WINETASTER ON 05/02/11 WITH 7 JUDGES AND 7 WINES BASED ON RANKS, IDENT=N
Copyright (c) 1995-2011 Richard E. Quandt, V. 1.65
A Tasting of Hermitage La Chappelle
FLIGHT 1:
Number of Judges = 7
Number of Wines = 7
Identification of the Wine: The judges' overall ranking:
Wine A is 1988 tied for 5th place
Wine B is 1982 ........ 1st place
Wine C is 1985 ........ 3rd place
Wine D is 1989 ........ 4th place
Wine E is 1983 ........ 7th place
Wine F is 1990 tied for 5th place
Wine G is 1979 ........ 2nd place
The Judges's Rankings
Judge Wine -> A B C D E F G
Burt 3. 1. 6. 5. 4. 2. 7.
Orley 7. 1. 2. 3. 4. 5. 6.
Ed 7. 2. 5. 6. 3. 4. 1.
John 2. 3. 1. 5. 7. 6. 4.
Bob 4. 1. 5. 2. 7. 6. 3.
Zaki 7. 6. 5. 4. 2. 3. 1.
Dick 2. 1. 3. 5. 7. 6. 4.
Table of Votes Against
Wine -> A B C D E F G
Group Ranking -> 5 1 3 4 7 5 2
Votes Against -> 32 15 27 30 34 32 26
( 7 is the best possible, 49 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 = 0.1793
The probability that random chance could be responsible for this correlation
is rather large, 0.2745. 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
Dick 0.4286
Bob 0.2162
Orley 0.1637
John 0.0541
Ed -0.0360
Burt -0.1802
Zaki -0.5766
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 B is 1982
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2. ........ 2nd place Wine G is 1979
3. ........ 3rd place Wine C is 1985
4. ........ 4th place Wine D is 1989
5. tied for 5th place Wine F is 1990
6. tied for 5th place Wine A is 1988
7. ........ 7th place Wine E is 1983
We now test whether the ranksums AS A WHOLE provide a significant ordering.
The Friedman Chi-square value is 7.5306. The probability that this could
happen by chance is 0.2745
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 0.79 for significance at the 0.05
level and must exceed 0.71 for significance at the 0.1 level
Burt Orley Ed
Burt 1.000 0.179 -0.071
Orley 0.179 1.000 0.179
Ed -0.071 0.179 1.000
John -0.143 0.143 -0.286
Bob 0.071 0.321 0.107
Zaki -0.500 -0.214 0.607
Dick 0.214 0.214 -0.071
John Bob Zaki
Burt -0.143 0.071 -0.500
Orley 0.143 0.321 -0.214
Ed -0.286 0.107 0.607
John 1.000 0.393 -0.679
Bob 0.393 1.000 -0.357
Zaki -0.679 -0.357 1.000
Dick 0.857 0.679 -0.750
Dick
Burt 0.214
Orley 0.214
Ed -0.071
John 0.857
Bob 0.679
Zaki -0.750
Dick 1.000
Pairwise correlations in descending order
0.857 John and Dick Significantly positive
0.679 Bob and Dick Not significant
0.607 Ed and Zaki Not significant
0.393 John and Bob Not significant
0.321 Orley and Bob Not significant
0.214 Orley and Dick Not significant
0.214 Burt and Dick Not significant
0.179 Orley and Ed Not significant
0.179 Burt and Orley Not significant
0.143 Orley and John Not significant
0.107 Ed and Bob Not significant
0.071 Burt and Bob Not significant
-0.071 Burt and Ed Not significant
-0.071 Ed and Dick Not significant
-0.143 Burt and John Not significant
-0.214 Orley and Zaki Not significant
-0.286 Ed and John Not significant
-0.357 Bob and Zaki Not significant
-0.500 Burt and Zaki Not significant
-0.679 John and Zaki Not significant
-0.750 Zaki and Dick Significantly negative
COMMENT:
For famous winewriters the '89 and '90 are the top wines but for us
the '82 and '79 were the tops. We clearly do not agree with Parker's
assesments since we ranked the '82 first and the '79 and '85 close
together and second. Clearly the older wines were clearly the preferred
wines for us.
The wines were all outstanding, with a strong and wonderful bouquet,
but they evolved in the glass and they were almost indistinguishable
by the end of the tasting. It should be noted that we are comparing here
our tastings with Parker's tastings as of 5 years ago. Also, the wines
immediately oversame us with their bouquets, which were powerful and
excellent, and their taste was all fantastic.
It is noteworthy that the wines other than the number one ranked wine were
all very comparable and all phenomenal.
It is also reasonable to believe that the 89 and 90 will develop further.
An interesting observation about the sensitivity of the numerical results is
the following. If the one person who ranked wine B 6th and wine G first had
reversed his rankings between these two wines, the Kendall W coefficient would
have increased to 0.2959 and the probability that this event could have
occurred by chance would have changed from O.2745 to 0.0531, which is near statistical
significance. Hence, statistical significance requires more than just casual agreement.
Reader's of these notes may wish to compare these tastings with another Hermitage La
Chappelle tasting that took place in January 2001.
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