Average

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Ashkenazy 1981   64  0.3114  0.0118  0.0820  0.272  0.7721  0.46
Ax 1995   60  0.5615  0.0141  0.0742  0.071  0.8242  0.24
Bacha 1998   55  0.6362  0.0056  0.0556  0.051  0.7356  0.19
Barbosa 1983   62  0.5225  0.0023  0.0629  0.221  0.9026  0.44
BenOr 1989   24  0.7537  0.0026  0.0622  0.251  0.8123  0.45
Biret 1990   29  0.7550  0.0025  0.0626  0.231  0.8924  0.45
Brailowsky 1960   59  0.5954  0.0057  0.0648  0.063  0.7350  0.21
Chiu 1999   37  0.7229  0.0038  0.0937  0.091  0.8237  0.27
Clidat 1994   48  0.6634  0.0039  0.0645  0.061  0.8543  0.23
Cohen 1997   63  0.4830  0.0063  0.0463  0.044  0.7361  0.17
Cortot 1951   20  0.7645  0.0050  0.0649  0.061  0.8048  0.22
Csalog 1996   3  0.832  0.142  0.242  0.721  0.912  0.81
Czerny 1989   33  0.7335  0.0010  0.1314  0.441  0.8814  0.62
Ezaki 2006   36  0.7240  0.0024  0.0825  0.231  0.8325  0.44
Falvay 1989   2  0.851  0.431  0.431  0.781  0.941  0.86
Fiorentino 1962   16  0.7756  0.0027  0.0723  0.241  0.8227  0.44
Fliere 1977   32  0.7342  0.0045  0.0936  0.091  0.8136  0.27
Fou 1978   21  0.7652  0.0022  0.0817  0.321  0.8517  0.52
Francois 1956   54  0.6461  0.0062  0.0364  0.037  0.6264  0.14
Goldenweiser 1946   27  0.7539  0.0044  0.0935  0.091  0.8035  0.27
Gornostaeva 1994   61  0.5557  0.0058  0.0459  0.041  0.7562  0.17
Groot 1988   14  0.7820  0.009  0.117  0.531  0.877  0.68
Hatto 1993   10  0.8118  0.0012  0.136  0.533  0.916  0.69
Hatto 1997   9  0.8117  0.0115  0.1112  0.473  0.8911  0.65
Horszowski 1983   44  0.6813  0.0121  0.0821  0.251  0.8420  0.46
Indjic 2001   4  0.8316  0.0114  0.1011  0.483  0.9010  0.66
Katin 1996   6  0.8243  0.0011  0.148  0.511  0.888  0.67
Kiepura 1999   51  0.6560  0.0054  0.0651  0.062  0.7944  0.22
Korecka 1992   43  0.7065  0.0061  0.0558  0.051  0.7953  0.20
Kushner 1990   52  0.6536  0.0047  0.0838  0.081  0.7541  0.24
Lilamand 2001   40  0.7148  0.0034  0.0840  0.081  0.8438  0.26
Luisada 1990   26  0.753  0.075  0.185  0.541  0.905  0.70
Luisada 2008   53  0.6449  0.0046  0.1034  0.101  0.7834  0.28
Lushtak 2004   18  0.7611  0.0113  0.0915  0.391  0.8915  0.59
Malcuzynski 1951   56  0.6358  0.0060  0.0462  0.041  0.7463  0.17
Malcuzynski 1961   15  0.7728  0.007  0.1313  0.461  0.9013  0.64
Magaloff 1977   34  0.7331  0.0043  0.0839  0.081  0.8739  0.26
Magin 1975   25  0.7510  0.028  0.1410  0.481  0.919  0.66
Meguri 1997   30  0.7433  0.0051  0.0461  0.041  0.7759  0.18
Milkina 1970   11  0.7922  0.0030  0.0927  0.221  0.8528  0.43
Mohovich 1999   13  0.788  0.026  0.129  0.491  0.8712  0.65
Nezu 2005   8  0.8144  0.0029  0.0731  0.181  0.8731  0.40
Ohlsson 1999   39  0.7123  0.0037  0.0741  0.071  0.8040  0.24
Olejniczak 1990   28  0.7559  0.0049  0.0553  0.051  0.7855  0.20
Osinska 1989   7  0.8141  0.0028  0.0624  0.241  0.8622  0.45
Perlemuter 1992   49  0.6555  0.0064  0.0555  0.054  0.6858  0.18
Poblocka 1999   12  0.7924  0.0031  0.1219  0.291  0.8719  0.50
Rangell 2001   35  0.7338  0.0042  0.0644  0.062  0.8247  0.22
Richter 1960   22  0.7621  0.0032  0.0928  0.221  0.8629  0.43
Richter 1961   42  0.7027  0.0040  0.0647  0.061  0.8145  0.22
Rosen 1989   31  0.7347  0.0052  0.0552  0.052  0.8054  0.20
Rubinstein 1939   38  0.7151  0.0033  0.0733  0.131  0.8733  0.34
Rubinstein 1952   45  0.6819  0.0036  0.0643  0.061  0.8149  0.22
Rubinstein 1966   17  0.764  0.063  0.284  0.631  0.914  0.76
Rudanovskaya 2007   5  0.829  0.0216  0.1030  0.201  0.8830  0.42
Shebanova 2002   23  0.7646  0.0019  0.0918  0.301  0.8718  0.51
Smith 1975   41  0.7032  0.0048  0.0646  0.062  0.7551  0.21
Sztompka 1959   47  0.6764  0.0055  0.0554  0.051  0.7457  0.19
Tanyel 1992   58  0.6026  0.0053  0.0460  0.046  0.7760  0.18
Tsujii 2005   1  0.855  0.054  0.293  0.651  0.913  0.77
Uninsky 1959   19  0.7612  0.0135  0.0650  0.061  0.7846  0.22
Vardi 1988   46  0.686  0.0417  0.1016  0.321  0.9016  0.54
Wasowski 1980   57  0.6253  0.0059  0.0557  0.051  0.7752  0.20
Zimerman 1975   50  0.657  0.0220  0.0832  0.161  0.8432  0.37
Average   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Random 1   66  0.0466  0.0067  0.0167  0.0129  0.1167  0.03
Random 2   65  0.0667  0.0065  0.0265  0.0220  0.3566  0.08
Random 3   67  -0.0263  0.0066  0.0266  0.0214  0.3965  0.09
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).