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Table 10 Tukey’s HSD: learner

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