{"id":1642,"date":"2023-07-25T13:22:41","date_gmt":"2023-07-25T13:22:41","guid":{"rendered":"https:\/\/statorials.org\/my\/rand-%e1%80%a1%e1%80%8a%e1%80%bd%e1%80%be%e1%80%94%e1%80%ba%e1%80%b8%e1%80%80%e1%80%ad%e1%80%94%e1%80%ba%e1%80%b8\/"},"modified":"2023-07-25T13:22:41","modified_gmt":"2023-07-25T13:22:41","slug":"rand-%e1%80%a1%e1%80%8a%e1%80%bd%e1%80%be%e1%80%94%e1%80%ba%e1%80%b8%e1%80%80%e1%80%ad%e1%80%94%e1%80%ba%e1%80%b8","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/rand-%e1%80%a1%e1%80%8a%e1%80%bd%e1%80%be%e1%80%94%e1%80%ba%e1%80%b8%e1%80%80%e1%80%ad%e1%80%94%e1%80%ba%e1%80%b8\/","title":{"rendered":"Rand index \u1006\u102d\u102f\u1010\u102c\u1018\u102c\u101c\u1032\u104b (\u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Rand \u1021\u100a\u103d\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038<\/strong> \u101e\u100a\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u104f\u1010\u1030\u100a\u102e\u1019\u103e\u102f\u1000\u102d\u102f \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u101b\u1014\u103a\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>R \u1000\u102d\u102f<\/em> \u101b\u100a\u103a\u100a\u103d\u103e\u1014\u103a\u1038\u101c\u1031\u1037\u101b\u103e\u102d\u101e\u100a\u103a\u104a Rand \u1021\u100a\u103d\u103e\u1014\u103a\u1038\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><em>R<\/em> = (a+b) \/ ( <sub>n<\/sub> C <sub>2<\/sub> )<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>a-<\/strong> \u1012\u103c\u1015\u103a\u1005\u1004\u103a\u1010\u1005\u103a\u1005\u102f\u1036\u101e\u100a\u103a \u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1014\u103e\u1005\u103a\u1001\u102f\u1021\u101b \u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1010\u103d\u1004\u103a\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1000\u103c\u102d\u1019\u103a\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>b-<\/strong> \u1012\u103c\u1015\u103a\u1005\u1004\u103a\u1010\u1005\u103a\u1005\u102f\u1036\u101e\u100a\u103a \u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1014\u103e\u1005\u103a\u1001\u102f\u1021\u101b \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f\u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1019\u103b\u102c\u1038\u1011\u1036 \u1021\u1000\u103c\u102d\u1019\u103a\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><sub>n<\/sub> C <sub>2<\/sub> :<\/strong> <em>n<\/em> \u1012\u103c\u1015\u103a\u1005\u1004\u103a\u1021\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u101b\u103e\u102d \u1021\u1005\u102e\u1021\u1005\u1025\u103a\u1019\u101b\u103e\u102d\u101e\u1031\u102c\u1021\u1010\u103d\u1032\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Rand \u1021\u100a\u103d\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101e\u100a\u103a 0 \u1014\u103e\u1004\u1037\u103a 1 \u1021\u1000\u103c\u102c\u1038 \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1021\u1019\u103c\u1032\u101a\u1030\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>0-<\/strong> \u1012\u103c\u1015\u103a\u1005\u1004\u103a\u1010\u1005\u103a\u1005\u102f\u1036\u104f\u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1000\u102d\u102f \u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1021\u1015\u1031\u102b\u103a \u101e\u1018\u1031\u102c\u1019\u1010\u1030\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u100a\u103d\u103e\u1014\u103a\u1015\u103c\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>1-<\/strong> \u1012\u103c\u1015\u103a\u1005\u1004\u103a\u1010\u1005\u103a\u1005\u102f\u1036\u1005\u102e\u104f \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f \u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1021\u1015\u103c\u102f\u1036\u101c\u102d\u102f\u1000\u103a\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1021\u1015\u1031\u102b\u103a \u1021\u1015\u103c\u100a\u1037\u103a\u1021\u101d\u101e\u1018\u1031\u102c\u1010\u1030\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u100a\u103d\u103e\u1014\u103a\u1015\u103c\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1025\u1015\u1019\u102c\u101e\u100a\u103a \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u101e\u1031\u102c\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a \u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u101e\u100a\u1037\u103a\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u101b\u103e\u102d Rand \u1021\u100a\u103d\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1016\u1031\u102c\u103a\u1015\u103c\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c- Rand \u1021\u100a\u103d\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u1000\u102d\u102f \u1018\u101a\u103a\u101c\u102d\u102f\u1010\u103d\u1000\u103a\u1019\u101c\u1032\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1004\u103a \u1012\u103c\u1015\u103a\u1005\u1004\u103a\u1004\u102b\u1038\u1001\u102f\u1015\u102b\u1040\u1004\u103a\u101e\u1031\u102c \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1012\u1031\u1010\u102c\u1021\u1005\u102f\u1036\u101b\u103e\u102d\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032- {A\u104a B\u104a C\u104a D\u104a E}<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1019\u103b\u102c\u1038\u1011\u1032\u101e\u102d\u102f\u1037 \u1012\u103c\u1015\u103a\u1005\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1000\u102d\u102f \u1014\u1031\u101b\u102c\u1001\u103b\u1015\u1031\u1038\u101e\u100a\u1037\u103a \u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038 1 \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1019\u103b\u102c\u1038- {1\u104a 1\u104a 1\u104a 2\u104a 2}<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038 2- {1\u104a 1\u104a 2\u104a 2\u104a 3}<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1024\u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103b\u102c\u1038\u1021\u1000\u103c\u102c\u1038 Rand \u1021\u100a\u103d\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1015\u1011\u1019\u1021\u1001\u103b\u1000\u103a\u1004\u102b\u1038\u1001\u103b\u1000\u103a\u1015\u102b\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1032\u1010\u103d\u1004\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103b\u1031\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1010\u103d\u1032\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u1000\u102d\u102f \u1001\u103b\u101b\u1031\u1038\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1021\u1006\u1004\u1037\u103a\u1019\u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1011\u102c\u1038\u101e\u1031\u102c\u1021\u1010\u103d\u1032\u1019\u103b\u102c\u1038- {A\u104a B}\u104a {A\u104a C}\u104a {A\u104a D}\u104a {A\u104a E}\u104a {B\u104a C}\u104a {B\u104a D}\u104a {B\u104a E}\u104a {C\u104a D } \u104a {C\u104a E}\u104a {D\u104a E}<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1021\u1010\u103d\u1032 <strong>\u1041\u1040<\/strong> \u1010\u103d\u1032\u101b\u103e\u102d\u1015\u102b\u1010\u101a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a\u104a \u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038\u1014\u103e\u1005\u103a\u1001\u102f\u101c\u102f\u1036\u1038\u1010\u103d\u1004\u103a \u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1019\u103e \u1021\u1010\u103d\u1032\u101c\u102d\u102f\u1000\u103a\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1000\u102d\u102f \u1000\u102d\u102f\u101a\u103a\u1005\u102c\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a <strong>\u1021\u1010\u103d\u1032\u1019\u103b\u102c\u1038\u1000\u102d\u102f<\/strong> \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">{AB}<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1012\u102e\u1014\u1031\u101b\u102c\u1019\u103e\u102c a = <strong>1<\/strong> \u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a\u104a \u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1014\u103e\u1005\u103a\u1001\u102f\u101b\u103e\u102d \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1019\u103b\u102c\u1038 \u1015\u102d\u102f\u1004\u103a\u1006\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a \u1021\u1010\u103d\u1032\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1000\u102d\u102f\u101a\u103a\u1005\u102c\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a <strong>b \u1000\u102d\u102f<\/strong> \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">{A\u104a D}\u104a {A\u104a E}\u104a {B\u104a D}\u104a {B\u104a E}\u104a {C\u104a E}<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1012\u102e\u1014\u1031\u101b\u102c\u1019\u103e\u102c b = <strong>5<\/strong> \u1015\u102b\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1014\u1031\u102c\u1000\u103a\u1006\u102f\u1036\u1038\u1021\u1014\u1031\u1014\u1032\u1037 Rand \u1021\u100a\u103d\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u1010\u101a\u103a\u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><em>R<\/em> = (a+b) \/ ( <sub>n<\/sub> C <sub>2<\/sub> )<\/span><\/li>\n<li> <span style=\"color: #000000;\"><em>R<\/em> = (1+5)\/10<\/span><\/li>\n<li> <span style=\"color: #000000;\"><em>R<\/em> = 6\/10<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Rand \u1021\u100a\u103d\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101e\u100a\u103a <strong>0.6<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>R \u1010\u103d\u1004\u103a Rand \u1021\u100a\u103d\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u1000\u102d\u102f\u1018\u101a\u103a\u101c\u102d\u102f\u1010\u103d\u1000\u103a\u101b\u1019\u101c\u1032<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">R \u1010\u103d\u1004\u103a <strong>\u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a<\/strong> \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u101b\u103e\u102d Rand \u1021\u100a\u103d\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a <strong>rand.index()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #993300;\">library<\/span> (fossil)\n\n<span style=\"color: #008080;\">#define clusters\n<\/span>method1 &lt;- c(1, 1, 1, 2, 2)\nmethod2 &lt;- c(1, 1, 2, 2, 3)\n\n<span style=\"color: #008080;\">#calculate Rand index between clustering methods\n<\/span>rand. <span style=\"color: #3366ff;\">index<\/span> (method1, method2)\n\n[1] 0.6\n<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">Rand \u1021\u100a\u103d\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101e\u100a\u103a <strong>0.6<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1000\u102d\u102f\u101a\u103a\u1010\u102d\u102f\u1004\u103a\u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Python \u1010\u103d\u1004\u103a Rand Index \u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1014\u100a\u103a\u1038<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1005\u102f\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u101b\u103e\u102d Rand \u1021\u100a\u103d\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a Python \u1010\u103d\u1004\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n<span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">special<\/span> <span style=\"color: #008000;\">import<\/span> comb\n\n<span style=\"color: #008080;\">#define Rand index function\n<\/span><span style=\"color: #008000;\">def<\/span> <span style=\"color: #993300;\">rand_index<\/span> (actual, pred):\n\n    tp_plus_fp = comb(np. <span style=\"color: #3366ff;\">bincount<\/span> (actual), 2). <span style=\"color: #3366ff;\">sum<\/span> ()\n    tp_plus_fn = comb(np. <span style=\"color: #3366ff;\">bincount<\/span> (pred), 2). <span style=\"color: #3366ff;\">sum<\/span> ()\n    A = np. <span style=\"color: #3366ff;\">c_<\/span> [(actual, pred)]\n    tp = sum(comb( <span style=\"color: #3366ff;\">np.bincount<\/span> (A[A[:, 0] == i, 1]), 2) <span style=\"color: #3366ff;\">.sum<\/span> ()\n             <span style=\"color: #008000;\">for<\/span> i <span style=\"color: #008000;\">in<\/span> set(actual))\n    fp = tp_plus_fp - tp\n    fn = tp_plus_fn - tp\n    tn = comb(len(A), 2) - tp - fp - fn\n    <span style=\"color: #008000;\">return<\/span> (tp + tn) \/ (tp + fp + fn + tn)\n\n<span style=\"color: #008080;\">#calculate Rand index\n<\/span>rand_index([1, 1, 1, 2, 2], [1, 1, 2, 2, 3])\n\n0.6<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Rand \u1021\u100a\u103d\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101e\u100a\u103a <strong>0.6<\/strong> \u1016\u103c\u1005\u103a\u101c\u102c\u101e\u100a\u103a\u104b \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u101a\u1001\u1004\u103a\u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1011\u1015\u103a\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u101b\u1004\u103a\u1038\u1021\u1019\u103c\u1005\u103a\u1019\u103b\u102c\u1038<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/my\/k-\u1006\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c-r-\u1016\u103c\u1004\u1037\u103a-\u1021\u102f\u1015\u103a\u1005\u102f\u1016\u103d\u1032\u1037\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f-\u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u104b\/\" target=\"_blank\" rel=\"noopener\">K-Means Clustering \u1014\u102d\u1012\u102b\u1014\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/r-\u1010\u103d\u1004\u103a-k-meoids\/\" target=\"_blank\" rel=\"noopener\">K-Medoids \u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1000\u102d\u102f \u1019\u102d\u1010\u103a\u1006\u1000\u103a\u1001\u103c\u1004\u103a\u1038\u104b<\/a><br \/> hierarchical clustering \u1021\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1014\u102d\u1012\u102b\u1014\u103a\u1038<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Rand \u1021\u100a\u103d\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038 \u101e\u100a\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u104f\u1010\u1030\u100a\u102e\u1019\u103e\u102f\u1000\u102d\u102f \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u101b\u1014\u103a\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b R \u1000\u102d\u102f \u101b\u100a\u103a\u100a\u103d\u103e\u1014\u103a\u1038\u101c\u1031\u1037\u101b\u103e\u102d\u101e\u100a\u103a\u104a Rand \u1021\u100a\u103d\u103e\u1014\u103a\u1038\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a\u104b R = (a+b) \/ ( n C 2 ) \u101b\u103d\u103e\u1031- a- \u1012\u103c\u1015\u103a\u1005\u1004\u103a\u1010\u1005\u103a\u1005\u102f\u1036\u101e\u100a\u103a \u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1014\u103e\u1005\u103a\u1001\u102f\u1021\u101b \u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1010\u103d\u1004\u103a\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1000\u103c\u102d\u1019\u103a\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u104b b- \u1012\u103c\u1015\u103a\u1005\u1004\u103a\u1010\u1005\u103a\u1005\u102f\u1036\u101e\u100a\u103a \u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1014\u103e\u1005\u103a\u1001\u102f\u1021\u101b \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f\u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1019\u103b\u102c\u1038\u1011\u1036 \u1021\u1000\u103c\u102d\u1019\u103a\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u104b n C 2 : n \u1012\u103c\u1015\u103a\u1005\u1004\u103a\u1021\u1005\u102f\u1010\u1005\u103a\u1001\u102f\u101b\u103e\u102d \u1021\u1005\u102e\u1021\u1005\u1025\u103a\u1019\u101b\u103e\u102d\u101e\u1031\u102c\u1021\u1010\u103d\u1032\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u104b Rand \u1021\u100a\u103d\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101e\u100a\u103a 0 \u1014\u103e\u1004\u1037\u103a 1 \u1021\u1000\u103c\u102c\u1038 \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1021\u1019\u103c\u1032\u101a\u1030\u101e\u100a\u103a- 0- \u1012\u103c\u1015\u103a\u1005\u1004\u103a\u1010\u1005\u103a\u1005\u102f\u1036\u104f\u1021\u1005\u102f\u1021\u101d\u1031\u1038\u1000\u102d\u102f \u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1021\u1015\u1031\u102b\u103a \u101e\u1018\u1031\u102c\u1019\u1010\u1030\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u100a\u103d\u103e\u1014\u103a\u1015\u103c\u101e\u100a\u103a\u104b 1- \u1012\u103c\u1015\u103a\u1005\u1004\u103a\u1010\u1005\u103a\u1005\u102f\u1036\u1005\u102e\u104f [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Rand Index \u1006\u102d\u102f\u1010\u102c\u1018\u102c\u101c\u1032\u104b (\u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038) - Statology<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u1005\u103d\u102c \u1021\u1015\u102b\u1021\u101d\u1004\u103a Rand Index \u104f \u101b\u103e\u1004\u103a\u1038\u101c\u1004\u103a\u1038\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1015\u1031\u1038\u1015\u102b\u101e\u100a\u103a\u104b\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/my\/rand-\u1021\u100a\u103d\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\/\" \/>\n<meta property=\"og:locale\" content=\"my_MM\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Rand Index \u1006\u102d\u102f\u1010\u102c\u1018\u102c\u101c\u1032\u104b (\u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038) - Statology\" \/>\n<meta property=\"og:description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u1005\u103d\u102c \u1021\u1015\u102b\u1021\u101d\u1004\u103a Rand Index \u104f \u101b\u103e\u1004\u103a\u1038\u101c\u1004\u103a\u1038\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1015\u1031\u1038\u1015\u102b\u101e\u100a\u103a\u104b\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/my\/rand-\u1021\u100a\u103d\u103e\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-25T13:22:41+00:00\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/my\/rand-%e1%80%a1%e1%80%8a%e1%80%bd%e1%80%be%e1%80%94%e1%80%ba%e1%80%b8%e1%80%80%e1%80%ad%e1%80%94%e1%80%ba%e1%80%b8\/\",\"url\":\"https:\/\/statorials.org\/my\/rand-%e1%80%a1%e1%80%8a%e1%80%bd%e1%80%be%e1%80%94%e1%80%ba%e1%80%b8%e1%80%80%e1%80%ad%e1%80%94%e1%80%ba%e1%80%b8\/\",\"name\":\"Rand Index \u1006\u102d\u102f\u1010\u102c\u1018\u102c\u101c\u1032\u104b (\u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038) - Statology\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/my\/#website\"},\"datePublished\":\"2023-07-25T13:22:41+00:00\",\"dateModified\":\"2023-07-25T13:22:41+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/my\/#\/schema\/person\/e47470981684a202f7ed4c0cb1e10097\"},\"description\":\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u1005\u103d\u102c \u1021\u1015\u102b\u1021\u101d\u1004\u103a Rand Index \u104f \u101b\u103e\u1004\u103a\u1038\u101c\u1004\u103a\u1038\u1001\u103b\u1000\u103a\u1000\u102d\u102f 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