Random 3

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Afanassiev 2001   85  -0.1111  0.0176  0.0365  0.0391  0.0165  0.02
Anderszewski 2003   27  0.0064  0.0024  0.0819  0.3586  0.0220  0.08
Ashkenazy 1981   43  -0.0338  0.0085  0.0282  0.0291  0.0186  0.01
Bacha 2000   51  -0.0454  0.0034  0.0629  0.1990  0.0133  0.04
Badura 1965   75  -0.0861  0.0032  0.0537  0.1591  0.0138  0.04
Barbosa 1983   80  -0.0946  0.0058  0.0448  0.0491  0.0159  0.02
Biret 1990   38  -0.0279  0.0037  0.0436  0.1589  0.0232  0.05
Blet 2003   15  0.0250  0.0029  0.0826  0.2891  0.0130  0.05
Block 1995   29  0.0034  0.0039  0.0538  0.1491  0.0139  0.04
Blumental 1952   78  -0.0972  0.0046  0.0450  0.0490  0.0167  0.02
Boshniakovich 1969   68  -0.0773  0.0057  0.0354  0.0391  0.0168  0.02
Brailowsky 1960   60  -0.0551  0.0018  0.0923  0.3387  0.0312  0.10
Bunin 1987   82  -0.1035  0.0049  0.0451  0.0491  0.0169  0.02
Bunin 1987b   83  -0.1028  0.0048  0.0449  0.0491  0.0152  0.02
Chiu 1999   59  -0.0581  0.0082  0.0280  0.0291  0.0177  0.01
Cohen 1997   8  0.069  0.028  0.174  0.6459  0.055  0.18
Cortot 1951   13  0.0312  0.0110  0.1111  0.4785  0.0214  0.10
Csalog 1996   71  -0.0715  0.0150  0.0546  0.0591  0.0160  0.02
Czerny 1949   2  0.132  0.192  0.221  0.7444  0.173  0.35
Czerny 1990   22  0.0118  0.0160  0.0359  0.0390  0.0170  0.02
Duchoud 2007   46  -0.0341  0.0068  0.0366  0.0391  0.0166  0.02
Ezaki 2006   24  0.0033  0.0015  0.139  0.5178  0.039  0.12
Falvay 1989   66  -0.0626  0.0063  0.0362  0.0391  0.0147  0.02
Farrell 1958   74  -0.0762  0.0075  0.0360  0.0391  0.0148  0.02
Ferenczy 1958   73  -0.0752  0.0027  0.0727  0.2870  0.0411  0.11
Fliere 1977   41  -0.0266  0.0070  0.0368  0.0389  0.0146  0.02
Fou 1978   33  -0.0130  0.0051  0.0358  0.0391  0.0149  0.02
Francois 1956   16  0.0124  0.0014  0.1314  0.4490  0.0123  0.07
Friedman 1923   86  -0.1182  0.0090  0.0189  0.0191  0.0191  0.01
Friedman 1923b   81  -0.1063  0.0089  0.0190  0.0190  0.0187  0.01
Friedman 1930   49  -0.0458  0.0077  0.0370  0.0390  0.0161  0.02
Garcia 2007   91  -0.1587  0.0086  0.0285  0.0291  0.0185  0.01
Garcia 2007b   55  -0.0547  0.0083  0.0286  0.0291  0.0190  0.01
Gierzod 1998   23  0.0057  0.0017  0.0918  0.3981  0.0217  0.09
Gornostaeva 1994   34  -0.0131  0.0025  0.0720  0.3590  0.0129  0.06
Groot 1988   72  -0.0774  0.0091  0.0191  0.0191  0.0188  0.01
Harasiewicz 1955   61  -0.0565  0.0055  0.0355  0.0391  0.0174  0.02
Hatto 1993   64  -0.0645  0.0079  0.0278  0.0291  0.0189  0.01
Hatto 1997   65  -0.0683  0.0059  0.0453  0.0490  0.0162  0.02
Horowitz 1949   56  -0.0525  0.0078  0.0373  0.0391  0.0154  0.02
Indjic 1988   57  -0.0553  0.0066  0.0371  0.0390  0.0158  0.02
Kapell 1951   54  -0.0523  0.0065  0.0369  0.0391  0.0150  0.02
Kissin 1993   30  0.0056  0.0053  0.0452  0.0491  0.0156  0.02
Kushner 1989   20  0.0184  0.0041  0.0640  0.1390  0.0134  0.04
Luisada 1991   39  -0.0288  0.0045  0.0345  0.0791  0.0142  0.03
Lushtak 2004   35  -0.0116  0.0120  0.1016  0.4191  0.0128  0.06
Malcuzynski 1961   44  -0.0368  0.0030  0.0633  0.1691  0.0135  0.04
Magaloff 1978   26  0.0069  0.0028  0.0824  0.2989  0.0219  0.08
Magin 1975   10  0.0521  0.0019  0.0817  0.4084  0.0216  0.09
Michalowski 1933   67  -0.0736  0.0067  0.0372  0.0390  0.0155  0.02
Milkina 1970   84  -0.1027  0.0071  0.0281  0.0291  0.0180  0.01
Mohovich 1999   47  -0.0337  0.0036  0.0439  0.1490  0.0140  0.04
Moravec 1969   40  -0.0240  0.0042  0.0442  0.1191  0.0141  0.03
Morozova 2008   52  -0.0529  0.0022  0.0728  0.2291  0.0131  0.05
Neighaus 1950   53  -0.0585  0.0056  0.0363  0.0391  0.0173  0.02
Niedzielski 1931   32  -0.0159  0.0044  0.0444  0.0890  0.0143  0.03
Ohlsson 1999   9  0.0610  0.029  0.1210  0.5087  0.0310  0.12
Osinska 1989   36  -0.0119  0.0112  0.1715  0.4191  0.0125  0.06
Pachmann 1927   28  0.0067  0.0040  0.0441  0.1288  0.0144  0.03
Paderewski 1930   25  0.0060  0.0038  0.0435  0.1690  0.0136  0.04
Perlemuter 1992   7  0.073  0.097  0.188  0.5583  0.038  0.13
Pierdomenico 2008   5  0.0913  0.0111  0.1213  0.4490  0.0215  0.09
Poblocka 1999   76  -0.0875  0.0080  0.0279  0.0290  0.0176  0.01
Rabcewiczowa 1932   21  0.0122  0.0021  0.0825  0.2886  0.0222  0.07
Rachmaninoff 1923   79  -0.0976  0.0088  0.0188  0.0191  0.0178  0.01
Rangell 2001   77  -0.0849  0.0069  0.0277  0.0290  0.0271  0.02
Richter 1976   19  0.0148  0.0026  0.0731  0.1788  0.0227  0.06
Rosen 1989   70  -0.0786  0.0043  0.0443  0.0991  0.0145  0.03
Rosenthal 1930   31  -0.016  0.0516  0.1022  0.3381  0.0313  0.10
Rosenthal 1931   89  -0.1370  0.0072  0.0283  0.0291  0.0182  0.01
Rosenthal 1931b   88  -0.1289  0.0073  0.0367  0.0391  0.0175  0.02
Rosenthal 1931c   18  0.018  0.0413  0.1212  0.4765  0.047  0.14
Rosenthal 1931d   90  -0.1377  0.0074  0.0374  0.0391  0.0172  0.02
Rossi 2007   11  0.035  0.055  0.187  0.5660  0.056  0.17
Rubinstein 1939   69  -0.0732  0.0062  0.0275  0.0291  0.0179  0.01
Rubinstein 1952   14  0.0290  0.0023  0.0621  0.3489  0.0221  0.08
Rubinstein 1966   87  -0.1291  0.0084  0.0284  0.0291  0.0183  0.01
Schilhawsky 1960   58  -0.0517  0.0133  0.0734  0.1690  0.0137  0.04
Shebanova 2002   17  0.0144  0.0052  0.0357  0.0389  0.0264  0.02
Smith 1975   6  0.094  0.083  0.232  0.6565  0.054  0.18
Sokolov 2002   3  0.1114  0.016  0.165  0.6386  0.0118  0.08
Sztompka 1959   42  -0.0242  0.0081  0.0276  0.0291  0.0181  0.01
Tomsic 1995   50  -0.0480  0.0054  0.0356  0.0391  0.0153  0.02
Uninsky 1932   45  -0.0343  0.0064  0.0364  0.0391  0.0163  0.02
Uninsky 1971   62  -0.0678  0.0061  0.0361  0.0391  0.0157  0.02
Wasowski 1980   12  0.0339  0.0031  0.0630  0.1889  0.0224  0.06
Zak 1937   48  -0.0455  0.0047  0.0447  0.0490  0.0151  0.02
Zak 1951   37  -0.0220  0.0135  0.0532  0.1788  0.0226  0.06
Average   63  -0.0671  0.0087  0.0287  0.0291  0.0184  0.01
Random 1   4  0.097  0.044  0.173  0.647  0.482  0.55
Random 2   1  0.141  0.251  0.256  0.604  0.521  0.56
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).