Random 3

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Afanassiev 2001   75  -0.1177  0.0040  0.0544  0.0890  0.0237  0.04
Anderszewski 2003   9  0.0614  0.028  0.158  0.4786  0.029  0.10
Ashkenazy 1981   3  0.144  0.082  0.182  0.6586  0.032  0.14
Bacha 2000   2  0.157  0.036  0.137  0.5187  0.033  0.12
Badura 1965   55  -0.055  0.0417  0.0916  0.3390  0.0128  0.06
Barbosa 1983   57  -0.056  0.0314  0.0814  0.3790  0.0127  0.06
Biret 1990   32  -0.0168  0.0048  0.0463  0.0489  0.0260  0.03
Blet 2003   65  -0.0955  0.0067  0.0370  0.0390  0.0166  0.02
Block 1995   13  0.0226  0.0013  0.1422  0.2689  0.0221  0.07
Blumental 1952   42  -0.0352  0.0023  0.0525  0.2589  0.0222  0.07
Boshniakovich 1969   53  -0.0569  0.0068  0.0467  0.0491  0.0170  0.02
Brailowsky 1960   36  -0.0262  0.0062  0.0559  0.0590  0.0245  0.03
Bunin 1987   21  0.0031  0.0033  0.0530  0.2091  0.0138  0.04
Bunin 1987b   22  0.0025  0.0034  0.0632  0.1991  0.0134  0.04
Chiu 1999   40  -0.0315  0.0215  0.1012  0.4290  0.0212  0.09
Cohen 1997   6  0.0811  0.029  0.1410  0.4584  0.036  0.12
Cortot 1951   33  -0.0137  0.0029  0.0631  0.2089  0.0141  0.04
Csalog 1996   37  -0.0243  0.0060  0.0557  0.0591  0.0165  0.02
Czerny 1949   80  -0.1241  0.0059  0.0558  0.0590  0.0257  0.03
Czerny 1990   68  -0.0988  0.0070  0.0372  0.0389  0.0271  0.02
Duchoud 2007   1  0.151  0.311  0.301  0.7086  0.025  0.12
Ezaki 2006   48  -0.0412  0.0216  0.0917  0.3389  0.0217  0.08
Falvay 1989   46  -0.0318  0.0135  0.0533  0.1989  0.0226  0.06
Farrell 1958   39  -0.0249  0.0072  0.0371  0.0390  0.0162  0.02
Ferenczy 1958   44  -0.0329  0.0044  0.0443  0.0888  0.0235  0.04
Fliere 1977   86  -0.1490  0.0088  0.0288  0.0291  0.0173  0.01
Fou 1978   43  -0.0372  0.0039  0.0540  0.1190  0.0148  0.03
Francois 1956   59  -0.0627  0.0025  0.0524  0.2590  0.0224  0.07
Friedman 1923   17  0.0122  0.0119  0.0720  0.2787  0.0225  0.07
Friedman 1923b   23  0.0083  0.0027  0.0728  0.2385  0.0223  0.07
Friedman 1930   38  -0.0234  0.0026  0.0521  0.2788  0.0220  0.07
Garcia 2007   63  -0.0871  0.0054  0.0464  0.0491  0.0168  0.02
Garcia 2007b   14  0.0116  0.0210  0.1419  0.2990  0.0132  0.05
Gierzod 1998   26  0.0021  0.0146  0.0552  0.0590  0.0258  0.03
Gornostaeva 1994   15  0.0170  0.0020  0.0615  0.3789  0.0216  0.09
Groot 1988   47  -0.0379  0.0036  0.0534  0.1689  0.0139  0.04
Harasiewicz 1955   81  -0.1278  0.0065  0.0465  0.0489  0.0172  0.02
Hatto 1993   20  0.0036  0.0043  0.0541  0.1190  0.0161  0.03
Hatto 1997   25  0.0050  0.0056  0.0548  0.0590  0.0255  0.03
Horowitz 1949   69  -0.0964  0.0076  0.0283  0.0291  0.0181  0.01
Indjic 1988   24  0.0057  0.0055  0.0647  0.0690  0.0164  0.02
Kapell 1951   54  -0.0544  0.0049  0.0554  0.0589  0.0249  0.03
Kissin 1993   78  -0.1242  0.0082  0.0281  0.0291  0.0184  0.01
Kushner 1989   29  -0.0145  0.0031  0.0527  0.2389  0.0219  0.07
Luisada 1991   31  -0.0124  0.0142  0.0542  0.1090  0.0233  0.04
Lushtak 2004   45  -0.0385  0.0063  0.0550  0.0589  0.0259  0.03
Malcuzynski 1961   19  0.0053  0.0052  0.0555  0.0589  0.0251  0.03
Magaloff 1978   64  -0.0932  0.0075  0.0275  0.0291  0.0175  0.01
Magin 1975   11  0.0628  0.0011  0.0911  0.4489  0.0214  0.09
Michalowski 1933   10  0.063  0.084  0.155  0.5287  0.028  0.10
Milkina 1970   30  -0.0147  0.0045  0.0445  0.0790  0.0150  0.03
Mohovich 1999   51  -0.0589  0.0030  0.0529  0.2089  0.0229  0.06
Moravec 1969   41  -0.0386  0.0047  0.0466  0.0489  0.0242  0.03
Morozova 2008   77  -0.1156  0.0069  0.0369  0.0390  0.0167  0.02
Neighaus 1950   34  -0.0146  0.0037  0.0837  0.1590  0.0140  0.04
Niedzielski 1931   85  -0.1476  0.0091  0.0191  0.0191  0.0178  0.01
Ohlsson 1999   4  0.1117  0.017  0.183  0.6089  0.027  0.11
Osinska 1989   66  -0.0980  0.0066  0.0549  0.0589  0.0244  0.03
Pachmann 1927   82  -0.1310  0.0277  0.0282  0.0291  0.0183  0.01
Paderewski 1930   56  -0.0582  0.0061  0.0556  0.0590  0.0252  0.03
Perlemuter 1992   87  -0.1587  0.0081  0.0274  0.0291  0.0174  0.01
Pierdomenico 2008   28  0.008  0.0224  0.0526  0.2589  0.0218  0.07
Poblocka 1999   49  -0.0460  0.0057  0.0646  0.0690  0.0246  0.03
Rabcewiczowa 1932   61  -0.0865  0.0051  0.0461  0.0490  0.0247  0.03
Rachmaninoff 1923   90  -0.1763  0.0079  0.0286  0.0291  0.0176  0.01
Rangell 2001   5  0.1013  0.025  0.164  0.5289  0.0211  0.10
Richter 1976   79  -0.1240  0.0087  0.0284  0.0291  0.0182  0.01
Rosen 1989   8  0.0774  0.0012  0.119  0.4688  0.0210  0.10
Rosenthal 1930   70  -0.1023  0.0164  0.0462  0.0491  0.0169  0.02
Rosenthal 1931   76  -0.1148  0.0085  0.0279  0.0291  0.0185  0.01
Rosenthal 1931b   74  -0.1058  0.0086  0.0280  0.0291  0.0189  0.01
Rosenthal 1931c   71  -0.1039  0.0084  0.0277  0.0291  0.0190  0.01
Rosenthal 1931d   73  -0.1075  0.0074  0.0276  0.0291  0.0188  0.01
Rossi 2007   84  -0.1419  0.0138  0.0538  0.1489  0.0231  0.05
Rubinstein 1939   83  -0.1384  0.0089  0.0189  0.0191  0.0177  0.01
Rubinstein 1952   72  -0.1051  0.0083  0.0278  0.0291  0.0191  0.01
Rubinstein 1966   62  -0.0833  0.0073  0.0273  0.0290  0.0186  0.01
Schilhawsky 1960   88  -0.1673  0.0090  0.0190  0.0191  0.0187  0.01
Shebanova 2002   18  0.0059  0.0032  0.0536  0.1590  0.0136  0.04
Smith 1975   27  0.0066  0.0021  0.0723  0.2685  0.0313  0.09
Sokolov 2002   16  0.0130  0.0022  0.0818  0.2989  0.0130  0.05
Sztompka 1959   50  -0.0538  0.0058  0.0553  0.0589  0.0253  0.03
Tomsic 1995   12  0.0520  0.0118  0.0813  0.4088  0.0215  0.09
Uninsky 1932   67  -0.0954  0.0041  0.0439  0.1191  0.0156  0.03
Uninsky 1971   60  -0.0767  0.0050  0.0460  0.0491  0.0163  0.02
Wasowski 1980   35  -0.0235  0.0053  0.0551  0.0589  0.0243  0.03
Zak 1937   89  -0.1781  0.0080  0.0285  0.0291  0.0179  0.01
Zak 1951   91  -0.1761  0.0078  0.0287  0.0291  0.0180  0.01
Average   58  -0.0691  0.0071  0.0468  0.0490  0.0254  0.03
Random 1   7  0.072  0.113  0.156  0.523  0.571  0.54
Random 2   52  -0.059  0.0228  0.0635  0.1642  0.094  0.12
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).