From: Preprocessing of gene expression data by optimally robust estimators
increased variance | positive bias | least favorable | |||||
---|---|---|---|---|---|---|---|
| t 3 | Cauchy |
|
| D 3 | D 1000 | |
s = 0.01 | |||||||
Location. | |||||||
MLE | 1.787 | 1.022 | 42.929 | 1.119 | 2.297 | 1.110 | > 104 |
median | 1.526 | 1.499 | 1.505 | 1.537 | 1.537 | 1.537 | 1.537 |
Illumina | 1.093 | 1.080 | 1.086 | 1.138 | 1.083 | 1.177 | 1.083 |
rmx | 1.095 | 1.084 | 1.088 | 1.119 | 1.091 | 1.124 | 1.086 |
Location and scale: | |||||||
MLE | 12.482 | 1.699 | 1243.738 | 1.801 | 13.366 | 1.704 | > 105 |
median & MAD | 2.869 | 2.818 | 2.828 | 2.882 | 2.885 | 2.885 | 2.885 |
Illumina | 1.806 | 1.786 | 1.796 | 1.901 | 1.780 | 1.994 | 1.780 |
rmx | 1.755 | 1.689 | 1.705 | 1.764 | 1.779 | 1.778 | 1.779 |
s = 0.02 | |||||||
Location: | |||||||
MLE | 2.563 | 1.040 | 756.039 | 1.282 | 4.132 | 1.264 | > 104 |
median | 1.553 | 1.500 | 1.510 | 1.583 | 1.584 | 1.584 | 1.584 |
Illumina | 1.110 | 1.083 | 1.091 | 1.214 | 1.087 | 1.310 | 1.087 |
rmx | 1.107 | 1.085 | 1.091 | 1.170 | 1.099 | 1.185 | 1.089 |
Location and scale: | |||||||
MLE | 23.974 | 1.880 | 22605.549 | 2.190 | 26.926 | 1.995 | > 105 |
median & MAD | 2.934 | 2.824 | 2.842 | 2.970 | 2.977 | 2.977 | 2.977 |
Illumina | 1.838 | 1.794 | 1.810 | 2.056 | 1.780 | 2.276 | 1.780 |
rmx | 1.862 | 1.695 | 1.724 | 1.886 | 1.941 | 1.930 | 1.941 |
s = 0.04 | |||||||
Location: | |||||||
MLE | 4.150 | 1.080 | > 104 | 1.768 | 9.587 | 1.732 | > 104 |
median | 1.611 | 1.502 | 1.524 | 1.717 | 1.720 | 1.720 | 1.720 |
Illumina | 1.149 | 1.096 | 1.111 | 1.458 | 1.102 | 1.716 | 1.102 |
rmx | 1.139 | 1.091 | 1.102 | 1.343 | 1.137 | 1.413 | 1.099 |
Location and scale: | |||||||
MLE | 49.559 | 2.221 | > 105 | 3.285 | 59.046 | 2.879 | > 106 |
median & MAD | 3.090 | 2.833 | 2.876 | 3.232 | 3.256 | 3.256 | 3.256 |
Illumina | 1.923 | 1.816 | 1.848 | 2.534 | 1.787 | 3.091 | 1.787 |
rmx | 2.236 | 1.710 | 1.781 | 2.311 | 2.591 | 2.485 | 2.598 |