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  -0.2350  0.0077  0.0280  0.0291  0.0185  0.01
Anderszewski 2003   25  -0.095  0.0510  0.0913  0.4689  0.0211  0.10
Ashkenazy 1981   15  -0.0417  0.019  0.1120  0.3889  0.0215  0.09
Bacha 2000   7  0.0014  0.0113  0.119  0.4889  0.028  0.10
Badura 1965   27  -0.0910  0.0233  0.0818  0.3891  0.0128  0.06
Barbosa 1983   10  -0.016  0.037  0.105  0.5786  0.025  0.11
Biret 1990   48  -0.1672  0.0052  0.0550  0.0591  0.0170  0.02
Blet 2003   66  -0.2133  0.0055  0.0554  0.0591  0.0163  0.02
Block 1995   11  -0.0235  0.008  0.1121  0.3789  0.0213  0.09
Blumental 1952   62  -0.1980  0.0044  0.0444  0.0990  0.0148  0.03
Boshniakovich 1969   31  -0.1132  0.0037  0.0636  0.1891  0.0141  0.04
Brailowsky 1960   26  -0.0925  0.0030  0.0626  0.3089  0.0217  0.08
Bunin 1987   5  0.0611  0.025  0.157  0.5489  0.0126  0.07
Bunin 1987b   6  0.0616  0.016  0.158  0.5389  0.0125  0.07
Chiu 1999   20  -0.0824  0.0011  0.116  0.5488  0.029  0.10
Cohen 1997   33  -0.117  0.0315  0.1022  0.3688  0.0220  0.08
Cortot 1951   34  -0.1139  0.0041  0.0539  0.1590  0.0142  0.04
Csalog 1996   28  -0.0912  0.0217  0.1125  0.3289  0.0219  0.08
Czerny 1949   65  -0.2077  0.0076  0.0274  0.0291  0.0184  0.01
Czerny 1990   61  -0.1989  0.0072  0.0372  0.0391  0.0169  0.02
Duchoud 2007   2  0.112  0.162  0.214  0.5984  0.026  0.11
Ezaki 2006   46  -0.1564  0.0035  0.0732  0.2589  0.0130  0.05
Falvay 1989   14  -0.0413  0.0116  0.1012  0.4675  0.034  0.12
Farrell 1958   43  -0.1536  0.0058  0.0551  0.0590  0.0155  0.02
Ferenczy 1958   44  -0.1541  0.0049  0.0465  0.0489  0.0246  0.03
Fliere 1977   81  -0.2561  0.0080  0.0371  0.0391  0.0149  0.02
Fou 1978   30  -0.1118  0.0139  0.0542  0.1490  0.0137  0.04
Francois 1956   18  -0.0653  0.0023  0.0624  0.3289  0.0221  0.08
Friedman 1923   82  -0.2590  0.0086  0.0284  0.0291  0.0191  0.01
Friedman 1923b   86  -0.2691  0.0087  0.0288  0.0291  0.0187  0.01
Friedman 1930   77  -0.2478  0.0078  0.0279  0.0291  0.0182  0.01
Garcia 2007   58  -0.1955  0.0062  0.0457  0.0491  0.0166  0.02
Garcia 2007b   51  -0.1768  0.0056  0.0459  0.0491  0.0173  0.02
Gierzod 1998   84  -0.2546  0.0082  0.0282  0.0291  0.0186  0.01
Gornostaeva 1994   16  -0.0630  0.0027  0.0631  0.2589  0.0227  0.07
Groot 1988   9  0.0015  0.0114  0.1114  0.4589  0.0216  0.09
Harasiewicz 1955   37  -0.1321  0.0121  0.0919  0.3889  0.0129  0.06
Hatto 1993   87  -0.2837  0.0091  0.0191  0.0191  0.0188  0.01
Hatto 1997   88  -0.2845  0.0089  0.0287  0.0291  0.0183  0.01
Horowitz 1949   41  -0.1462  0.0046  0.0647  0.0691  0.0157  0.02
Indjic 1988   89  -0.2869  0.0090  0.0190  0.0191  0.0178  0.01
Kapell 1951   59  -0.1947  0.0048  0.0548  0.0590  0.0156  0.02
Kissin 1993   83  -0.2556  0.0083  0.0369  0.0391  0.0160  0.02
Kushner 1989   55  -0.1873  0.0061  0.0646  0.0690  0.0244  0.03
Luisada 1991   71  -0.2365  0.0075  0.0275  0.0290  0.0174  0.01
Lushtak 2004   47  -0.1684  0.0038  0.0538  0.1589  0.0235  0.05
Malcuzynski 1961   23  -0.0888  0.0036  0.0837  0.1790  0.0139  0.04
Magaloff 1978   79  -0.2585  0.0085  0.0373  0.0391  0.0152  0.02
Magin 1975   22  -0.0871  0.0026  0.0623  0.3589  0.0218  0.08
Michalowski 1933   19  -0.0619  0.0132  0.1027  0.2990  0.0134  0.05
Milkina 1970   40  -0.1451  0.0028  0.0735  0.2189  0.0132  0.05
Mohovich 1999   21  -0.0881  0.0019  0.0915  0.4289  0.0214  0.09
Moravec 1969   32  -0.1122  0.0129  0.0733  0.2290  0.0131  0.05
Morozova 2008   80  -0.2582  0.0079  0.0285  0.0291  0.0180  0.01
Neighaus 1950   35  -0.1379  0.0025  0.0634  0.2190  0.0136  0.05
Niedzielski 1931   67  -0.2142  0.0084  0.0281  0.0291  0.0177  0.01
Ohlsson 1999   12  -0.0334  0.0018  0.0911  0.4790  0.0210  0.10
Osinska 1989   73  -0.2386  0.0074  0.0283  0.0289  0.0175  0.01
Pachmann 1927   36  -0.1328  0.0024  0.0628  0.2990  0.0133  0.05
Paderewski 1930   64  -0.2027  0.0067  0.0464  0.0490  0.0158  0.02
Perlemuter 1992   60  -0.1926  0.0065  0.0455  0.0491  0.0150  0.02
Pierdomenico 2008   8  0.0031  0.0022  0.0817  0.3889  0.0212  0.09
Poblocka 1999   69  -0.2363  0.0047  0.0458  0.0491  0.0151  0.02
Rabcewiczowa 1932   70  -0.2344  0.0063  0.0461  0.0491  0.0154  0.02
Rachmaninoff 1923   76  -0.2357  0.0071  0.0278  0.0291  0.0176  0.01
Rangell 2001   4  0.083  0.123  0.293  0.5987  0.027  0.11
Richter 1976   53  -0.1729  0.0045  0.0445  0.0791  0.0145  0.03
Rosen 1989   50  -0.1666  0.0051  0.0553  0.0590  0.0168  0.02
Rosenthal 1930   85  -0.2667  0.0068  0.0370  0.0391  0.0167  0.02
Rosenthal 1931   74  -0.2374  0.0069  0.0467  0.0491  0.0162  0.02
Rosenthal 1931b   78  -0.2470  0.0070  0.0276  0.0291  0.0189  0.01
Rosenthal 1931c   90  -0.2958  0.0088  0.0289  0.0291  0.0190  0.01
Rosenthal 1931d   68  -0.2287  0.0064  0.0456  0.0491  0.0171  0.02
Rossi 2007   39  -0.1440  0.0050  0.0460  0.0489  0.0243  0.03
Rubinstein 1939   72  -0.2349  0.0066  0.0468  0.0490  0.0153  0.02
Rubinstein 1952   45  -0.1554  0.0054  0.0552  0.0591  0.0172  0.02
Rubinstein 1966   54  -0.1859  0.0059  0.0462  0.0489  0.0164  0.02
Schilhawsky 1960   91  -0.2943  0.0081  0.0286  0.0291  0.0179  0.01
Shebanova 2002   52  -0.1748  0.0057  0.0466  0.0490  0.0165  0.02
Smith 1975   17  -0.0638  0.0031  0.0829  0.2889  0.0224  0.07
Sokolov 2002   13  -0.0320  0.0112  0.1210  0.4890  0.0123  0.07
Sztompka 1959   56  -0.1860  0.0060  0.0463  0.0490  0.0159  0.02
Tomsic 1995   3  0.109  0.024  0.182  0.6282  0.033  0.14
Uninsky 1932   57  -0.188  0.0340  0.0643  0.1091  0.0147  0.03
Uninsky 1971   49  -0.1623  0.0053  0.0549  0.0591  0.0161  0.02
Wasowski 1980   29  -0.1175  0.0034  0.0830  0.2589  0.0222  0.07
Zak 1937   42  -0.1476  0.0043  0.0541  0.1491  0.0138  0.04
Zak 1951   38  -0.1452  0.0042  0.0640  0.1591  0.0140  0.04
Average   63  -0.2083  0.0073  0.0277  0.0291  0.0181  0.01
Random 1   1  0.121  0.301  0.291  0.661  0.601  0.63
Random 2   24  -0.094  0.0720  0.0916  0.3920  0.292  0.34
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).