2. Simulation results - lognormal distribution.
| Scenario | π | μ | σ | Prediction Error | |||||
|---|---|---|---|---|---|---|---|---|---|
|
|
|
|
|||||||
| Estimate | (sd) | Bias | Estimate | Bias | Estimate | Bias | |||
| N=25 cases | |||||||||
| π | (μ; σ) | ||||||||
| 0.10 | Sc 1: (-2.0; 1.5) | 0.139 | (0.218) | 0.039 | -1.62 | 0.38 | 1.06 | -0.44 | 0.103 |
| Sc 2: (-1; 1) | 0.122 | (0.139) | 0.022 | -1.08 | -0.08 | 0.74 | -0.26 | 0.046 | |
| Sc 3: (-0.25; 0.50) | 0.108 | (0.069) | 0.008 | -0.38 | -0.13 | 0.45 | -0.05 | 0.013 | |
| Sc 4: (0.55; 0.45) | 0.104 | (0.062) | 0.004 | 0.40 | -0.15 | 0.43 | -0.02 | 0.009 | |
| Sc 5: (0.7; 0.3) | 0.104 | (0.061) | 0.004 | 0.56 | -0.14 | 0.36 | 0.06 | 0.009 | |
| 0.25 | Sc 1: (-2.0; 1.5) | 0.273 | (0.189) | 0.023 | -1.91 | 0.09 | 1.08 | -0.42 | 0.105 |
| Sc 2: (-1; 1) | 0.262 | (0.115) | 0.012 | -1.10 | -0.10 | 0.82 | -0.18 | 0.035 | |
| Sc 3: (-0.25; 0.50) | 0.250 | (0.090) | 0.000 | -0.28 | -0.03 | 0.41 | -0.09 | 0.003 | |
| Sc 4: (0.55; 0.45) | 0.249 | (0.088) | -0.001 | 0.53 | -0.02 | 0.38 | -0.07 | 0.001 | |
| Sc 5: (0.7; 0.3) | 0.249 | (0.087) | -0.001 | 0.69 | -0.01 | 0.26 | -0.04 | 0.000 | |
| 0.50 | Sc 1: (-2.0; 1.5) | 0.528 | (0.211) | 0.028 | -2.04 | -0.04 | 1.32 | -0.18 | 0.137 |
| Sc 2: (-1; 1) | 0.506 | (0.116) | 0.006 | -1.06 | -0.06 | 0.95 | -0.05 | 0.034 | |
| Sc 3: (-0.25; 0.50) | 0.499 | (0.100) | -0.001 | -0.27 | -0.02 | 0.47 | -0.03 | 0.002 | |
| Sc 4: (0.55; 0.45) | 0.498 | (0.100) | -0.002 | 0.54 | -0.01 | 0.42 | -0.03 | 0.000 | |
| Sc 5: (0.7; 0.3) | 0.498 | (0.100) | -0.002 | 0.69 | -0.01 | 0.27 | -0.03 | 0.000 | |
| 0.75 | Sc 1: (-2.0; 1.5) | 0.747 | (0.168) | -0.003 | -1.97 | 0.03 | 1.35 | -0.15 | 0.122 |
| Sc 2: (-1; 1) | 0.759 | (0.103) | 0.009 | -1.04 | -0.04 | 0.96 | -0.04 | 0.037 | |
| Sc 3: (-0.25; 0.50) | 0.754 | (0.087) | 0.004 | -0.26 | -0.01 | 0.47 | -0.03 | 0.002 | |
| Sc 4: (0.55; 0.45) | 0.754 | (0.087) | 0.004 | 0.54 | -0.01 | 0.43 | -0.02 | 0.000 | |
| Sc 5: (0.7; 0.3) | 0.754 | (0.087) | 0.004 | 0.69 | -0.01 | 0.28 | -0.02 | 0.000 | |
|
| |||||||||
| N = 100 cases | |||||||||
| π | (μ ; σ) | ||||||||
| 0.10 | Sc 1: (-2.0; 1.5) | 0.121 | (0.122) | 0.021 | -1.98 | 0.02 | 1.17 | -0.33 | 0.051 |
| Sc 2: (-1; 1) | 0.105 | (0.040) | 0.005 | -1.10 | -0.10 | 0.90 | -0.10 | 0.013 | |
| Sc 3: (-0.25; 0.50) | 0.100 | (0.031) | 0.000 | -0.27 | -0.02 | 0.44 | -0.06 | 0.001 | |
| Sc 4: (0.55; 0.45) | 0.100 | (0.031) | 0.000 | 0.54 | -0.01 | 0.40 | -0.05 | 0.000 | |
| Sc 5: (0.7; 0.3) | 0.100 | (0.031) | 0.000 | 0.69 | -0.01 | 0.26 | -0.04 | 0.000 | |
| 0.25 | Sc 1: (-2.0; 1.5) | 0.266 | (0.101) | 0.016 | -2.09 | -0.09 | 1.42 | -0.08 | 0.058 |
| Sc 2: (-1; 1) | 0.251 | (0.050) | 0.001 | -1.04 | -0.04 | 0.96 | -0.04 | 0.013 | |
| Sc 3: (-0.25; 0.50) | 0.250 | (0.043) | 0.000 | -0.27 | -0.02 | 0.48 | -0.02 | 0.001 | |
| Sc 4: (0.55; 0.45) | 0.250 | (0.043) | 0.000 | 0.54 | -0.01 | 0.43 | -0.02 | 0.000 | |
| Sc 5: (0.7; 0.3) | 0.250 | (0.043) | 0.000 | 0.69 | -0.01 | 0.29 | -0.01 | 0.000 | |
| 0.50 | Sc 1: (-2.0; 1.5) | 0.508 | (0.113) | 0.008 | -2.05 | -0.05 | 1.47 | -0.03 | 0.069 |
| Sc 2: (-1; 1) | 0.497 | (0.054) | -0.003 | -1.01 | -0.01 | 0.98 | -0.02 | 0.013 | |
| Sc 3: (-0.25; 0.50) | 0.498 | (0.049) | -0.002 | -0.26 | -0.01 | 0.49 | -0.01 | 0.001 | |
| Sc 4: (0.55; 0.45) | 0.498 | (0.049) | -0.002 | 0.54 | -0.01 | 0.45 | 0.00 | 0.000 | |
| Sc 5: (0.7; 0.3) | 0.499 | (0.049) | -0.001 | 0.69 | -0.01 | 0.30 | 0.00 | 0.000 | |
| 0.75 | Sc 1: (-2.0; 1.5) | 0.764 | (0.115) | 0.014 | -2.07 | -0.07 | 1.48 | -0.02 | 0.081 |
| Sc 2: (-1; 1) | 0.750 | (0.051) | 0.000 | -1.03 | -0.03 | 0.99 | -0.01 | 0.014 | |
| Sc 3: (-0.25; 0.50) | 0.750 | (0.044) | 0.000 | -0.27 | -0.02 | 0.50 | 0.00 | 0.001 | |
| Sc 4: (0.55; 0.45) | 0.751 | (0.044) | 0.001 | 0.54 | -0.01 | 0.45 | 0.00 | 0.000 | |
| Sc 5: (0.7; 0.3) | 0.751 | (0.044) | 0.001 | 0.69 | -0.01 | 0.30 | 0.00 | 0.000 | |
|
| |||||||||
| N = 1000 cases | |||||||||
| π | (μ; σ) | ||||||||
| 0.10 | Sc 1: (-2.0; 1.5) | 0.104 | (0.022) | 0.004 | -2.07 | -0.07 | 1.50 | 0.00 | 0.014 |
| Sc 2: (-1; 1) | 0.100 | (0.011) | 0.000 | -1.01 | -0.01 | 0.99 | -0.01 | 0.003 | |
| Sc 3: (-0.25; 0.50) | 0.101 | (0.010) | 0.001 | -0.26 | -0.01 | 0.50 | 0.00 | 0.000 | |
| Sc 4: (0.55; 0.45) | 0.101 | (0.010) | 0.001 | 0.54 | -0.01 | 0.45 | 0.00 | 0.000 | |
| Sc 5: (0.7; 0.3) | 0.101 | (0.010) | 0.001 | 0.69 | -0.01 | 0.30 | 0.00 | 0.000 | |
| 0.25 | Sc 1: (-2.0; 1.5) | 0.249 | (0.028) | -0.001 | -2.01 | -0.01 | 1.48 | -0.02 | 0.016 |
| Sc 2: (-1; 1) | 0.248 | (0.015) | -0.002 | -1.01 | -0.01 | 0.99 | -0.01 | 0.004 | |
| Sc 3: (-0.25; 0.50) | 0.249 | (0.014) | -0.001 | -0.26 | -0.01 | 0.50 | 0.00 | 0.000 | |
| Sc 4: (0.55; 0.45) | 0.250 | (0.014) | 0.000 | 0.54 | -0.01 | 0.45 | 0.00 | 0.000 | |
| Sc 5: (0.7; 0.3) | 0.250 | (0.014) | 0.000 | 0.69 | -0.01 | 0.30 | 0.00 | 0.000 | |
| 0.50 | Sc 1: (-2.0; 1.5) | 0.496 | (0.031) | -0.004 | -2.00 | 0.00 | 1.48 | -0.02 | 0.019 |
| Sc 2: (-1; 1) | 0.498 | (0.019) | -0.002 | -1.01 | -0.01 | 0.99 | -0.01 | 0.004 | |
| Sc 3: (-0.25; 0.50) | 0.500 | (0.017) | 0.000 | -0.26 | -0.01 | 0.50 | 0.00 | 0.000 | |
| Sc 4: (0.55; 0.45) | 0.500 | (0.017) | 0.000 | 0.54 | -0.01 | 0.45 | 0.00 | 0.000 | |
| Sc 5: (0.7; 0.3) | 0.500 | (0.017) | 0.000 | 0.69 | -0.01 | 0.30 | 0.00 | 0.000 | |
| 0.75 | Sc 1: (-2.0; 1.5) | 0.744 | (0.033) | -0.006 | -2.00 | 0.00 | 1.48 | -0.02 | 0.023 |
| Sc 2: (-1; 1) | 0.748 | (0.016) | -0.002 | -1.01 | -0.01 | 1.00 | 0.00 | 0.005 | |
| Sc 3: (-0.25; 0.50) | 0.750 | (0.014) | 0.000 | -0.26 | -0.01 | 0.50 | 0.00 | 0.000 | |
| Sc 4: (0.55; 0.45) | 0.750 | (0.014) | 0.000 | 0.54 | -0.01 | 0.45 | 0.00 | 0.000 | |
| Sc 5: (0.7; 0.3) | 0.750 | (0.014) | 0.000 | 0.69 | -0.01 | 0.30 | 0.00 | 0.000 | |
Data are generated with an average number of mutations per cases ≈34, to correspond to the LCIS study.
Number of loci = 19,000; 1000 simulations per scenario.