Random 3

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Afanassiev 2001   69  -0.0743  0.0062  0.0455  0.0491  0.0163  0.02
Anderszewski 2003   43  -0.0453  0.0035  0.0526  0.2691  0.0131  0.05
Ashkenazy 1981   61  -0.0630  0.0077  0.0282  0.0291  0.0186  0.01
Bacha 2000   71  -0.0838  0.0067  0.0360  0.0390  0.0146  0.02
Badura 1965   77  -0.0821  0.0055  0.0371  0.0390  0.0166  0.02
Barbosa 1983   57  -0.0677  0.0037  0.0633  0.2091  0.0140  0.04
Biret 1990   36  -0.0339  0.0048  0.0549  0.0591  0.0173  0.02
Blet 2003   15  0.0024  0.0044  0.0543  0.1190  0.0145  0.03
Block 1995   54  -0.0671  0.0063  0.0452  0.0491  0.0167  0.02
Blumental 1952   82  -0.0964  0.0068  0.0361  0.0391  0.0169  0.02
Boshniakovich 1969   31  -0.0317  0.0130  0.0825  0.2789  0.0217  0.07
Brailowsky 1960   70  -0.0737  0.0032  0.0437  0.1889  0.0222  0.06
Bunin 1987   73  -0.0887  0.0073  0.0277  0.0291  0.0187  0.01
Bunin 1987b   67  -0.0765  0.0066  0.0366  0.0391  0.0155  0.02
Chiu 1999   30  -0.0252  0.0039  0.0542  0.1391  0.0137  0.04
Cohen 1997   20  -0.0118  0.0120  0.0720  0.3291  0.0129  0.06
Cortot 1951   1  0.051  0.181  0.181  0.7169  0.043  0.17
Csalog 1996   56  -0.0629  0.0065  0.0363  0.0390  0.0158  0.02
Czerny 1949   3  0.044  0.122  0.222  0.6887  0.024  0.12
Czerny 1990   35  -0.0379  0.0050  0.0546  0.0590  0.0171  0.02
Duchoud 2007   14  0.0014  0.0152  0.0548  0.0590  0.0164  0.02
Ezaki 2006   40  -0.0425  0.0021  0.0815  0.3791  0.0119  0.06
Falvay 1989   89  -0.1242  0.0087  0.0281  0.0291  0.0178  0.01
Farrell 1958   63  -0.0726  0.0045  0.0545  0.1091  0.0143  0.03
Ferenczy 1958   86  -0.1170  0.0061  0.0454  0.0490  0.0161  0.02
Fliere 1977   11  0.0041  0.0023  0.0731  0.2190  0.0220  0.06
Fou 1978   21  -0.0160  0.0022  0.0734  0.2089  0.0225  0.06
Francois 1956   17  -0.0119  0.0112  0.0712  0.4290  0.0211  0.09
Friedman 1923   90  -0.1284  0.0091  0.0191  0.0191  0.0191  0.01
Friedman 1923b   87  -0.1168  0.0090  0.0190  0.0191  0.0188  0.01
Friedman 1930   51  -0.0559  0.0078  0.0279  0.0291  0.0184  0.01
Garcia 2007   48  -0.0544  0.0058  0.0364  0.0391  0.0165  0.02
Garcia 2007b   37  -0.0334  0.0054  0.0356  0.0390  0.0176  0.02
Gierzod 1998   13  0.0081  0.0017  0.1111  0.4290  0.0210  0.09
Gornostaeva 1994   49  -0.0545  0.0031  0.0528  0.2391  0.0134  0.05
Groot 1988   44  -0.0462  0.0082  0.0367  0.0391  0.0174  0.02
Harasiewicz 1955   58  -0.0661  0.0034  0.0532  0.2190  0.0136  0.05
Hatto 1993   75  -0.0876  0.0080  0.0286  0.0291  0.0190  0.01
Hatto 1997   76  -0.0890  0.0075  0.0373  0.0391  0.0160  0.02
Horowitz 1949   85  -0.1082  0.0089  0.0289  0.0291  0.0180  0.01
Indjic 1988   66  -0.0774  0.0081  0.0358  0.0391  0.0157  0.02
Kapell 1951   33  -0.0315  0.0127  0.0721  0.3190  0.0126  0.06
Kissin 1993   47  -0.0583  0.0043  0.0544  0.1191  0.0144  0.03
Kushner 1989   32  -0.0323  0.0051  0.0453  0.0490  0.0153  0.02
Luisada 1991   79  -0.0956  0.0069  0.0369  0.0391  0.0147  0.02
Lushtak 2004   59  -0.0610  0.0141  0.0539  0.1590  0.0141  0.04
Malcuzynski 1961   10  0.0050  0.009  0.146  0.5089  0.0115  0.07
Magaloff 1978   19  -0.0166  0.0016  0.0816  0.3689  0.0124  0.06
Magin 1975   34  -0.0328  0.0042  0.0641  0.1490  0.0138  0.04
Michalowski 1933   62  -0.0669  0.0079  0.0284  0.0291  0.0181  0.01
Milkina 1970   81  -0.0933  0.0074  0.0375  0.0391  0.0154  0.02
Mohovich 1999   50  -0.0532  0.0059  0.0362  0.0390  0.0170  0.02
Moravec 1969   88  -0.1248  0.0088  0.0287  0.0291  0.0177  0.01
Morozova 2008   41  -0.0454  0.0028  0.0624  0.2790  0.0133  0.05
Neighaus 1950   52  -0.0558  0.0040  0.0540  0.1490  0.0235  0.05
Niedzielski 1931   55  -0.0672  0.0072  0.0370  0.0391  0.0151  0.02
Ohlsson 1999   23  -0.0131  0.0018  0.0922  0.3089  0.0213  0.08
Osinska 1989   45  -0.0475  0.0024  0.0618  0.3390  0.0121  0.06
Pachmann 1927   42  -0.0412  0.0126  0.0727  0.2489  0.0216  0.07
Paderewski 1930   22  -0.0151  0.0029  0.0823  0.3090  0.0130  0.05
Perlemuter 1992   4  0.012  0.173  0.253  0.5489  0.026  0.10
Pierdomenico 2008   9  0.0022  0.0011  0.0713  0.4289  0.028  0.09
Poblocka 1999   84  -0.1063  0.0064  0.0365  0.0391  0.0148  0.02
Rabcewiczowa 1932   28  -0.0235  0.0047  0.0547  0.0591  0.0152  0.02
Rachmaninoff 1923   24  -0.0136  0.0046  0.0550  0.0591  0.0149  0.02
Rangell 2001   60  -0.0640  0.0057  0.0372  0.0390  0.0172  0.02
Richter 1976   12  0.007  0.037  0.1710  0.4389  0.029  0.09
Rosen 1989   64  -0.0749  0.0053  0.0357  0.0391  0.0168  0.02
Rosenthal 1930   18  -0.016  0.0413  0.0719  0.3291  0.0128  0.06
Rosenthal 1931   91  -0.1378  0.0086  0.0283  0.0291  0.0182  0.01
Rosenthal 1931b   74  -0.0873  0.0070  0.0376  0.0391  0.0175  0.02
Rosenthal 1931c   29  -0.0213  0.0114  0.1036  0.1891  0.0142  0.04
Rosenthal 1931d   83  -0.0985  0.0083  0.0280  0.0291  0.0189  0.01
Rossi 2007   7  0.005  0.075  0.127  0.4985  0.027  0.10
Rubinstein 1939   68  -0.0746  0.0056  0.0368  0.0391  0.0150  0.02
Rubinstein 1952   27  -0.0247  0.0036  0.0629  0.2390  0.0218  0.07
Rubinstein 1966   80  -0.0988  0.0071  0.0374  0.0390  0.0159  0.02
Schilhawsky 1960   46  -0.0527  0.0015  0.0830  0.2291  0.0132  0.05
Shebanova 2002   53  -0.0567  0.0076  0.0278  0.0291  0.0185  0.01
Smith 1975   5  0.019  0.026  0.154  0.5390  0.0114  0.07
Sokolov 2002   16  -0.0111  0.0110  0.1414  0.3891  0.0123  0.06
Sztompka 1959   25  -0.0186  0.0038  0.0538  0.1691  0.0139  0.04
Tomsic 1995   78  -0.0889  0.0085  0.0288  0.0291  0.0179  0.01
Uninsky 1932   39  -0.0457  0.0049  0.0551  0.0590  0.0162  0.02
Uninsky 1971   65  -0.0780  0.0060  0.0359  0.0391  0.0156  0.02
Wasowski 1980   8  0.0020  0.0019  0.109  0.4789  0.025  0.10
Zak 1937   38  -0.0355  0.0033  0.0535  0.2089  0.0227  0.06
Zak 1951   26  -0.0216  0.0125  0.0717  0.3589  0.0212  0.08
Average   72  -0.0891  0.0084  0.0285  0.0291  0.0183  0.01
Random 1   6  0.018  0.028  0.148  0.4820  0.382  0.43
Random 2   2  0.043  0.164  0.215  0.5315  0.401  0.46
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).