Hatto 1997

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Afanassiev 2001   25  0.4045  0.0016  0.1222  0.407  0.5914  0.49
Ashkenazy 1981   11  0.4825  0.0010  0.118  0.646  0.683  0.66
Beliavsky 2004   31  0.3818  0.0026  0.1224  0.3410  0.5618  0.44
BenOr 1989   36  0.353  0.0032  0.0832  0.1443  0.0737  0.10
Biret 1990   44  0.3446  0.0046  0.0647  0.0640  0.0649  0.06
Blet 2003   28  0.4026  0.0036  0.0839  0.0847  0.0646  0.07
Block 1995   22  0.4247  0.0030  0.0830  0.1833  0.1034  0.13
Brailowsky 1960   57  0.2648  0.0060  0.0455  0.0455  0.0650  0.05
Chiu 1999   18  0.4422  0.0021  0.0921  0.4313  0.4517  0.44
Clidat 1994   30  0.3815  0.0029  0.1328  0.2747  0.0633  0.13
Cohen 1997   24  0.409  0.0015  0.1019  0.454  0.6812  0.55
Coop 1987   4  0.5249  0.009  0.195  0.6625  0.3813  0.50
Cortot 1951   56  0.2727  0.0054  0.0457  0.0429  0.2338  0.10
Czerny 1949   60  0.2450  0.0056  0.0363  0.0356  0.0560  0.04
Czerny 1949b   58  0.262  0.0055  0.0358  0.0359  0.0463  0.03
Ezaki 2006   47  0.3228  0.0048  0.0548  0.0539  0.1042  0.07
Falvay 1989   27  0.4051  0.0031  0.0831  0.1529  0.1929  0.17
Ferenczy 1958   54  0.2829  0.0058  0.0264  0.0253  0.0664  0.03
Fiorentino 1962   53  0.2930  0.0050  0.0550  0.0556  0.0555  0.05
Fliere 1977   34  0.3652  0.0038  0.1233  0.1228  0.2328  0.17
Fou 1978   59  0.2531  0.0057  0.0361  0.0353  0.0559  0.04
Francois 1956   37  0.3532  0.0040  0.1035  0.1022  0.3227  0.18
Hatto 1997   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Horowitz 1971   45  0.3333  0.0037  0.1034  0.1033  0.1036  0.10
Horowitz 1985   62  0.2223  0.0061  0.0456  0.0456  0.0556  0.04
Indjic 2001   1  0.991  1.001  0.981  1.001  1.001  1.00
Kapell 1951   35  0.3610  0.0042  0.0744  0.0740  0.0745  0.07
Kiepura 1999   43  0.3434  0.0041  0.0937  0.0950  0.0543  0.07
Kilenyi 1937   51  0.3035  0.0053  0.0552  0.0554  0.0652  0.05
Kissin 1993   8  0.4919  0.0012  0.1911  0.6111  0.626  0.61
Kitain 1937   38  0.3553  0.0017  0.1327  0.2910  0.5123  0.38
Kushner 1990   13  0.4611  0.0020  0.0817  0.4725  0.3321  0.39
Levy 1951   55  0.2854  0.0059  0.0359  0.0343  0.0658  0.04
Luisada 1990   61  0.2355  0.0062  0.0453  0.0457  0.0461  0.04
Lushtak 2004   6  0.5036  0.004  0.254  0.6811  0.595  0.63
Lympany 1968   32  0.386  0.0028  0.0829  0.2129  0.2326  0.22
Magaloff 1977   49  0.3237  0.0047  0.0549  0.0539  0.0653  0.05
Magaloff 1977b   48  0.3220  0.0044  0.0645  0.0634  0.0648  0.06
Magin 1975   50  0.3138  0.0052  0.0646  0.0650  0.0551  0.05
Milkina 1970   3  0.5921  0.003  0.463  0.805  0.712  0.75
Mohovich 1999   16  0.4439  0.007  0.1313  0.558  0.619  0.58
Nadelmann 1956   26  0.4056  0.0024  0.1318  0.4753  0.0431  0.14
Ohlsson 1999   17  0.4416  0.0022  0.0916  0.4917  0.3120  0.39
Olejniczac 1990   52  0.3057  0.0051  0.0551  0.0552  0.0654  0.05
Olejniczak 1991   40  0.3458  0.0039  0.1036  0.1043  0.0840  0.09
Osinska 1989   23  0.4140  0.0033  0.0838  0.0846  0.0644  0.07
Paderewski 1912   33  0.3759  0.0035  0.0741  0.0726  0.2732  0.14
Perahia 1994   12  0.4812  0.005  0.139  0.6315  0.4910  0.56
Perlemuter 1986   5  0.5060  0.008  0.136  0.6510  0.557  0.60
Poblocka 1999   46  0.3341  0.0049  0.0454  0.0446  0.0557  0.04
Rangell 2001   9  0.4942  0.0011  0.137  0.655  0.674  0.66
Risler 1920   41  0.3413  0.0043  0.0743  0.0741  0.0647  0.06
Rosen 1989   63  0.1061  0.0063  0.0360  0.0360  0.0365  0.03
Rubinstein 1939   10  0.494  0.006  0.1410  0.629  0.558  0.58
Rubinstein 1952   19  0.447  0.0018  0.0923  0.3827  0.2924  0.33
Rubinstein 1966   7  0.5043  0.0013  0.1114  0.5327  0.2722  0.38
Rummel 1943   42  0.3462  0.0034  0.0740  0.0720  0.2635  0.13
Shebanova 2002   21  0.4263  0.0027  0.1126  0.3037  0.0830  0.15
Smith 1975   29  0.3917  0.0025  0.1525  0.3217  0.2825  0.30
Szpilman 1948   39  0.3564  0.0045  0.0742  0.0734  0.1139  0.09
Uninsky 1971   14  0.4665  0.0014  0.1312  0.5814  0.5311  0.55
Wasowski 1980   15  0.4566  0.0019  0.1215  0.5214  0.4215  0.47
Weissenberg 1971   20  0.4414  0.0023  0.1420  0.4412  0.4319  0.43
Average   2  0.635  0.002  0.482  0.8623  0.2516  0.46
Random 1    66  -0.0344  0.0066  0.0166  0.0149  0.0366  0.02
Random 2   64  0.0024  0.0064  0.0362  0.0323  0.2841  0.09
Random 3   65  -0.018  0.0065  0.0265  0.0236  0.0762  0.04

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).