Zak 1937

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Afanassiev 2001   3  0.8111  0.008  0.097  0.4918  0.408  0.44
Anderszewski 2003   40  0.7047  0.0045  0.0549  0.0525  0.2556  0.11
Ashkenazy 1981   10  0.7824  0.006  0.0912  0.386  0.4810  0.43
Bacha 2000   72  0.5648  0.0064  0.0374  0.0356  0.0485  0.03
Badura 1965   48  0.6825  0.0046  0.0646  0.0618  0.5045  0.17
Barbosa 1983   71  0.5613  0.0047  0.0459  0.0413  0.3651  0.12
Biret 1990   42  0.6949  0.0037  0.0434  0.1620  0.3338  0.23
Blet 2003   52  0.6650  0.0066  0.0383  0.0336  0.1670  0.07
Block 1995   67  0.5926  0.0058  0.0458  0.0419  0.2660  0.10
Blumental 1952   46  0.6851  0.0057  0.0645  0.0671  0.0475  0.05
Boshniakovich 1969   20  0.7416  0.0016  0.0811  0.405  0.575  0.48
Brailowsky 1960   66  0.5912  0.0068  0.0379  0.0331  0.2363  0.08
Bunin 1987   62  0.6252  0.0060  0.0460  0.049  0.4948  0.14
Bunin 1987b   63  0.6153  0.0059  0.0471  0.0410  0.4946  0.14
Chiu 1999   50  0.6727  0.0031  0.0538  0.155  0.4532  0.26
Cohen 1997   86  0.4128  0.0082  0.0377  0.0347  0.0681  0.04
Cortot 1951   44  0.6854  0.0055  0.0457  0.0421  0.4050  0.13
Csalog 1996   76  0.5217  0.0070  0.0382  0.0322  0.3159  0.10
Czerny 1949   30  0.7129  0.0029  0.0530  0.2026  0.4328  0.29
Czerny 1990   16  0.7610  0.0035  0.0532  0.1821  0.2937  0.23
Duchoud 2007   68  0.5814  0.0074  0.0463  0.0431  0.1962  0.09
Ezaki 2006   5  0.8030  0.009  0.118  0.466  0.564  0.51
Falvay 1989   77  0.5131  0.0080  0.0454  0.0446  0.1267  0.07
Farrell 1958   54  0.6555  0.0049  0.0456  0.0441  0.1664  0.08
Ferenczy 1958   58  0.6356  0.0071  0.0372  0.0325  0.2761  0.09
Fliere 1977   4  0.8157  0.004  0.125  0.5019  0.387  0.44
Fou 1978   33  0.7132  0.0048  0.0461  0.0435  0.1565  0.08
Francois 1956   64  0.5958  0.0076  0.0465  0.0459  0.0484  0.04
Friedman 1923   22  0.7459  0.0033  0.0629  0.2116  0.4924  0.32
Friedman 1923b   21  0.7418  0.0028  0.0526  0.2215  0.5123  0.33
Friedman 1930   27  0.7260  0.0040  0.0536  0.1610  0.5227  0.29
Garcia 2007   51  0.6733  0.0073  0.0466  0.0458  0.0579  0.04
Garcia 2007b   56  0.6461  0.0065  0.0384  0.0375  0.0489  0.03
Gierzod 1998   14  0.775  0.0025  0.0613  0.3423  0.3618  0.35
Gornostaeva 1994   74  0.5534  0.0062  0.0469  0.0447  0.0676  0.05
Groot 1988   55  0.6562  0.0030  0.0437  0.1510  0.4831  0.27
Harasiewicz 1955   8  0.7863  0.002  0.242  0.641  0.582  0.61
Hatto 1993   15  0.7664  0.0013  0.0914  0.3316  0.3819  0.35
Hatto 1997   12  0.7765  0.0015  0.1316  0.3316  0.3917  0.36
Horowitz 1949   36  0.7066  0.0044  0.0643  0.1118  0.4640  0.22
Indjic 1988   11  0.7767  0.0014  0.1115  0.3317  0.3915  0.36
Kapell 1951   17  0.7535  0.003  0.134  0.504  0.436  0.46
Kissin 1993   2  0.8268  0.005  0.113  0.546  0.533  0.53
Kushner 1989   18  0.7536  0.0036  0.0527  0.2223  0.3529  0.28
Luisada 1991   6  0.8069  0.0010  0.129  0.439  0.4111  0.42
Lushtak 2004   13  0.776  0.0011  0.1310  0.403  0.4512  0.42
Malcuzynski 1961   79  0.4870  0.0061  0.0378  0.0335  0.1668  0.07
Magaloff 1978   59  0.6371  0.0063  0.0470  0.0427  0.2458  0.10
Magin 1975   28  0.7219  0.0041  0.0539  0.1424  0.3241  0.21
Michalowski 1933   69  0.5872  0.0069  0.0381  0.0342  0.1371  0.06
Milkina 1970   39  0.7020  0.0023  0.0633  0.1719  0.4033  0.26
Mohovich 1999   37  0.7073  0.0043  0.0641  0.1320  0.4535  0.24
Moravec 1969   81  0.4337  0.0084  0.0286  0.0273  0.0486  0.03
Morozova 2008   7  0.7974  0.0012  0.0722  0.2518  0.3825  0.31
Neighaus 1950   32  0.7175  0.0017  0.1017  0.3122  0.3822  0.34
Niedzielski 1931   53  0.6576  0.0053  0.0462  0.0429  0.3154  0.11
Ohlsson 1999   31  0.7121  0.0026  0.0619  0.2913  0.4120  0.34
Osinska 1989   23  0.7338  0.0034  0.0524  0.2425  0.3426  0.29
Pachmann 1927   70  0.5877  0.0077  0.0553  0.0520  0.3349  0.13
Paderewski 1930   60  0.6278  0.0075  0.0464  0.0436  0.1469  0.07
Perlemuter 1992   24  0.733  0.0032  0.0528  0.2222  0.2934  0.25
Pierdomenico 2008   75  0.5339  0.0018  0.0644  0.1029  0.2844  0.17
Poblocka 1999   34  0.7140  0.0024  0.0618  0.3119  0.4214  0.36
Rabcewiczowa 1932   57  0.6379  0.0072  0.0373  0.0348  0.0678  0.04
Rachmaninoff 1923   35  0.7141  0.0038  0.0535  0.1619  0.3436  0.23
Rangell 2001   82  0.4342  0.0079  0.0647  0.0634  0.2057  0.11
Richter 1976   61  0.6215  0.0054  0.0467  0.0419  0.4747  0.14
Rosen 1989   43  0.6980  0.0050  0.0455  0.0434  0.1866  0.08
Rosenthal 1930   78  0.5122  0.0078  0.0551  0.0546  0.0574  0.05
Rosenthal 1931   85  0.4181  0.0085  0.0287  0.0281  0.0390  0.02
Rosenthal 1931b   84  0.4282  0.0086  0.0375  0.0364  0.0583  0.04
Rosenthal 1931c   83  0.427  0.0083  0.0380  0.0362  0.0488  0.03
Rosenthal 1931d   87  0.404  0.0087  0.0468  0.0473  0.0482  0.04
Rossi 2007   80  0.4683  0.0081  0.0376  0.0366  0.0577  0.04
Rubinstein 1939   29  0.728  0.0022  0.0640  0.1315  0.3739  0.22
Rubinstein 1952   65  0.5943  0.0021  0.0742  0.1337  0.3042  0.20
Rubinstein 1966   26  0.722  0.0020  0.0623  0.254  0.5316  0.36
Schilhawsky 1960   19  0.7584  0.0027  0.0521  0.2624  0.4421  0.34
Shebanova 2002   9  0.7885  0.007  0.096  0.4915  0.389  0.43
Smith 1975   49  0.6844  0.0051  0.0550  0.0522  0.2553  0.11
Sokolov 2002   47  0.689  0.0019  0.0620  0.273  0.5013  0.37
Sztompka 1959   25  0.7245  0.0042  0.0825  0.2338  0.1643  0.19
Tomsic 1995   73  0.5686  0.0067  0.0385  0.0322  0.4255  0.11
Uninsky 1932   45  0.6887  0.0052  0.0548  0.0528  0.3152  0.12
Uninsky 1971   41  0.6946  0.0039  0.0431  0.1926  0.3830  0.27
Wasowski 1980   38  0.7088  0.0056  0.0552  0.0554  0.0672  0.05
Zak 1937   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Zak 1951   1  0.991  0.991  0.981  1.001  1.001  1.00
Random 1   90  -0.1789  0.0089  0.0189  0.0138  0.1287  0.03
Random 2   88  -0.0390  0.0088  0.0188  0.0124  0.2273  0.05
Random 3   89  -0.1423  0.0090  0.0190  0.0142  0.1380  0.04

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).