WINETASTER ON 10-13-06 WITH 13 JUDGES AND  8 WINES BASED ON RANKS,
                Copyright (c) 1995-2006
Wine Tasting on Oct 6, 2006 in Montclair, NJ
                 Number of judges = 13
                 Number of wines  =  8
          The wines and their identifying code designations
                 Wine name                                     Code
               Dumas Station, Cabernet, Walla Walla 03           A
               Chateau Gloria, St Julien, 03                     B
               Ch La Vielle Cure, Fronsac, 03                    C
               Whitman Cellars, Merlot, Walla Walla 03           D
               Covey Run, Cabernet, Columbia River 03            E
               Ch de la Haute Libarde, Cote de Bourg, 03         F
               Woodward Canyon, Cab, Columbia River 03           G
               Ch Phelan-Segur, St Julien, 03                    H
                       Rank Table for Judges
Judge       Wine ->   A   B   C   D   E   F   G   H
Paul                  1.  4.  3.  6.  2.  8.  5.  7.
Robert                3.  2.  5.  1.  4.  7.  6.  8.
Craig                 5.  2.  4.  7.  3.  8.  1.  6.
David                 7.  3.  6.  1.  5.  4.  2.  8.
Andy                  6.  2.  3.  1.  4.  8.  5.  7.
Jordan                4.  7.  6.  2.  3.  8.  1.  5.
Adam                  3.  5.  8.  2.  4.  6.  7.  1.
Loren                 5.  3.  6.  1.  2.  8.  7.  4.
Bruce                 6.  4.  7.  1.  3.  5.  2.  8.
Ben                   6.  5.  7.  1.  4.  8.  3.  2.
Richard               3.  2.  8.  4.  7.  6.  1.  5.
Diego                 4.  2.  5.  6.  1.  3.  8.  7.
Karl                  3.  2.  5.  1.  7.  8.  4.  6.
                       Table of Votes Against
             Wine ->   A   B   C   D   E   F   G   H
       Rank
        1              1.  0.  0.  7.  1.  0.  3.  1.
        2              0.  6.  0.  2.  2.  0.  2.  1.
        3              4.  2.  2.  0.  3.  1.  1.  0.
        4              2.  2.  1.  1.  4.  1.  1.  1.
        5              2.  2.  3.  0.  1.  1.  2.  2.
        6              3.  0.  3.  2.  0.  2.  1.  2.
        7              1.  1.  2.  1.  2.  1.  2.  3.
        8              0.  0.  2.  0.  0.  7.  1.  3.
        Votes ->      56. 43. 73. 34. 49. 87. 52. 74.
We now measure the amount of correlation (W) among the judges:
W = 1.0 => perfect correlation, W = 0 => no correlation
We also provide a probability measure that this correlation is due to chance
In this case the correlation is =     0.3159
Probability that correlation is due to chance = 0.0002
We compute the correlation of each taster with the average ranking of the oth-
ers and with prices. 1.0 => perfect, 0 => none, -1.0 => total disagreement
Name of Person   Correlation R  Correlation Price
Robert                0.7857        -0.2036
Andy                  0.7619         0.1078
Karl                  0.7306         0.3952
Bruce                 0.7109        -0.0599
Loren                 0.6429         0.0359
Ben                   0.5476         0.6467
Jordan                0.5238         0.3234
David                 0.4762         0.0838
Richard               0.4048         0.4311
Craig                 0.3114         0.0958
Paul                  0.2036        -0.4192
Adam                  0.1557         0.2275
Diego                -0.0714        -0.8743
Rank correlation between the average ranking of wines and the prices
    Correlation =  0.0479
Critical value =  0.5240
Table of Aggregate Wine Quality
  Wine  Ranksum  Significance             Wine  Ranksum  Significance
       Alphabetic Order                        Ranksum Order
   A   56.0                                D   34.0  SIGNIFICANTLY HIGH QUALITY
   B   43.0                                B   43.0
   C   73.0                                E   49.0
   D   34.0  SIGNIFICANTLY HIGH QUALITY    G   52.0
   E   49.0                                A   56.0
   F   87.0  SIGNIFICANTLY LOW QUALITY     C   73.0
   G   52.0                                H   74.0  SIGNIFICANTLY LOW QUALITY
   H   74.0  SIGNIFICANTLY LOW QUALITY     F   87.0  SIGNIFICANTLY LOW QUALITY
Friedman Test: Chi-square =    28.7436 Probability =     0.0002
Identification of Wines                                Votes Against
Wine A is Dumas Station, Cabernet, Walla Walla 03          56.
Wine B is Chateau Gloria, St Julien, 03                    43.
Wine C is Ch La Vielle Cure, Fronsac, 03                   73.
Wine D is Whitman Cellars, Merlot, Walla Walla 03          34.
Wine E is Covey Run, Cabernet, Columbia River 03           49.
Wine F is Ch de la Haut Libarde, Cote de Bourg, 03         87.
Wine G is Woodward Canyon, Cab, Columbia River 03          52.
Wine H is Ch Phelan-Segur, St Julien, 03                   74.
                           Pairwise Rank Correlations
   Correlations must exceed in absolute value  0.74  for significance at the 0.0
level and must exceed  0.64 for significance at the 0.1 level
                  Paul             Robert           Craig
Paul              1.000            0.476            0.524
Robert            0.476            1.000            0.143
Craig             0.524            0.143            1.000
David            -0.262            0.476            0.167
Andy              0.310            0.810            0.333
Jordan            0.238            0.238            0.333
Adam             -0.119            0.167           -0.429
Loren             0.238            0.667            0.024
Bruce            -0.024            0.548            0.238
Ben              -0.190            0.190            0.095
Richard          -0.024            0.262            0.405
Diego             0.381            0.333            0.024
Karl              0.238            0.786            0.214
                  David            Andy             Jordan
Paul             -0.262            0.310            0.238
Robert            0.476            0.810            0.238
Craig             0.167            0.333            0.333
David             1.000            0.548            0.333
Andy              0.548            1.000            0.286
Jordan            0.333            0.286            1.000
Adam             -0.238           -0.048            0.214
Loren             0.167            0.667            0.333
Bruce             0.905            0.524            0.595
Ben               0.286            0.357            0.714
Richard           0.429            0.095            0.357
Diego            -0.071            0.095           -0.476
Karl              0.452            0.714            0.357
                  Adam             Loren            Bruce
Paul             -0.119            0.238           -0.024
Robert            0.167            0.667            0.548
Craig            -0.429            0.024            0.238
David            -0.238            0.167            0.905
Andy             -0.048            0.667            0.524
Jordan            0.214            0.333            0.595
Adam              1.000            0.643           -0.048
Loren             0.643            1.000            0.357
Bruce            -0.048            0.357            1.000
Ben               0.619            0.643            0.429
Richard           0.119            0.000            0.405
Diego            -0.071            0.238            0.024
Karl              0.214            0.476            0.405
                  Ben              Richard          Diego
Paul             -0.190           -0.024            0.381
Robert            0.190            0.262            0.333
Craig             0.095            0.405            0.024
David             0.286            0.429           -0.071
Andy              0.357            0.095            0.095
Jordan            0.714            0.357           -0.476
Adam              0.619            0.119           -0.071
Loren             0.643            0.000            0.238
Bruce             0.429            0.405            0.024
Ben               1.000            0.357           -0.500
Richard           0.357            1.000           -0.333
Diego            -0.500           -0.333            1.000
Karl              0.429            0.619           -0.238
                  Karl
Paul              0.238
Robert            0.786
Craig             0.214
David             0.452
Andy              0.714
Jordan            0.357
Adam              0.214
Loren             0.476
Bruce             0.405
Ben               0.429
Richard           0.619
Diego            -0.238
Karl              1.000
                     Pairwise correlations in descending order
    0.905   David            and Bruce              Significantly positive
    0.810   Robert           and Andy               Significantly positive
    0.786   Robert           and Karl               Significantly positive
    0.714   Jordan           and Ben                Significantly positive
    0.714   Andy             and Karl               Significantly positive
    0.667   Robert           and Loren              Significantly positive
    0.667   Andy             and Loren              Significantly positive
    0.643   Loren            and Ben                Not significant
    0.643   Adam             and Loren              Not significant
    0.619   Richard          and Karl               Not significant
    0.619   Adam             and Ben                Not significant
    0.595   Jordan           and Bruce              Not significant
    0.548   David            and Andy               Not significant
    0.548   Robert           and Bruce              Not significant
    0.524   Andy             and Bruce              Not significant
    0.524   Paul             and Craig              Not significant
    0.476   Paul             and Robert             Not significant
    0.476   Loren            and Karl               Not significant
    0.476   Robert           and David              Not significant
    0.452   David            and Karl               Not significant
    0.429   Ben              and Karl               Not significant
    0.429   Bruce            and Ben                Not significant
    0.429   David            and Richard            Not significant
    0.405   Bruce            and Richard            Not significant
    0.405   Bruce            and Karl               Not significant
    0.405   Craig            and Richard            Not significant
    0.381   Paul             and Diego              Not significant
    0.357   Ben              and Richard            Not significant
    0.357   Jordan           and Richard            Not significant
    0.357   Loren            and Bruce              Not significant
    0.357   Andy             and Ben                Not significant
    0.357   Jordan           and Karl               Not significant
    0.333   Craig            and Jordan             Not significant
    0.333   Jordan           and Loren              Not significant
    0.333   David            and Jordan             Not significant
    0.333   Craig            and Andy               Not significant
    0.333   Robert           and Diego              Not significant
    0.310   Paul             and Andy               Not significant
    0.286   David            and Ben                Not significant
    0.286   Andy             and Jordan             Not significant
    0.262   Robert           and Richard            Not significant
    0.238   Paul             and Jordan             Not significant
    0.238   Paul             and Loren              Not significant
    0.238   Paul             and Karl               Not significant
    0.238   Loren            and Diego              Not significant
    0.238   Robert           and Jordan             Not significant
    0.238   Craig            and Bruce              Not significant
    0.214   Adam             and Karl               Not significant
    0.214   Craig            and Karl               Not significant
    0.214   Jordan           and Adam               Not significant
    0.190   Robert           and Ben                Not significant
    0.167   David            and Loren              Not significant
    0.167   Craig            and David              Not significant
    0.167   Robert           and Adam               Not significant
    0.143   Robert           and Craig              Not significant
    0.119   Adam             and Richard            Not significant
    0.095   Craig            and Ben                Not significant
    0.095   Andy             and Diego              Not significant
    0.095   Andy             and Richard            Not significant
    0.024   Craig            and Loren              Not significant
    0.024   Craig            and Diego              Not significant
    0.024   Bruce            and Diego              Not significant
    0.000   Loren            and Richard            Not significant
   -0.024   Paul             and Bruce              Not significant
   -0.024   Paul             and Richard            Not significant
   -0.048   Adam             and Bruce              Not significant
   -0.048   Andy             and Adam               Not significant
   -0.071   Adam             and Diego              Not significant
   -0.071   David            and Diego              Not significant
   -0.119   Paul             and Adam               Not significant
   -0.190   Paul             and Ben                Not significant
   -0.238   Diego            and Karl               Not significant
   -0.238   David            and Adam               Not significant
   -0.262   Paul             and David              Not significant
   -0.333   Richard          and Diego              Not significant
   -0.429   Craig            and Adam               Not significant
   -0.476   Jordan           and Diego              Not significant
   -0.500   Ben              and Diego              Not significant
  Comments: This was a wine tasting with a total of 26 judges. The group was divided into two sub-groups 
(in two different rooms): 13 men and 13 women. Note that the two groups (Report101 
and Report102) tasted identical wines. The two groups agreed on which wine was significantly good
and on one of the wines that was significantly bad, but they did not agree on a second wine that
was significantly bad. The rank correlation between the two groups' aggregate evaluations was
0.472, which is not significant statistically at even the 0.1 level.
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