Random 3

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Afanassiev 2001   61  0.0113  0.0221  0.0724  0.2487  0.0231  0.07
Anderszewski 2003   12  0.225  0.067  0.1112  0.4364  0.0314  0.11
Ashkenazy 1981   1  0.343  0.083  0.182  0.5684  0.0215  0.11
Bacha 2000   3  0.3030  0.009  0.1110  0.4568  0.048  0.13
Badura 1965   69  -0.018  0.0438  0.0535  0.1588  0.0242  0.05
Barbosa 1983   84  -0.1079  0.0058  0.0459  0.0491  0.0170  0.02
Biret 1990   23  0.1387  0.0044  0.0643  0.1189  0.0244  0.05
Blet 2003   52  0.0280  0.0065  0.0551  0.0589  0.0256  0.03
Block 1995   33  0.0860  0.0049  0.0549  0.0583  0.0261  0.03
Blumental 1952   24  0.1317  0.0116  0.1213  0.4364  0.0411  0.13
Boshniakovich 1969   62  0.0184  0.0068  0.0370  0.0391  0.0175  0.02
Brailowsky 1960   50  0.0486  0.0060  0.0455  0.0486  0.0248  0.03
Bunin 1987   81  -0.0682  0.0087  0.0288  0.0291  0.0190  0.01
Bunin 1987b   79  -0.0649  0.0088  0.0277  0.0291  0.0185  0.01
Chiu 1999   55  0.0288  0.0055  0.0552  0.0589  0.0165  0.02
Cohen 1997   5  0.284  0.086  0.1215  0.3945  0.113  0.21
Cortot 1951   35  0.0885  0.0029  0.0626  0.2282  0.0324  0.08
Csalog 1996   49  0.0421  0.0166  0.0458  0.0482  0.0355  0.03
Czerny 1949   75  -0.0418  0.0122  0.0830  0.2085  0.0235  0.06
Czerny 1990   63  0.0066  0.0042  0.0538  0.1488  0.0243  0.05
Duchoud 2007   17  0.1923  0.0114  0.119  0.4675  0.0312  0.12
Ezaki 2006   39  0.0724  0.0133  0.0627  0.2286  0.0225  0.07
Falvay 1989   71  -0.0277  0.0077  0.0373  0.0383  0.0351  0.03
Farrell 1958   30  0.0935  0.0067  0.0276  0.0289  0.0183  0.01
Ferenczy 1958   34  0.0843  0.0035  0.0540  0.1279  0.0241  0.05
Fliere 1977   74  -0.0490  0.0079  0.0283  0.0291  0.0181  0.01
Fou 1978   48  0.0481  0.0046  0.0461  0.0488  0.0252  0.03
Francois 1956   82  -0.069  0.0323  0.0631  0.2087  0.0236  0.06
Friedman 1923   8  0.276  0.064  0.144  0.5028  0.271  0.37
Friedman 1923b   9  0.2629  0.005  0.127  0.4735  0.202  0.31
Friedman 1930   18  0.1811  0.0312  0.118  0.4670  0.047  0.14
Garcia 2007   56  0.0167  0.0051  0.0548  0.0591  0.0174  0.02
Garcia 2007b   14  0.2016  0.018  0.1218  0.3343  0.094  0.17
Gierzod 1998   11  0.2415  0.0210  0.115  0.4987  0.0217  0.10
Gornostaeva 1994   28  0.0946  0.0031  0.0523  0.2484  0.0232  0.07
Groot 1988   78  -0.0636  0.0085  0.0284  0.0291  0.0191  0.01
Harasiewicz 1955   87  -0.1269  0.0072  0.0369  0.0389  0.0178  0.02
Hatto 1993   4  0.2951  0.0018  0.1019  0.3181  0.0223  0.08
Hatto 1997   7  0.2841  0.0025  0.0820  0.2989  0.0221  0.08
Horowitz 1949   76  -0.0539  0.0083  0.0281  0.0290  0.0188  0.01
Indjic 1988   6  0.2863  0.0024  0.0622  0.2780  0.0228  0.07
Kapell 1951   36  0.0842  0.0034  0.0633  0.1578  0.0326  0.07
Kissin 1993   57  0.0165  0.0037  0.0439  0.1484  0.0240  0.05
Kushner 1989   20  0.1626  0.0117  0.1214  0.4089  0.0218  0.09
Luisada 1991   15  0.2019  0.0115  0.1016  0.3684  0.0219  0.08
Lushtak 2004   26  0.0944  0.0054  0.0456  0.0487  0.0260  0.03
Malcuzynski 1961   27  0.0973  0.0045  0.0445  0.0888  0.0246  0.04
Magaloff 1978   40  0.0752  0.0063  0.0462  0.0490  0.0166  0.02
Magin 1975   13  0.2110  0.0313  0.0911  0.4470  0.0313  0.11
Michalowski 1933   16  0.202  0.112  0.126  0.4873  0.046  0.14
Milkina 1970   25  0.1133  0.0064  0.0553  0.0589  0.0253  0.03
Mohovich 1999   70  -0.0170  0.0076  0.0282  0.0289  0.0276  0.02
Moravec 1969   45  0.0576  0.0036  0.0534  0.1584  0.0237  0.05
Morozova 2008   58  0.0128  0.0156  0.0454  0.0489  0.0257  0.03
Neighaus 1950   29  0.0983  0.0057  0.0460  0.0489  0.0263  0.03
Niedzielski 1931   80  -0.0638  0.0080  0.0280  0.0291  0.0182  0.01
Ohlsson 1999   10  0.2631  0.0011  0.133  0.5378  0.039  0.13
Osinska 1989   47  0.0447  0.0041  0.0536  0.1490  0.0238  0.05
Pachmann 1927   88  -0.1458  0.0091  0.0191  0.0191  0.0189  0.01
Paderewski 1930   31  0.0957  0.0028  0.0625  0.2388  0.0227  0.07
Perlemuter 1992   85  -0.1071  0.0074  0.0278  0.0289  0.0264  0.02
Pierdomenico 2008   67  0.007  0.0430  0.0642  0.1176  0.0334  0.06
Poblocka 1999   21  0.1491  0.0048  0.0550  0.0589  0.0249  0.03
Rabcewiczowa 1932   43  0.0612  0.0219  0.0717  0.3577  0.0316  0.10
Rachmaninoff 1923   86  -0.1150  0.0078  0.0371  0.0389  0.0167  0.02
Rangell 2001   22  0.1378  0.0047  0.0464  0.0486  0.0262  0.03
Richter 1976   83  -0.0753  0.0073  0.0374  0.0389  0.0269  0.02
Rosen 1989   2  0.321  0.201  0.201  0.6069  0.0310  0.13
Rosenthal 1930   44  0.0620  0.0140  0.0541  0.1288  0.0159  0.03
Rosenthal 1931   65  0.0040  0.0069  0.0372  0.0391  0.0171  0.02
Rosenthal 1931b   51  0.0237  0.0070  0.0368  0.0391  0.0179  0.02
Rosenthal 1931c   32  0.0914  0.0239  0.0737  0.1489  0.0245  0.05
Rosenthal 1931d   59  0.0174  0.0071  0.0465  0.0491  0.0177  0.02
Rossi 2007   89  -0.1427  0.0120  0.0728  0.2275  0.0320  0.08
Rubinstein 1939   73  -0.0454  0.0086  0.0287  0.0279  0.0368  0.02
Rubinstein 1952   77  -0.0672  0.0084  0.0286  0.0284  0.0280  0.02
Rubinstein 1966   64  0.0048  0.0082  0.0285  0.0288  0.0272  0.02
Schilhawsky 1960   72  -0.0355  0.0075  0.0375  0.0390  0.0173  0.02
Shebanova 2002   19  0.1845  0.0026  0.0721  0.2888  0.0229  0.07
Smith 1975   46  0.0575  0.0027  0.0732  0.1689  0.0233  0.06
Sokolov 2002   42  0.0656  0.0059  0.0466  0.0488  0.0250  0.03
Sztompka 1959   37  0.0864  0.0043  0.0544  0.1080  0.0339  0.05
Tomsic 1995   60  0.0132  0.0081  0.0279  0.0289  0.0187  0.01
Uninsky 1932   66  0.0068  0.0032  0.0629  0.2179  0.0322  0.08
Uninsky 1971   54  0.0261  0.0050  0.0547  0.0587  0.0254  0.03
Wasowski 1980   41  0.0725  0.0162  0.0467  0.0481  0.0347  0.03
Zak 1937   90  -0.1962  0.0090  0.0190  0.0191  0.0184  0.01
Zak 1951   91  -0.2159  0.0089  0.0289  0.0291  0.0186  0.01
Average   38  0.0889  0.0061  0.0463  0.0489  0.0258  0.03
Random 1   53  0.0222  0.0153  0.0646  0.0611  0.415  0.16
Random 2   68  -0.0134  0.0052  0.0457  0.0438  0.1430  0.07
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).