Magin 1975

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Ashkenazy 1981   17  0.859  0.0222  0.0815  0.3429  0.2024  0.26
Ax 1995   31  0.8219  0.0123  0.0723  0.296  0.4816  0.37
Bacha 1998   41  0.8051  0.0045  0.0643  0.0638  0.0752  0.06
Barbosa 1983   32  0.822  0.073  0.205  0.541  0.692  0.61
BenOr 1989   26  0.8426  0.0035  0.0546  0.0522  0.1849  0.09
Biret 1990   19  0.8536  0.0031  0.0930  0.2147  0.0547  0.10
Brailowsky 1960   40  0.8131  0.0037  0.0640  0.0616  0.3731  0.15
Chiu 1999   49  0.7856  0.0048  0.0734  0.0730  0.1444  0.10
Clidat 1994   54  0.7520  0.0156  0.0552  0.0551  0.0554  0.05
Cohen 1997   64  0.5764  0.0064  0.0363  0.0354  0.0467  0.03
Cortot 1951   56  0.7443  0.0050  0.0456  0.0412  0.3342  0.11
Csalog 1996   50  0.7730  0.0046  0.0551  0.0558  0.0464  0.04
Czerny 1989   37  0.8149  0.0018  0.0817  0.325  0.5513  0.42
Ezaki 2006   39  0.8146  0.0047  0.0547  0.058  0.4235  0.14
Falvay 1989   10  0.877  0.0221  0.0822  0.3026  0.1926  0.24
Fiorentino 1962   48  0.7857  0.0057  0.0457  0.0446  0.0565  0.04
Fliere 1977   24  0.8421  0.0115  0.0718  0.3214  0.3817  0.35
Fou 1978   43  0.7952  0.0038  0.0642  0.0640  0.0751  0.06
Francois 1956   51  0.7632  0.0054  0.0641  0.0610  0.3834  0.15
Goldenweiser 1946   60  0.7355  0.0040  0.0549  0.0522  0.2439  0.11
Gornostaeva 1994   23  0.8441  0.0027  0.0831  0.2113  0.4021  0.29
Groot 1988   16  0.8515  0.0126  0.0925  0.2736  0.0833  0.15
Hatto 1993   3  0.8816  0.015  0.136  0.536  0.563  0.54
Hatto 1997   7  0.8714  0.018  0.163  0.549  0.525  0.53
Horszowski 1983   38  0.8154  0.0017  0.0729  0.245  0.4020  0.31
Indjic 2001   13  0.8645  0.0011  0.089  0.459  0.497  0.47
Katin 1996   22  0.8511  0.0133  0.0733  0.1335  0.0940  0.11
Kiepura 1999   59  0.7339  0.0055  0.0555  0.0517  0.3536  0.13
Korecka 1992   14  0.8638  0.0013  0.0814  0.373  0.528  0.44
Kushner 1990   45  0.7947  0.0042  0.0637  0.0629  0.1845  0.10
Lilamand 2001   63  0.6629  0.0059  0.0365  0.0331  0.2150  0.08
Luisada 1990   4  0.884  0.064  0.134  0.5413  0.416  0.47
Luisada 2008   9  0.8713  0.017  0.1510  0.459  0.4410  0.44
Lushtak 2004   29  0.8340  0.0036  0.0639  0.0640  0.0556  0.05
Malcuzynski 1951   55  0.7535  0.0041  0.0636  0.0612  0.2838  0.13
Malcuzynski 1961   18  0.858  0.029  0.118  0.4512  0.4211  0.43
Magaloff 1977   15  0.8623  0.0116  0.0713  0.388  0.4514  0.41
Magin 1975   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Meguri 1997   58  0.7367  0.0062  0.0462  0.0457  0.0463  0.04
Milkina 1970   36  0.8134  0.0029  0.0827  0.2618  0.2922  0.27
Mohovich 1999   47  0.7824  0.0149  0.0458  0.0437  0.0661  0.05
Nezu 2005   33  0.8137  0.0039  0.0545  0.0534  0.0658  0.05
Ohlsson 1999   8  0.8733  0.0012  0.0811  0.4213  0.4512  0.43
Olejniczak 1990   21  0.855  0.0210  0.0716  0.3422  0.3218  0.33
Osinska 1989   12  0.8627  0.0024  0.0921  0.3128  0.1229  0.19
Perlemuter 1992   42  0.8058  0.0043  0.0735  0.0714  0.2537  0.13
Poblocka 1999   6  0.8728  0.0019  0.0924  0.2824  0.2125  0.24
Rangell 2001   57  0.7365  0.0061  0.0554  0.0550  0.0466  0.04
Richter 1960   46  0.7960  0.0051  0.0550  0.0528  0.1848  0.09
Richter 1961   62  0.7242  0.0058  0.0553  0.0531  0.2143  0.10
Rosen 1989   52  0.7653  0.0053  0.0548  0.0540  0.0659  0.05
Rubinstein 1939   30  0.8322  0.0130  0.0926  0.2627  0.2128  0.23
Rubinstein 1952   34  0.8150  0.0020  0.0919  0.3229  0.1827  0.24
Rubinstein 1966   5  0.8710  0.016  0.157  0.5313  0.369  0.44
Rudanovskaya 2007   61  0.7361  0.0063  0.0461  0.0443  0.0655  0.05
Shebanova 2002   28  0.8317  0.0132  0.1032  0.2025  0.1830  0.19
Smith 1975   44  0.7966  0.0052  0.0459  0.0451  0.0562  0.04
Sztompka 1959   2  0.893  0.072  0.182  0.561  0.711  0.63
Tanyel 1992   53  0.7625  0.0060  0.0460  0.0437  0.0757  0.05
Tsujii 2005   27  0.8448  0.0034  0.0638  0.0638  0.0653  0.06
Uninsky 1959   20  0.8544  0.0025  0.0820  0.3127  0.2323  0.27
Vardi 1988   35  0.8112  0.0144  0.0644  0.0615  0.3632  0.15
Wasowski 1980   11  0.8618  0.0114  0.0812  0.3913  0.3515  0.37
Zimerman 1975   25  0.846  0.0228  0.0828  0.2610  0.4019  0.32
Average   1  0.921  0.491  0.491  0.7216  0.394  0.53
Random 1   67  -0.0963  0.0067  0.0167  0.0117  0.2160  0.05
Random 2   66  0.0962  0.0066  0.0266  0.024  0.5446  0.10
Random 3   65  0.1959  0.0065  0.0364  0.037  0.4241  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).