Random 2

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Afanassiev 2001   2  0.1634  0.0016  0.0817  0.2355  0.0417  0.10
Ashkenazy 1981   12  0.1035  0.0013  0.076  0.3761  0.048  0.12
Beliavsky 2004   62  -0.0323  0.0062  0.0357  0.0359  0.0454  0.03
BenOr 1989   54  0.0140  0.0061  0.0260  0.0263  0.0366  0.02
Biret 1990   4  0.1414  0.0115  0.0816  0.2358  0.0419  0.10
Blet 2003   22  0.0913  0.0124  0.0613  0.2561  0.0415  0.10
Block 1995   41  0.0620  0.0147  0.0536  0.0563  0.0447  0.04
Brailowsky 1960   64  -0.0452  0.0065  0.0263  0.0264  0.0361  0.02
Chiu 1999   16  0.1010  0.025  0.127  0.3563  0.046  0.12
Clidat 1994   58  0.0063  0.0054  0.0356  0.0364  0.0356  0.03
Cohen 1997   1  0.241  0.231  0.221  0.4960  0.042  0.14
Coop 1987   25  0.0855  0.0021  0.0519  0.2263  0.0421  0.09
Cortot 1951   51  0.0216  0.0157  0.0355  0.0363  0.0359  0.03
Czerny 1949   61  -0.0264  0.0048  0.0449  0.0464  0.0445  0.04
Czerny 1949b   60  -0.0262  0.0049  0.0439  0.0462  0.0440  0.04
Ezaki 2006   29  0.0739  0.0037  0.0441  0.0461  0.0434  0.04
Falvay 1989   35  0.0747  0.0044  0.0447  0.0464  0.0350  0.03
Ferenczy 1958   19  0.1032  0.0036  0.0440  0.0463  0.0443  0.04
Fiorentino 1962   24  0.0933  0.008  0.129  0.3062  0.0412  0.11
Fliere 1977   37  0.0656  0.0043  0.0448  0.0463  0.0436  0.04
Fou 1978   48  0.0457  0.0053  0.0358  0.0364  0.0352  0.03
Francois 1956   63  -0.0430  0.0059  0.0351  0.0362  0.0360  0.03
Hatto 1997   8  0.1159  0.0012  0.0512  0.2664  0.0416  0.10
Horowitz 1971   15  0.1048  0.0025  0.0526  0.1463  0.0430  0.07
Horowitz 1985   5  0.1212  0.0114  0.0620  0.2062  0.0420  0.09
Indjic 2001   6  0.1246  0.0010  0.0611  0.2864  0.0411  0.11
Kapell 1951   53  0.0158  0.0050  0.0450  0.0463  0.0353  0.03
Kiepura 1999   17  0.105  0.047  0.103  0.4162  0.043  0.13
Kilenyi 1937   32  0.0737  0.0011  0.0610  0.2961  0.049  0.11
Kissin 1993   9  0.1143  0.0023  0.0515  0.2362  0.0414  0.10
Kitain 1937   65  -0.0621  0.0163  0.0265  0.0263  0.0457  0.03
Kushner 1990   28  0.0719  0.0131  0.0530  0.1059  0.0432  0.06
Levy 1951   56  0.0038  0.0064  0.0264  0.0258  0.0362  0.02
Luisada 1990   45  0.0428  0.0030  0.0628  0.1359  0.0429  0.07
Lushtak 2004   31  0.0754  0.0038  0.0443  0.0461  0.0446  0.04
Lympany 1968   10  0.1122  0.0033  0.0533  0.0559  0.0435  0.04
Magaloff 1977   36  0.0649  0.0026  0.0721  0.1963  0.0422  0.09
Magaloff 1977b   39  0.0651  0.0027  0.0523  0.1863  0.0426  0.08
Magin 1975   27  0.0850  0.0029  0.0625  0.1663  0.0423  0.08
Milkina 1970   26  0.0844  0.0017  0.0924  0.1760  0.0424  0.08
Mohovich 1999   47  0.0415  0.0132  0.0531  0.1059  0.0433  0.06
Nadelmann 1956   46  0.0431  0.0052  0.0354  0.0361  0.0455  0.03
Ohlsson 1999   20  0.102  0.203  0.265  0.3862  0.047  0.12
Olejniczac 1990   23  0.099  0.036  0.128  0.3161  0.0410  0.11
Olejniczak 1991   14  0.1027  0.0022  0.0718  0.2363  0.0413  0.10
Osinska 1989   33  0.0729  0.0039  0.0537  0.0558  0.0437  0.04
Paderewski 1912   40  0.0626  0.0020  0.0422  0.1859  0.0425  0.08
Perahia 1994   57  0.0036  0.0055  0.0259  0.0264  0.0365  0.02
Perlemuter 1986   55  0.0060  0.0042  0.0445  0.0463  0.0441  0.04
Poblocka 1999   49  0.0366  0.0046  0.0534  0.0561  0.0438  0.04
Rangell 2001   38  0.0641  0.0045  0.0444  0.0462  0.0358  0.03
Risler 1920   42  0.0511  0.0135  0.0446  0.0463  0.0349  0.03
Rosen 1989   18  0.108  0.039  0.0914  0.2462  0.0418  0.10
Rubinstein 1939   43  0.0542  0.0056  0.0353  0.0360  0.0451  0.03
Rubinstein 1952   3  0.143  0.172  0.252  0.4549  0.045  0.13
Rubinstein 1966   13  0.1024  0.0018  0.0727  0.1357  0.0428  0.07
Rummel 1943   66  -0.0853  0.0058  0.0261  0.0262  0.0364  0.02
Shebanova 2002   21  0.0925  0.0034  0.0442  0.0462  0.0444  0.04
Smith 1975   34  0.0717  0.0141  0.0438  0.0464  0.0439  0.04
Szpilman 1948   44  0.0445  0.0051  0.0352  0.0361  0.0448  0.03
Uninsky 1971   59  -0.0165  0.0060  0.0262  0.0264  0.0363  0.02
Wasowski 1980   50  0.0218  0.0128  0.0529  0.1358  0.0427  0.07
Weissenberg 1971   11  0.104  0.054  0.124  0.4061  0.044  0.13
Average   30  0.0761  0.0040  0.0535  0.0564  0.0442  0.04
Random 1    52  0.017  0.0366  0.0166  0.0110  0.3531  0.06
Random 2   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Random 3   7  0.126  0.0419  0.0532  0.091  0.731  0.26

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).