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  0.2866  0.0130  0.05
Ashkenazy 1981   10  0.0536  0.0013  0.089  0.3563  0.039  0.10
Beliavsky 2004   47  -0.0137  0.0031  0.0631  0.1264  0.0227  0.05
BenOr 1989   32  0.0227  0.0029  0.0726  0.1964  0.0225  0.06
Biret 1990   62  -0.0456  0.0053  0.0447  0.0465  0.0345  0.03
Blet 2003   55  -0.0351  0.0056  0.0359  0.0366  0.0155  0.02
Block 1995   57  -0.0352  0.0058  0.0354  0.0366  0.0159  0.02
Brailowsky 1960   50  -0.0215  0.0142  0.0642  0.0665  0.0236  0.03
Chiu 1999   53  -0.0253  0.0049  0.0353  0.0366  0.0150  0.02
Clidat 1994   51  -0.0250  0.0051  0.0356  0.0365  0.0256  0.02
Cohen 1997   60  -0.0461  0.0057  0.0357  0.0366  0.0160  0.02
Coop 1987   45  0.0031  0.0044  0.0544  0.0565  0.0239  0.03
Cortot 1951   5  0.0823  0.015  0.163  0.5352  0.054  0.16
Czerny 1949   7  0.0713  0.0111  0.0713  0.2964  0.0212  0.08
Czerny 1949b   8  0.079  0.0225  0.0624  0.2166  0.0126  0.05
Ezaki 2006   64  -0.0759  0.0065  0.0265  0.0265  0.0247  0.02
Falvay 1989   63  -0.0763  0.0063  0.0264  0.0266  0.0163  0.01
Ferenczy 1958   65  -0.0758  0.0064  0.0263  0.0266  0.0166  0.01
Fiorentino 1962   12  0.0518  0.0134  0.0641  0.0665  0.0243  0.03
Fliere 1977   56  -0.0332  0.0062  0.0262  0.0266  0.0162  0.01
Fou 1978   15  0.045  0.0426  0.0625  0.1965  0.0223  0.06
Francois 1956   54  -0.0262  0.0048  0.0350  0.0365  0.0261  0.02
Hatto 1997   48  -0.0144  0.0041  0.0736  0.0765  0.0233  0.04
Horowitz 1971   37  0.0042  0.0054  0.0446  0.0465  0.0244  0.03
Horowitz 1985   22  0.0434  0.0017  0.0629  0.1466  0.0131  0.04
Indjic 2001   38  0.0024  0.0018  0.0618  0.2465  0.0218  0.07
Kapell 1951   52  -0.0257  0.0055  0.0355  0.0366  0.0152  0.02
Kiepura 1999   27  0.0347  0.0020  0.0716  0.2664  0.0214  0.07
Kilenyi 1937   39  0.0033  0.0039  0.0833  0.0865  0.0234  0.04
Kissin 1993   33  0.0229  0.0038  0.0639  0.0665  0.0240  0.03
Kitain 1937   3  0.103  0.053  0.152  0.5465  0.0210  0.10
Kushner 1990   26  0.0325  0.0022  0.0620  0.2366  0.0129  0.05
Levy 1951   6  0.0710  0.026  0.155  0.4664  0.035  0.12
Luisada 1990   49  -0.0148  0.0047  0.0351  0.0366  0.0157  0.02
Lushtak 2004   59  -0.0465  0.0059  0.0448  0.0466  0.0158  0.02
Lympany 1968   36  0.0045  0.0024  0.0628  0.1465  0.0322  0.06
Magaloff 1977   21  0.0441  0.0028  0.0627  0.1665  0.0224  0.06
Magaloff 1977b   16  0.0422  0.0116  0.0621  0.2265  0.0219  0.07
Magin 1975   58  -0.0464  0.0060  0.0360  0.0366  0.0151  0.02
Milkina 1970   20  0.0439  0.0015  0.0815  0.2764  0.0215  0.07
Mohovich 1999   24  0.0316  0.0121  0.0619  0.2365  0.0220  0.07
Nadelmann 1956   40  0.0055  0.0050  0.0358  0.0366  0.0154  0.02
Ohlsson 1999   43  0.0011  0.0230  0.0630  0.1265  0.0228  0.05
Olejniczac 1990   23  0.0426  0.0035  0.0834  0.0865  0.0235  0.04
Olejniczak 1991   28  0.034  0.0433  0.0640  0.0665  0.0238  0.03
Osinska 1989   11  0.057  0.0310  0.0911  0.3465  0.0211  0.08
Paderewski 1912   4  0.086  0.044  0.167  0.4062  0.037  0.11
Perahia 1994   17  0.0430  0.0014  0.0710  0.3464  0.0213  0.08
Perlemuter 1986   42  0.0060  0.0052  0.0352  0.0366  0.0153  0.02
Poblocka 1999   31  0.0220  0.0137  0.0737  0.0765  0.0232  0.04
Rangell 2001   14  0.0440  0.0023  0.0623  0.2265  0.0221  0.07
Risler 1920   41  0.0049  0.0040  0.0835  0.0866  0.0137  0.03
Rosen 1989   46  -0.018  0.0232  0.0532  0.1066  0.0142  0.03
Rubinstein 1939   1  0.141  0.461  0.451  0.6652  0.043  0.16
Rubinstein 1952   30  0.0243  0.0036  0.0738  0.0766  0.0146  0.03
Rubinstein 1966   25  0.0354  0.0019  0.0517  0.2565  0.0216  0.07
Rummel 1943   19  0.0421  0.017  0.148  0.3662  0.038  0.10
Shebanova 2002   13  0.0417  0.0127  0.0722  0.2264  0.0217  0.07
Smith 1975   9  0.0619  0.018  0.156  0.4464  0.036  0.11
Szpilman 1948   44  0.0035  0.0046  0.0449  0.0466  0.0149  0.02
Uninsky 1971   61  -0.0438  0.0061  0.0261  0.0266  0.0165  0.01
Wasowski 1980   35  0.0128  0.0043  0.0543  0.0566  0.0148  0.02
Weissenberg 1971   66  -0.1146  0.0066  0.0166  0.0166  0.0164  0.01
Average   34  0.0266  0.0045  0.0545  0.0565  0.0241  0.03
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).