Average

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Ashkenazy 1981   42  0.8216  0.019  0.1313  0.511  0.8415  0.65
Ax 1995   53  0.7732  0.0047  0.0740  0.071  0.7442  0.23
Bacha 1998   39  0.8262  0.0039  0.0739  0.071  0.8037  0.24
Barbosa 1983   60  0.7245  0.0040  0.0835  0.081  0.8035  0.25
BenOr 1989   26  0.8551  0.0038  0.0736  0.071  0.8736  0.25
Biret 1990   6  0.9023  0.0010  0.166  0.631  0.886  0.74
Brailowsky 1960   52  0.7856  0.0049  0.0552  0.051  0.7848  0.20
Chiu 1999   40  0.8241  0.0050  0.0554  0.051  0.7849  0.20
Clidat 1994   48  0.7918  0.0137  0.0738  0.071  0.8539  0.24
Cohen 1997   64  0.6535  0.0064  0.0549  0.054  0.6058  0.17
Cortot 1951   58  0.7557  0.0059  0.0363  0.031  0.7163  0.15
Csalog 1996   22  0.877  0.0323  0.0826  0.221  0.8726  0.44
Czerny 1989   44  0.8139  0.0031  0.0830  0.171  0.8530  0.38
Ezaki 2006   46  0.8137  0.0055  0.0550  0.051  0.7152  0.19
Falvay 1989   1  0.913  0.143  0.171  0.761  0.921  0.84
Fiorentino 1962   20  0.8852  0.0036  0.0644  0.061  0.8445  0.22
Fliere 1977   14  0.8830  0.0032  0.0731  0.161  0.8331  0.36
Fou 1978   38  0.838  0.0311  0.1022  0.361  0.7923  0.53
Francois 1956   59  0.7563  0.0063  0.0551  0.051  0.5759  0.17
Goldenweiser 1946   57  0.7644  0.0044  0.0646  0.061  0.8043  0.22
Gornostaeva 1994   41  0.8249  0.0045  0.0737  0.071  0.8140  0.24
Groot 1988   2  0.914  0.054  0.135  0.641  0.875  0.75
Hatto 1993   9  0.8919  0.0018  0.149  0.563  0.9010  0.71
Hatto 1997   13  0.889  0.0214  0.127  0.603  0.907  0.73
Horszowski 1983   49  0.7931  0.0029  0.0928  0.201  0.8028  0.40
Indjic 2001   10  0.8928  0.0020  0.1311  0.543  0.9011  0.70
Katin 1996   11  0.8927  0.0025  0.0921  0.381  0.8921  0.58
Kiepura 1999   63  0.7060  0.0060  0.0361  0.032  0.6764  0.14
Korecka 1992   37  0.8350  0.0046  0.0548  0.051  0.7750  0.20
Kushner 1990   55  0.7658  0.0034  0.0645  0.061  0.8044  0.22
Lilamand 2001   62  0.7236  0.0056  0.0362  0.032  0.7162  0.15
Luisada 1990   8  0.891  0.241  0.233  0.721  0.913  0.81
Luisada 2008   23  0.8661  0.0017  0.1023  0.351  0.8722  0.55
Lushtak 2004   15  0.8810  0.0224  0.0820  0.391  0.8920  0.59
Malcuzynski 1951   61  0.7253  0.0042  0.0742  0.071  0.7146  0.22
Malcuzynski 1961   34  0.8424  0.006  0.1310  0.561  0.899  0.71
Magaloff 1977   24  0.8646  0.0041  0.1034  0.101  0.8434  0.29
Magin 1975   17  0.8813  0.0112  0.1115  0.491  0.8614  0.65
Meguri 1997   43  0.8259  0.0054  0.0459  0.041  0.7156  0.17
Milkina 1970   32  0.8440  0.0035  0.0743  0.071  0.8438  0.24
Mohovich 1999   25  0.8625  0.0028  0.0825  0.261  0.8425  0.47
Nezu 2005   21  0.8743  0.0027  0.0824  0.291  0.8324  0.49
Ohlsson 1999   12  0.8917  0.0121  0.1316  0.471  0.8216  0.62
Olejniczak 1990   16  0.8847  0.0026  0.0829  0.181  0.8429  0.39
Osinska 1989   4  0.9111  0.027  0.154  0.661  0.864  0.75
Perlemuter 1992   50  0.7864  0.0058  0.0365  0.031  0.7160  0.15
Poblocka 1999   7  0.9033  0.0015  0.1012  0.521  0.8612  0.67
Rangell 2001   51  0.7834  0.0061  0.0458  0.042  0.8055  0.18
Richter 1960   33  0.8420  0.0043  0.0741  0.071  0.7341  0.23
Richter 1961   54  0.7729  0.0057  0.0364  0.032  0.7161  0.15
Rosen 1989   30  0.8554  0.0033  0.0733  0.141  0.7533  0.32
Rubinstein 1939   27  0.8521  0.0016  0.1018  0.451  0.8418  0.61
Rubinstein 1952   28  0.8514  0.015  0.1217  0.461  0.8317  0.62
Rubinstein 1966   5  0.912  0.232  0.372  0.741  0.902  0.82
Rudanovskaya 2007   45  0.8138  0.0062  0.0457  0.041  0.7357  0.17
Shebanova 2002   19  0.8815  0.0119  0.1214  0.511  0.8513  0.66
Smith 1975   35  0.8426  0.0048  0.0556  0.052  0.7453  0.19
Sztompka 1959   36  0.8355  0.0051  0.0647  0.062  0.7247  0.21
Tanyel 1992   47  0.8042  0.0053  0.0555  0.052  0.8151  0.20
Tsujii 2005   3  0.9112  0.028  0.148  0.601  0.898  0.73
Uninsky 1959   18  0.885  0.0413  0.1019  0.441  0.8319  0.60
Vardi 1988   56  0.7622  0.0052  0.0553  0.051  0.7654  0.19
Wasowski 1980   31  0.8448  0.0030  0.0727  0.201  0.8627  0.41
Zimerman 1975   29  0.856  0.0322  0.0832  0.141  0.8232  0.34
Average   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Random 1   67  -0.0165  0.0066  0.0266  0.0234  0.0666  0.03
Random 2   66  0.0267  0.0067  0.0167  0.0140  0.0667  0.02
Random 3   65  0.0766  0.0065  0.0360  0.0317  0.3765  0.11

Note: To load data table give above into Excel, copy and paste the data into a text editor (such as WordPad) first, then copy the text in the editor and past into Excel. You should remove the "target" line from the data before pasting into Excel so that plotting graphs of the data is done properly.

Column descriptions

  • Performance:
  • 0-Rank/0-Score: 0-Score is equivalent to Pearson correlation of the entire data sequence between the reference performance and a test performance. 0-Rank is the sorting order of the 0-scores (highest score has a rank of 1).
  • 1-Rank/1-Score: 1-Score is the area fraction covered by a particular performance in the scape plot (see image above). These values should not be taken literally, since they are sensitive to the Hatto Effect.
  • 2-Rank/2-Score: 2-Score values are equivalent to 1-Score values with all higher-ranking performances removed before the calculation of the area of coverage in the scape is calculated. Improvment over the 1-Rank scores, but still somewhat sensitive to the Hatto Effect.
  • 3-Rank/3-Score: Similar to 2-Rank calculations. The bottom 1/2 of the 2-rank performances are kept constant as a noise floor for the similarity measurement. Then one-by-one the top 1/2 of the 2-rank performances are superimposed with the noise-floor performances, and a 3-score is measured as the area covered in the scape. This measure is not sentisive to the Hatto Effect.
  • 3R-Rank/3R-Score: Reverse 3-rank/3-scores. 3-rankings and scores are not symmetric (A->B values are different from B->A values). So this column represents similarity measures in the opposite direction.
  • 4-Rank/4-Score: The geometric mean between 3-scores and 3R-scores. This column gives the best overall similarity ranking between the various performances (see color codes below).
  • NED: Noise Equivalient Distance (not yet implemented)

Color codes for 3-rank listings:

  • red = strongly similar performance to target
  • orange = moderately similar performance
  • yellow = weakly similar performance
  • green = marginally similar/dissimilar performance
  • white = dissimilar to target
  • blue = false positive (has high 3-rank score but low 3R-rank score)

3-rank/scores are not symmetric, so the 3R-rank/score columns give the 3-rank/scores going in the opposite direction. More matches in the 3-rank column than in the 3R-rank column indicates an individualistic performance, while more matches in the 3R-rank column indicates a mainstream performance.

If a 3-rank and a 3R-rank are both marked as similar to each other, then there is a possible direct relation between the performances. If one is similar to the other but not in the reverse direction, then the similarity is more likely to be by chance (performers randomly chose a similar interpretation).