WINETASTER ON 01/06/00 WITH  8 JUDGES AND  5 WINES BASED ON RANKS,  IDENT=N   
                      Copyright (c) 1995-2000 Richard E. Quandt                  
                                                                                






                                     FLIGHT 1:
                              Number of Judges =  8
                              Number of Wines  =  5


  Identification of the Wine:                   The judges' overall ranking:


  Wine A is Wehlener Sonnenuhr,Spätlese 71                ........  5th place
  Wine B is Schoenborn,Erbacher Marcobrunn,Spätlese 71    ........  4th place
  Wine C is Schneider,Wehlener Klosterhofgut,Auslese 75   ........  2nd place
  Wine D is Hohe Domkirche,Scharzhofberger,Auslese 76     ........  3rd place
  Wine E is Deinhard, Oestricher Doosberg, Auslese 76     ........  1st place


                        The Judges's Rankings


  Judge       Wine ->   A   B   C   D   E                                       
                                                                                
  Tom                   5.  3.  2.  4.  1.                                      
  Grant                 5.  4.  3.  2.  1.                                      
  Frank                 5.  4.  3.  2.  1.                                      
  Orley                 4.  5.  3.  1.  2.                                      
  John                  5.  4.  2.  3.  1.                                      
  Markus                4.  2.  3.  5.  1.                                      
  Michael               5.  3.  2.  4.  1.                                      
  Karl                  5.  4.  1.  2.  3.                                      


                        Table of Votes Against                                  
                                                                                
              Wine ->   A   B   C   D   E                                       


     Group Ranking ->   5   4   2   3   1
     Votes Against ->  38  29  19  23  11


     ( 8 is the best possible,  40 is the worst)




 Here is a measure of the correlation in the preferences of the judges which
 ranges between 1.0 (perfect correlation) and 0.0 (no correlation):


     W = 0.6500




 The probability that random chance could be responsible for this correlation
 is quite small, 0.0003. Most analysts would say that unless this
 probability is less than 0.1, the judges' preferences are not strongly
 related.
 We now analyze how each taster's preferences are correlated with the group
 preference. A correlation of 1.0 means that the taster's preferences are a
 perfect predictor of the group's preferences. A 0.0 means no correlation,
 while a -1.0 means that the taster has the reverse ranking of the group.
 This is measured by the correlation R.


       Correlation Between the Ranks of
 Each Person With the Average Ranking of Others


  Name of Person      Correlation R                                             
                                                                                
  John                  1.0000                                                  
  Grant                 0.9000                                                  
  Frank                 0.9000                                                  
  Tom                   0.9000                                                  
  Michael               0.9000                                                  
  Karl                  0.7000                                                  
  Orley                 0.6000                                                  
  Markus                0.5000                                                  
                                                                                
                                                                                




The wines were preferred by the judges in the following order. When the
preferences of the judges are strong enough to permit meaningful differentiation
among the wines, they are separated by -------------------- and are judged to be
significantly different.


  1.   ........  1st place    Wine E is Deinhard, Oestricher Doosberg, Auslese 76
---------------------------------------------------
  2.   ........  2nd place    Wine C is Schneider,Wehlener Klosterhofgut,Auslese 75
  3.   ........  3rd place    Wine D is Hohe Domkirche,Scharzhofberger,Auslese 76
  4.   ........  4th place    Wine B is Schoenborn,Erbacher Marcobrunn,Spätlese 71
---------------------------------------------------
  5.   ........  5th place    Wine A is nn,Wehlener Sonnenuhr,Spätlese 71     

   We now test whether the ranksums AS A WHOLE provide a significant ordering.
 The Friedman Chi-square value is 20.8000. The probability that this could
 happen by chance is 0.0003

   We now undertake a more detailed examination of the pair-wise rank correla-
tions that exist between pairs of judges. First, we present a table in which you
can find the correlation for any pair of judges, by finding one of the names in the
left hand margin and the other name on top of a column. A second table arranges
these correlations in descending order and marks which is significantly positive
significantly negative, or not significant. This may allow you to find clusters
of judges whose rankings were particularly similar or particularly dissimilar.
                                                                                
                           Pairwise Rank Correlations                           
                                                                                
Correlations must exceed in absolute value  1.00 for significance at the 0.05   
level and must exceed  0.90 for significance at the 0.1 level                   
                                                                                
                                                                                
                  Tom              Grant            Frank                       
                                                                                
Tom               1.000            0.700            0.700                       
Grant             0.700            1.000            1.000                       
Frank             0.700            1.000            1.000                       
Orley             0.200            0.800            0.800                       
John              0.900            0.900            0.900                       
Markus            0.800            0.300            0.300                       
Michael           1.000            0.700            0.700                       
Karl              0.500            0.600            0.600                       
                                                                                
                  Orley            John             Markus                      
                                                                                
Tom               0.200            0.900            0.800                       
Grant             0.800            0.900            0.300                       
Frank             0.800            0.900            0.300                       
Orley             1.000            0.600           -0.300                       
John              0.600            1.000            0.500                       
Markus           -0.300            0.500            1.000                       
Michael           0.200            0.900            0.800                       
Karl              0.600            0.700           -0.100                       
                                                                                
                  Michael          Karl                                         
                                                                                
Tom               1.000            0.500                                        
Grant             0.700            0.600                                        
Frank             0.700            0.600                                        
Orley             0.200            0.600                                        
John              0.900            0.700                                        
Markus            0.800           -0.100                                        
Michael           1.000            0.500                                        
Karl              0.500            1.000                                        
                                                                                
                     Pairwise correlations in descending order                  
                                                                                
    1.000   Grant            and Frank              Significantly positive      
    1.000   Tom              and Michael            Significantly positive      
    0.900   Frank            and John               Significantly positive      
    0.900   Tom              and John               Significantly positive      
    0.900   Grant            and John               Significantly positive      
    0.900   John             and Michael            Significantly positive      
    0.800   Grant            and Orley              Not significant             
    0.800   Tom              and Markus             Not significant             
    0.800   Markus           and Michael            Not significant             
    0.800   Frank            and Orley              Not significant             
    0.700   John             and Karl               Not significant             
    0.700   Tom              and Frank              Not significant             
    0.700   Grant            and Michael            Not significant             
    0.700   Frank            and Michael            Not significant             
    0.700   Tom              and Grant              Not significant             
    0.600   Grant            and Karl               Not significant             
    0.600   Orley            and John               Not significant             
    0.600   Frank            and Karl               Not significant             
    0.600   Orley            and Karl               Not significant             
    0.500   Tom              and Karl               Not significant             
    0.500   Michael          and Karl               Not significant             
    0.500   John             and Markus             Not significant             
    0.300   Frank            and Markus             Not significant             
    0.300   Grant            and Markus             Not significant             
    0.200   Tom              and Orley              Not significant             
    0.200   Orley            and Michael            Not significant             
   -0.100   Markus           and Karl               Not significant             
   -0.300   Orley            and Markus             Not significant             










 COMMENT:

  Most tasters thought the first two wines were oxidized, gone.             
  ThDark Brown color appealed to others, who liked the shellack tone, esp B.
                                                                            
  This is the description of the first two, 1971 wines.                     
                                                                            
  There was a noticable gap between the first two wines and the last three. 
  At least from the point of view of many tasters!  Among the three highest 
  ranking wines, there was some agreement, but it was not terribly strong.  
                                                                            
  The Oestricher Doosberg 1976 was ranked first by virtually all tasters.   
  As as bonus we opened a 1971 Siebeldinger Koenigsgarten Beerenauslese,    
  which also had the "Firn(e)" character of the 1971s, but without any     
  objections to the quality!                                                
                                                                            
  The tasting makes it clear that 1971s of spätlese level, depending on your
  tastes, should probably have been consumed by now.  It would be           
  interesting to see what a tasting of 1971 ausleses would show today.      

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