Random 3

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Ashkenazy 1981   66  -0.0761  0.0063  0.0261  0.0266  0.0166  0.01
Ax 1995   27  0.0010  0.0213  0.0822  0.2364  0.0223  0.07
Bacha 1998   31  0.007  0.039  0.099  0.3264  0.038  0.10
Barbosa 1983   7  0.0422  0.0020  0.0917  0.2665  0.0222  0.07
BenOr 1989   5  0.054  0.062  0.162  0.5758  0.043  0.15
Biret 1990   3  0.0630  0.0012  0.105  0.3565  0.0312  0.10
Brailowsky 1960   44  -0.0134  0.0046  0.0446  0.0464  0.0338  0.03
Chiu 1999   20  0.0118  0.0121  0.0820  0.2465  0.0220  0.07
Clidat 1994   42  -0.0138  0.0041  0.0541  0.0564  0.0247  0.03
Cohen 1997   48  -0.0227  0.0031  0.0525  0.1265  0.0227  0.05
Cortot 1951   51  -0.0219  0.0125  0.0626  0.1265  0.0152  0.03
Csalog 1996   9  0.0320  0.0116  0.0911  0.3163  0.0310  0.10
Czerny 1989   58  -0.0563  0.0061  0.0262  0.0266  0.0165  0.01
Ezaki 2006   56  -0.0332  0.0055  0.0358  0.0365  0.0254  0.02
Falvay 1989   10  0.0328  0.0017  0.0812  0.3164  0.036  0.10
Fiorentino 1962   36  0.0045  0.0042  0.0540  0.0564  0.0434  0.04
Fliere 1977   59  -0.0652  0.0066  0.0166  0.0165  0.0263  0.01
Fou 1978   35  0.0041  0.0034  0.0544  0.0566  0.0158  0.02
Francois 1956   21  0.018  0.035  0.1114  0.3064  0.0217  0.08
Goldenweiser 1946   11  0.039  0.027  0.123  0.4264  0.035  0.11
Gornostaeva 1994   24  0.015  0.056  0.098  0.3364  0.0311  0.10
Groot 1988   4  0.063  0.063  0.154  0.3664  0.044  0.12
Hatto 1993   52  -0.0254  0.0052  0.0539  0.0564  0.0336  0.04
Hatto 1997   38  0.0047  0.0043  0.0545  0.0564  0.0244  0.03
Horszowski 1983   45  -0.016  0.0410  0.1218  0.2665  0.0218  0.07
Indjic 2001   46  -0.0162  0.0051  0.0453  0.0464  0.0350  0.03
Katin 1996   6  0.0549  0.0011  0.0810  0.3264  0.039  0.10
Kiepura 1999   63  -0.0656  0.0062  0.0264  0.0265  0.0255  0.02
Korecka 1992   18  0.0213  0.0122  0.1015  0.2964  0.0313  0.09
Kushner 1990   14  0.0225  0.0014  0.0816  0.2964  0.0314  0.09
Lilamand 2001   40  -0.0133  0.0036  0.0451  0.0465  0.0243  0.03
Luisada 1990   29  0.0057  0.0037  0.0542  0.0564  0.0330  0.04
Luisada 2008   39  -0.0150  0.0048  0.0448  0.0464  0.0245  0.03
Lushtak 2004   50  -0.0264  0.0044  0.0536  0.0564  0.0249  0.03
Malcuzynski 1951   41  -0.0165  0.0047  0.0450  0.0464  0.0353  0.03
Malcuzynski 1961   53  -0.0226  0.0050  0.0543  0.0564  0.0240  0.03
Magaloff 1977   37  0.0044  0.0027  0.0529  0.1065  0.0229  0.04
Magin 1975   64  -0.0666  0.0060  0.0359  0.0365  0.0257  0.02
Meguri 1997   19  0.0121  0.0124  0.0524  0.1264  0.0324  0.06
Milkina 1970   25  0.0124  0.0018  0.0819  0.2464  0.0316  0.08
Mohovich 1999   34  0.0035  0.0039  0.0538  0.0565  0.0251  0.03
Nezu 2005   33  0.0053  0.0040  0.0634  0.0665  0.0333  0.04
Ohlsson 1999   23  0.0131  0.0035  0.0635  0.0665  0.0241  0.03
Olejniczak 1990   43  -0.0140  0.0054  0.0356  0.0364  0.0262  0.02
Osinska 1989   1  0.101  0.361  0.361  0.6262  0.042  0.16
Perlemuter 1992   57  -0.0539  0.0059  0.0260  0.0266  0.0164  0.01
Poblocka 1999   13  0.0236  0.0023  0.0721  0.2364  0.0219  0.07
Rangell 2001   26  0.0029  0.0032  0.0530  0.1065  0.0235  0.04
Richter 1960   61  -0.0648  0.0058  0.0357  0.0366  0.0159  0.02
Richter 1961   65  -0.0746  0.0065  0.0265  0.0264  0.0256  0.02
Rosen 1989   49  -0.0242  0.0053  0.0355  0.0365  0.0261  0.02
Rubinstein 1939   2  0.0717  0.0115  0.0813  0.3164  0.037  0.10
Rubinstein 1952   16  0.0212  0.0126  0.0532  0.0964  0.0237  0.04
Rubinstein 1966   54  -0.0360  0.0056  0.0454  0.0465  0.0242  0.03
Rudanovskaya 2007   60  -0.0615  0.0157  0.0452  0.0465  0.0248  0.03
Shebanova 2002   55  -0.0343  0.0045  0.0449  0.0466  0.0160  0.02
Smith 1975   47  -0.0116  0.0149  0.0447  0.0464  0.0239  0.03
Sztompka 1959   28  0.0011  0.0129  0.0528  0.1165  0.0226  0.05
Tanyel 1992   32  0.0058  0.0033  0.0537  0.0564  0.0331  0.04
Tsujii 2005   17  0.0255  0.0038  0.0633  0.0664  0.0332  0.04
Uninsky 1959   30  0.0051  0.0028  0.0531  0.0964  0.0228  0.04
Vardi 1988   12  0.0323  0.008  0.0923  0.2264  0.0221  0.07
Wasowski 1980   8  0.0414  0.0119  0.116  0.3465  0.0215  0.08
Zimerman 1975   22  0.0159  0.0030  0.0527  0.1164  0.0325  0.06
Random 1   15  0.022  0.134  0.137  0.343  0.511  0.42
Random 2   62  -0.0637  0.0064  0.0263  0.0255  0.0446  0.03
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).