Magin 1975

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Ashkenazy 1981   64  0.3265  0.0022  0.0828  0.2922  0.4526  0.36
Ax 1995   44  0.5019  0.0016  0.1019  0.396  0.6314  0.50
Bacha 1998   54  0.4634  0.0053  0.0548  0.0523  0.2841  0.12
Barbosa 1983   56  0.4653  0.0014  0.1014  0.4715  0.5710  0.52
BenOr 1989   36  0.5337  0.0040  0.0641  0.0641  0.0756  0.06
Biret 1990   29  0.559  0.0134  0.1034  0.1020  0.3934  0.20
Brailowsky 1960   40  0.5212  0.0124  0.0721  0.377  0.6813  0.50
Chiu 1999   34  0.5449  0.0028  0.0924  0.3214  0.4224  0.37
Clidat 1994   52  0.4762  0.0052  0.0553  0.0542  0.0661  0.05
Cohen 1997   62  0.4325  0.0056  0.0555  0.0510  0.6035  0.17
Cortot 1951   6  0.6218  0.0011  0.1020  0.382  0.6216  0.49
Csalog 1996   8  0.6127  0.0019  0.0915  0.4628  0.3025  0.37
Czerny 1989   25  0.5631  0.0017  0.0913  0.4716  0.4819  0.47
Ezaki 2006   26  0.5640  0.0023  0.0826  0.3021  0.3729  0.33
Falvay 1989   4  0.6213  0.017  0.154  0.6216  0.3717  0.48
Fiorentino 1962   7  0.618  0.0115  0.1011  0.507  0.5412  0.52
Fliere 1977   42  0.5141  0.0046  0.0645  0.0630  0.1647  0.10
Fou 1978   43  0.5155  0.0047  0.0738  0.0750  0.0653  0.06
Francois 1956   48  0.4859  0.0057  0.0457  0.0423  0.4040  0.13
Goldenweiser 1946   24  0.5620  0.0033  0.1132  0.2112  0.4830  0.32
Gornostaeva 1994   55  0.4639  0.0050  0.0556  0.0518  0.4838  0.15
Groot 1988   12  0.605  0.0221  0.0822  0.3624  0.3228  0.34
Hatto 1993   18  0.5816  0.0026  0.0827  0.3023  0.4027  0.35
Hatto 1997   28  0.5545  0.0042  0.0643  0.0642  0.0560  0.05
Horszowski 1983   53  0.4623  0.0048  0.0547  0.0533  0.1551  0.09
Indjic 2001   27  0.5636  0.0038  0.0737  0.0731  0.1645  0.11
Katin 1996   11  0.6038  0.0010  0.1010  0.5117  0.4518  0.48
Kiepura 1999   15  0.596  0.015  0.1317  0.424  0.698  0.54
Korecka 1992   14  0.593  0.0232  0.1131  0.245  0.6921  0.41
Kushner 1990   45  0.5060  0.0045  0.0550  0.0520  0.3539  0.13
Lilamand 2001   39  0.5251  0.0029  0.0833  0.2025  0.4533  0.30
Luisada 1990   23  0.5715  0.009  0.149  0.5114  0.5311  0.52
Luisada 2008   58  0.4567  0.0051  0.0460  0.0426  0.2349  0.10
Lushtak 2004   5  0.627  0.018  0.197  0.547  0.577  0.55
Malcuzynski 1951   50  0.4724  0.0061  0.0462  0.0435  0.0857  0.06
Malcuzynski 1961   9  0.6117  0.0012  0.118  0.5110  0.539  0.52
Magaloff 1977   38  0.5344  0.0044  0.0549  0.0525  0.2344  0.11
Magin 1975   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Meguri 1997   37  0.5356  0.0054  0.0552  0.0524  0.3042  0.12
Milkina 1970   30  0.5532  0.0039  0.0640  0.0638  0.0754  0.06
Mohovich 1999   17  0.584  0.024  0.175  0.618  0.615  0.61
Nezu 2005   19  0.5828  0.0036  0.0736  0.0724  0.3137  0.15
Ohlsson 1999   2  0.652  0.082  0.482  0.713  0.711  0.71
Olejniczak 1990   61  0.4547  0.0060  0.0458  0.0454  0.0466  0.04
Osinska 1989   16  0.5842  0.0037  0.0639  0.0631  0.1848  0.10
Perlemuter 1992   59  0.4566  0.0063  0.0364  0.0338  0.0665  0.04
Poblocka 1999   32  0.5546  0.0043  0.0644  0.0649  0.0652  0.06
Rangell 2001   60  0.4548  0.0059  0.0554  0.0539  0.0663  0.05
Richter 1960   31  0.5529  0.0031  0.0930  0.2521  0.4232  0.32
Richter 1961   41  0.5243  0.0030  0.0925  0.3016  0.4923  0.38
Rosen 1989   51  0.4764  0.0062  0.0461  0.0445  0.0662  0.05
Rubinstein 1939   21  0.5726  0.0013  0.0812  0.492  0.656  0.56
Rubinstein 1952   47  0.4933  0.0041  0.0546  0.0525  0.2646  0.11
Rubinstein 1966   33  0.5457  0.0025  0.0923  0.3627  0.2931  0.32
Rudanovskaya 2007   22  0.5722  0.0035  0.0835  0.0823  0.2836  0.15
Shebanova 2002   13  0.5914  0.0018  0.1116  0.4317  0.4820  0.45
Smith 1975   49  0.4858  0.0055  0.0551  0.0546  0.0658  0.05
Sztompka 1959   35  0.5335  0.0027  0.0729  0.2910  0.5722  0.41
Tanyel 1992   57  0.4654  0.0058  0.0459  0.0438  0.0855  0.06
Tsujii 2005   3  0.6510  0.013  0.203  0.645  0.594  0.61
Uninsky 1959   46  0.5021  0.0049  0.0642  0.0658  0.0459  0.05
Vardi 1988   10  0.6011  0.016  0.146  0.584  0.723  0.65
Wasowski 1980   63  0.3950  0.0064  0.0363  0.0346  0.0664  0.04
Zimerman 1975   20  0.5830  0.0020  0.1018  0.4111  0.5915  0.49
Average   1  0.751  0.741  0.731  0.9110  0.482  0.66
Random 1   65  0.1052  0.0065  0.0365  0.034  0.4843  0.12
Random 2   67  0.0063  0.0067  0.0167  0.0133  0.1167  0.03
Random 3   66  0.0261  0.0066  0.0266  0.024  0.5150  0.10

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).