WINETASTER ON 10/04/10 WITH 8 JUDGES AND 8 WINES BASED ON RANKS, IDENT=N
Copyright (c) 1995-2010 Richard E. Quandt, V. 1.65
FLIGHT 1:
Number of Judges = 8
Number of Wines = 8
Identification of the Wine: The judges' overall ranking:
Wine A is Catena Zapata, Catena Alta 2006 ........ 5th place
Wine B is Trapiche Cristina y Bibiana 2006 ........ 3rd place
Wine C is Enrique Foster Limited Edition 2003 tied for 1st place
Wine D is Achaval Ferrer Finca Mirador 2005 ........ 8th place
Wine E is Achaval Ferrer Finca Altamira La Consulta 2002........ 7th place
Wine F is Trapiche Frederico Vilafañe 2006 ........ 4th place
Wine G is Achaval Ferrer Finca Altamira 2000 tied for 1st place
Wine H is Catena Zapata Argentino 2006 ........ 6th place
The Judges's Rankings
Judge Wine -> A B C D E F G H
John 8. 3. 4. 7. 6. 5. 1. 2.
Mike 2. 3. 1. 5. 6. 7. 4. 8.
Bob 2. 6. 1. 8. 7. 3. 4. 5.
Jack 3. 1. 2. 4. 7. 6. 8. 5.
Burt 5. 6. 7. 4. 8. 3. 1. 2.
Ed 6. 7. 4. 8. 3. 5. 1. 2.
Orley 4. 6. 7. 3. 2. 1. 8. 5.
Dick 6. 1. 3. 7. 4. 5. 2. 8.
Table of Votes Against
Wine -> A B C D E F G H
Group Ranking -> 5 3 1 8 7 4 1 6
Votes Against -> 36 33 29 46 43 35 29 37
( 8 is the best possible, 64 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 = 0.0960
The probability that random chance could be responsible for this correlation
is rather large, 0.6143. 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
Bob 0.4311
John 0.2530
Dick 0.1687
Mike 0.0719
Ed 0.0120
Jack -0.1437
Burt -0.1916
Orley -0.8982
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. tied for 1st place Wine C is Enrique Foster Limited Edition 2003
2. tied for 1st place Wine G is Achaval Ferrer Finca Altamira 2000
3. ........ 3rd place Wine B is Trapiche Cristina y Bibiana 2006
4. ........ 4th place Wine F is Trapiche Frederico Vilafañe 2006
5. ........ 5th place Wine A is Catena Zapata, Catena Alta 2006
6. ........ 6th place Wine H is Catena Zapata Argentino 2006
7. ........ 7th place Wine E is Achaval Ferrer Finca Altamira La Consulta 2002
8. ........ 8th place Wine D is Achaval Ferrer Finca Mirador 2005
We now test whether the ranksums AS A WHOLE provide a significant ordering.
The Friedman Chi-square value is 5.3750. The probability that this could
happen by chance is 0.6143
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 0.74 for significance at the 0.05
level and must exceed 0.64 for significance at the 0.1 level
John Mike Bob
John 1.000 -0.167 0.071
Mike -0.167 1.000 0.476
Bob 0.071 0.476 1.000
Jack -0.214 0.595 0.190
Burt 0.476 -0.429 0.048
Ed 0.643 -0.286 0.238
Orley -0.667 -0.548 -0.310
Dick 0.405 0.524 0.143
Jack Burt Ed
John -0.214 0.476 0.643
Mike 0.595 -0.429 -0.286
Bob 0.190 0.048 0.238
Jack 1.000 -0.452 -0.667
Burt -0.452 1.000 0.333
Ed -0.667 0.333 1.000
Orley -0.214 -0.190 -0.357
Dick 0.119 -0.286 0.095
Orley Dick
John -0.667 0.405
Mike -0.548 0.524
Bob -0.310 0.143
Jack -0.214 0.119
Burt -0.190 -0.286
Ed -0.357 0.095
Orley 1.000 -0.500
Dick -0.500 1.000
Pairwise correlations in descending order
0.643 John and Ed Not significant
0.595 Mike and Jack Not significant
0.524 Mike and Dick Not significant
0.476 Mike and Bob Not significant
0.476 John and Burt Not significant
0.405 John and Dick Not significant
0.333 Burt and Ed Not significant
0.238 Bob and Ed Not significant
0.190 Bob and Jack Not significant
0.143 Bob and Dick Not significant
0.119 Jack and Dick Not significant
0.095 Ed and Dick Not significant
0.071 John and Bob Not significant
0.048 Bob and Burt Not significant
-0.167 John and Mike Not significant
-0.190 Burt and Orley Not significant
-0.214 Jack and Orley Not significant
-0.214 John and Jack Not significant
-0.286 Mike and Ed Not significant
-0.286 Burt and Dick Not significant
-0.310 Bob and Orley Not significant
-0.357 Ed and Orley Not significant
-0.429 Mike and Burt Not significant
-0.452 Jack and Burt Not significant
-0.500 Orley and Dick Not significant
-0.548 Mike and Orley Not significant
-0.667 John and Orley Significantly negative
-0.667 Jack and Ed Significantly negative
COMMENT:
These wines were incredibly similar and all were very delicious but not
very interesting in the bouquet, although not unpleasant. They would be good
wines with steak, rich cheeses and patés. These are very interesting
wines, according to one participant, and they are not cheap and
cheerful and they are serious wines. They seem to mature successfully
at an early age and hold their plateau. It is interesting to note that the
three most expensive wines ranked at the bottom of our rankings. There seemed to
be no pattern favoring the relative younger or older wines. In any event, it would
be interesting to see what happens to these wines in another ten years or more.
Overall, a great start for the new season.
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