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Table 11 Tukey’s HSD: ratio

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 [10:90] 0.80998 a All [10:90] 0.78501 a All [10:90] 0.78675 a All [10:90] 0.84661 a
All [25:75] 0.80945 a 400 [10:90] 0.75851 a 400 [1:99] 0.77359 a 200 [1:99] 0.81010 a
1000 [10:90] 0.80927 a 200 [10:90] 0.72831 a 400 [10:90] 0.77152 a 100 [1:99] 0.76000 a
All [35:65] 0.80777 a 200 [1:99] 0.72403 a 400 [All:all] 0.77021 a 100 [10:90] 0.75085 a
400 [10:90] 0.79846 a 100 [10:90] 0.70322 a 400 [25:75] 0.76203 a All [1:99] 0.84512 ab
200 [10:90] 0.78454 a 400 [25:75] 0.75088 ab 400 [35:65] 0.76083 a 200 [10:90] 0.80394 ab
1000 [25:75] 0.80416 ab 200 [25:75] 0.72089 ab 200 [1:99] 0.74776 a 100 [25:75] 0.73603 ab
400 [25:75] 0.79332 ab 100 [1:99] 0.69788 ab 200 [10:90] 0.74532 a 100 [All:all] 0.73240 abc
400 [1:99] 0.79105 ab 100 [25:75] 0.68656 abc 200 [All:all] 0.74494 a All [All:all] 0.83554 bc
200 [1:99] 0.77736 ab All [25:75] 0.77651 b 200 [25:75] 0.73703 a 200 [All:all] 0.78787 bc
All [50:50] 0.80290 b All [35:65] 0.77168 b 100 [1:99] 0.71795 a 100 [35:65] 0.71594 bc
1000 [35:65] 0.80145 bc 400 [1:99] 0.74272 b 100 [10:90] 0.71655 a All [25:75] 0.83167 c
400 [35:65] 0.78776 bc 400 [35:65] 0.74009 b 100 [All:all] 0.71162 a All [35:65] 0.82591 c
200 [25:75] 0.76937 bc 200 [35:65] 0.70677 bc All [1:99] 0.78608 ab 200 [25:75] 0.78622 c
All [1:99] 0.79715 c 100 [All:all] 0.67992 bc 100 [25:75] 0.70045 ab 200 [35:65] 0.77587 c
200 [All:all] 0.76255 c All [1:99] 0.76392 c All [25:75] 0.78179 abc 100 [50:50] 0.70722 c
200 [35:65] 0.75844 c All [50:50] 0.76248 c 400 [50:50] 0.74619 b All [50:50] 0.81434 d
1000 [1:99] 0.79823 cd 400 [50:50] 0.72678 c 200 [35:65] 0.71374 b 200 [50:50] 0.75780 d
400 [All:all] 0.77886 cd 400 [All:all] 0.72336 c 200 [50:50] 0.70118 b
1000 [50:50] 0.79504 d 200 [All:all] 0.70054 cd all [All:all] 0.77825 bc
All [All:all] 0.78832 d 100 [35:65] 0.67357 cd 100 [35:65] 0.68687 bc
400 [50:50] 0.77793 d All [All:all] 0.74612 d All [35:65] 0.77490 c
200 [50:50] 0.74526 d 200 [50:50] 0.68893 d 100 [50:50] 0.67462 c
1000 [All:all] 0.78758 e 100 [50:50] 0.65839 d All [50:50] 0.76333 d
(b) Train_CV
All [10:90] 0.82319 a All [10:90] 0.77090 a All [10:90] 0.73988 a All [10:90] 0.82112 a
1000 [10:90] 0.81748 a All [25:75] 0.76972 a 400 [10:90] 0.72602 a 200 [1:99] 0.78428 a
400 [10:90] 0.79391 a 400 [10:90] 0.75133 a 200 [10:90] 0.68450 a 100 [1:99] 0.73084 a
400 [25:75] 0.79186 a 400 [1:99] 0.74374 a 200 [1:99] 0.68391 a 200 [10:90] 0.78131 ab
200 [10:90] 0.76815 a 200 [10:90] 0.71388 a 100 [1:99] 0.66837 a 100 [10:90] 0.72700 ab
200 [1:99] 0.76623 a 200 [1:99] 0.71341 a 100 [10:90] 0.66221 a All [1:99] 0.81300 b
All [25:75] 0.82113 ab 100 [1:99] 0.69233 a 100 [All:all] 0.65738 a All [25:75] 0.81154 b
1000 [25:75] 0.81538 ab 100 [10:90] 0.68280 a 400 [1:99] 0.72322 ab 200 [25:75] 0.77045 bc
400 [1:99] 0.78671 ab 100 [25:75] 0.67886 a 400 [25:75] 0.72010 ab 100 [All:all] 0.70978 bc
200 [25:75] 0.75931 ab 100 [All:all] 0.67779 a 400 [All:all] 0.71707 ab 100 [25:75] 0.70695 bc
All [35:65] 0.81799 b 400 [25:75] 0.74283 ab 200 [All:all] 0.67961 ab All [35:65] 0.80248 c
400 [35:65] 0.78149 b 200 [25:75] 0.70243 ab 200 [25:75] 0.67483 ab All [All:all] 0.79995 c
200 [35:65] 0.74914 b All [35:65] 0.76372 b 100 [25:75] 0.65625 ab 200 [35:65] 0.76136 c
200 [All:all] 0.74885 b All [1:99] 0.75973 b All [25:75] 0.73331 b 200 [All:all] 0.75921 c
1000 [35:65] 0.81078 bc 200 [All:all] 0.69948 b All [1:99] 0.73307 b 100 [35:65] 0.69683 cd
All [50:50] 0.81137 c 100 [35:65] 0.65408 b 400 [35:65] 0.71446 b All [50:50] 0.78849 d
All [1:99] 0.81066 c 100 [50:50] 0.64716 b 200 [35:65] 0.66684 b 200 [50:50] 0.74497 d
400 [All:all] 0.77018 c 400 [35:65] 0.73359 bc 100 [35:65] 0.63598 bc 100 [50:50] 0.68324 d
400 [50:50] 0.76851 c 200 [35:65] 0.69507 bc All [35:65] 0.72656 c
200 [50:50] 0.73313 c All [50:50] 0.75384 c All [all:all] 0.72649 c
1000 [1:99] 0.80692 cd 200 [50:50] 0.68167 c 400 [50:50] 0.70160 c
1000 [50:50] 0.80325 d 400 [All:all] 0.72706 cd 200 [50:50] 0.65281 c
all [All:all] 0.79896 d All [All:all] 0.74634 d 100 [50:50] 0.63076 c
1000 [All:all] 0.79083 e 400 [50:50] 0.72126 d All [50:50] 0.71734 d