Random 1

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Afanassiev 2001   9  0.033  0.104  0.119  0.3765  0.0212  0.09
Ashkenazy 1981   63  -0.0750  0.0065  0.0265  0.0265  0.0262  0.02
Beliavsky 2004   56  -0.0449  0.0061  0.0262  0.0265  0.0250  0.02
BenOr 1989   34  0.0062  0.0046  0.0447  0.0465  0.0244  0.03
Biret 1990   49  -0.0254  0.0039  0.0442  0.0464  0.0345  0.03
Blet 2003   15  0.0219  0.0119  0.0613  0.3064  0.0217  0.08
Block 1995   31  0.0015  0.0144  0.0448  0.0465  0.0243  0.03
Brailowsky 1960   41  -0.0140  0.0037  0.0439  0.0464  0.0236  0.03
Chiu 1999   4  0.056  0.063  0.173  0.5064  0.036  0.12
Clidat 1994   42  -0.0146  0.0050  0.0358  0.0364  0.0256  0.02
Cohen 1997   30  0.004  0.0710  0.0923  0.2365  0.0224  0.07
Coop 1987   25  0.0042  0.0034  0.0633  0.0664  0.0331  0.04
Cortot 1951   16  0.0211  0.0314  0.0816  0.2960  0.0220  0.08
Czerny 1949   13  0.0256  0.0017  0.0812  0.3365  0.0218  0.08
Czerny 1949b   24  0.0017  0.0118  0.0815  0.2965  0.0216  0.08
Ezaki 2006   28  0.0020  0.0122  0.0621  0.2464  0.0314  0.08
Falvay 1989   43  -0.0148  0.0030  0.0728  0.1764  0.0323  0.07
Ferenczy 1958   10  0.0313  0.0112  0.106  0.4263  0.037  0.11
Fiorentino 1962   22  0.0130  0.0033  0.0634  0.0666  0.0163  0.02
Fliere 1977   18  0.0133  0.0040  0.0537  0.0564  0.0234  0.03
Fou 1978   35  0.0063  0.0048  0.0351  0.0364  0.0248  0.02
Francois 1956   66  -0.0841  0.0063  0.0263  0.0264  0.0265  0.02
Hatto 1997   52  -0.0355  0.0058  0.0349  0.0366  0.0154  0.02
Horowitz 1971   54  -0.0458  0.0059  0.0355  0.0366  0.0164  0.02
Horowitz 1985   6  0.0510  0.035  0.195  0.4465  0.0210  0.09
Indjic 2001   55  -0.0460  0.0060  0.0352  0.0366  0.0161  0.02
Kapell 1951   11  0.0336  0.0026  0.0614  0.2963  0.0311  0.09
Kiepura 1999   32  0.0043  0.0031  0.0532  0.1266  0.0133  0.03
Kilenyi 1937   23  0.0034  0.008  0.117  0.4164  0.038  0.11
Kissin 1993   58  -0.0457  0.0052  0.0353  0.0366  0.0152  0.02
Kitain 1937   5  0.0529  0.0016  0.0711  0.3466  0.0128  0.06
Kushner 1990   2  0.091  0.251  0.252  0.6364  0.034  0.14
Levy 1951   12  0.0235  0.0024  0.0619  0.2565  0.0222  0.07
Luisada 1990   59  -0.0416  0.0155  0.0446  0.0465  0.0242  0.03
Lushtak 2004   57  -0.0459  0.0051  0.0356  0.0364  0.0258  0.02
Lympany 1968   19  0.0151  0.0028  0.0722  0.2364  0.0315  0.08
Magaloff 1977   44  -0.017  0.059  0.0925  0.2164  0.0227  0.06
Magaloff 1977b   53  -0.0337  0.0021  0.0630  0.1564  0.0230  0.05
Magin 1975   37  0.0025  0.0043  0.0440  0.0465  0.0237  0.03
Milkina 1970   45  -0.0266  0.0049  0.0361  0.0366  0.0149  0.02
Mohovich 1999   21  0.0153  0.0029  0.0727  0.1766  0.0132  0.04
Nadelmann 1956   48  -0.0265  0.0054  0.0536  0.0565  0.0238  0.03
Ohlsson 1999   61  -0.0552  0.0057  0.0354  0.0366  0.0151  0.02
Olejniczac 1990   33  0.0022  0.0147  0.0357  0.0366  0.0155  0.02
Olejniczak 1991   20  0.0121  0.0141  0.0445  0.0466  0.0146  0.02
Osinska 1989   3  0.0531  0.006  0.204  0.4864  0.035  0.12
Paderewski 1912   62  -0.0632  0.0056  0.0360  0.0366  0.0157  0.02
Perahia 1994   60  -0.0538  0.0062  0.0359  0.0366  0.0160  0.02
Perlemuter 1986   50  -0.0324  0.0027  0.0729  0.1764  0.0226  0.06
Poblocka 1999   26  0.009  0.037  0.1110  0.3664  0.039  0.10
Rangell 2001   65  -0.0839  0.0066  0.0166  0.0166  0.0166  0.01
Risler 1920   1  0.112  0.142  0.251  0.6557  0.043  0.16
Rosen 1989   27  0.0023  0.0023  0.0724  0.2363  0.0319  0.08
Rubinstein 1939   14  0.0218  0.0125  0.0626  0.1865  0.0225  0.06
Rubinstein 1952   8  0.0326  0.0013  0.088  0.3864  0.0213  0.09
Rubinstein 1966   29  0.0045  0.0035  0.0635  0.0666  0.0153  0.02
Rummel 1943   64  -0.078  0.0338  0.0441  0.0466  0.0159  0.02
Shebanova 2002   46  -0.0247  0.0053  0.0444  0.0465  0.0241  0.03
Smith 1975   47  -0.0214  0.0132  0.0731  0.1365  0.0229  0.05
Szpilman 1948   36  0.0028  0.0036  0.0538  0.0565  0.0235  0.03
Uninsky 1971   39  -0.0161  0.0045  0.0350  0.0364  0.0339  0.03
Wasowski 1980   40  -0.0127  0.0020  0.0617  0.2864  0.0221  0.07
Weissenberg 1971   51  -0.0344  0.0064  0.0264  0.0265  0.0247  0.02
Average   38  -0.0164  0.0042  0.0443  0.0464  0.0240  0.03
Random 1    target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Random 2   17  0.015  0.0711  0.1020  0.2422  0.282  0.26
Random 3   7  0.0412  0.0215  0.0818  0.2712  0.301  0.28

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).