Rubinstein 1952

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Ashkenazy 1981   8  0.7418  0.009  0.2110  0.5116  0.4910  0.50
Ax 1995   4  0.796  0.025  0.384  0.792  0.773  0.78
Bacha 1998   48  0.6022  0.0051  0.0560  0.0528  0.1946  0.10
Barbosa 1983   11  0.7214  0.007  0.209  0.582  0.646  0.61
BenOr 1989   50  0.5831  0.0047  0.0643  0.0637  0.0953  0.07
Biret 1990   26  0.674  0.0214  0.1323  0.3521  0.6015  0.46
Brailowsky 1960   27  0.6720  0.0016  0.0930  0.2519  0.4022  0.32
Chiu 1999   9  0.7347  0.0010  0.2111  0.504  0.608  0.55
Clidat 1994   23  0.6843  0.0023  0.0724  0.3527  0.2723  0.31
Cohen 1997   59  0.5230  0.0061  0.0562  0.0518  0.3938  0.14
Cortot 1951   64  0.3135  0.0064  0.0556  0.0542  0.0565  0.05
Csalog 1996   32  0.6648  0.0045  0.1034  0.1026  0.2037  0.14
Czerny 1989   38  0.6555  0.0034  0.0836  0.0821  0.3433  0.16
Ezaki 2006   36  0.6644  0.0037  0.0741  0.0747  0.0654  0.06
Falvay 1989   30  0.6712  0.0019  0.0831  0.2463  0.0445  0.10
Fiorentino 1962   14  0.7127  0.0017  0.1016  0.4327  0.3818  0.40
Fliere 1977   15  0.7134  0.0030  0.1025  0.3429  0.3021  0.32
Fou 1978   13  0.719  0.0112  0.1313  0.4923  0.5011  0.49
Francois 1956   25  0.6819  0.0028  0.1026  0.316  0.6616  0.45
Goldenweiser 1946   63  0.3417  0.0063  0.0652  0.0658  0.0463  0.05
Gornostaeva 1994   45  0.6258  0.0043  0.0742  0.0711  0.4928  0.19
Groot 1988   43  0.6339  0.0041  0.0647  0.0647  0.0661  0.06
Hatto 1993   28  0.6756  0.0027  0.1122  0.3834  0.1029  0.19
Hatto 1997   24  0.6863  0.0025  0.0919  0.4034  0.1027  0.20
Horszowski 1983   62  0.5046  0.0062  0.0559  0.0557  0.0466  0.04
Indjic 2001   22  0.6852  0.0021  0.0815  0.4535  0.1026  0.21
Katin 1996   6  0.7721  0.006  0.357  0.686  0.725  0.70
Kiepura 1999   37  0.6551  0.0035  0.0649  0.068  0.5630  0.18
Korecka 1992   61  0.5150  0.0060  0.0464  0.0440  0.0764  0.05
Kushner 1990   42  0.6424  0.0039  0.0648  0.0627  0.2740  0.13
Lilamand 2001   54  0.5542  0.0052  0.0561  0.0516  0.3341  0.13
Luisada 1990   60  0.5140  0.0059  0.0651  0.0643  0.0758  0.06
Luisada 2008   58  0.5461  0.0058  0.0737  0.0752  0.0557  0.06
Lushtak 2004   46  0.6153  0.0046  0.0645  0.0655  0.0659  0.06
Malcuzynski 1951   20  0.6925  0.0031  0.1129  0.2538  0.0743  0.13
Malcuzynski 1961   21  0.6916  0.0026  0.0921  0.3851  0.0536  0.14
Magaloff 1977   41  0.6410  0.0140  0.0555  0.0511  0.5434  0.16
Magin 1975   40  0.6436  0.0044  0.0935  0.0928  0.1939  0.13
Meguri 1997   53  0.5628  0.0049  0.0740  0.0746  0.0556  0.06
Milkina 1970   5  0.7826  0.004  0.285  0.714  0.694  0.70
Mohovich 1999   39  0.6557  0.0029  0.1028  0.2622  0.3324  0.29
Nezu 2005   29  0.6741  0.0032  0.0932  0.1835  0.1042  0.13
Ohlsson 1999   10  0.7223  0.0013  0.1612  0.4915  0.5012  0.49
Olejniczak 1990   44  0.6262  0.0042  0.0646  0.0646  0.0762  0.06
Osinska 1989   19  0.7029  0.0018  0.0918  0.4141  0.0731  0.17
Perlemuter 1992   57  0.5437  0.0057  0.0653  0.067  0.3835  0.15
Poblocka 1999   18  0.7115  0.0024  0.0820  0.4025  0.3220  0.36
Rangell 2001   49  0.6038  0.0054  0.0654  0.0646  0.0660  0.06
Richter 1960   56  0.5559  0.0055  0.0557  0.0533  0.1049  0.07
Richter 1961   52  0.5660  0.0050  0.0563  0.0533  0.0948  0.07
Rosen 1989   35  0.667  0.0233  0.0833  0.1621  0.3325  0.23
Rubinstein 1939   2  0.823  0.072  0.513  0.813  0.802  0.80
Rubinstein 1952   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Rubinstein 1966   1  0.871  0.651  0.641  0.871  0.871  0.87
Rudanovskaya 2007   55  0.5564  0.0053  0.0558  0.0530  0.2644  0.11
Shebanova 2002   34  0.6654  0.0036  0.0644  0.0638  0.0850  0.07
Smith 1975   31  0.6611  0.0120  0.0827  0.2812  0.5119  0.38
Sztompka 1959   47  0.618  0.0248  0.0738  0.0717  0.4032  0.17
Tanyel 1992   33  0.6649  0.0038  0.0739  0.0738  0.0852  0.07
Tsujii 2005   7  0.765  0.028  0.296  0.7028  0.3513  0.49
Uninsky 1959   12  0.7213  0.0011  0.168  0.5911  0.537  0.56
Vardi 1988   17  0.7132  0.0015  0.1214  0.4812  0.4814  0.48
Wasowski 1980   51  0.5745  0.0056  0.0650  0.0644  0.0655  0.06
Zimerman 1975   16  0.7133  0.0022  0.0717  0.4224  0.4017  0.41
Average   3  0.812  0.093  0.512  0.8428  0.329  0.52
Random 1   66  -0.0265  0.0066  0.0266  0.0212  0.4247  0.09
Random 2   65  0.0066  0.0065  0.0265  0.0218  0.2651  0.07
Random 3   67  -0.0367  0.0067  0.0167  0.0130  0.1167  0.03
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).