Random 3

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Afanassiev 2001   34  -0.0456  0.0043  0.0637  0.1990  0.0233  0.06
Anderszewski 2003   61  -0.0877  0.0038  0.0542  0.1490  0.0143  0.04
Ashkenazy 1981   74  -0.1070  0.0057  0.0457  0.0488  0.0247  0.03
Bacha 2000   75  -0.1131  0.0074  0.0455  0.0490  0.0149  0.02
Badura 1965   63  -0.0949  0.0072  0.0370  0.0390  0.0265  0.02
Barbosa 1983   20  -0.0323  0.0012  0.0914  0.3690  0.0218  0.08
Biret 1990   28  -0.0416  0.0145  0.0840  0.1590  0.0145  0.04
Blet 2003   32  -0.0454  0.0059  0.0375  0.0389  0.0261  0.02
Block 1995   79  -0.1142  0.0077  0.0286  0.0291  0.0188  0.01
Blumental 1952   68  -0.0985  0.0079  0.0282  0.0291  0.0189  0.01
Boshniakovich 1969   7  0.0110  0.029  0.099  0.4589  0.0212  0.09
Brailowsky 1960   69  -0.0934  0.0056  0.0361  0.0391  0.0150  0.02
Bunin 1987   47  -0.0667  0.0060  0.0366  0.0391  0.0170  0.02
Bunin 1987b   35  -0.0444  0.0049  0.0549  0.0590  0.0157  0.02
Chiu 1999   8  0.009  0.0313  0.0818  0.3189  0.0213  0.08
Cohen 1997   67  -0.0968  0.0073  0.0358  0.0391  0.0169  0.02
Cortot 1951   1  0.061  0.361  0.351  0.6045  0.131  0.28
Csalog 1996   36  -0.0535  0.0025  0.0638  0.1889  0.0231  0.06
Czerny 1949   30  -0.0469  0.0015  0.086  0.4991  0.0127  0.07
Czerny 1990   53  -0.0774  0.0033  0.0530  0.2189  0.0138  0.05
Duchoud 2007   6  0.0119  0.0116  0.0719  0.3187  0.0219  0.08
Ezaki 2006   60  -0.0852  0.0052  0.0452  0.0491  0.0148  0.02
Falvay 1989   90  -0.1826  0.0087  0.0280  0.0291  0.0180  0.01
Farrell 1958   42  -0.0611  0.0221  0.0711  0.3888  0.0210  0.09
Ferenczy 1958   87  -0.1487  0.0078  0.0287  0.0291  0.0186  0.01
Fliere 1977   5  0.0217  0.018  0.098  0.4789  0.025  0.10
Fou 1978   15  -0.0225  0.0017  0.0717  0.3290  0.0215  0.08
Francois 1956   27  -0.0415  0.0131  0.0532  0.2090  0.0235  0.06
Friedman 1923   86  -0.1478  0.0090  0.0189  0.0191  0.0191  0.01
Friedman 1923b   82  -0.1357  0.0089  0.0188  0.0190  0.0190  0.01
Friedman 1930   49  -0.0753  0.0070  0.0363  0.0388  0.0263  0.02
Garcia 2007   3  0.044  0.047  0.0913  0.3789  0.0211  0.09
Garcia 2007b   12  -0.0128  0.0030  0.0526  0.2685  0.0230  0.07
Gierzod 1998   13  -0.0175  0.0037  0.0629  0.2290  0.0228  0.07
Gornostaeva 1994   62  -0.0960  0.0054  0.0359  0.0390  0.0171  0.02
Groot 1988   14  -0.0158  0.0042  0.0535  0.1989  0.0234  0.06
Harasiewicz 1955   51  -0.0761  0.0026  0.0625  0.2789  0.0229  0.07
Hatto 1993   73  -0.1076  0.0081  0.0368  0.0390  0.0174  0.02
Hatto 1997   71  -0.1079  0.0083  0.0377  0.0390  0.0164  0.02
Horowitz 1949   89  -0.1565  0.0088  0.0190  0.0191  0.0183  0.01
Indjic 1988   66  -0.0973  0.0080  0.0278  0.0290  0.0184  0.01
Kapell 1951   11  -0.013  0.073  0.163  0.5490  0.0123  0.07
Kissin 1993   64  -0.0955  0.0050  0.0548  0.0589  0.0160  0.02
Kushner 1989   54  -0.0724  0.0063  0.0374  0.0391  0.0155  0.02
Luisada 1991   88  -0.1540  0.0085  0.0281  0.0291  0.0179  0.01
Lushtak 2004   78  -0.1190  0.0064  0.0362  0.0390  0.0166  0.02
Malcuzynski 1961   4  0.0318  0.014  0.172  0.5987  0.023  0.11
Magaloff 1978   19  -0.0280  0.0014  0.0716  0.3390  0.0214  0.08
Magin 1975   76  -0.1129  0.0068  0.0371  0.0390  0.0153  0.02
Michalowski 1933   46  -0.0621  0.0169  0.0369  0.0391  0.0159  0.02
Milkina 1970   57  -0.0864  0.0055  0.0453  0.0491  0.0156  0.02
Mohovich 1999   52  -0.0745  0.0066  0.0454  0.0490  0.0168  0.02
Moravec 1969   91  -0.2288  0.0091  0.0191  0.0191  0.0178  0.01
Morozova 2008   24  -0.0359  0.0036  0.0531  0.2189  0.0137  0.05
Neighaus 1950   43  -0.0630  0.0040  0.0543  0.1389  0.0239  0.05
Niedzielski 1931   77  -0.1181  0.0084  0.0284  0.0291  0.0181  0.01
Ohlsson 1999   72  -0.1038  0.0067  0.0360  0.0390  0.0158  0.02
Osinska 1989   55  -0.0871  0.0034  0.0534  0.1991  0.0140  0.04
Pachmann 1927   59  -0.087  0.0322  0.0821  0.2985  0.0217  0.08
Paderewski 1930   23  -0.035  0.0311  0.0722  0.2889  0.0225  0.07
Perlemuter 1992   25  -0.0312  0.016  0.1012  0.3783  0.029  0.09
Pierdomenico 2008   65  -0.0933  0.0023  0.0628  0.2383  0.0222  0.07
Poblocka 1999   80  -0.1143  0.0029  0.0539  0.1791  0.0141  0.04
Rabcewiczowa 1932   41  -0.0666  0.0047  0.0547  0.0590  0.0154  0.02
Rachmaninoff 1923   2  0.056  0.035  0.184  0.5489  0.0121  0.07
Rangell 2001   33  -0.0432  0.0048  0.0550  0.0591  0.0172  0.02
Richter 1976   16  -0.022  0.162  0.165  0.5388  0.026  0.10
Rosen 1989   44  -0.0620  0.0151  0.0451  0.0491  0.0167  0.02
Rosenthal 1930   10  -0.0136  0.0035  0.0633  0.2091  0.0144  0.04
Rosenthal 1931   81  -0.1372  0.0082  0.0279  0.0291  0.0185  0.01
Rosenthal 1931b   26  -0.0427  0.0062  0.0372  0.0391  0.0175  0.02
Rosenthal 1931c   50  -0.0739  0.0076  0.0376  0.0391  0.0176  0.02
Rosenthal 1931d   39  -0.0589  0.0071  0.0365  0.0391  0.0173  0.02
Rossi 2007   18  -0.028  0.0324  0.0623  0.2888  0.0220  0.07
Rubinstein 1939   58  -0.0882  0.0058  0.0373  0.0390  0.0152  0.02
Rubinstein 1952   48  -0.0650  0.0053  0.0364  0.0390  0.0177  0.02
Rubinstein 1966   40  -0.0686  0.0041  0.0536  0.1989  0.0232  0.06
Schilhawsky 1960   29  -0.0462  0.0020  0.0620  0.3090  0.0136  0.05
Shebanova 2002   84  -0.1383  0.0075  0.0283  0.0290  0.0187  0.01
Smith 1975   37  -0.0547  0.0046  0.0746  0.0790  0.0146  0.03
Sokolov 2002   85  -0.1337  0.0061  0.0456  0.0491  0.0151  0.02
Sztompka 1959   9  0.0041  0.0010  0.107  0.4789  0.027  0.10
Tomsic 1995   83  -0.1384  0.0086  0.0285  0.0291  0.0182  0.01
Uninsky 1932   31  -0.0446  0.0027  0.0627  0.2590  0.0226  0.07
Uninsky 1971   56  -0.0848  0.0044  0.0641  0.1490  0.0142  0.04
Wasowski 1980   22  -0.0322  0.0018  0.0710  0.4288  0.028  0.09
Zak 1937   21  -0.0351  0.0028  0.0524  0.2889  0.0224  0.07
Zak 1951   17  -0.0263  0.0019  0.0715  0.3589  0.0216  0.08
Average   70  -0.1091  0.0065  0.0367  0.0389  0.0162  0.02
Random 1   45  -0.0614  0.0139  0.0545  0.1045  0.124  0.11
Random 2   38  -0.0513  0.0132  0.0544  0.1339  0.132  0.13
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).