From: The effects of class rarity on the evaluation of supervised healthcare fraud detection models

Part B | Part D | DMEPOS | Combined | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

Pos count | Ratio | AUC | Group | Pos count | Ratio | AUC | Group | Pos count | Ratio | AUC | Group | Pos count | Ratio | AUC | Group |

(a) Train_Test | |||||||||||||||

All | LR | 0.82521 | a | All | LR | 0.79411 | a | All | GBT | 0.78241 | a | All | LR | 0.84996 | a |

1000 | LR | 0.82227 | a | 400 | LR | 0.77763 | a | All | RF | 0.78182 | a | 200 | LR | 0.80979 | a |

400 | LR | 0.81501 | a | 200 | LR | 0.75399 | a | 400 | GBT | 0.76752 | a | 100 | LR | 0.75512 | a |

200 | LR | 0.79216 | a | 100 | LR | 0.71832 | a | 400 | LR | 0.76307 | a | All | GBT | 0.83355 | b |

All | GBT | 0.80481 | b | All | GBT | 0.76307 | b | 400 | RF | 0.76160 | a | 200 | GBT | 0.78286 | b |

1000 | GBT | 0.80152 | b | 400 | GBT | 0.73238 | b | 200 | LR | 0.73798 | a | 100 | GBT | 0.73082 | b |

400 | GBT | 0.78540 | b | 200 | GBT | 0.69234 | b | 100 | LR | 0.71709 | a | 100 | RF | 0.71527 | b |

200 | GBT | 0.76252 | b | 200 | RF | 0.68840 | b | 200 | RF | 0.73094 | ab | All | RF | 0.81608 | c |

All | RF | 0.77776 | c | 100 | RF | 0.66739 | b | All | LR | 0.77132 | b | 200 | RF | 0.76825 | c |

1000 | RF | 0.77407 | c | 100 | GBT | 0.66406 | b | 200 | GBT | 0.72607 | b | – | – | – | – |

400 | RF | 0.76327 | c | All | RF | 0.74568 | c | 100 | GBT | 0.69519 | b | – | – | – | – |

200 | RF | 0.74408 | c | 400 | RF | 0.71116 | c | 100 | RF | 0.69174 | b | – | – | – | – |

(b) Train_CV | |||||||||||||||

All | RF | 0.81760 | a | All | LR | 0.78270 | a | All | LR | 0.73666 | a | All | LR | 0.81233 | a |

1000 | LR | 0.81068 | a | 400 | LR | 0.76768 | a | 400 | LR | 0.72964 | a | All | RF | 0.80893 | a |

400 | LR | 0.79119 | a | 200 | LR | 0.73768 | a | 200 | LR | 0.68823 | a | 200 | LR | 0.77946 | a |

200 | LR | 0.76530 | a | 100 | LR | 0.70019 | a | 100 | LR | 0.66918 | a | 100 | RF | 0.71356 | a |

All | LR | 0.81424 | b | All | GBT | 0.75729 | b | All | GBT | 0.72763 | b | 100 | LR | 0.70868 | a |

1000 | RF | 0.80668 | b | 400 | GBT | 0.73009 | b | All | RF | 0.72404 | b | 100 | GBT | 0.70509 | a |

1000 | GBT | 0.80495 | b | 200 | GBT | 0.68435 | b | 400 | GBT | 0.71176 | b | All | GBT | 0.79702 | b |

400 | GBT | 0.78070 | b | 200 | RF | 0.68094 | b | 400 | RF | 0.70983 | b | 200 | RF | 0.76253 | b |

200 | RF | 0.74957 | b | 100 | RF | 0.65973 | b | 200 | RF | 0.66659 | b | 200 | GBT | 0.75880 | b |

200 | GBT | 0.74753 | b | 100 | GBT | 0.65659 | b | 200 | GBT | 0.66642 | b | – | – | – | – |

All | GBT | 0.80981 | c | All | RF | 0.74213 | c | 100 | GBT | 0.64334 | b | – | – | – | - |

400 | RF | 0.77444 | c | 400 | RF | 0.71214 | c | 100 | RF | 0.64295 | b | – | – | – | – |