Random 1

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Afanassiev 2001   7  0.002  0.123  0.129  0.4165  0.0210  0.09
Ashkenazy 1981   64  -0.0752  0.0064  0.0261  0.0266  0.0165  0.01
Beliavsky 2004   62  -0.0648  0.0059  0.0260  0.0266  0.0159  0.01
BenOr 1989   36  -0.0440  0.0038  0.0437  0.0465  0.0245  0.03
Biret 1990   35  -0.0313  0.0223  0.0823  0.2265  0.0222  0.07
Blet 2003   22  -0.0323  0.0122  0.0716  0.2865  0.0217  0.07
Block 1995   16  -0.0226  0.0024  0.0820  0.2465  0.0219  0.07
Brailowsky 1960   21  -0.038  0.0418  0.0719  0.2564  0.0215  0.07
Chiu 1999   9  -0.0120  0.0114  0.1012  0.3465  0.0214  0.08
Clidat 1994   47  -0.0437  0.0045  0.0442  0.0465  0.0241  0.03
Cohen 1997   10  -0.0112  0.0315  0.0818  0.2665  0.0221  0.07
Coop 1987   31  -0.0316  0.0139  0.0435  0.0465  0.0238  0.03
Cortot 1951   6  0.007  0.064  0.135  0.4964  0.027  0.10
Czerny 1949   40  -0.0451  0.0032  0.0532  0.1065  0.0232  0.04
Czerny 1949b   37  -0.0458  0.0017  0.0722  0.2365  0.0216  0.07
Ezaki 2006   51  -0.0538  0.0034  0.0436  0.0465  0.0233  0.03
Falvay 1989   29  -0.0356  0.0042  0.0347  0.0365  0.0249  0.02
Ferenczy 1958   5  0.0017  0.0113  0.1010  0.4065  0.029  0.09
Fiorentino 1962   24  -0.0336  0.0040  0.0439  0.0465  0.0244  0.03
Fliere 1977   18  -0.0235  0.0041  0.0346  0.0365  0.0334  0.03
Fou 1978   34  -0.0353  0.0051  0.0353  0.0365  0.0251  0.02
Francois 1956   60  -0.0645  0.0050  0.0351  0.0365  0.0258  0.02
Hatto 1997   48  -0.0457  0.0060  0.0259  0.0266  0.0160  0.01
Horowitz 1971   43  -0.0460  0.0053  0.0348  0.0365  0.0257  0.02
Horowitz 1985   8  0.0010  0.036  0.148  0.4265  0.028  0.09
Indjic 2001   54  -0.0549  0.0061  0.0263  0.0266  0.0164  0.01
Kapell 1951   17  -0.0230  0.0036  0.0534  0.0565  0.0237  0.03
Kiepura 1999   32  -0.039  0.0410  0.1414  0.3266  0.0123  0.06
Kilenyi 1937   27  -0.0329  0.0029  0.0728  0.1865  0.0227  0.06
Kissin 1993   50  -0.0561  0.0058  0.0357  0.0365  0.0253  0.02
Kitain 1937   11  -0.014  0.077  0.133  0.5265  0.026  0.10
Kushner 1990   3  0.006  0.075  0.111  0.5465  0.024  0.10
Levy 1951   49  -0.0543  0.0028  0.0629  0.1666  0.0130  0.04
Luisada 1990   57  -0.0522  0.0155  0.0350  0.0365  0.0256  0.02
Lushtak 2004   46  -0.0464  0.0043  0.0445  0.0465  0.0342  0.03
Lympany 1968   56  -0.0550  0.0057  0.0356  0.0365  0.0247  0.02
Magaloff 1977   13  -0.025  0.079  0.164  0.5164  0.025  0.10
Magaloff 1977b   23  -0.0333  0.0011  0.117  0.4465  0.0211  0.09
Magin 1975   26  -0.0342  0.0048  0.0443  0.0465  0.0235  0.03
Milkina 1970   39  -0.0462  0.0044  0.0349  0.0365  0.0252  0.02
Mohovich 1999   42  -0.0446  0.0046  0.0441  0.0465  0.0243  0.03
Nadelmann 1956   33  -0.0365  0.0047  0.0444  0.0465  0.0239  0.03
Ohlsson 1999   45  -0.0441  0.0031  0.0631  0.1065  0.0231  0.04
Olejniczac 1990   38  -0.0421  0.0154  0.0354  0.0365  0.0255  0.02
Olejniczak 1991   30  -0.0325  0.0056  0.0358  0.0365  0.0250  0.02
Osinska 1989   12  -0.0163  0.0016  0.0715  0.3265  0.0213  0.08
Paderewski 1912   66  -0.0934  0.0063  0.0264  0.0266  0.0161  0.01
Perahia 1994   61  -0.0631  0.0062  0.0262  0.0266  0.0163  0.01
Perlemuter 1986   58  -0.0528  0.0019  0.0627  0.1865  0.0225  0.06
Poblocka 1999   44  -0.0415  0.0127  0.0626  0.1964  0.0224  0.06
Rangell 2001   63  -0.0632  0.0065  0.0265  0.0266  0.0166  0.01
Risler 1920   4  0.0011  0.038  0.152  0.5464  0.033  0.13
Rosen 1989   28  -0.0344  0.0026  0.0724  0.2265  0.0220  0.07
Rubinstein 1939   20  -0.0319  0.0121  0.0821  0.2366  0.0129  0.05
Rubinstein 1952   19  -0.0224  0.0133  0.0533  0.0565  0.0246  0.03
Rubinstein 1966   14  -0.0254  0.0020  0.0717  0.2765  0.0218  0.07
Rummel 1943   65  -0.0818  0.0166  0.0166  0.0166  0.0162  0.01
Shebanova 2002   25  -0.0359  0.0037  0.0438  0.0465  0.0240  0.03
Smith 1975   55  -0.0527  0.0030  0.0630  0.1265  0.0228  0.05
Szpilman 1948   59  -0.0539  0.0049  0.0355  0.0365  0.0248  0.02
Uninsky 1971   15  -0.0255  0.0025  0.0625  0.2165  0.0226  0.06
Wasowski 1980   53  -0.0514  0.0212  0.1213  0.3465  0.0212  0.08
Weissenberg 1971   52  -0.0547  0.0035  0.0440  0.0465  0.0236  0.03
Average   41  -0.0466  0.0052  0.0352  0.0365  0.0254  0.02
Random 1    target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Random 2   2  0.021  0.131  0.1311  0.4050  0.052  0.14
Random 3   1  0.023  0.112  0.166  0.483  0.631  0.55

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).