Random 2

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Ashkenazy 1981   36  -0.0216  0.0124  0.0824  0.1543  0.0419  0.08
Bacha 1997   38  -0.0235  0.0037  0.0628  0.0651  0.0327  0.04
Barbosa 1983   51  -0.1127  0.0041  0.0443  0.0452  0.0244  0.03
Biret 1990   7  0.095  0.032  0.143  0.5550  0.044  0.15
Block 1995   44  -0.0450  0.0050  0.0250  0.0251  0.0246  0.02
Brailowsky 1960   45  -0.0444  0.0030  0.0630  0.0652  0.0237  0.03
Chiu 1999   22  0.0318  0.0131  0.0631  0.0651  0.0328  0.04
Clidat 1994   39  -0.0329  0.0038  0.0444  0.0452  0.0238  0.03
Cohen 1997   17  0.0425  0.008  0.1012  0.4451  0.0314  0.11
Cortot 1951   30  0.003  0.095  0.1719  0.2350  0.0321  0.08
Csalog 1996   8  0.086  0.0315  0.149  0.4650  0.0310  0.12
Czerny 1990   52  -0.1346  0.0051  0.0251  0.0252  0.0249  0.02
Ezaki 2006   18  0.0422  0.0117  0.1113  0.4250  0.0312  0.11
Ferenczy 1958   32  0.0045  0.0033  0.0533  0.0551  0.0234  0.03
Fliere 1977   31  0.0051  0.0029  0.0532  0.0552  0.0233  0.03
Fou 1978   26  0.0228  0.0032  0.0535  0.0550  0.0330  0.04
Francois 1956   19  0.042  0.114  0.1210  0.4651  0.0311  0.12
Grinberg 1951   2  0.104  0.043  0.152  0.5851  0.039  0.13
Hatto 1993   23  0.0348  0.0022  0.1020  0.2150  0.0320  0.08
Hatto 1997   12  0.0715  0.0110  0.098  0.4750  0.045  0.14
Indjic 2001   9  0.0813  0.0212  0.157  0.4750  0.046  0.14
Jonas 1947   13  0.0534  0.0016  0.1017  0.3051  0.0317  0.09
Kapell 1951   14  0.0417  0.0127  0.0727  0.0750  0.0325  0.05
Kiepura 1999   48  -0.0736  0.0044  0.0345  0.0352  0.0245  0.02
Kushner 1989   3  0.1033  0.0011  0.106  0.4848  0.047  0.14
Luisada 1991   50  -0.1137  0.0042  0.0442  0.0451  0.0232  0.03
Lushtak 2004   27  0.0141  0.0034  0.0534  0.0551  0.0329  0.04
Magaloff 1978   11  0.0740  0.0013  0.1115  0.3751  0.0216  0.09
Meguri 1997   4  0.0910  0.026  0.134  0.5248  0.048  0.14
Milkina 1970   29  0.0143  0.0036  0.0536  0.0551  0.0240  0.03
Mohovich 1999   15  0.0412  0.0221  0.0921  0.2152  0.0223  0.06
Niedzielski 1931   49  -0.1021  0.0140  0.0441  0.0452  0.0239  0.03
Ohlsson 1999   16  0.0438  0.0026  0.0629  0.0652  0.0241  0.03
Olejniczak 1990   1  0.101  0.411  0.401  0.6550  0.043  0.16
Osinska 1989   35  -0.0147  0.0039  0.0439  0.0452  0.0236  0.03
Rangell 2001   47  -0.068  0.0352  0.0252  0.0251  0.0351  0.02
Richter 1976   42  -0.0442  0.0049  0.0249  0.0252  0.0250  0.02
Rubinstein 1938   34  -0.017  0.0346  0.0346  0.0352  0.0252  0.02
Rubinstein 1952   37  -0.0226  0.0019  0.0923  0.1951  0.0224  0.06
Rubinstein 1961   28  0.0124  0.0143  0.0537  0.0552  0.0243  0.03
Rubinstein 1966   25  0.0320  0.0128  0.0726  0.0752  0.0231  0.04
Shebanova 2002   40  -0.0332  0.0035  0.0438  0.0452  0.0235  0.03
Smidowicz 1948   41  -0.0430  0.0047  0.0347  0.0352  0.0248  0.02
Smidowicz 1948b   46  -0.0523  0.0148  0.0348  0.0352  0.0247  0.02
Smith 1975   6  0.0919  0.019  0.1211  0.4451  0.0313  0.11
Sofronitsky 1949   33  -0.0131  0.0023  0.0922  0.2051  0.0318  0.08
Sztompka 1959   20  0.0411  0.0220  0.1218  0.2752  0.0222  0.07
Tomsic 1995   21  0.0349  0.0025  0.0625  0.1151  0.0226  0.05
Uninsky 1971   43  -0.0452  0.0045  0.0440  0.0452  0.0242  0.03
Wasowski 1980   24  0.0339  0.0018  0.1214  0.3850  0.0215  0.09
Random 1   5  0.0914  0.0114  0.1216  0.3714  0.332  0.35
Random 2   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Random 3   10  0.079  0.027  0.125  0.508  0.501  0.50

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).