Zak 1937

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Afanassiev 2001   15  0.6623  0.0022  0.0920  0.4422  0.4519  0.44
Anderszewski 2003   40  0.606  0.0048  0.0749  0.0734  0.3056  0.14
Ashkenazy 1981   18  0.6537  0.0023  0.1029  0.3212  0.4629  0.38
Bacha 2000   75  0.4754  0.0074  0.0566  0.0551  0.0577  0.05
Badura 1965   50  0.5538  0.0026  0.0638  0.1519  0.4436  0.26
Barbosa 1983   49  0.554  0.0041  0.0642  0.1319  0.4737  0.25
Biret 1990   11  0.6739  0.0010  0.154  0.676  0.606  0.63
Blet 2003   60  0.5240  0.0064  0.0478  0.0429  0.2270  0.09
Block 1995   56  0.5441  0.0054  0.0560  0.0516  0.4351  0.15
Blumental 1952   35  0.6111  0.0044  0.0544  0.0942  0.1368  0.11
Boshniakovich 1969   17  0.6555  0.007  0.118  0.605  0.627  0.61
Brailowsky 1960   74  0.479  0.0078  0.0565  0.0571  0.0479  0.04
Bunin 1987   65  0.5056  0.0070  0.0469  0.0414  0.4657  0.14
Bunin 1987b   69  0.4957  0.0071  0.0847  0.0816  0.4543  0.19
Chiu 1999   44  0.5958  0.0046  0.0563  0.055  0.5046  0.16
Cohen 1997   83  0.3959  0.0081  0.0384  0.0352  0.0582  0.04
Cortot 1951   78  0.4460  0.0080  0.0562  0.0542  0.1173  0.07
Csalog 1996   58  0.5319  0.0056  0.0654  0.0616  0.4147  0.16
Czerny 1949   27  0.6261  0.0031  0.0921  0.4326  0.4618  0.44
Czerny 1990   9  0.6810  0.0015  0.1011  0.5315  0.4911  0.51
Duchoud 2007   71  0.4842  0.0073  0.0564  0.0525  0.2765  0.12
Ezaki 2006   4  0.7143  0.006  0.157  0.626  0.644  0.63
Falvay 1989   41  0.5924  0.0025  0.0641  0.1327  0.3840  0.22
Farrell 1958   55  0.5425  0.0049  0.0657  0.0637  0.2562  0.12
Ferenczy 1958   53  0.5444  0.0062  0.0473  0.0424  0.3964  0.12
Fliere 1977   7  0.6945  0.009  0.139  0.5524  0.3517  0.44
Fou 1978   20  0.6446  0.0036  0.0634  0.2326  0.3234  0.27
Francois 1956   66  0.5026  0.0067  0.0567  0.0532  0.3167  0.12
Friedman 1923   36  0.613  0.0035  0.0835  0.2110  0.5332  0.33
Friedman 1923b   34  0.6112  0.0028  0.0927  0.3510  0.5621  0.44
Friedman 1930   28  0.6215  0.0024  0.0725  0.397  0.6213  0.49
Garcia 2007   76  0.4762  0.0076  0.0383  0.0366  0.0486  0.03
Garcia 2007b   64  0.5127  0.0065  0.0474  0.0449  0.0584  0.04
Gierzod 1998   3  0.7117  0.003  0.146  0.6321  0.528  0.57
Gornostaeva 1994   54  0.5463  0.0040  0.0737  0.1830  0.2939  0.23
Groot 1988   62  0.5164  0.0045  0.0568  0.0520  0.3360  0.13
Harasiewicz 1955   5  0.7013  0.002  0.373  0.707  0.692  0.69
Hatto 1993   16  0.6647  0.0017  0.0818  0.4519  0.3828  0.41
Hatto 1997   14  0.6765  0.0018  0.0919  0.4519  0.3926  0.42
Horowitz 1949   68  0.4966  0.0069  0.0481  0.0438  0.2669  0.10
Indjic 1988   13  0.6720  0.0019  0.1517  0.4520  0.3925  0.42
Kapell 1951   23  0.6318  0.0013  0.0916  0.4517  0.4023  0.42
Kissin 1993   2  0.7267  0.005  0.175  0.659  0.633  0.64
Kushner 1989   10  0.6868  0.0020  0.1112  0.5324  0.5210  0.52
Luisada 1991   21  0.6421  0.0039  0.0736  0.1830  0.2938  0.23
Lushtak 2004   25  0.635  0.0016  0.1026  0.3812  0.5220  0.44
Malcuzynski 1961   70  0.4869  0.0037  0.0539  0.1435  0.1554  0.14
Magaloff 1978   57  0.5370  0.0066  0.0470  0.0470  0.0480  0.04
Magin 1975   19  0.6548  0.0021  0.0913  0.5219  0.4514  0.48
Michalowski 1933   79  0.4471  0.0072  0.0753  0.0723  0.3449  0.15
Milkina 1970   24  0.6372  0.0014  0.1023  0.4129  0.4324  0.42
Mohovich 1999   42  0.5973  0.0050  0.0751  0.0736  0.3152  0.15
Moravec 1969   80  0.4228  0.0083  0.0472  0.0452  0.0578  0.04
Morozova 2008   39  0.6029  0.0047  0.0656  0.0631  0.3059  0.13
Neighaus 1950   48  0.5522  0.0051  0.0750  0.0724  0.3548  0.16
Niedzielski 1931   59  0.5274  0.0059  0.0748  0.0728  0.2853  0.14
Ohlsson 1999   26  0.6375  0.008  0.1415  0.4815  0.4815  0.48
Osinska 1989   6  0.7076  0.004  0.172  0.7017  0.575  0.63
Pachmann 1927   72  0.4749  0.0077  0.0382  0.038  0.5063  0.12
Paderewski 1930   82  0.4177  0.0079  0.0477  0.0443  0.1171  0.07
Perlemuter 1992   46  0.572  0.0057  0.0655  0.0616  0.4545  0.16
Pierdomenico 2008   67  0.4950  0.0063  0.0475  0.0417  0.4358  0.13
Poblocka 1999   22  0.6478  0.0029  0.0924  0.4025  0.4327  0.41
Rabcewiczowa 1932   61  0.5279  0.0060  0.0846  0.0864  0.0476  0.06
Rachmaninoff 1923   45  0.5880  0.0042  0.0640  0.1426  0.2842  0.20
Rangell 2001   73  0.4730  0.0068  0.0471  0.0422  0.3966  0.12
Richter 1976   51  0.5531  0.0061  0.0845  0.0831  0.4244  0.18
Rosen 1989   30  0.6232  0.0038  0.0533  0.2320  0.3733  0.29
Rosenthal 1930   81  0.4281  0.0082  0.0480  0.0459  0.0481  0.04
Rosenthal 1931   86  0.3733  0.0084  0.0287  0.0260  0.0485  0.03
Rosenthal 1931b   84  0.3851  0.0085  0.0386  0.0353  0.0583  0.04
Rosenthal 1931c   85  0.3882  0.0086  0.0385  0.0368  0.0388  0.03
Rosenthal 1931d   87  0.378  0.0087  0.0476  0.0476  0.0387  0.03
Rossi 2007   77  0.4652  0.0075  0.0479  0.0445  0.0975  0.06
Rubinstein 1939   29  0.6234  0.0043  0.0543  0.1112  0.4141  0.21
Rubinstein 1952   37  0.6083  0.0032  0.0831  0.2618  0.4731  0.35
Rubinstein 1966   8  0.687  0.0012  0.1314  0.5110  0.599  0.55
Schilhawsky 1960   31  0.6284  0.0033  0.0830  0.2823  0.4430  0.35
Shebanova 2002   12  0.6785  0.0011  0.1510  0.5417  0.4612  0.50
Smith 1975   43  0.5986  0.0053  0.0561  0.0528  0.2761  0.12
Sokolov 2002   38  0.6014  0.0030  0.0728  0.346  0.5322  0.42
Sztompka 1959   33  0.6116  0.0034  0.0732  0.2636  0.2635  0.26
Tomsic 1995   63  0.5187  0.0055  0.0559  0.0527  0.3955  0.14
Uninsky 1932   52  0.5453  0.0052  0.0658  0.0628  0.3950  0.15
Uninsky 1971   32  0.6135  0.0027  0.0722  0.4218  0.5116  0.46
Wasowski 1980   47  0.5788  0.0058  0.0752  0.0752  0.0674  0.06
Zak 1937   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Zak 1951   1  0.981  0.991  0.981  0.991  0.991  0.99
Random 1   90  -0.0889  0.0090  0.0190  0.0152  0.0490  0.02
Random 2   88  -0.0336  0.0089  0.0189  0.0149  0.0489  0.02
Random 3   89  -0.0690  0.0088  0.0288  0.0227  0.2372  0.07

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).