Random 2

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Afanassiev 2001   19  0.0218  0.0124  0.0720  0.2964  0.0222  0.08
Ashkenazy 1981   61  -0.0756  0.0063  0.0358  0.0366  0.0160  0.02
Beliavsky 2004   57  -0.0554  0.0047  0.0541  0.0566  0.0152  0.02
BenOr 1989   39  -0.0120  0.0044  0.0544  0.0566  0.0161  0.02
Biret 1990   66  -0.1252  0.0066  0.0166  0.0166  0.0166  0.01
Blet 2003   9  0.0616  0.0117  0.0816  0.3765  0.0217  0.09
Block 1995   20  0.028  0.0212  0.0812  0.4062  0.0312  0.11
Brailowsky 1960   40  -0.0143  0.0051  0.0356  0.0366  0.0147  0.02
Chiu 1999   45  -0.029  0.0228  0.0828  0.2065  0.0228  0.06
Clidat 1994   49  -0.0327  0.0048  0.0547  0.0566  0.0158  0.02
Cohen 1997   6  0.083  0.143  0.282  0.6351  0.053  0.18
Coop 1987   54  -0.0461  0.0053  0.0453  0.0466  0.0153  0.02
Cortot 1951   50  -0.0321  0.0046  0.0538  0.0566  0.0162  0.02
Czerny 1949   44  -0.0264  0.0036  0.0537  0.0566  0.0156  0.02
Czerny 1949b   23  0.0113  0.0125  0.0726  0.2564  0.0225  0.07
Ezaki 2006   65  -0.1257  0.0064  0.0265  0.0266  0.0164  0.01
Falvay 1989   31  0.0029  0.0045  0.0546  0.0565  0.0236  0.03
Ferenczy 1958   55  -0.0449  0.0059  0.0452  0.0465  0.0239  0.03
Fiorentino 1962   18  0.0338  0.0022  0.0717  0.3663  0.0223  0.08
Fliere 1977   62  -0.0947  0.0060  0.0357  0.0365  0.0245  0.02
Fou 1978   60  -0.0666  0.0057  0.0362  0.0366  0.0151  0.02
Francois 1956   51  -0.0462  0.0056  0.0360  0.0366  0.0163  0.02
Hatto 1997   27  0.0055  0.0026  0.0923  0.2862  0.0318  0.09
Horowitz 1971   37  -0.0125  0.0037  0.0542  0.0564  0.0243  0.03
Horowitz 1985   8  0.0728  0.006  0.149  0.4564  0.0214  0.09
Indjic 2001   21  0.0223  0.0014  0.0813  0.4062  0.0313  0.11
Kapell 1951   41  -0.0135  0.0020  0.0729  0.1865  0.0229  0.06
Kiepura 1999   46  -0.0211  0.0119  0.0821  0.2965  0.0221  0.08
Kilenyi 1937   34  0.0030  0.0049  0.0450  0.0466  0.0155  0.02
Kissin 1993   32  0.0042  0.0035  0.0734  0.0764  0.0234  0.04
Kitain 1937   1  0.171  0.381  0.381  0.7862  0.034  0.15
Kushner 1990   10  0.0636  0.009  0.0810  0.4165  0.0216  0.09
Levy 1951   43  -0.0232  0.0050  0.0449  0.0466  0.0149  0.02
Luisada 1990   17  0.0315  0.0121  0.0819  0.3064  0.0319  0.09
Lushtak 2004   52  -0.0441  0.0042  0.0636  0.0665  0.0241  0.03
Lympany 1968   59  -0.0563  0.0061  0.0359  0.0366  0.0144  0.02
Magaloff 1977   56  -0.0553  0.0054  0.0361  0.0366  0.0157  0.02
Magaloff 1977b   38  -0.0137  0.0039  0.0545  0.0566  0.0159  0.02
Magin 1975   15  0.0344  0.0018  0.0918  0.3064  0.0315  0.09
Milkina 1970   30  0.0019  0.0032  0.0731  0.1365  0.0231  0.05
Mohovich 1999   2  0.122  0.142  0.336  0.5363  0.036  0.13
Nadelmann 1956   5  0.096  0.047  0.155  0.5663  0.035  0.13
Ohlsson 1999   13  0.0433  0.0023  0.0624  0.2664  0.0226  0.07
Olejniczac 1990   12  0.0558  0.0016  0.0611  0.4062  0.0311  0.11
Olejniczak 1991   16  0.0326  0.0013  0.0814  0.3963  0.0310  0.11
Osinska 1989   48  -0.0350  0.0055  0.0455  0.0466  0.0146  0.02
Paderewski 1912   29  0.0031  0.0030  0.0730  0.1865  0.0230  0.06
Perahia 1994   24  0.0114  0.0129  0.0925  0.2565  0.0227  0.07
Perlemuter 1986   47  -0.0339  0.0041  0.0540  0.0565  0.0237  0.03
Poblocka 1999   64  -0.1159  0.0065  0.0264  0.0266  0.0165  0.01
Rangell 2001   4  0.0912  0.015  0.164  0.5962  0.037  0.13
Risler 1920   35  0.0045  0.0040  0.0543  0.0565  0.0148  0.02
Rosen 1989   28  0.0010  0.0234  0.0735  0.0765  0.0235  0.04
Rubinstein 1939   25  0.0122  0.0031  0.0732  0.1366  0.0132  0.04
Rubinstein 1952   14  0.035  0.0411  0.0915  0.3865  0.0220  0.09
Rubinstein 1966   7  0.0760  0.0015  0.088  0.4664  0.039  0.12
Rummel 1943   53  -0.0424  0.0052  0.0451  0.0465  0.0242  0.03
Shebanova 2002   36  -0.0151  0.0033  0.0833  0.0866  0.0140  0.03
Smith 1975   58  -0.0546  0.0058  0.0363  0.0366  0.0150  0.02
Szpilman 1948   11  0.0517  0.018  0.167  0.4863  0.038  0.12
Uninsky 1971   63  -0.0948  0.0062  0.0454  0.0465  0.0238  0.03
Wasowski 1980   26  0.0034  0.0027  0.0927  0.2465  0.0224  0.07
Weissenberg 1971   42  -0.0240  0.0043  0.0539  0.0564  0.0333  0.04
Average   33  0.0065  0.0038  0.0448  0.0466  0.0154  0.02
Random 1    22  0.014  0.0410  0.0922  0.2820  0.242  0.26
Random 2   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Random 3   3  0.107  0.034  0.183  0.624  0.531  0.57

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).