Zak 1951

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Afanassiev 2001   25  0.5345  0.0021  0.0825  0.3328  0.1934  0.25
Anderszewski 2003   76  0.325  0.0060  0.0747  0.0743  0.1252  0.09
Ashkenazy 1981   37  0.5025  0.0022  0.0722  0.3836  0.1933  0.27
Bacha 2000   49  0.4646  0.0059  0.0648  0.0612  0.4942  0.17
Badura 1965   62  0.4147  0.0050  0.0562  0.0539  0.1553  0.09
Barbosa 1983   14  0.5648  0.0018  0.0914  0.478  0.568  0.51
Biret 1990   44  0.487  0.0028  0.0826  0.3317  0.4621  0.39
Blet 2003   28  0.5314  0.0038  0.0838  0.2132  0.2535  0.23
Block 1995   59  0.4215  0.0068  0.0552  0.0551  0.0475  0.04
Blumental 1952   67  0.3549  0.0072  0.0469  0.0443  0.1060  0.06
Boshniakovich 1969   20  0.5426  0.0019  0.0921  0.3913  0.5514  0.46
Brailowsky 1960   35  0.5150  0.0041  0.0839  0.2112  0.4428  0.30
Bunin 1987   26  0.5351  0.0036  0.0634  0.2640  0.1738  0.21
Bunin 1987b   27  0.5327  0.0037  0.0735  0.2640  0.1737  0.21
Chiu 1999   13  0.5752  0.0012  0.117  0.5712  0.566  0.56
Cohen 1997   84  0.2253  0.0084  0.0382  0.0357  0.0485  0.03
Cortot 1951   70  0.3554  0.0079  0.0288  0.0263  0.0486  0.03
Csalog 1996   39  0.4916  0.0029  0.0737  0.215  0.5724  0.35
Czerny 1949   58  0.4355  0.0061  0.0464  0.0456  0.0573  0.04
Czerny 1990   52  0.4656  0.0047  0.0556  0.0566  0.0477  0.04
Duchoud 2007   47  0.4757  0.0057  0.0551  0.0567  0.0474  0.04
Ezaki 2006   31  0.5228  0.0035  0.0831  0.3038  0.1239  0.19
Falvay 1989   4  0.658  0.006  0.175  0.648  0.545  0.59
Farrell 1958   60  0.4258  0.0055  0.0468  0.0425  0.3247  0.11
Ferenczy 1958   75  0.3259  0.0078  0.0287  0.0269  0.0388  0.02
Fliere 1977   16  0.569  0.0025  0.0723  0.3834  0.2131  0.28
Fou 1978   9  0.5929  0.0010  0.098  0.5617  0.449  0.50
Francois 1956   15  0.5660  0.0016  0.1117  0.4318  0.3920  0.41
Friedman 1923   88  0.1461  0.0087  0.0381  0.0371  0.0487  0.03
Friedman 1923b   86  0.1617  0.0086  0.0474  0.0470  0.0476  0.04
Friedman 1930   82  0.242  0.0077  0.0384  0.0372  0.0382  0.03
Garcia 2007   80  0.313  0.0075  0.0383  0.0323  0.3450  0.10
Garcia 2007b   85  0.1830  0.0085  0.0475  0.0434  0.2451  0.10
Gierzod 1998   42  0.4862  0.0042  0.0841  0.1937  0.1544  0.17
Gornostaeva 1994   56  0.446  0.0067  0.0846  0.0858  0.0461  0.06
Groot 1988   12  0.5863  0.0013  0.0815  0.4521  0.3719  0.41
Harasiewicz 1955   24  0.5431  0.008  0.1310  0.5213  0.3815  0.44
Hatto 1993   79  0.3164  0.0058  0.0649  0.0657  0.0466  0.05
Hatto 1997   72  0.3365  0.0045  0.0645  0.1247  0.0656  0.08
Horowitz 1949   6  0.6366  0.003  0.279  0.547  0.517  0.52
Indjic 1988   71  0.3418  0.0043  0.1040  0.1941  0.1543  0.17
Kapell 1951   38  0.4932  0.0054  0.0465  0.0454  0.0570  0.04
Kissin 1993   11  0.5967  0.0011  0.1112  0.5114  0.4711  0.49
Kushner 1989   36  0.5010  0.0051  0.0553  0.0548  0.0663  0.05
Luisada 1991   32  0.5168  0.009  0.1216  0.4317  0.4117  0.42
Lushtak 2004   7  0.6033  0.007  0.124  0.655  0.603  0.62
Malcuzynski 1961   10  0.5969  0.0015  0.1211  0.5128  0.3318  0.41
Magaloff 1978   30  0.5219  0.0026  0.0819  0.4029  0.2329  0.30
Magin 1975   64  0.3920  0.0030  0.0643  0.1541  0.1445  0.14
Michalowski 1933   83  0.2470  0.0073  0.0377  0.0357  0.0571  0.04
Milkina 1970   34  0.5171  0.0031  0.0628  0.3218  0.3626  0.34
Mohovich 1999   5  0.6434  0.005  0.126  0.608  0.604  0.60
Moravec 1969   29  0.5272  0.0027  0.0632  0.2624  0.3130  0.28
Morozova 2008   46  0.4735  0.0039  0.0836  0.2232  0.1541  0.18
Neighaus 1950   3  0.6511  0.004  0.293  0.707  0.582  0.64
Niedzielski 1931   63  0.4173  0.0052  0.0471  0.0412  0.3946  0.12
Ohlsson 1999   33  0.514  0.0023  0.0724  0.3530  0.2332  0.28
Osinska 1989   41  0.4921  0.0046  0.0650  0.0643  0.1254  0.08
Pachmann 1927   19  0.5512  0.0020  0.0818  0.4113  0.5413  0.47
Paderewski 1930   73  0.3374  0.0080  0.0385  0.0373  0.0380  0.03
Perlemuter 1992   22  0.5422  0.0033  0.0633  0.2624  0.3827  0.31
Pierdomenico 2008   55  0.4575  0.0066  0.0554  0.0532  0.2149  0.10
Poblocka 1999   48  0.4776  0.0048  0.0463  0.0476  0.0468  0.04
Rabcewiczowa 1932   74  0.3236  0.0081  0.0473  0.0471  0.0379  0.03
Rachmaninoff 1923   50  0.4677  0.0040  0.0842  0.1829  0.2736  0.22
Rangell 2001   45  0.4737  0.0053  0.0557  0.0531  0.2548  0.11
Richter 1976   43  0.4823  0.0044  0.0744  0.1328  0.2840  0.19
Rosen 1989   53  0.4613  0.0064  0.0467  0.0485  0.0384  0.03
Rosenthal 1930   78  0.3138  0.0082  0.0476  0.0474  0.0383  0.03
Rosenthal 1931   77  0.3278  0.0076  0.0379  0.0346  0.0672  0.04
Rosenthal 1931b   68  0.3539  0.0070  0.0472  0.0436  0.1857  0.08
Rosenthal 1931c   65  0.3879  0.0069  0.0555  0.0548  0.0567  0.05
Rosenthal 1931d   66  0.3780  0.0071  0.0470  0.0439  0.1159  0.07
Rossi 2007   87  0.1581  0.0088  0.0378  0.0367  0.0378  0.03
Rubinstein 1939   81  0.2882  0.0083  0.0386  0.0332  0.2455  0.08
Rubinstein 1952   17  0.5583  0.0024  0.0827  0.3317  0.4622  0.39
Rubinstein 1966   23  0.5440  0.0034  0.0830  0.3019  0.4125  0.35
Schilhawsky 1960   21  0.5441  0.0017  0.0920  0.395  0.5812  0.48
Shebanova 2002   18  0.5584  0.0032  0.0629  0.3119  0.4223  0.36
Smith 1975   57  0.4485  0.0063  0.0466  0.0462  0.0469  0.04
Sokolov 2002   40  0.4942  0.0056  0.0560  0.0555  0.0562  0.05
Sztompka 1959   69  0.3543  0.0074  0.0380  0.0379  0.0381  0.03
Tomsic 1995   8  0.6044  0.0014  0.1013  0.4915  0.3816  0.43
Uninsky 1932   54  0.4524  0.0062  0.0561  0.0554  0.0565  0.05
Uninsky 1971   51  0.4686  0.0065  0.0559  0.0553  0.0564  0.05
Wasowski 1980   61  0.4187  0.0049  0.0558  0.0546  0.0958  0.07
Zak 1937   1  0.981  1.001  0.991  1.001  1.001  1.00
Zak 1951   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Average   2  0.7188  0.002  0.382  0.8123  0.3110  0.50
Random 1   89  -0.0389  0.0090  0.0189  0.0166  0.0389  0.02
Random 2   91  -0.1390  0.0089  0.0190  0.0186  0.0290  0.01
Random 3   90  -0.0891  0.0091  0.0191  0.0188  0.0291  0.01

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).