Random 3

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Afanassiev 2001   29  0.0314  0.0112  0.0614  0.2865  0.0219  0.07
Ashkenazy 1981   10  0.0536  0.0013  0.089  0.3562  0.039  0.10
Beliavsky 2004   46  -0.0137  0.0031  0.0631  0.1263  0.0230  0.05
BenOr 1989   32  0.0227  0.0029  0.0726  0.1963  0.0228  0.06
Biret 1990   61  -0.0456  0.0052  0.0446  0.0464  0.0348  0.03
Blet 2003   54  -0.0351  0.0055  0.0358  0.0365  0.0259  0.02
Block 1995   56  -0.0352  0.0057  0.0353  0.0365  0.0263  0.02
Brailowsky 1960   49  -0.0215  0.0143  0.0643  0.0664  0.0241  0.03
Chiu 1999   52  -0.0253  0.0048  0.0352  0.0365  0.0251  0.02
Clidat 1994   50  -0.0250  0.0050  0.0355  0.0364  0.0261  0.02
Cohen 1997   59  -0.0461  0.0056  0.0356  0.0365  0.0264  0.02
Coop 1987   44  0.0031  0.0044  0.0544  0.0564  0.0243  0.03
Cortot 1951   5  0.0823  0.015  0.163  0.5351  0.054  0.16
Czerny 1949   7  0.0713  0.0111  0.0713  0.2963  0.0212  0.08
Czerny 1949b   8  0.079  0.0225  0.0624  0.2165  0.0225  0.06
Ezaki 2006   63  -0.0759  0.0064  0.0264  0.0264  0.0249  0.02
Falvay 1989   62  -0.0763  0.0062  0.0263  0.0265  0.0252  0.02
Ferenczy 1958   64  -0.0758  0.0063  0.0262  0.0265  0.0260  0.02
Fiorentino 1962   12  0.0518  0.0134  0.0642  0.0664  0.0246  0.03
Fliere 1977   55  -0.0332  0.0061  0.0261  0.0265  0.0250  0.02
Fou 1978   15  0.045  0.0426  0.0625  0.1964  0.0226  0.06
Francois 1956   53  -0.0262  0.0047  0.0349  0.0364  0.0265  0.02
Hatto 1997   47  -0.0144  0.0041  0.0737  0.0764  0.0234  0.04
Horowitz 1971   36  0.0042  0.0053  0.0445  0.0464  0.0247  0.03
Horowitz 1985   22  0.0434  0.0017  0.0629  0.1465  0.0229  0.05
Indjic 2001   37  0.0024  0.0018  0.0618  0.2464  0.0220  0.07
Kapell 1951   51  -0.0257  0.0054  0.0354  0.0365  0.0255  0.02
Kiepura 1999   27  0.0347  0.0020  0.0716  0.2663  0.0214  0.07
Kilenyi 1937   38  0.0033  0.0039  0.0833  0.0864  0.0235  0.04
Kissin 1993   33  0.0229  0.0038  0.0639  0.0664  0.0244  0.03
Kitain 1937   3  0.103  0.053  0.152  0.5464  0.0210  0.10
Kushner 1990   26  0.0325  0.0022  0.0620  0.2365  0.0216  0.07
Levy 1951   6  0.0710  0.026  0.155  0.4663  0.035  0.12
Luisada 1990   48  -0.0148  0.0046  0.0350  0.0365  0.0262  0.02
Lushtak 2004   58  -0.0465  0.0058  0.0447  0.0465  0.0245  0.03
Lympany 1968   35  0.0045  0.0024  0.0628  0.1464  0.0324  0.06
Magaloff 1977   21  0.0441  0.0028  0.0627  0.1664  0.0227  0.06
Magaloff 1977b   16  0.0422  0.0116  0.0621  0.2264  0.0221  0.07
Magin 1975   57  -0.0464  0.0059  0.0359  0.0365  0.0253  0.02
Milkina 1970   20  0.0439  0.0015  0.0815  0.2763  0.0215  0.07
Mohovich 1999   24  0.0316  0.0121  0.0619  0.2364  0.0222  0.07
Nadelmann 1956   39  0.0055  0.0049  0.0357  0.0365  0.0257  0.02
Ohlsson 1999   42  0.0011  0.0230  0.0530  0.1264  0.0231  0.05
Olejniczac 1990   23  0.0426  0.0035  0.0834  0.0864  0.0236  0.04
Olejniczak 1991   28  0.034  0.0433  0.0640  0.0664  0.0242  0.03
Osinska 1989   11  0.057  0.0310  0.0911  0.3464  0.0211  0.08
Paderewski 1912   4  0.086  0.044  0.167  0.4161  0.037  0.11
Perahia 1994   17  0.0430  0.0014  0.0710  0.3463  0.0213  0.08
Perlemuter 1986   41  0.0060  0.0051  0.0351  0.0365  0.0256  0.02
Poblocka 1999   31  0.0220  0.0136  0.0738  0.0764  0.0232  0.04
Rangell 2001   14  0.0440  0.0023  0.0623  0.2264  0.0223  0.07
Risler 1920   40  0.0049  0.0040  0.0835  0.0865  0.0233  0.04
Rosen 1989   45  -0.018  0.0232  0.0532  0.1065  0.0237  0.04
Rubinstein 1939   1  0.141  0.461  0.451  0.6651  0.043  0.16
Rubinstein 1952   30  0.0243  0.0037  0.0836  0.0865  0.0238  0.04
Rubinstein 1966   25  0.0354  0.0019  0.0517  0.2564  0.0217  0.07
Rummel 1943   19  0.0421  0.017  0.148  0.3661  0.038  0.10
Shebanova 2002   13  0.0417  0.0127  0.0722  0.2263  0.0218  0.07
Smith 1975   9  0.0619  0.018  0.156  0.4463  0.036  0.11
Szpilman 1948   43  0.0035  0.0045  0.0448  0.0465  0.0240  0.03
Uninsky 1971   60  -0.0438  0.0060  0.0260  0.0265  0.0258  0.02
Wasowski 1980   34  0.0128  0.0042  0.0641  0.0665  0.0239  0.03
Weissenberg 1971   65  -0.1146  0.0065  0.0265  0.0265  0.0254  0.02
Random 1    18  0.0412  0.019  0.1012  0.3018  0.272  0.28
Random 2   2  0.102  0.102  0.304  0.533  0.621  0.57
Random 3   target  targettarget  targettarget  targettarget  targettarget  targettarget  target

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).