Average

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Ashkenazy 1981   38  0.7436  0.0043  0.1337  0.131  0.8538  0.33
Ax 1995   9  0.8346  0.0012  0.1510  0.621  0.929  0.76
Bacha 1998   49  0.6434  0.0048  0.1041  0.101  0.8242  0.29
Barbosa 1983   37  0.7428  0.0039  0.0947  0.091  0.8246  0.27
BenOr 1989   14  0.8112  0.0117  0.1315  0.531  0.9315  0.70
Biret 1990   35  0.7533  0.0036  0.1535  0.151  0.8835  0.36
Brailowsky 1960   19  0.8043  0.0019  0.1518  0.501  0.9117  0.67
Chiu 1999   55  0.5962  0.0055  0.0658  0.061  0.7557  0.21
Clidat 1994   46  0.6844  0.0042  0.1139  0.111  0.8341  0.30
Cohen 1997   64  0.4463  0.0064  0.0660  0.062  0.6761  0.20
Cortot 1951   61  0.5050  0.0062  0.0464  0.043  0.6364  0.16
Csalog 1996   45  0.6959  0.0045  0.0849  0.081  0.8448  0.26
Czerny 1989   30  0.7738  0.0028  0.0928  0.271  0.8928  0.49
Ezaki 2006   29  0.7740  0.0035  0.1436  0.141  0.8536  0.34
Falvay 1989   1  0.881  0.311  0.311  0.791  0.921  0.85
Fiorentino 1962   17  0.818  0.0315  0.1412  0.551  0.9113  0.71
Fliere 1977   43  0.6919  0.0038  0.0946  0.091  0.7847  0.26
Fou 1978   25  0.7816  0.0120  0.1420  0.491  0.9019  0.66
Francois 1956   47  0.6739  0.0044  0.0850  0.081  0.7851  0.25
Goldenweiser 1946   57  0.5760  0.0057  0.0659  0.062  0.7256  0.21
Gornostaeva 1994   52  0.6254  0.0050  0.0851  0.081  0.7850  0.25
Groot 1988   31  0.7723  0.0027  0.1025  0.341  0.8726  0.54
Hatto 1993   7  0.8418  0.0110  0.135  0.653  0.917  0.77
Hatto 1997   5  0.8451  0.0011  0.156  0.653  0.925  0.77
Horszowski 1983   63  0.4764  0.0061  0.0563  0.051  0.6262  0.18
Indjic 2001   3  0.8410  0.017  0.144  0.683  0.914  0.79
Katin 1996   24  0.7827  0.0023  0.1023  0.401  0.9123  0.60
Kiepura 1999   22  0.7937  0.0030  0.0929  0.251  0.9029  0.47
Korecka 1992   44  0.6958  0.0047  0.1042  0.101  0.8443  0.29
Kushner 1990   23  0.7826  0.0029  0.0827  0.321  0.8827  0.53
Lilamand 2001   62  0.4955  0.0063  0.0561  0.053  0.6163  0.17
Luisada 1990   32  0.7617  0.0137  0.1734  0.172  0.9134  0.39
Luisada 2008   36  0.7442  0.0040  0.1044  0.102  0.8840  0.30
Lushtak 2004   15  0.816  0.036  0.1517  0.511  0.8918  0.67
Malcuzynski 1951   2  0.854  0.093  0.353  0.732  0.913  0.82
Malcuzynski 1961   6  0.842  0.192  0.262  0.752  0.902  0.82
Magaloff 1977   56  0.5849  0.0054  0.0562  0.051  0.8460  0.20
Magin 1975   21  0.7948  0.0031  0.0930  0.241  0.9030  0.46
Meguri 1997   53  0.6132  0.0051  0.0657  0.061  0.7658  0.21
Milkina 1970   18  0.8113  0.015  0.1811  0.611  0.8911  0.74
Mohovich 1999   41  0.7353  0.0041  0.1140  0.111  0.8639  0.31
Nezu 2005   11  0.827  0.0314  0.1613  0.551  0.9312  0.72
Ohlsson 1999   20  0.7930  0.0024  0.1126  0.331  0.8925  0.54
Olejniczak 1990   13  0.8241  0.0016  0.1416  0.521  0.9116  0.69
Osinska 1989   8  0.835  0.049  0.108  0.631  0.918  0.76
Perlemuter 1992   60  0.5256  0.0060  0.0654  0.061  0.6859  0.20
Poblocka 1999   26  0.7824  0.0033  0.1132  0.221  0.9032  0.44
Rangell 2001   51  0.6325  0.0053  0.0656  0.061  0.8355  0.22
Richter 1960   54  0.6021  0.0056  0.0655  0.062  0.7854  0.22
Richter 1961   59  0.5320  0.0058  0.0752  0.072  0.7852  0.23
Rosen 1989   33  0.7615  0.0134  0.1338  0.131  0.8637  0.33
Rubinstein 1939   40  0.7322  0.0026  0.0831  0.231  0.8831  0.45
Rubinstein 1952   34  0.7514  0.0125  0.0824  0.401  0.8424  0.58
Rubinstein 1966   27  0.7811  0.0122  0.1221  0.471  0.8722  0.64
Rudanovskaya 2007   58  0.5657  0.0059  0.0753  0.071  0.7753  0.23
Shebanova 2002   50  0.6361  0.0052  0.0848  0.082  0.7849  0.25
Smith 1975   39  0.7447  0.0032  0.0933  0.181  0.8333  0.39
Sztompka 1959   48  0.6552  0.0049  0.1043  0.101  0.7945  0.28
Tanyel 1992   12  0.823  0.124  0.209  0.631  0.9010  0.75
Tsujii 2005   4  0.8429  0.008  0.177  0.641  0.926  0.77
Uninsky 1959   16  0.8135  0.0018  0.1119  0.501  0.8820  0.66
Vardi 1988   28  0.779  0.0221  0.1322  0.451  0.9121  0.64
Wasowski 1980   42  0.7131  0.0046  0.0945  0.091  0.8944  0.28
Zimerman 1975   10  0.8245  0.0013  0.1714  0.541  0.9014  0.70
Average   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Random 1   67  -0.0465  0.0067  0.0167  0.0151  0.0467  0.02
Random 2   66  -0.0266  0.0066  0.0266  0.0256  0.0465  0.03
Random 3   65  0.0067  0.0065  0.0365  0.0355  0.0366  0.03
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).