Zak 1937

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Afanassiev 2001   59  0.2447  0.0064  0.0749  0.0759  0.0464  0.05
Anderszewski 2003   64  0.2048  0.0059  0.0659  0.0648  0.0750  0.06
Ashkenazy 1981   17  0.4013  0.0022  0.1117  0.4956  0.0731  0.19
Bacha 2000   55  0.2549  0.0060  0.0656  0.0655  0.0552  0.05
Badura 1965   63  0.2118  0.0055  0.0565  0.0546  0.0666  0.05
Barbosa 1983   14  0.4150  0.0016  0.1511  0.6512  0.5810  0.61
Biret 1990   44  0.3051  0.0018  0.0925  0.4016  0.5914  0.49
Blet 2003   13  0.4152  0.0010  0.128  0.6813  0.637  0.65
Block 1995   28  0.356  0.0036  0.0643  0.1356  0.0543  0.08
Blumental 1952   57  0.2453  0.0065  0.0945  0.0947  0.0646  0.07
Boshniakovich 1969   2  0.532  0.002  0.612  0.824  0.742  0.78
Brailowsky 1960   33  0.3454  0.0032  0.0832  0.3318  0.5318  0.42
Bunin 1987   30  0.3455  0.0030  0.0926  0.3831  0.3527  0.36
Bunin 1987b   29  0.3419  0.0031  0.1228  0.3731  0.3525  0.36
Chiu 1999   8  0.4526  0.0014  0.1112  0.6331  0.3616  0.48
Cohen 1997   73  0.1227  0.0077  0.0372  0.0369  0.0377  0.03
Cortot 1951   68  0.1556  0.0079  0.0383  0.0381  0.0287  0.02
Csalog 1996   22  0.3757  0.0013  0.1213  0.5516  0.5111  0.53
Czerny 1949   86  0.0458  0.0086  0.0286  0.0268  0.0476  0.03
Czerny 1990   74  0.1259  0.0082  0.0382  0.0372  0.0378  0.03
Duchoud 2007   21  0.3728  0.0035  0.0734  0.2746  0.0835  0.15
Ezaki 2006   78  0.1029  0.0076  0.0380  0.0378  0.0372  0.03
Falvay 1989   42  0.309  0.0048  0.0662  0.0666  0.0371  0.04
Farrell 1958   49  0.2860  0.0012  0.1527  0.3720  0.4620  0.41
Ferenczy 1958   81  0.0961  0.0081  0.0373  0.0350  0.0763  0.05
Fliere 1977   31  0.3462  0.0041  0.0838  0.1954  0.0637  0.11
Fou 1978   51  0.2763  0.0039  0.0639  0.1851  0.0541  0.09
Francois 1956   79  0.1064  0.0080  0.0378  0.0378  0.0288  0.02
Friedman 1923   7  0.4620  0.005  0.164  0.7414  0.694  0.71
Friedman 1923b   3  0.4721  0.004  0.183  0.7513  0.703  0.72
Friedman 1930   24  0.365  0.0021  0.1120  0.4740  0.3323  0.39
Garcia 2007   5  0.477  0.008  0.126  0.6912  0.598  0.64
Garcia 2007b   41  0.3030  0.0033  0.0736  0.2333  0.3329  0.28
Gierzod 1998   69  0.1531  0.0068  0.0566  0.0558  0.0665  0.05
Gornostaeva 1994   80  0.0965  0.0072  0.0377  0.0381  0.0286  0.02
Groot 1988   52  0.2766  0.0058  0.0661  0.0670  0.0467  0.05
Harasiewicz 1955   11  0.4232  0.0015  0.1215  0.5329  0.3022  0.40
Hatto 1993   45  0.3033  0.0050  0.0655  0.0661  0.0751  0.06
Hatto 1997   56  0.2467  0.0061  0.0654  0.0661  0.0462  0.05
Horowitz 1949   10  0.4234  0.0017  0.1216  0.5225  0.5113  0.51
Indjic 1988   35  0.3335  0.0043  0.0541  0.1349  0.0840  0.10
Kapell 1951   16  0.4068  0.0020  0.1124  0.4428  0.3124  0.37
Kissin 1993   60  0.2436  0.0051  0.0569  0.0566  0.0560  0.05
Kushner 1989   47  0.2914  0.0054  0.0747  0.0770  0.0457  0.05
Luisada 1991   4  0.4769  0.007  0.145  0.7318  0.586  0.65
Lushtak 2004   9  0.4310  0.003  0.1910  0.664  0.619  0.63
Malcuzynski 1961   39  0.3122  0.0047  0.0652  0.0659  0.0558  0.05
Magaloff 1978   54  0.2537  0.0053  0.0653  0.0659  0.0556  0.05
Magin 1975   48  0.2870  0.0037  0.0640  0.1643  0.1632  0.16
Michalowski 1933   26  0.3671  0.0027  0.1021  0.4632  0.3521  0.40
Milkina 1970   70  0.1372  0.0067  0.0470  0.0473  0.0374  0.03
Mohovich 1999   20  0.3873  0.0023  0.1130  0.3622  0.3726  0.36
Moravec 1969   65  0.2038  0.0069  0.0750  0.0786  0.0269  0.04
Morozova 2008   62  0.2239  0.0052  0.0563  0.0557  0.0561  0.05
Neighaus 1950   6  0.4611  0.006  0.167  0.6824  0.3515  0.49
Niedzielski 1931   27  0.3574  0.0028  0.1022  0.4642  0.1728  0.28
Ohlsson 1999   34  0.3375  0.0038  0.0735  0.2572  0.0439  0.10
Osinska 1989   25  0.3676  0.0019  0.1018  0.4727  0.4517  0.46
Pachmann 1927   15  0.4040  0.0011  0.1214  0.5323  0.5212  0.52
Paderewski 1930   61  0.2441  0.0062  0.0748  0.0762  0.0649  0.06
Perlemuter 1992   58  0.2442  0.0057  0.0564  0.0551  0.0553  0.05
Pierdomenico 2008   40  0.3177  0.0049  0.0658  0.0645  0.0747  0.06
Poblocka 1999   43  0.3078  0.0040  0.0637  0.1950  0.0638  0.11
Rabcewiczowa 1932   77  0.1179  0.0083  0.0381  0.0375  0.0373  0.03
Rachmaninoff 1923   53  0.263  0.0063  0.0660  0.0674  0.0370  0.04
Rangell 2001   18  0.4043  0.0025  0.0919  0.4719  0.3819  0.42
Richter 1976   32  0.3423  0.0045  0.0746  0.0754  0.0648  0.06
Rosen 1989   38  0.3215  0.0044  0.0644  0.1263  0.0445  0.07
Rosenthal 1930   84  0.0524  0.0088  0.0188  0.0187  0.0290  0.01
Rosenthal 1931   87  0.0280  0.0078  0.0375  0.0379  0.0283  0.02
Rosenthal 1931b   72  0.1316  0.0070  0.0567  0.0543  0.1344  0.08
Rosenthal 1931c   75  0.1281  0.0071  0.0471  0.0471  0.0380  0.03
Rosenthal 1931d   76  0.1182  0.0073  0.0374  0.0364  0.0379  0.03
Rossi 2007   85  0.0483  0.0074  0.0384  0.0344  0.0955  0.05
Rubinstein 1939   83  0.0784  0.0084  0.0376  0.0388  0.0282  0.02
Rubinstein 1952   66  0.1985  0.0056  0.0568  0.0551  0.0668  0.05
Rubinstein 1966   36  0.3344  0.0029  0.0931  0.3476  0.0436  0.12
Schilhawsky 1960   19  0.4086  0.009  0.139  0.672  0.715  0.69
Shebanova 2002   23  0.3745  0.0026  0.0823  0.4557  0.0830  0.19
Smith 1975   82  0.0787  0.0085  0.0285  0.0282  0.0281  0.02
Sokolov 2002   50  0.2817  0.0046  0.0751  0.0749  0.0454  0.05
Sztompka 1959   71  0.1312  0.0075  0.0379  0.0378  0.0375  0.03
Tomsic 1995   67  0.1725  0.0066  0.0657  0.0670  0.0459  0.05
Uninsky 1932   12  0.414  0.0024  0.1029  0.3649  0.0733  0.16
Uninsky 1971   46  0.2988  0.0042  0.0642  0.1354  0.0642  0.09
Wasowski 1980   37  0.3246  0.0034  0.0733  0.2846  0.0834  0.15
Zak 1937   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Zak 1951   1  0.981  1.001  0.981  1.001  1.001  1.00
Random 1   88  0.0089  0.0087  0.0287  0.0266  0.0384  0.02
Random 2   90  -0.1190  0.0090  0.0190  0.0187  0.0189  0.01
Random 3   89  -0.048  0.0089  0.0189  0.0146  0.0485  0.02

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).