Zak 1951

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Afanassiev 2001   58  0.2441  0.0054  0.0557  0.0557  0.0471  0.04
Anderszewski 2003   55  0.2542  0.0047  0.0552  0.0534  0.2241  0.10
Ashkenazy 1981   14  0.3912  0.0021  0.1117  0.5253  0.0730  0.19
Bacha 2000   46  0.2922  0.0048  0.0651  0.0636  0.2438  0.12
Badura 1965   62  0.2243  0.0058  0.0747  0.0752  0.0553  0.06
Barbosa 1983   13  0.4013  0.0015  0.129  0.6517  0.528  0.58
Biret 1990   43  0.303  0.0019  0.1219  0.4915  0.6011  0.54
Blet 2003   17  0.3923  0.0010  0.1010  0.6522  0.547  0.59
Block 1995   27  0.344  0.0039  0.0638  0.1847  0.0642  0.10
Blumental 1952   53  0.2644  0.0061  0.0465  0.0454  0.0572  0.04
Boshniakovich 1969   3  0.5124  0.002  0.463  0.826  0.722  0.77
Brailowsky 1960   31  0.3345  0.0033  0.0828  0.3525  0.5017  0.42
Bunin 1987   37  0.3214  0.0031  0.0832  0.3235  0.2824  0.30
Bunin 1987b   36  0.3246  0.0032  0.1233  0.3235  0.2725  0.29
Chiu 1999   7  0.4325  0.0017  0.1214  0.5751  0.0828  0.21
Cohen 1997   73  0.1447  0.0079  0.0376  0.0364  0.0481  0.03
Cortot 1951   72  0.165  0.0081  0.0378  0.0388  0.0288  0.02
Csalog 1996   25  0.3448  0.0020  0.1218  0.5024  0.4214  0.46
Czerny 1949   86  0.0515  0.0086  0.0287  0.0266  0.0479  0.03
Czerny 1990   84  0.0749  0.0087  0.0386  0.0381  0.0383  0.03
Duchoud 2007   34  0.3350  0.0045  0.0645  0.1149  0.0745  0.09
Ezaki 2006   76  0.1326  0.0077  0.0385  0.0377  0.0374  0.03
Falvay 1989   39  0.3127  0.0044  0.0643  0.1362  0.0449  0.07
Farrell 1958   57  0.2451  0.009  0.1129  0.3429  0.3322  0.33
Ferenczy 1958   77  0.1328  0.0078  0.0382  0.0342  0.2744  0.09
Fliere 1977   41  0.3029  0.0053  0.0649  0.0669  0.0455  0.05
Fou 1978   51  0.2752  0.0043  0.0642  0.1356  0.0547  0.08
Francois 1956   75  0.1453  0.0074  0.0374  0.0358  0.0486  0.03
Friedman 1923   9  0.4254  0.0012  0.146  0.6825  0.536  0.60
Friedman 1923b   8  0.4355  0.0011  0.115  0.7025  0.545  0.61
Friedman 1930   24  0.3556  0.0023  0.1022  0.4444  0.1627  0.27
Garcia 2007   12  0.4216  0.0014  0.1113  0.6119  0.4710  0.54
Garcia 2007b   49  0.2730  0.0041  0.0644  0.1341  0.1735  0.15
Gierzod 1998   67  0.2017  0.0069  0.0748  0.0758  0.0652  0.06
Gornostaeva 1994   80  0.107  0.0073  0.0381  0.0377  0.0382  0.03
Groot 1988   60  0.2457  0.0064  0.0372  0.0378  0.0385  0.03
Harasiewicz 1955   10  0.422  0.007  0.1012  0.6129  0.3116  0.43
Hatto 1993   44  0.2958  0.0051  0.0559  0.0549  0.1050  0.07
Hatto 1997   59  0.2459  0.0066  0.0377  0.0379  0.0378  0.03
Horowitz 1949   22  0.3718  0.0024  0.1023  0.4439  0.3021  0.36
Indjic 1988   32  0.3360  0.0036  0.0737  0.2546  0.1331  0.18
Kapell 1951   21  0.3719  0.0022  0.0826  0.4236  0.1826  0.27
Kissin 1993   64  0.2261  0.0060  0.0558  0.0574  0.0561  0.05
Kushner 1989   42  0.308  0.0049  0.0564  0.0555  0.0659  0.05
Luisada 1991   6  0.4431  0.0013  0.117  0.6828  0.4112  0.53
Lushtak 2004   5  0.4432  0.004  0.268  0.684  0.614  0.64
Malcuzynski 1961   26  0.3433  0.0034  0.0831  0.3343  0.1329  0.21
Magaloff 1978   56  0.256  0.0056  0.0562  0.0555  0.0558  0.05
Magin 1975   45  0.2962  0.0038  0.0739  0.1749  0.0939  0.12
Michalowski 1933   23  0.3563  0.0025  0.1020  0.4937  0.3118  0.39
Milkina 1970   70  0.1664  0.0070  0.0746  0.0755  0.0651  0.06
Mohovich 1999   16  0.3965  0.0018  0.1327  0.3820  0.4019  0.39
Moravec 1969   68  0.2066  0.0072  0.0561  0.0583  0.0363  0.04
Morozova 2008   63  0.2267  0.0059  0.0554  0.0576  0.0470  0.04
Neighaus 1950   4  0.4468  0.006  0.1511  0.6431  0.3015  0.44
Niedzielski 1931   29  0.3469  0.0027  0.0825  0.4258  0.0632  0.16
Ohlsson 1999   30  0.3470  0.0035  0.0734  0.3250  0.0636  0.14
Osinska 1989   20  0.3771  0.0016  0.1315  0.5623  0.529  0.54
Pachmann 1927   15  0.3934  0.008  0.1116  0.5234  0.4413  0.48
Paderewski 1930   61  0.2372  0.0065  0.0469  0.0471  0.0568  0.04
Perlemuter 1992   54  0.2573  0.0057  0.0553  0.0576  0.0464  0.04
Pierdomenico 2008   52  0.2635  0.0067  0.0470  0.0461  0.0466  0.04
Poblocka 1999   50  0.2774  0.0052  0.0556  0.0561  0.0556  0.05
Rabcewiczowa 1932   79  0.1136  0.0083  0.0383  0.0375  0.0377  0.03
Rachmaninoff 1923   65  0.2175  0.0071  0.0563  0.0563  0.0465  0.04
Rangell 2001   19  0.3720  0.0028  0.0821  0.4729  0.2920  0.37
Richter 1976   35  0.3276  0.0050  0.0560  0.0560  0.0660  0.05
Rosen 1989   40  0.309  0.0046  0.0650  0.0657  0.0462  0.05
Rosenthal 1930   88  0.0337  0.0090  0.0190  0.0190  0.0191  0.01
Rosenthal 1931   85  0.0677  0.0080  0.0467  0.0453  0.0569  0.04
Rosenthal 1931b   71  0.1678  0.0062  0.0468  0.0440  0.2343  0.10
Rosenthal 1931c   74  0.1479  0.0063  0.0373  0.0377  0.0289  0.02
Rosenthal 1931d   78  0.1280  0.0075  0.0471  0.0466  0.0384  0.03
Rossi 2007   87  0.0581  0.0076  0.0379  0.0343  0.0957  0.05
Rubinstein 1939   81  0.0982  0.0082  0.0375  0.0383  0.0376  0.03
Rubinstein 1952   66  0.2038  0.0055  0.0466  0.0467  0.0473  0.04
Rubinstein 1966   33  0.3310  0.0026  0.1024  0.4249  0.0633  0.16
Schilhawsky 1960   11  0.4211  0.005  0.254  0.751  0.743  0.74
Shebanova 2002   28  0.3483  0.0037  0.0736  0.2763  0.0737  0.14
Smith 1975   83  0.0884  0.0085  0.0384  0.0374  0.0375  0.03
Sokolov 2002   48  0.2985  0.0040  0.0841  0.1568  0.0348  0.07
Sztompka 1959   82  0.0939  0.0084  0.0380  0.0385  0.0287  0.02
Tomsic 1995   69  0.1986  0.0068  0.0555  0.0575  0.0367  0.04
Uninsky 1932   18  0.3821  0.0029  0.0830  0.3348  0.0834  0.16
Uninsky 1971   38  0.3287  0.0030  0.0835  0.3061  0.0540  0.12
Wasowski 1980   47  0.2940  0.0042  0.0540  0.1777  0.0446  0.08
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  0.5588  0.003  0.442  0.8344  0.1123  0.30
Random 1   89  0.0089  0.0088  0.0289  0.0248  0.0480  0.03
Random 2   91  -0.1090  0.0091  0.0191  0.0183  0.0290  0.01
Random 3   90  -0.0291  0.0089  0.0288  0.0232  0.1754  0.06

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).