Random 3

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Ashkenazy 1981   53  -0.0415  0.0167  0.0167  0.0167  0.0166  0.01
Ax 1995   3  0.0611  0.0215  0.0919  0.3765  0.0220  0.09
Bacha 1998   13  0.028  0.0324  0.0628  0.1365  0.0229  0.05
Barbosa 1983   9  0.0345  0.0023  0.0623  0.2166  0.0226  0.06
BenOr 1989   22  0.0047  0.0026  0.0626  0.1566  0.0232  0.05
Biret 1990   59  -0.0427  0.0063  0.0358  0.0367  0.0162  0.02
Brailowsky 1960   35  -0.0138  0.0033  0.0533  0.0959  0.0424  0.06
Chiu 1999   48  -0.0350  0.0052  0.0352  0.0366  0.0252  0.02
Clidat 1994   17  0.013  0.078  0.1115  0.3865  0.0219  0.09
Cohen 1997   33  -0.0124  0.0041  0.0437  0.0465  0.0243  0.03
Cortot 1951   51  -0.0342  0.0040  0.0441  0.0466  0.0245  0.03
Csalog 1996   15  0.0143  0.0014  0.0910  0.4466  0.0215  0.09
Czerny 1989   11  0.0330  0.0016  0.1216  0.3766  0.0214  0.09
Ezaki 2006   46  -0.0367  0.0053  0.0346  0.0367  0.0148  0.02
Falvay 1989   60  -0.0455  0.0061  0.0359  0.0367  0.0153  0.02
Fiorentino 1962   25  0.0053  0.0030  0.0529  0.1365  0.0327  0.06
Fliere 1977   37  -0.0260  0.0043  0.0442  0.0464  0.0235  0.03
Fou 1978   24  0.0065  0.0036  0.0536  0.0566  0.0237  0.03
Francois 1956   54  -0.0441  0.0035  0.0440  0.0447  0.0534  0.04
Goldenweiser 1946   57  -0.0428  0.0057  0.0350  0.0365  0.0251  0.02
Gornostaeva 1994   23  0.0046  0.0051  0.0444  0.0461  0.0344  0.03
Groot 1988   36  -0.0154  0.0027  0.0624  0.1765  0.0228  0.06
Hatto 1993   43  -0.0266  0.0055  0.0348  0.0367  0.0163  0.02
Hatto 1997   61  -0.0563  0.0059  0.0264  0.0267  0.0165  0.01
Horszowski 1983   16  0.0134  0.0018  0.1217  0.3765  0.0212  0.09
Indjic 2001   50  -0.0358  0.0054  0.0445  0.0466  0.0242  0.03
Katin 1996   26  0.005  0.043  0.136  0.5064  0.037  0.12
Kiepura 1999   65  -0.0740  0.0064  0.0360  0.0364  0.0249  0.02
Korecka 1992   42  -0.0221  0.0050  0.0351  0.0361  0.0338  0.03
Kushner 1990   6  0.059  0.037  0.105  0.5163  0.038  0.12
Lilamand 2001   12  0.0235  0.0011  0.109  0.4563  0.0217  0.09
Luisada 1990   30  0.0051  0.0028  0.0530  0.1167  0.0139  0.03
Luisada 2008   1  0.097  0.0410  0.137  0.4960  0.044  0.14
Lushtak 2004   52  -0.0362  0.0046  0.0355  0.0367  0.0158  0.02
Malcuzynski 1951   19  0.006  0.0420  0.1220  0.3056  0.0410  0.11
Malcuzynski 1961   7  0.0417  0.014  0.123  0.5465  0.035  0.13
Magaloff 1977   18  0.0059  0.0039  0.0443  0.0467  0.0156  0.02
Magin 1975   14  0.0214  0.026  0.144  0.5166  0.0211  0.10
Meguri 1997   31  -0.0139  0.0029  0.0527  0.1461  0.0325  0.06
Milkina 1970   41  -0.0244  0.0032  0.0532  0.1066  0.0233  0.04
Mohovich 1999   49  -0.0352  0.0047  0.0353  0.0366  0.0261  0.02
Nezu 2005   29  0.0029  0.0017  0.1318  0.3764  0.039  0.11
Ohlsson 1999   5  0.052  0.102  0.212  0.5861  0.043  0.15
Olejniczak 1990   55  -0.0416  0.0137  0.0535  0.0565  0.0246  0.03
Osinska 1989   39  -0.0213  0.0231  0.0531  0.1164  0.0323  0.06
Perlemuter 1992   32  -0.0120  0.0142  0.0438  0.0462  0.0236  0.03
Poblocka 1999   28  0.0018  0.0121  0.1021  0.3065  0.0221  0.08
Rangell 2001   67  -0.1064  0.0066  0.0266  0.0267  0.0167  0.01
Richter 1960   58  -0.0437  0.0045  0.0354  0.0365  0.0255  0.02
Richter 1961   64  -0.0656  0.0065  0.0265  0.0267  0.0164  0.01
Rosen 1989   62  -0.0549  0.0048  0.0356  0.0360  0.0341  0.03
Rubinstein 1939   20  0.0010  0.035  0.1013  0.4165  0.0213  0.09
Rubinstein 1952   40  -0.0248  0.0034  0.0534  0.0566  0.0247  0.03
Rubinstein 1966   27  0.0031  0.0012  0.0811  0.4466  0.0216  0.09
Rudanovskaya 2007   63  -0.0636  0.0060  0.0263  0.0265  0.0257  0.02
Shebanova 2002   34  -0.0126  0.0022  0.1022  0.2665  0.0222  0.07
Smith 1975   8  0.034  0.069  0.1312  0.4357  0.052  0.15
Sztompka 1959   44  -0.0322  0.0062  0.0361  0.0364  0.0254  0.02
Tanyel 1992   45  -0.0332  0.0049  0.0349  0.0362  0.0440  0.03
Tsujii 2005   56  -0.0433  0.0056  0.0357  0.0367  0.0159  0.02
Uninsky 1959   2  0.061  0.351  0.351  0.6653  0.051  0.18
Vardi 1988   4  0.0625  0.0013  0.098  0.4763  0.036  0.12
Wasowski 1980   47  -0.0357  0.0058  0.0262  0.0264  0.0250  0.02
Zimerman 1975   21  0.0019  0.0125  0.0625  0.1564  0.0231  0.05
Average   38  -0.0261  0.0019  0.1414  0.3966  0.0218  0.09
Random 1   66  -0.0712  0.0244  0.0347  0.0367  0.0160  0.02
Random 2   10  0.0323  0.0038  0.0439  0.0435  0.0730  0.05
Random 3   target  targettarget  targettarget  targettarget  targettarget  targettarget  target

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).