Random 2

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Ashkenazy 1981   39  0.0036  0.0049  0.0541  0.0566  0.0157  0.02
Ax 1995   46  -0.0124  0.0032  0.0632  0.1266  0.0135  0.03
Bacha 1998   44  -0.0138  0.0060  0.0262  0.0266  0.0162  0.01
Barbosa 1983   2  0.102  0.103  0.162  0.5865  0.024  0.11
BenOr 1989   19  0.0627  0.0017  0.0819  0.3465  0.0215  0.08
Biret 1990   36  0.0232  0.0048  0.0540  0.0566  0.0159  0.02
Brailowsky 1960   26  0.0445  0.0037  0.0735  0.0766  0.0133  0.03
Chiu 1999   22  0.0418  0.0130  0.0731  0.1466  0.0130  0.04
Clidat 1994   28  0.0323  0.0135  0.0637  0.0666  0.0152  0.02
Cohen 1997   64  -0.0713  0.0165  0.0265  0.0266  0.0166  0.01
Cortot 1951   12  0.0711  0.0215  0.0818  0.3466  0.0121  0.06
Csalog 1996   29  0.0331  0.0034  0.0833  0.0865  0.0231  0.04
Czerny 1989   27  0.0319  0.0127  0.0723  0.2866  0.0125  0.05
Ezaki 2006   38  0.0010  0.0224  0.0825  0.2465  0.0216  0.07
Falvay 1989   40  0.0063  0.0047  0.0446  0.0466  0.0142  0.02
Fiorentino 1962   37  0.0029  0.0050  0.0352  0.0366  0.0158  0.02
Fliere 1977   8  0.0744  0.0019  0.0715  0.3566  0.0118  0.06
Fou 1978   63  -0.0750  0.0053  0.0356  0.0366  0.0143  0.02
Francois 1956   56  -0.0414  0.0145  0.0542  0.0566  0.0160  0.02
Goldenweiser 1946   49  -0.0252  0.0029  0.0730  0.1666  0.0129  0.04
Gornostaeva 1994   25  0.0442  0.0014  0.0816  0.3565  0.0214  0.08
Groot 1988   20  0.0543  0.0036  0.0734  0.0766  0.0136  0.03
Hatto 1993   16  0.0621  0.0118  0.089  0.4065  0.0211  0.09
Hatto 1997   18  0.0656  0.0020  0.0811  0.3865  0.029  0.09
Horszowski 1983   23  0.0448  0.0013  0.0821  0.2865  0.0217  0.07
Indjic 2001   14  0.0661  0.0021  0.0913  0.3565  0.0213  0.08
Katin 1996   17  0.0665  0.0031  0.0829  0.1665  0.0219  0.06
Kiepura 1999   65  -0.0912  0.0156  0.0358  0.0366  0.0138  0.02
Korecka 1992   33  0.0220  0.0128  0.1024  0.2766  0.0124  0.05
Kushner 1990   55  -0.0455  0.0054  0.0450  0.0466  0.0148  0.02
Lilamand 2001   10  0.075  0.062  0.185  0.4565  0.028  0.09
Luisada 1990   62  -0.0662  0.0061  0.0263  0.0266  0.0163  0.01
Luisada 2008   58  -0.0554  0.0062  0.0357  0.0366  0.0151  0.02
Lushtak 2004   54  -0.0349  0.0051  0.0451  0.0466  0.0153  0.02
Malcuzynski 1951   31  0.0247  0.0012  0.0914  0.3566  0.0122  0.06
Malcuzynski 1961   43  -0.0164  0.0041  0.0447  0.0466  0.0146  0.02
Magaloff 1977   7  0.0834  0.0016  0.078  0.4165  0.0210  0.09
Magin 1975   5  0.096  0.044  0.164  0.5465  0.025  0.10
Meguri 1997   52  -0.029  0.0352  0.0355  0.0366  0.0149  0.02
Milkina 1970   42  0.0037  0.0044  0.0448  0.0466  0.0144  0.02
Mohovich 1999   48  -0.0226  0.0063  0.0354  0.0366  0.0156  0.02
Nezu 2005   66  -0.1158  0.0066  0.0166  0.0166  0.0165  0.01
Ohlsson 1999   6  0.0930  0.009  0.0810  0.3865  0.027  0.09
Olejniczak 1990   34  0.0246  0.0038  0.0736  0.0766  0.0137  0.03
Osinska 1989   53  -0.0366  0.0058  0.0360  0.0366  0.0140  0.02
Perlemuter 1992   13  0.0616  0.0110  0.087  0.4165  0.026  0.09
Poblocka 1999   59  -0.0540  0.0059  0.0264  0.0266  0.0161  0.01
Rangell 2001   32  0.0217  0.0125  0.0728  0.1866  0.0132  0.04
Richter 1960   41  0.0028  0.0042  0.0543  0.0566  0.0150  0.02
Richter 1961   30  0.0325  0.0040  0.0544  0.0566  0.0141  0.02
Rosen 1989   51  -0.0257  0.0055  0.0353  0.0366  0.0155  0.02
Rubinstein 1939   15  0.0633  0.0023  0.0827  0.2166  0.0123  0.05
Rubinstein 1952   9  0.0715  0.0122  0.0920  0.2966  0.0128  0.05
Rubinstein 1966   4  0.097  0.048  0.0822  0.2866  0.0126  0.05
Rudanovskaya 2007   24  0.0435  0.0033  0.0638  0.0665  0.0234  0.03
Shebanova 2002   21  0.0453  0.0026  0.0726  0.2166  0.0127  0.05
Smith 1975   11  0.0722  0.0111  0.0917  0.3565  0.0212  0.08
Sztompka 1959   1  0.121  0.341  0.331  0.6065  0.023  0.11
Tanyel 1992   57  -0.0551  0.0064  0.0261  0.0266  0.0164  0.01
Tsujii 2005   35  0.0259  0.0043  0.0445  0.0466  0.0154  0.02
Uninsky 1959   50  -0.0239  0.0046  0.0639  0.0666  0.0145  0.02
Vardi 1988   61  -0.0660  0.0057  0.0359  0.0366  0.0147  0.02
Wasowski 1980   47  -0.0241  0.0039  0.0449  0.0466  0.0139  0.02
Zimerman 1975   3  0.108  0.035  0.203  0.5665  0.032  0.13
Random 1   60  -0.063  0.097  0.1312  0.3615  0.241  0.29
Random 2   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Random 3   45  -0.014  0.066  0.146  0.4266  0.0120  0.06

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).