Random 1

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Ashkenazy 1981   24  0.0213  0.0111  0.099  0.3450  0.0310  0.10
Bacha 1997   17  0.0342  0.0041  0.0441  0.0451  0.0335  0.03
Barbosa 1983   49  -0.0228  0.0044  0.0436  0.0451  0.0245  0.03
Biret 1990   8  0.0452  0.0025  0.0625  0.1250  0.0324  0.06
Block 1995   43  0.0015  0.0132  0.0440  0.0450  0.0431  0.04
Brailowsky 1960   19  0.0329  0.009  0.105  0.3850  0.035  0.11
Chiu 1999   29  0.018  0.0118  0.0820  0.1950  0.0414  0.09
Clidat 1994   33  0.016  0.0223  0.0623  0.1350  0.0323  0.06
Cohen 1997   52  -0.0336  0.0052  0.0252  0.0251  0.0251  0.02
Cortot 1951   7  0.0520  0.0022  0.0819  0.1950  0.0320  0.08
Csalog 1996   22  0.0237  0.0024  0.0622  0.1450  0.0325  0.06
Czerny 1990   10  0.0444  0.0021  0.0721  0.1851  0.0321  0.07
Ezaki 2006   36  0.0034  0.0031  0.0531  0.0551  0.0234  0.03
Ferenczy 1958   45  0.0033  0.0048  0.0348  0.0350  0.0247  0.02
Fliere 1977   41  0.004  0.0212  0.0914  0.2650  0.0313  0.09
Fou 1978   46  -0.0141  0.0043  0.0442  0.0450  0.0238  0.03
Francois 1956   25  0.0232  0.0040  0.0443  0.0451  0.0346  0.03
Grinberg 1951   39  0.0050  0.0051  0.0250  0.0252  0.0249  0.02
Hatto 1993   27  0.0240  0.0047  0.0445  0.0451  0.0243  0.03
Hatto 1997   23  0.0243  0.0046  0.0439  0.0451  0.0236  0.03
Indjic 2001   28  0.0248  0.0049  0.0349  0.0351  0.0250  0.02
Jonas 1947   5  0.0610  0.0110  0.1110  0.3050  0.0316  0.09
Kapell 1951   32  0.0125  0.0037  0.0446  0.0450  0.0341  0.03
Kiepura 1999   20  0.0312  0.0128  0.0528  0.0551  0.0327  0.04
Kushner 1989   13  0.0321  0.0035  0.0532  0.0550  0.0240  0.03
Luisada 1991   9  0.0417  0.0117  0.0816  0.2450  0.048  0.10
Lushtak 2004   34  0.0118  0.0133  0.0438  0.0450  0.0430  0.04
Magaloff 1978   37  0.0026  0.0020  0.0724  0.1250  0.0322  0.06
Meguri 1997   6  0.059  0.0115  0.0815  0.2550  0.0319  0.09
Milkina 1970   44  0.0024  0.0045  0.0435  0.0450  0.0342  0.03
Mohovich 1999   31  0.0127  0.0038  0.0437  0.0451  0.0239  0.03
Niedzielski 1931   4  0.0619  0.0116  0.0813  0.2750  0.0315  0.09
Ohlsson 1999   18  0.035  0.0213  0.1011  0.3050  0.0317  0.09
Olejniczak 1990   42  0.0039  0.0042  0.0347  0.0351  0.0252  0.02
Osinska 1989   40  0.0051  0.0039  0.0434  0.0450  0.0337  0.03
Rangell 2001   51  -0.0330  0.0030  0.0433  0.0450  0.0433  0.04
Richter 1976   12  0.0322  0.006  0.126  0.3751  0.036  0.11
Rubinstein 1938   48  -0.0211  0.0119  0.0818  0.1949  0.0418  0.09
Rubinstein 1952   15  0.0331  0.007  0.1012  0.2950  0.047  0.11
Rubinstein 1961   26  0.0216  0.014  0.153  0.5150  0.043  0.14
Rubinstein 1966   38  0.0023  0.0014  0.1017  0.2350  0.0412  0.10
Shebanova 2002   35  0.0135  0.0027  0.0527  0.0551  0.0329  0.04
Smidowicz 1948   21  0.0245  0.0036  0.0529  0.0551  0.0332  0.04
Smidowicz 1948b   14  0.0346  0.0026  0.0726  0.0751  0.0326  0.05
Smith 1975   50  -0.023  0.063  0.138  0.3650  0.039  0.10
Sofronitsky 1949   47  -0.0149  0.0050  0.0251  0.0251  0.0248  0.02
Sztompka 1959   16  0.037  0.028  0.107  0.3650  0.0311  0.10
Tomsic 1995   3  0.0714  0.015  0.114  0.4450  0.044  0.13
Uninsky 1971   30  0.0138  0.0034  0.0444  0.0450  0.0344  0.03
Wasowski 1980   11  0.0447  0.0029  0.0530  0.0550  0.0328  0.04
Random 1   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Random 2   1  0.191  0.541  0.531  0.751  0.771  0.76
Random 3   2  0.142  0.152  0.342  0.554  0.532  0.54

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).