Upload
others
View
2
Download
0
Embed Size (px)
Citation preview
ŎŬŤŰĶŀĿŪūĺĺĶŀľĿŀ�C:agÖQV2VĖĢbÅģ�
¸�QVQVģ¾GÒVÎÕĖ�
ÉÍżį��
�ĴŕœʼnZĴƞ£ö�
ËżÊȁ �·_äĘƞēƀƅ�ǁǫǐǥdžǐ�?ƞ¡$Ɯ�ƂƯpĭƲŕœʼnú�ƘƨƯǷ�
�ŶǏƶDžNJǧƘƟ·_äĘƞ-²ƅ;ìǮ�
Ăż�ȁ �äĘǹ�ƙĿĽŀ�ƞǺƖƞ�p��Ƙ�pƋưƒ�ǁǫǐǥdžǐ�?DZQ Dz�ƙ�?ƲEƥƛƀĨĬ�DZ@�p��ƜƖƀƗǵ�?ſƮǺǸ�ǵ�?ƛƌǺǸ�ǵAûŅľ�Dz�
āżYȁ �đãÏ�m¯�
ø]èȁ �7-è!H�
āYZĴ�
ø]Ă��
ƊƊƘŕœʼnZĴ¿džǥƷǑƜŴ&Ʈ�ƂƥƎǷ�
āYdžǁƵû³�
43 2
2
42
22
41
8
17
36
44
48
6
āYdžǁƵ%ij�
43
39
11
17
45
18
47
9
13
21
43
ƼǎǂǦ%ij�
45 47 26 11 36 49 30 23 17 46 33 7 41 45 19 41 45 26 31 48
5 7 16 18 31 4 42 12 25 6 14 11 18 10 22 6 5 17 21 8
œŨşũśūŢŦšĶŔŧŢŦūûÙ�
45 47
26 11
36 49
30
23 17
46 33 7 41
45 19
41
45
26
31
48
5
7 16
18 31
4 42 12
25 6 14
11 18 10
22 6 5
17
21
8
45 47 26 11 36 49 30 23 17 46 33 7 41 45 19 41 45 26 31 48
5 7 16 18 31 4 42 12 25 6 14 11 18 10 22 6 5 17 21 8
7 1
7 1
3 5
2 6
1 7
7 1
14 2
17 7
19 13
20 20
0.35 0.05
0.7 0.1
0.85 0.35
0.95 0.65
1.0 1.0
45 47
26 11
36 49
30
23 17
46 33 7 41
45 19
41
45
26
31
48
5
7 16
18 31
4 42 12
25 6 14
11 18 10
22 6 5
17
21
8
45 47 26 11 36 49 30 23 17 46 33 7 41 45 19 41 45 26 31 48
5 7 16 18 31 4 42 12 25 6 14 11 18 10 22 6 5 17 21 8
ŔŤŧūĶŕœʼnĶʼnŬũŭşŪ�
7 1
7 1
3 5
2 6
1 7
7 1
14 2
17 7
19 13
20 20
0.35 0.05
0.7 0.1
0.85 0.35
0.95 0.65
1.0 1.0
45 47
26 11
36 49
30
23 17
46 33 7 41
45 19
41
45
26
31
48
5
7 16
18 31
4 42 12
25 6 14
11 18 10
22 6 5
17
21
8
45 47 26 11 36 49 30 23 17 46 33 7 41 45 19 41 45 26 31 48
5 7 16 18 31 4 42 12 25 6 14 11 18 10 22 6 5 17 21 8
ŕœʼn�ä�ƞīÔƞûÙ�¯DZ<oĎ�¯Dz�
7 1
7 1
3 5
2 6
1 7
7 1
14 2
17 7
19 13
20 20
0.35 0.05
0.7 0.1
0.85 0.35
0.95 0.65
1.0 1.0
ŷ
Ÿ
Ź�ź�
Ż�
( ) ( )∑=
−− #$
%&'
( −×+=
5
1
11
2i
iiii FPFFPFTPFTPFAUC
ŎŬŤŰĶŀĿŪūĺĺĶŀľĿŀ�C:agÖQV2VĖĢbÅģ�
¸�QVQVģ¾GÒVÎÕĖ�
ÉÍżį��
ÿ�ƜƃƉƯ(�L´�
ÃjſƮ�Ãjƛƌ� ĆpDZÿ�Dz�
ªjƘſƯżŵż(�L´żŶżÃjƘſƯ�
0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100
ıżm�
(�L´� Ãj�ªj�
õ�ƞÆ�Ɯ^ƎƯ(�L´ƞ%h�
Ãjƛƌ�ƞÆ��
ÃjſƮ�ƞÆ��
(�L´ƞ%hƙ�ª÷%hƞ�Y�
ªj� Ãj�(�L´�
ım�
ªjƛÆ�Ɯ^ƎƯ�(�L´ƞ%h�
ªjƛÆ�Ɯ^ƎƯ�(�L´ƞª÷%h�
ÃjƛÆ�Ɯ^ƎƯ�(�L´ƞ%h�
ÃjƛÆ�Ɯ^ƎƯ�(�L´ƞª÷%h�
1.0
0.5
0.0 1.0 0.5 0.0
“ÃjųƲªƌƈŲÃjųƙ(�ƌƒ+A�
“ªjųƲĞēƕƗŲÃjųƙ(�ƌƒ+A�
�ª÷%hƙROC�ä�
False Positive Fraction
True
Pos
itive
Fra
ctio
n
ªj� Ãj�(�L´�
ım�
�ª÷%h�
ROC�äƞ�Y�
Freq
uenc
y
Confidence Level
1)ż(�L´ƞ%hǏǭNJƞ9r�
2)ż�ª÷%hƞ�Y�
Prob
abili
ty
Function of Confidence Level
3)żROC�äƞ�Y�
True
Pos
itive
Fra
ctio
n
False Positive Fraction
1.0
0.5
0.0 1.0 0.5 0.0
ŕœʼnŏōŗƜƬƯŕœʼnƼǭǙǘƶnjǎƶǫƿDZǹDz�
�ª÷%hƙ�ª÷ǖǥǢǭNJa�b�
Ĥv� Ħv�ƌƆƀ��
Æ�ƞım� σn
σs
mn ms
FP(x|n)
TP(x|s)
)( nss
ns mmmma ≥−
=σ
s
nbσσ
=
2
22ns
npdaσσ
µµ
+
+=
( )[ ]aFPFbTPF +Φ×Φ= −1
!"
#$%
&Φ= −
21 daAUC
ŕœʼnŏōŗƜƬƯŕœʼnƼǭǙǘƶnjǎƶǫƿDZǺDzż ,ǘƴƷǧ�
ǹñËżŖūŬŞŰĶŒśťşDZZĴ"\×Dz�
ŀñËżŏōŗDZŕœʼnŏōŗ¿ǘƴƷǧƙƀƁxFDz�
ŁñËżŲĶĶĶĶŲżƘJƳƓǣNjǦǎƶC�
łñËżʼnŐŐDZđãÏ�m¯ǵĵƀ�ƅŔŧŪDz�
ŃñËȈ�ŒşšśūŢŭşƛĂ�ƞ�ƞ%ƓƉƞāYǏǭNJ�qƜdzDZƵdžNJǦdžƾDzƲ ƉƯǷ�
ŃǴŒşšśūŢŭşÆ��ǴǹñËȈ�ŔŧŪŢūŢŭşƛĂ�ƞ�ƞ%ƓƉƞāYǏǭNJ�qƜdzDZƵdžNJǦdžƾDzƲ ƉƯǷ�
Ĺ°ȁ ,ƟƎƣƗ3ùð�TǷdžǝǭdžƩ!ùƞdžǝǭdžƅſưƠƹǥǭƅ$Ɨ/�ƌƥƏƳǷ�
ŕœʼnŏōŗƜƬƯŕœʼnƼǭǙǘƶnjǎƶǫƿDZǻDzżljǘǐƞĊ/� ŕœʼnŏōŗƜƬƯŕœʼnƼǭǙǘƶnjǎƶǫƿDZǼDzżǘƴƷǧĕ~�
ŕœʼnŏōŗƜƬƯŕœʼnƼǭǙǘƶnjǎƶǫƿDZǽDzżǘƴƷǧþY�
ǹDz�*Ɯ¿xƌƒ ,ǘƴƷǧƲ�¿ƎƯƄȅżØƂȁY
ǺDz�ǘƴƷǧĕ~DZ*džǥƷǑ7·Dz�ǻDz�!ĖDZFDzƥƒƟǵöÝDZCDzƌƒ$,ǘƴƷǧƲ�zƎƯƄȅżØƂȁC
ǼDz�$,ǘƴƷǧCƲ�Y�ǽDz�ÁīóÐƟ!ĖDZFDzƄǵƥƒƟöÝƌƒƩƞDZCDzƄȅżØƂȁC
dzdzdzǚǩƿǥǡdžNJǭǐdzdzdz��ǾDz�DZƩƌǵ ,�ƅǺƖƞǣNjǦǎƶƜ^ƎƯāY�ƞMADzǺƖƞǣNjǦǎƶƜƖƀƗǵǹÂËǵǺÂËǵƥƒƟ��ƞú�ƅtöƄȅżØƂȁall
ǿDz�áûÊ�xf¡YƟ�ª÷ǖǥǢǭNJDZBivariateDzǵROC�ä�ƞīÔDZAreaDzǵƥƒƟſƯ¹YƞTPFǵƞƚưƲ^ĈƙƌƗñƁƄȅż��ØƂȁArea
ŕœʼnŏōŗƜƬƯŕœʼnƼǭǙǘƶnjǎƶǫƿDZǾDzż$,ǘƴƷǧǹ�
ŕœʼnŏōŗƜƬƯŕœʼnƼǭǙǘƶnjǎƶǫƿDZǿDzż$,ǘƴƷǧǺ�
�¿ƎƯƞƟ�ƜƊƞǏǭNJ�
ŕœʼnŏōŗƜƬƯŕœʼnƼǭǙǘƶnjǎƶǫƿDZȀDzż$,ǘƴƷǧǻ�
ǣNjǦǎƶĞƞáûÊ�xf¡Yƞà��
ŕœʼn�äƞóÐżƹƾLjǧǘƴƷǧżŔŤŧūŕœʼnŀľĿľżDZǹDz� ŕœʼn�äƞóÐżƹƾLjǧǘƴƷǧżŔŤŧūŕœʼnŀľĿľżDZǺDz�
ROCKITƞ$,ǏǭNJƄƭaǵbǵAUCƲ ,ƎƯ�
ǏǭNJƟǣNjǦǎƶ)ƜƐưƑưƞǪǭƾDŽǭǐƘ ,ƎƯ�
ŕœʼn�äƞóÐżƹƾLjǧǘƴƷǧżŔŤŧūŕœʼnŀľĿľżDZǻDz�ŎŬŤŰĶŀĿŪūĺĺĶŀľĿŀ�
C:agÖQV2VĖĢbÅģ�
cĠQV�éVĖ�
ÑdżQČ�
ŕœʼnĶř޺ٺũĶƲ¿ƀƒŴŕœʼnø]èZĴ�
ǹDzËÊ�
�ëĖ4ÞŚä�Ƙ¡$ƋưƒêàÚpƞïwvě)ƜƃƀƗǵǏƶDžNJǧÁ�DŽdžǎǡƞǔƷLJ¹vƅǵÿ�ìƞD�DZƥƒƟ.0DzƜpĭƲ8ƤƎƞƄȅ�
ǺDz�¢�
�§�êàÚpƞïwvě)�
ǻDz�?�
����_ä}òV�DZŎŖŕŗDz¦´Á�ǏǭNJǜǭdžƞªj�Ɯ§�àÚp�DZwvȁdžǗƽǤǥſƮǵïvȁdžǗƽǤǥƛƌDzƲ -Ƿ�
��dzdžǗƽǤǥDZspicularDzȁŲ"ƄƭOƢDƀƒęºƞĤpųƘǵwvíÇƞ¹sƞ�Ɩ�
�LjǠǒǭƘ�¿ƎƯŎŖŕŗĻŊňƞ�¥�
ȃƻǦDžǒǧǘƺǭǟnjǐȄ�
ǟǐǦƾdžǃƷLJȁŀľłŅűŀľłŅżƿǨƷdžǀǭǧȁĿŀŜŢūDZ#̵mľļľȈŁļŃƜ^uDzż�
ǗƾLjǧǃƷLJȁľļĿńŃťťżǛnjNjƛƌǵ¾Á�ǏǭNJǘƺǭǟnjǐDZňŢšĶŋŦŞŢśŦĸ�
ȃ�LjǠǒǭ¿ǘƺǭǟnjǐȄ�
ǟǐǦƾdžǃƷLJȁĿľŀłűĿľŀłżƿǨƷdžǀǭǧȁŅŜŢūDZ#̵mƟî/ć�±ƦDzż�
ǗƾLjǧǃƷLJȁľļŁŃľťťżňőŔÁ�ǘƺǭǟnjǐ�
ø]èZĴ¿Ă�� with Truth (Gold Standard) Á��
§�êàÚpDZïvȁdžǗƽǤǥƛƌDzƙŴǏƶDžNJǧǔƷLJ�
§�êàÚp�DZǏƶDžNJǧǔƷLJĵDz�
§�êàÚp�DZǏƶDžNJǧǔƷLJ�Dz�
ïvDZdžǗƽǤǥƛƌDzƙwvDZdžǗƽǤǥſƮDzƞ§�êàÚpDZêªj¤ĐƛƌDz�
§�êàÚp�DZdžǗƽǤǥƛƌDz�
§�êàÚp�DZdžǗƽǤǥſƮDz�
ïvDZdžǗƽǤǥƛƌDzƙwvDZdžǗƽǤǥſƮDzƞ§�êàÚpDZêªj¤ĐſƮDz�
§�êàÚp�DZdžǗƽǤǥſƮDz�
§�êàÚp�DZdžǗƽǤǥſƮDz�
§�êàÚpDZwvȁdžǗƽǤǥſƮDzƙŴǏƶDžNJǧǔƷLJ�
§�êàÚp�DZǏƶDžNJǧǔƷLJĵDz�
§�êàÚp�DZǏƶDžNJǧǔƷLJ�Dz�
ŕœʼnĶř޺ٺũĶƲ¿ƀƒŴŕœʼnø]èZĴƞ|į�
ROC Viewer ƞLjnjǎƶǫƿ�
ø]èZĴ�
ROCFITƜƬƯƼǭǙǘƶnjǎƶǫƿ�
DBM-MRMCƜƬƯáûÊ�xf¡Y�
ǏǭNJħû�
ǐǨǭǓǫƿ¿Ă�ƞĕ~�
àÚpƟâ^Ɯïv� àÚpƟâ^Ɯwv�
�ZĴƘ¿ƀƯÆ��
àÚpƞUKƞ�¶ƞ�(�ƅĩƌƀÆ��
¡$ƅĪjƜĩƌƀ� ¡$ƅĪjƜÛ4�
ǐǨǭǓǫƿƜ��ĔƛÆ��
ŕœʼnø]èZĴ¿ljǘǐƸƹƵŴDZŕœʼnĶř޺ٺũĶŭşũĶŃļľļľļŁĸ�
kzŀŀǬŀŁlmżVòSH�żVòć�ÎÕ¼�
Žø]èZĴ��Ǎǭǧƞĝȼž�
�ÉÍį�żDZ¸�QVDzǵÑdQČżDZcĠQVDzǵ�
�6ż«=żDZcĠQVDzǵġĖô�żDZDŽƼǂQVDz�
ËÊ�
ŕœʼnĽŐŕœʼnĽŌŕœʼnø]èZĴƞZĴûÁƃƬơø]èZĴƞĒñƜƃƉƯZĴèƃƬơø]èƞ|ĞƲ�²ƌǵƄƖǵĆƦ9ƮąfƪǠdžƲƛƈƎƒƨƞ�¯ƜƖƀƗ¡üƌǵƐưƭƲZ½ƎƯƒƨƞø]èZĴ¿ƞljǘǐƸƹƵƲĝÈƎƯǷ�
ŕœʼnĶř޺ٺũƞLjnjǎƶǫƿDZǹDzżZñǘƴƷǧƞM{�
ŕœʼnĶř޺ٺũƞLjnjǎƶǫƿDZǺDzż'�Áī� ŕœʼnĶř޺ٺũƞLjnjǎƶǫƿDZǻDzżZĴCƙø]èCƞ ,�
ŕœʼnĶř޺ٺũƞLjnjǎƶǫƿDZǼDzżĂ�Á�ǘƴƷǧƞĆƦčƦ� ŕœʼnĶř޺ٺũƞLjnjǎƶǫƿDZǽDzżÁīóÐǁǢǫǐƞ ,�
ŕœʼnĶř޺ٺũƞLjnjǎƶǫƿDZǾDzżóÐǬ¨ìƞþY� ŕœʼnĶř޺ٺũƞLjnjǎƶǫƿDZǿDzżŕśūŢŦšǕǭóÐƞþY�
ŕœʼnĶř޺ٺũƞLjnjǎƶǫƿDZȀDzżNjƷƵǩƿƞþY� ŕœʼnĶř޺ٺũƞLjnjǎƶǫƿDZȀDzżZĴĝR�
ƊưƘ´�XƘƎǷZĴĝRǞNJǫƲ�ƌƗø]èZĴƲĝRƌƥƎǷ�
ŕœʼnĶř޺ٺũƜƬƯø]èZĴDZǹDzżǐǨǭǓǫƿ�
Ų©ƢųǞNJǫƟǵāYƲƌƛƀƙƵƾǎƶǙƜƛƮƥƏƳ�
ŕœʼnĶř޺ٺũƜƬƯø]èZĴDZǺDzżāY�¯�
ǟƸdžƲ�ƕƗƀƈƙǕǭƅe>ƜÓ/ƌƥƎǷÏ�mƜuƍƗ�æƲ®YƌƾǦnjƾƎƯƙǕǭƅĉƜNƱƮƥƎ�
ŕœʼnĶř޺ٺũƜƬƯø]èZĴDZǼDzż�ZĴĝR�
ǐǨǭǓǫƿƅßƱƯƙBx�ƅóÐƋưƥƎƞƘǵ"\ƲĆƳƘǵŲBxƌƥƎųƞǞNJǫƲ�ƌƗZĴƲĝRƌƥƎǷ�
ŕœʼnĶř޺ٺũƜƬƯø]èZĴDZǽDzż�ZĴ�
ǐǨǭǓǫƿƘñƕƒƞƙBƍ�¯ƘƎƣƗƞĂ�ƜƖƀƗāYƲñƀƥƎǷ�
ŕœʼnĶř޺ٺũƜƬƯø]èZĴDZǾDzż�ZĴß�
�ZĴƅßƱƯƙBx�ƅóÐƋưƥƎƞƘǵŲà�ƲóÐƎƯųƞǞNJǫƲ�ƌƗZĴƲßƌƥƎǷ�
ŕœʼnĶř޺ٺũƜƬƯø]èZĴDZǿDzżà�óÐ�
ŕœʼn�ä�YƵǧǂǦLJǡƛƌƞ¾ǏǭNJƜƬƯŕœʼn�äƅóÐƋưƥƎƞƘǵŲĜƍƯųƲ�ƌƗljǘǐƲßƌƥƎǷ�
ŕœʼnĶř޺ٺũƞ$,ǘƴƷǧĶżżŴŕœʼnŏōŗ¿ǏǭNJ�
1ñËȁ�NJƷǐǧǵø]èCǵDŽdžǎǡDZÜáDzC�2ñËȁ�KITżŵROCKIT¿ ,ǘƴƷǧƜtö�3ñËȁ�ǣNjǦǎƶCDZŲųƘJƧƊƙƅtİDz�4ñËȁ�CLLDZđãÏ�m¯DZC)Ƙ�ƅQƆƀ�
ƅPositive DZLDzƙƀƁxF�
5ñËȈ28ñËȁ ���Negative�Ɯ�ƂƭưƒāY��
29ñËȁƵdžNJǦdžƾżDZĹĹĹĹĹĹĹĹDz�
30ñËȈ65ñËȁ���Positive�Ɯ�ƂƭưƒāY��
66ñËȁƵdžNJǦdžƾżDZĹĹĹĹĹĹĹĹDz�
ŕœʼnĶř޺ٺũƞ$,ǘƴƷǧ�
ŕœʼnĶř޺ٺũƘƞø]èZĴqƜ�zƋưƯǘƴƷǧƟȂ�
ǹDz ,Á�ǘƴƷǧƜāYǏǭNJƲ -ƌƒŝŪŭǘƴƷǧ�
\Table\YYYYMMDDHHMM_DZZĴNJƷǐǧDz_DZø]èCDz_Table.csv ǺDzŕœʼnŏōŗ ,ǘƴƷǧ¿ƞūşůūǘƴƷǧ�
\RocKit\YYYYMMDDHHMM _ DZZĴNJƷǐǧDz_DZø]èCDzĶ_Rockit.txt�ǻDzø]�Ğ×ƲýĚƌƒZĴǩƿƞǎƽdžǐǘƴƷǧ�
\Log\YYYYMMDDHHMM _ DZZĴNJƷǐǧDz_DZø]èCDzĶ_log.txt �
ŕœʼnĶř޺ٺũƞ$,ǘƴƷǧĶżżŗśŜŤşǏǭNJ�
ŎŬŤŰĶŀĿŪūĺĺĶŀľĿŀ�C:agÖQV2VĖĢbÅģ�
¸�QV¾GÒVÎÕĖ�
ÉÍżį��
ŕœʼn�äĞƞáûÊ�xf¡Y�
ŕœʼn�äĞƞfƟǵáûÊƛ¡YƲñƱƛƉưƠxFƅƛƀǷ�
ŕœʼn�äĞƞfƞ¡Y¯ȁ�
�ŇŘʼnĞƞŖūŬŞşŦūĶū¡Y�
�ſƯ¹YƞŌŔŌ�ƜƃƉƯŗŔŌ�ƞfƞ¡Y�
��ª÷ǖǥǢǭNJśƙŜƞfƞ¡Y�
�ø]èĞƃƬơø]Ă�ĞƞN/Ʋçyƌƒ¡Y�
�ŶżőŬŤūŢĻŕşśŞşũĶőŬŤūŢĻʼnśŪş¯żDZŎśŝţţŦŢŠş¯Dz�
False Positive Fraction
True
Pos
itive
Fra
ctio
n
0.0 0.0
1.0 0.5
0.5
1.0
False Positive Fraction
True
Pos
itive
Fra
ctio
n
0.0 0.0
1.0 0.5
0.5
1.0 0.820 0.750
0.810 0.740
0.840 0.800
0.760 0.750
0.790 0.780
0.804 0.764
żp= 0.041
0.830 0.900
0.700 0.650
0.900 0.710
0.850 0.740
0.950 0.830
0.846 0.766
żp= 0.140
ŕœʼn�äĞƞfƞ¡YƙŴø]Ă�ƞĩ�mƙƞğ��
False Positive Fraction
True
Pos
itive
Fra
ctio
n
0.0 0.0
1.0 0.5
0.5
1.0
False Positive Fraction
True
Pos
itive
Fra
ctio
n
0.0 0.0
1.0 0.5
0.5
1.0
False Positive Fraction
True
Pos
itive
Fra
ctio
n
0.0 0.0
1.0 0.5
0.5
1.0
Ă�ƞĩ�mƅĵƎƇƯDZ¡$ƅĩƌƎƇƯDzƙǵƚƔƭƩAUCƅ`Ƌƈǵ�èƞfƅ`ƋƈƛƕƗáûÊ�xfƲĀ�ƎƯƊƙƅIĩƘſƯǷ�
Ă�ƞĩ�mƅ�ƎƇƯDZ¡$ƅ�ƌƎƇƯDzƙǵƚƔƭƩAUCƅQƆƈǵ�èƞfƅ`ƋƈƛƕƗáûÊ�xfƲĀ�ƎƯƊƙƅIĩƘſƯǷ�
Ă�ƞĩ�mƅĔnDZĩƌƀƅ�ƙƄ¡$;ìDzƓƙǵAUCƅ0.70Ȉ0.85ƙƛƮǵ�èƞfƅ¬ċÊQƆƈƛƕƗǵáûÊ�xfƲĀ�ƌƪƎƈƛƯǷ�
��ŨśŢũşŞĻȇ¡YƜƬƯŴŇŘʼnĞƞáûÊ�xf¡Y�
ø]è A B ΔAUC
ǹ 0.830 0.900 -0.070
2 0.700 0.650 0.050
3 0.900 0.710 0.190
4 0.850 0.740 0.110
5 0.950 0.830 0.120
Ave. 0.846 0.766 0.08
1
)(1
2
−
Δ−Δ=∑=
Δ r
AUCAUCSd
r
kk
AUC
835.1=Δ=
Δ
rSdAUCtAUC
t%hƘîÀmDZȆǶǹDzƞp=0.05ƞ�ƬƮƩtƅ`ƋƉưƠǵ5ĥ»5%ƘáûÊ�xfƅſƯǷ�
ņŃķ�IJ1ĞƜƬƯŴŇŘʼnĞƞáûÊ�xf¡Y�
AUCrdf
AUCrdf
r
kk
AUC
SdtAUCUB
SdtAUCLB
rr
AUCAUCSd
Δ−=
Δ−=
=Δ
•+Δ=
•−Δ=
−
Δ−Δ=∑
975.0;1
975.0;1
1
2
)1(
)(ø]è A B ΔAUC
ǹ 0.830 0.900 -0.070
2 0.700 0.650 0.050
3 0.900 0.710 0.190
4 0.850 0.740 0.110
5 0.950 0.830 0.120
Ave. 0.846 0.766 0.08
95% C.I.= (-0.041, 0.201)
ŕœʼn�äĞƞáûÊ�xf¡Yżőŕőʼn¯�
ŎśŝţţŦŢŠş¯Ʋ¿ƀƒőŬŤūŢĻŕşśŞşũĶőŬŤūŢĻʼnśŪşƞ%�%�DZŇŒœřŇDzƜƬƯáûÊ�xf¡Y�
!!!!!!
"
#
$$$$$$
%
&
•
••••
••••
•
•
!!!!!!
"
#
$$$$$$
%
&
•
••••
••••
•
•
2rc2r22r1
22c222221
21c212211
1rc1r21r1
12c122121
11c112111
XXX
XXXXXX
XXX
XXXXXX
)()1(ˆkijijijk AcAcY −−=
!!!!!!
"
#
$$$$$$
%
&
•
••••
••••
•
•
!!!!!!
"
#
$$$$$$
%
&
•
••••
••••
•
•
2rc2r22r1
22c222221
21c212211
1rc1r21r1
12c122121
11c112111
YYY
YYYYYY
YYY
YYYYYY
ǣNjǦǎƶ(t)×ø]è(r)×ø]Ă�(c)ƞāY�DZXtrcDzƞǏǭNJǟǐǦƾdž�
ǣNjǦǎƶ(t)×ø]è(r)×ø]Ă�(c)ƞÄ��DZYtrcDzƞǏǭNJǟǐǦƾdž�
ijA)(kijA
Ä��DZPseudo valueDzƞûÙ�
ȁŝ�ƞĂ�ƘûÙƌƒŇŘʼn�
ȁDZŝĻĿDz�ƞĂ�ƘûÙƌƒŇŘʼn�
ÉÍį�, Wė[ſƄƝ: ROCú�ƜƃƉƯÁ�DŽdžǎǡĞƞáûÊ�xfƞ¡Y�¯ǶJackknife¯ƙƐƞĔuǶ. ���_ä}òV�ă, 53(6), 691-698, (1997).
ŊňőĻőŕőʼnƞ ,ǘƴƷǧ�
1ñËȁ �NJƷǐǧ�2ñËȁ �Reader1 3ñËȁ �ǣNjǦǎƶCDZŲųƘJƧDz�4ñËȁ �Lȁ�ƅQƆƀ�ƅ
Positive
Readerƞ�ƓƉǵNegative CaseƞāY�ǵdzǵPositive CaseƞāY�ǵdzǵReaderǯǵƲåƮďƎǷ�
ǏǭNJƞ�qƟŲǯųƲ ,��qƜǏǭNJ!ĖƲĕƳƘǵǢǣi×ƜǁǗǭǝǭdžǐƌƗǵǎƽdžǐǘƴƷǧƘ�UƎƯ�
ŊňőĻőŕőʼnƜƬƯŕœʼn�äĞƞáûÊ�xf¡YDZǹDz�
ŊňőĻőŕőʼnƜƬƯŕœʼn�äĞƞáûÊ�xf¡YDZǺDz� ŊňőĻőŕőʼnƜƬƯŕœʼn�äĞƞáûÊ�xf¡YDZǻDz�
ƊưƅZñǘƴƷǧ�
Ċ/Áī�
ŊňőĻőŕőʼnƜƬƯŕœʼn�äĞƞáûÊ�xf¡YDZǼDz� ŊňőĻőŕőʼnƜƬƯŕœʼn�äĞƞáûÊ�xf¡YDZǽDz�
ŊňőĻőŕőʼnƜƬƯŕœʼn�äĞƞáûÊ�xf¡YDZǾDz� ŊňőĻőŕőʼnƜƬƯŕœʼn�äĞƞáûÊ�xf¡YDZǿDz�
ŊňőĻőŕőʼnƞ$,ǘƴƷǧżŇŒœřŇǘƴƷǧDZǹDz� ŊňőĻőŕőʼnƞ$,ǘƴƷǧżŇŒœřŇǘƴƷǧDZǺDz�
ŊňőĻőŕőʼnƞ$,ǘƴƷǧżŇŒœřŇǘƴƷǧDZǻDz� ŊňőĻőŕőʼnƞ$,ǘƴƷǧżŇŒœřŇǘƴƷǧDZǼDz�
p�<0.05
95ǰ�IJ1Ğ�
ŊňőĻőŕőʼnƞ$,ǘƴƷǧżŔŧŧŤǏǭNJ� ŔŕœŔŕœʼnƜƬƯƼǭǙǘƶnjǎƶǫƿDZǹDz�
True
Pos
itive
Fra
ctio
n
False Positive Fraction
1.0
0.5
0.0 1.0 0.5 0.0
Prob
abili
ty
Function of Confidence Level
ROC�äƜ�ǘnjƾƅ¾ƍƯ�
ŔŕœŔŕœʼnƜƬƯƼǭǙǘƶnjǎƶǫƿDZǺDz�
�ª÷ǖǥǢǭNJaǵbƙŔũŧŨŕœʼnƞ�ƌƀǖǥǢǭNJcǵda
!"#
$%&
−()
*+,
- +++−Φ+
()
*+,
- +++−Φ=
!"#
$%&
−()
*+,
- ++−−Φ+
()
*+,
- +−−−Φ=
+
−≡
+≡
)(12
)1(
12
)1()(
)(12
)1(
12
)1()(
11
12
2
2
2
2
2
cHccdavc
cdavcvTPF
cHccdavc
cdavcvFPF
bbc
bada
Pan X, Metz CE: The “proper” binormal model: Parametric receiver operating characteristic curve estimation with degenerate data. Acad Radiol 2005; 12:1293-1300
ŔŕœŔŕœʼnƜƬƯƼǭǙǘƶnjǎƶǫƿDZǻDzżŔŤŧūŔũŧŨŕœʼnDZǹDz�
ŔŕœŔŕœʼnƜƬƯƼǭǙǘƶnjǎƶǫƿDZǼDzżŔŤŧūŔũŧŨŕœʼnDZǺDz�
DBM-MRMCƞ$,ǏǭNJƲƊƊƜ ,�
ŔŕœŔŕœʼnƜƬƯƼǭǙǘƶnjǎƶǫƿDZǽDzżŔŤŧūŔũŧŨŕœʼnDZǻDz�
ŕœʼnú�à�ƞ¡üĮËżŴDZƦƳƛƘçƂƗƦƥƌƫƁǮDz�
ǹDz�ǔƷLJſƮƙǔƷLJƛƌƜƃƉƯïwvě)ƞŕœʼn�äĞƜƟáûÊ�xfƅĄƨƭưƒƄȅ�
ǺDz�ŇƿǧǭǚƙňƿǧǭǚƘà�ƜēƀƅſƕƒƄȅ�
ǻDz�ŇƿǧǭǚƙňƿǧǭǚƘø]èĞƞN/ƜēƀƅſƕƒƄȅ�
ǽDz�ƩƕƙƩǠdžƞPƄƕƒÆ�ƟƚưƄȅ�
ǾDz�ƩƕƙƩǔƷLJƅwpĭƲ8ƤƌƒÆ�ƟƚưƄȅ�
ǿDz�Ă�ƞĩ�mƙǔƷLJƞpĭƜƟğ�ƅſƕƒƄȅ�
ȀDz�ø]è�ƟáûÊ�xf¡Yƞà�ƜpĭƌƒƄȅ�