Average

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Ashkenazy 1981   18  0.8014  0.0116  0.1716  0.381  0.8716  0.57
Biret 1990   7  0.8730  0.006  0.227  0.661  0.8110  0.73
Blet 2003   14  0.8224  0.0019  0.1219  0.121  0.8719  0.32
Brailoswky 1960   29  0.6822  0.0032  0.0731  0.073  0.7231  0.22
Chiu 1999   27  0.7332  0.0026  0.0729  0.071  0.7627  0.23
Clidat 1994   13  0.836  0.0314  0.1613  0.491  0.9013  0.66
Cortot 1951   22  0.7633  0.0025  0.1024  0.101  0.7724  0.28
Ferenczy 1956   30  0.6315  0.0133  0.0827  0.087  0.6030  0.22
Fiorentino 1962   24  0.7528  0.0024  0.1121  0.111  0.7522  0.29
Fliere 1977   19  0.7911  0.0117  0.1617  0.301  0.8817  0.51
Francois 1956   28  0.7121  0.0029  0.0730  0.071  0.7429  0.23
Hatto 1997   9  0.8616  0.0110  0.158  0.652  0.887  0.76
Indjic 2001   10  0.868  0.0211  0.1910  0.612  0.879  0.73
Jonas 1947   33  0.5112  0.0130  0.0632  0.061  0.6632  0.20
Luisada 1990   6  0.8726  0.0012  0.1812  0.541  0.9012  0.70
Lushtak 2004   12  0.8417  0.0015  0.1914  0.491  0.9014  0.66
Magaloff 1977   15  0.8120  0.0020  0.1618  0.161  0.8418  0.37
Michelangeli 1971   31  0.6329  0.0031  0.0533  0.051  0.6833  0.18
Milkina 1970   1  0.941  0.621  0.601  0.841  0.951  0.89
Mohovich 1999   2  0.917  0.022  0.354  0.751  0.924  0.83
Olejniczac 1990   16  0.8110  0.017  0.206  0.671  0.886  0.77
Poblocka 1999   4  0.905  0.033  0.252  0.771  0.942  0.85
Rangell 2001   20  0.7831  0.0022  0.1123  0.112  0.7423  0.29
Rubinstein 1939   23  0.763  0.065  0.335  0.701  0.905  0.79
Rubinstein 1952   3  0.904  0.054  0.343  0.771  0.933  0.85
Rubinstein 1966   5  0.882  0.089  0.1611  0.611  0.928  0.75
Shebanova 2002   11  0.8519  0.0013  0.1415  0.451  0.8215  0.61
Smith 1975   25  0.7523  0.0027  0.0828  0.081  0.8125  0.25
Sofronitsky 1960   32  0.6227  0.0023  0.0826  0.081  0.6928  0.23
Tsong 1993   8  0.8713  0.018  0.179  0.631  0.8411  0.73
Tsong 2005   17  0.809  0.0218  0.1122  0.112  0.8321  0.30
Uninsky 1971   21  0.7718  0.0021  0.1120  0.111  0.8520  0.31
Yaroshinsky 2005   26  0.7425  0.0028  0.0925  0.091  0.6826  0.25
Average   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Random1   34  0.0134  0.0034  0.0334  0.0321  0.0735  0.05
Random2   35  -0.0435  0.0035  0.0335  0.0319  0.0934  0.05
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).