Horowitz 1971

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Afanassiev 2001   55  0.5760  0.0052  0.0548  0.0563  0.0362  0.04
Ashkenazy 1981   14  0.6654  0.0033  0.0642  0.0655  0.0555  0.05
Beliavsky 2004   57  0.5641  0.0057  0.0459  0.0454  0.0459  0.04
BenOr 1989   3  0.6922  0.0014  0.119  0.4654  0.0523  0.15
Biret 1990   17  0.6519  0.0022  0.0924  0.2254  0.0532  0.10
Blet 2003   5  0.683  0.073  0.243  0.5914  0.423  0.50
Block 1995   42  0.6150  0.0036  0.0550  0.0563  0.0363  0.04
Brailowsky 1960   30  0.635  0.0211  0.1312  0.4024  0.278  0.33
Chiu 1999   53  0.5945  0.0046  0.0552  0.0543  0.0648  0.05
Clidat 1994   38  0.624  0.0410  0.1019  0.3052  0.0527  0.12
Cohen 1997   62  0.5252  0.0056  0.0462  0.0464  0.0365  0.03
Coop 1987   58  0.5563  0.0061  0.0460  0.0461  0.0560  0.04
Cortot 1951   21  0.6455  0.0034  0.0643  0.0653  0.0456  0.05
Czerny 1949   59  0.5561  0.0062  0.0647  0.0649  0.0639  0.06
Czerny 1949b   60  0.5444  0.0060  0.0363  0.0360  0.0464  0.03
Ezaki 2006   54  0.5738  0.0059  0.0556  0.0559  0.0544  0.05
Falvay 1989   47  0.6158  0.0043  0.0741  0.0762  0.0449  0.05
Ferenczy 1958   18  0.6432  0.0020  0.0816  0.328  0.544  0.42
Fiorentino 1962   26  0.6411  0.0124  0.0729  0.1741  0.0631  0.10
Fliere 1977   13  0.6625  0.0030  0.0725  0.1950  0.0528  0.10
Fou 1978   34  0.6327  0.0040  0.0833  0.0861  0.0438  0.06
Francois 1956   61  0.5429  0.0053  0.0557  0.0511  0.5421  0.16
Hatto 1997   51  0.5965  0.0051  0.0555  0.0558  0.0461  0.04
Horowitz 1971   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Horowitz 1985   1  0.761  0.401  0.402  0.811  0.851  0.83
Indjic 2001   49  0.6049  0.0050  0.0646  0.0656  0.0554  0.05
Kapell 1951   25  0.6420  0.0023  0.0727  0.1845  0.0629  0.10
Kiepura 1999   10  0.677  0.026  0.0915  0.3216  0.397  0.35
Kilenyi 1937   19  0.6413  0.0129  0.0623  0.2447  0.0625  0.12
Kissin 1993   11  0.6726  0.0013  0.108  0.4947  0.0520  0.16
Kitain 1937   43  0.619  0.024  0.144  0.522  0.712  0.61
Kushner 1990   37  0.6217  0.018  0.1021  0.2627  0.2413  0.25
Levy 1951   32  0.6348  0.0038  0.0834  0.0856  0.0536  0.06
Luisada 1990   52  0.5951  0.0054  0.0558  0.0562  0.0553  0.05
Lushtak 2004   40  0.6246  0.0044  0.0740  0.0747  0.0541  0.06
Lympany 1968   28  0.6312  0.0115  0.0820  0.2733  0.0919  0.16
Magaloff 1977   35  0.6342  0.0042  0.0739  0.0761  0.0540  0.06
Magaloff 1977b   36  0.6336  0.0041  0.0737  0.0760  0.0542  0.06
Magin 1975   20  0.648  0.0232  0.0732  0.1453  0.0534  0.08
Milkina 1970   6  0.6831  0.007  0.095  0.5122  0.2110  0.33
Mohovich 1999   9  0.6814  0.0117  0.0810  0.4432  0.1214  0.23
Nadelmann 1956   39  0.6240  0.0027  0.0631  0.1552  0.0435  0.08
Ohlsson 1999   44  0.6162  0.0048  0.0553  0.0546  0.0551  0.05
Olejniczac 1990   16  0.6510  0.0116  0.0714  0.3440  0.0722  0.15
Olejniczak 1991   41  0.6123  0.0045  0.0735  0.0759  0.0537  0.06
Osinska 1989   50  0.5956  0.0055  0.0461  0.0459  0.0558  0.04
Paderewski 1912   29  0.6316  0.0126  0.0726  0.1929  0.2315  0.21
Perahia 1994   22  0.6430  0.0028  0.0630  0.1617  0.2616  0.20
Perlemuter 1986   31  0.6343  0.0025  0.0822  0.267  0.556  0.38
Poblocka 1999   46  0.6139  0.0049  0.0645  0.0659  0.0546  0.05
Rangell 2001   48  0.6035  0.0047  0.0736  0.0759  0.0543  0.06
Risler 1920   63  0.4353  0.0063  0.0551  0.0559  0.0547  0.05
Rosen 1989   27  0.6424  0.0019  0.0918  0.3017  0.3611  0.33
Rubinstein 1939   23  0.6434  0.0021  0.1013  0.3518  0.319  0.33
Rubinstein 1952   7  0.6821  0.0018  0.0817  0.3132  0.1217  0.19
Rubinstein 1966   15  0.6533  0.0031  0.0828  0.1844  0.0533  0.09
Rummel 1943   4  0.6815  0.015  0.1811  0.4113  0.435  0.42
Shebanova 2002   56  0.5737  0.0058  0.0554  0.0554  0.0552  0.05
Smith 1975   12  0.6747  0.0012  0.106  0.5056  0.0424  0.14
Szpilman 1948   45  0.6128  0.0037  0.0549  0.0556  0.0457  0.04
Uninsky 1971   8  0.686  0.029  0.097  0.5032  0.1412  0.26
Wasowski 1980   24  0.6459  0.0035  0.0644  0.0661  0.0445  0.05
Weissenberg 1971   33  0.6318  0.0139  0.0738  0.0762  0.0450  0.05
Average   2  0.762  0.242  0.461  0.8360  0.0418  0.18
Random 1    66  0.0066  0.0066  0.0166  0.0136  0.0566  0.02
Random 2   64  0.0764  0.0064  0.0364  0.033  0.4826  0.12
Random 3   65  0.0357  0.0065  0.0265  0.025  0.5330  0.10

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).