Random 3

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Afanassiev 2001   74  -0.0230  0.0048  0.0450  0.0490  0.0168  0.02
Anderszewski 2003   5  0.116  0.073  0.156  0.4783  0.028  0.10
Ashkenazy 1981   3  0.1378  0.0011  0.109  0.4188  0.0214  0.09
Bacha 2000   12  0.0842  0.0030  0.0827  0.2884  0.0224  0.07
Badura 1965   71  -0.0212  0.0217  0.0738  0.1790  0.0144  0.04
Barbosa 1983   86  -0.0648  0.0057  0.0366  0.0391  0.0162  0.02
Biret 1990   40  0.0282  0.0050  0.0547  0.0590  0.0172  0.02
Blet 2003   47  0.0273  0.0058  0.0367  0.0390  0.0165  0.02
Block 1995   35  0.0335  0.0047  0.0548  0.0589  0.0246  0.03
Blumental 1952   45  0.0231  0.0021  0.0715  0.3785  0.0213  0.09
Boshniakovich 1969   75  -0.0391  0.0079  0.0280  0.0291  0.0188  0.01
Brailowsky 1960   56  0.0068  0.0059  0.0358  0.0385  0.0248  0.02
Bunin 1987   83  -0.0538  0.0083  0.0278  0.0291  0.0189  0.01
Bunin 1987b   84  -0.0523  0.0182  0.0287  0.0291  0.0181  0.01
Chiu 1999   59  0.0079  0.0064  0.0364  0.0391  0.0150  0.02
Cohen 1997   1  0.151  0.171  0.167  0.4579  0.034  0.12
Cortot 1951   30  0.0369  0.0024  0.0719  0.3588  0.0133  0.06
Csalog 1996   65  -0.0139  0.0076  0.0373  0.0387  0.0264  0.02
Czerny 1949   24  0.053  0.095  0.123  0.5188  0.029  0.10
Czerny 1990   46  0.0233  0.0054  0.0359  0.0390  0.0270  0.02
Duchoud 2007   17  0.0722  0.0133  0.0731  0.2590  0.0139  0.05
Ezaki 2006   29  0.0417  0.0115  0.1012  0.4090  0.0211  0.09
Falvay 1989   69  -0.0149  0.0056  0.0355  0.0390  0.0251  0.02
Farrell 1958   63  0.0075  0.0080  0.0281  0.0291  0.0179  0.01
Ferenczy 1958   53  0.0019  0.0128  0.0729  0.2886  0.0226  0.07
Fliere 1977   79  -0.0374  0.0085  0.0284  0.0291  0.0177  0.01
Fou 1978   41  0.0263  0.0052  0.0354  0.0389  0.0154  0.02
Francois 1956   58  0.008  0.0413  0.0924  0.3290  0.0134  0.06
Friedman 1923   31  0.0350  0.0040  0.0542  0.1280  0.0335  0.06
Friedman 1923b   32  0.0332  0.0043  0.0443  0.1083  0.0341  0.05
Friedman 1930   20  0.0614  0.0222  0.0720  0.3585  0.0221  0.08
Garcia 2007   91  -0.1271  0.0086  0.0286  0.0291  0.0187  0.01
Garcia 2007b   37  0.0260  0.0063  0.0451  0.0491  0.0176  0.02
Gierzod 1998   6  0.1036  0.008  0.135  0.4989  0.0210  0.10
Gornostaeva 1994   25  0.0446  0.0031  0.0632  0.2490  0.0228  0.07
Groot 1988   82  -0.0483  0.0089  0.0189  0.0191  0.0190  0.01
Harasiewicz 1955   87  -0.0786  0.0077  0.0279  0.0290  0.0191  0.01
Hatto 1993   10  0.0943  0.0034  0.0725  0.2989  0.0223  0.08
Hatto 1997   7  0.1064  0.0026  0.0718  0.3689  0.0222  0.08
Horowitz 1949   68  -0.0129  0.0069  0.0277  0.0290  0.0183  0.01
Indjic 1988   9  0.0955  0.0035  0.0928  0.2889  0.0225  0.07
Kapell 1951   38  0.0224  0.0129  0.0834  0.2188  0.0231  0.06
Kissin 1993   57  0.0057  0.0055  0.0352  0.0390  0.0160  0.02
Kushner 1989   13  0.0865  0.0023  0.0723  0.3388  0.0219  0.08
Luisada 1991   15  0.0747  0.0025  0.0816  0.3689  0.0216  0.08
Lushtak 2004   27  0.0437  0.0036  0.0633  0.2489  0.0227  0.07
Malcuzynski 1961   34  0.0345  0.0051  0.0353  0.0390  0.0156  0.02
Magaloff 1978   33  0.0361  0.0045  0.0545  0.0989  0.0243  0.04
Magin 1975   4  0.1211  0.027  0.112  0.5288  0.027  0.10
Michalowski 1933   26  0.0451  0.0020  0.0717  0.3689  0.0220  0.08
Milkina 1970   49  0.0128  0.0068  0.0375  0.0388  0.0255  0.02
Mohovich 1999   64  -0.0170  0.0071  0.0369  0.0390  0.0269  0.02
Moravec 1969   44  0.0266  0.0039  0.0540  0.1489  0.0236  0.05
Morozova 2008   55  0.0026  0.0137  0.0539  0.1589  0.0238  0.05
Neighaus 1950   52  0.0190  0.0072  0.0374  0.0390  0.0174  0.02
Niedzielski 1931   70  -0.0234  0.0078  0.0372  0.0391  0.0153  0.02
Ohlsson 1999   2  0.142  0.122  0.171  0.6285  0.033  0.14
Osinska 1989   50  0.0154  0.0038  0.0536  0.1990  0.0230  0.06
Pachmann 1927   85  -0.0652  0.0090  0.0190  0.0191  0.0184  0.01
Paderewski 1930   42  0.0284  0.0042  0.0441  0.1290  0.0145  0.03
Perlemuter 1992   54  0.0021  0.0119  0.0735  0.2189  0.0229  0.06
Pierdomenico 2008   22  0.067  0.0512  0.0921  0.3490  0.0217  0.08
Poblocka 1999   39  0.0288  0.0061  0.0363  0.0389  0.0249  0.02
Rabcewiczowa 1932   36  0.0316  0.0127  0.0822  0.3388  0.0218  0.08
Rachmaninoff 1923   88  -0.0780  0.0084  0.0285  0.0291  0.0178  0.01
Rangell 2001   48  0.0140  0.0053  0.0361  0.0390  0.0171  0.02
Richter 1976   61  0.0067  0.0062  0.0360  0.0389  0.0158  0.02
Rosen 1989   11  0.0953  0.0018  0.0713  0.3887  0.035  0.11
Rosenthal 1930   28  0.0410  0.0216  0.0830  0.2888  0.0140  0.05
Rosenthal 1931   78  -0.0376  0.0060  0.0356  0.0390  0.0163  0.02
Rosenthal 1931b   76  -0.0389  0.0073  0.0368  0.0391  0.0175  0.02
Rosenthal 1931c   21  0.065  0.0714  0.1114  0.3789  0.0215  0.09
Rosenthal 1931d   80  -0.0372  0.0074  0.0365  0.0391  0.0173  0.02
Rossi 2007   73  -0.029  0.039  0.1111  0.4181  0.0212  0.09
Rubinstein 1939   77  -0.0356  0.0081  0.0283  0.0286  0.0252  0.02
Rubinstein 1952   62  0.0059  0.0065  0.0362  0.0382  0.0347  0.03
Rubinstein 1966   81  -0.0487  0.0087  0.0282  0.0291  0.0185  0.01
Schilhawsky 1960   72  -0.0220  0.0170  0.0276  0.0291  0.0186  0.01
Shebanova 2002   14  0.0841  0.0041  0.0537  0.1788  0.0232  0.06
Smith 1975   23  0.0513  0.026  0.104  0.4988  0.026  0.10
Sokolov 2002   19  0.0618  0.0132  0.0726  0.2890  0.0137  0.05
Sztompka 1959   51  0.0125  0.0167  0.0370  0.0391  0.0159  0.02
Tomsic 1995   67  -0.0162  0.0075  0.0357  0.0391  0.0157  0.02
Uninsky 1932   66  -0.0181  0.0049  0.0449  0.0490  0.0167  0.02
Uninsky 1971   60  0.0077  0.0046  0.0546  0.0590  0.0161  0.02
Wasowski 1980   16  0.0727  0.0144  0.0444  0.1088  0.0242  0.04
Zak 1937   90  -0.0958  0.0091  0.0191  0.0191  0.0180  0.01
Zak 1951   89  -0.0844  0.0088  0.0288  0.0291  0.0182  0.01
Average   43  0.0285  0.0066  0.0371  0.0390  0.0166  0.02
Random 1   18  0.0615  0.0110  0.0910  0.413  0.541  0.47
Random 2   8  0.104  0.084  0.158  0.457  0.422  0.43
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).