From: Comparison of hierarchical cluster analysis methods by cophenetic correlation
Distance measure | Clustering method | Cophenetic correlation coefficient | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
|
|
| ||||||||
|
|
|
|
|
|
|
|
| ||
Euclidean | Average | 0.7552 | 0.6358 | 0.6009 | 0.7255 | 0.6017 | 0.5753 | 0.6922 | 0.5728 | 0.5339 |
Centroid | 0.6927 | 0.6393 | 0.6038 | 0.6463 | 0.6028 | 0.5557 | 0.5829 | 0.5759 | 0.5605 | |
Complete | 0.6858 | 0.4940 | 0.4313 | 0.6397 | 0.4135 | 0.3386 | 0.5920 | 0.3439 | 0.2640 | |
Median | 0.7309 | 0.5600 | 0.4797 | 0.6897 | 0.5412 | 0.4605 | 0.6220 | 0.5338 | 0.4989 | |
Single | 0.7034 | 0.6033 | 0.5947 | 0.6633 | 0.5663 | 0.5577 | 0.6157 | 0.5332 | 0.5295 | |
Ward | 0.6832 | 0.4956 | 0.4422 | 0.6384 | 0.4124 | 0.3496 | 0.5895 | 0.3367 | 0.2664 | |
Weighted | 0.7367 | 0.5428 | 0.4692 | 0.7064 | 0.5024 | 0.4105 | 0.6749 | 0.4791 | 0.3941 | |
Squared Euclidean | Average | 0.7381 | 0.6352 | 0.5978 | 0.7090 | 0.5974 | 0.5546 | 0.6792 | 0.5700 | 0.5315 |
Centroid | 0.7285 | 0.6402 | 0.6056 | 0.6874 | 0.6085 | 0.5765 | 0.6254 | 0.5831 | 0.5632 | |
Complete | 0.6565 | 0.4826 | 0.4271 | 0.6128 | 0.4014 | 0.3325 | 0.5659 | 0.3318 | 0.2586 | |
Median | 0.7102 | 0.5538 | 0.4745 | 0.6679 | 0.5386 | 0.4553 | 0.6013 | 0.5344 | 0.5039 | |
Single | 0.6874 | 0.6038 | 0.5950 | 0.6453 | 0.5656 | 0.5578 | 0.6009 | 0.5324 | 0.5301 | |
Ward | 0.6533 | 0.4830 | 0.4350 | 0.6093 | 0.3995 | 0.3421 | 0.5661 | 0.3264 | 0.2589 | |
Weighted | 0.7191 | 0.5351 | 0.4615 | 0.6904 | 0.4978 | 0.4054 | 0.6623 | 0.4768 | 0.3969 | |
Mahalanobis | Average | 0.6957 | 0.6276 | 0.5950 | 0.6176 | 0.5865 | 0.5469 | NaN | 0.5591 | 0.5284 |
Centroid | 0.6749 | 0.6325 | 0.6010 | 0.5864 | 0.5993 | 0.5723 | NaN | 0.5789 | 0.5630 | |
Complete | 0.5627 | 0.4578 | 0.4121 | 0.3958 | 0.3625 | 0.3097 | NaN | 0.2711 | 0.2270 | |
Median | 0.6587 | 0.5426 | 0.4719 | 0.5762 | 0.5320 | 0.4538 | NaN | 0.5385 | 0.5106 | |
Single | 0.6565 | 0.6032 | 0.5956 | 0.5642 | 0.5655 | 0.5589 | NaN | 0.5293 | 0.5317 | |
Ward | 0.5541 | 0.4621 | 0.4235 | 0.3876 | 0.3539 | 0.3147 | NaN | 0.2495 | 0.2155 | |
Weighted | 0.6760 | 0.5202 | 0.4549 | 0.6078 | 0.4843 | 0.3963 | NaN | 0.4869 | 0.4013 | |
Cityblock | Average | 0.7427 | 0.6228 | 0.5844 | 0.7120 | 0.5810 | 0.5349 | 0.6787 | 0.5484 | 0.5076 |
Centroid | 0.7372 | 0.6280 | 0.5944 | 0.6983 | 0.5902 | 0.5557 | 0.6343 | 0.5579 | 0.5368 | |
Complete | 0.6716 | 0.4780 | 0.4229 | 0.6247 | 0.3976 | 0.3272 | 0.5771 | 0.3285 | 0.2502 | |
Median | 0.7194 | 0.5460 | 0.4710 | 0.6799 | 0.5233 | 0.4455 | 0.6129 | 0.5117 | 0.4774 | |
Single | 0.6876 | 0.5839 | 0.5756 | 0.6443 | 0.5410 | 0.5324 | 0.5975 | 0.5037 | 0.5009 | |
Ward | 0.6728 | 0.4869 | 0.4348 | 0.6281 | 0.4052 | 0.3427 | 0.5823 | 0.3322 | 0.2596 | |
Weighted | 0.7244 | 0.5290 | 0.4546 | 0.6936 | 0.4878 | 0.3969 | 0.6615 | 0.4601 | 0.3824 | |
Minkowski | Average | 0.7552 | 0.6393 | 0.6009 | 0.7255 | 0.6017 | 0.5557 | 0.6922 | 0.5728 | 0.5339 |
Centroid | 0.7497 | 0.6447 | 0.6087 | 0.7099 | 0.6124 | 0.5791 | 0.6450 | 0.5833 | 0.5629 | |
Complete | 0.6858 | 0.4940 | 0.4313 | 0.6397 | 0.4135 | 0.3386 | 0.5920 | 0.3439 | 0.2640 | |
Median | 0.7309 | 0.5600 | 0.4797 | 0.6897 | 0.5412 | 0.4605 | 0.6220 | 0.5338 | 0.4989 | |
Single | 0.7034 | 0.6033 | 0.5947 | 0.6633 | 0.5663 | 0.5577 | 0.6157 | 0.5332 | 0.5295 | |
Ward | 0.6832 | 0.4956 | 0.4422 | 0.6384 | 0.4124 | 0.3496 | 0.5895 | 0.3367 | 0.2664 | |
Weighted | 0.7367 | 0.5428 | 0.4692 | 0.7064 | 0.5024 | 0.4105 | 0.6749 | 0.4791 | 0.3941 | |
Cosine | Average | 0.7590 | 0.6277 | 0.5839 | 0.6994 | 0.5143 | 0.4524 | 0.6441 | 0.4152 | 0.3413 |
Centroid | 0.7518 | 0.6045 | 0.5478 | 0.6866 | 0.4711 | 0.3894 | 0.6097 | 0.3242 | 0.2312 | |
Complete | 0.7230 | 0.5782 | 0.5320 | 0.6501 | 0.4518 | 0.3929 | 0.5808 | 0.3428 | 0.2700 | |
Median | 0.7340 | 0.5530 | 0.5040 | 0.6681 | 0.4273 | 0.3546 | 0.5911 | 0.3004 | 0.2146 | |
Single | 0.6931 | 0.4695 | 0.3898 | 0.6034 | 0.3070 | 0.2202 | 0.5211 | 0.2017 | 0.1275 | |
Ward | 0.7381 | 0.6142 | 0.5730 | 0.6716 | 0.4979 | 0.4418 | 0.6083 | 0.3974 | 0.3280 | |
Weighted | 0.7433 | 0.5786 | 0.5336 | 0.6854 | 0.4711 | 0.4093 | 0.6311 | 0.3834 | 0.3069 | |
Correlation | Average | 0.8217 | 0.7470 | 0.7226 | 0.7229 | 0.5581 | 0.5065 | 0.6507 | 0.4268 | 0.3542 |
Centroid | 0.8169 | 0.7358 | 0.7037 | 0.7124 | 0.5245 | 0.4594 | 0.6212 | 0.3441 | 0.2518 | |
Complete | 0.7979 | 0.7083 | 0.6775 | 0.6791 | 0.4987 | 0.4514 | 0.5893 | 0.3545 | 0.2855 | |
Median | 0.7982 | 0.6886 | 0.6621 | 0.6952 | 0.4754 | 0.4128 | 0.6028 | 0.3177 | 0.2324 | |
Single | 0.7939 | 0.6715 | 0.6285 | 0.6389 | 0.3624 | 0.2781 | 0.5307 | 0.2124 | 0.1355 | |
Ward | 0.8069 | 0.7388 | 0.7155 | 0.6974 | 0.5429 | 0.4938 | 0.6170 | 0.4099 | 0.3426 | |
Weighted | 0.8052 | 0.7061 | 0.6816 | 0.7075 | 0.5105 | 0.4534 | 0.6379 | 0.3916 | 0.3185 | |
Spearman | Average | 0.8207 | 0.7600 | 0.7441 | 0.7240 | 0.5636 | 0.5163 | 0.6487 | 0.4274 | 0.3567 |
Centroid | 0.8116 | 0.7413 | 0.7199 | 0.7132 | 0.5336 | 0.4715 | 0.6184 | 0.3452 | 0.2511 | |
Complete | 0.8094 | 0.7788 | 0.7780 | 0.6815 | 0.5337 | 0.4966 | 0.5884 | 0.3572 | 0.2896 | |
Median | 0.7903 | 0.7162 | 0.7114 | 0.6958 | 0.4818 | 0.4235 | 0.5990 | 0.3175 | 0.2329 | |
Single | 0.6854 | 0.6737 | 0.6738 | 0.6397 | 0.4010 | 0.1830 | 0.5287 | 0.2198 | 0.1427 | |
Ward | 0.7892 | 0.7358 | 0.7275 | 0.6973 | 0.5488 | 0.5030 | 0.6145 | 0.4093 | 0.3434 | |
Weighted | 0.8118 | 0.7788 | 0.7780 | 0.7086 | 0.5154 | 0.4672 | 0.6357 | 0.3916 | 0.3194 | |
Chebychev | Average | 0.7375 | 0.6183 | 0.5804 | 0.6933 | 0.5595 | 0.5141 | 0.6448 | 0.4958 | 0.4523 |
Centroid | 0.7317 | 0.6241 | 0.5870 | 0.6811 | 0.5693 | 0.5334 | 0.6100 | 0.5067 | 0.4805 | |
Complete | 0.6647 | 0.4780 | 0.4235 | 0.6035 | 0.3824 | 0.3164 | 0.5423 | 0.2962 | 0.2281 | |
Median | 0.7140 | 0.5431 | 0.4630 | 0.6625 | 0.5036 | 0.4287 | 0.5928 | 0.4628 | 0.4249 | |
Single | 0.6833 | 0.5792 | 0.5695 | 0.6223 | 0.5199 | 0.5084 | 0.5536 | 0.4468 | 0.4405 | |
Ward | 0.6680 | 0.4852 | 0.4317 | 0.6128 | 0.3949 | 0.3341 | 0.5595 | 0.3140 | 0.2423 | |
Weighted | 0.7189 | 0.5255 | 0.4494 | 0.6759 | 0.4734 | 0.3878 | 0.6294 | 0.4249 | 0.3525 |