WINETASTER ON 05/16/02 WITH 5 JUDGES AND 7 WINES BASED ON RANKS, IDENT=N
Copyright (c) 1995-2002 Richard E. Quandt
FLIGHT 1:
Number of Judges = 5
Number of Wines = 7
Identification of the Wine: The judges' overall ranking:
Wine A is Caymus Special Selection 1992 tied for 3rd place
Wine B is 1997 ........ 7th place
Wine C is 1996 ........ 5th place
Wine D is 1988 ........ 6th place
Wine E is 1998 ........ 1st place
Wine F is 1994 ........ 2nd place
Wine G is 1987 tied for 3rd place
The Judges's Rankings
Judge Wine -> A B C D E F G
Malcolm 6. 5. 3. 7. 2. 1. 4.
Tom 7. 5. 6. 4. 1. 3. 2.
Manny 2. 3. 6. 7. 1. 4. 5.
Hal 3. 7. 5. 1. 2. 4. 6.
Bob 4. 7. 3. 6. 1. 2. 5.
Table of Votes Against
Wine -> A B C D E F G
Group Ranking -> 3 7 5 6 1 2 3
Votes Against -> 22 27 23 25 7 14 22
( 5 is the best possible, 35 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 = 0.4229
The probability that random chance could be responsible for this correlation
is quite small, 0.0483. 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 0.6847
Malcolm 0.4505
Tom 0.3214
Manny 0.1261
Hal 0.0000
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 1998
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2. ........ 2nd place Wine F is 1994
3. tied for 3rd place Wine A is Caymus Special Selection 1992
4. tied for 3rd place Wine G is 1987
5. ........ 5th place Wine C is 1996
6. ........ 6th place Wine D is 1988
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7. ........ 7th place Wine B is 1997
We now test whether the ranksums AS A WHOLE provide a significant ordering.
The Friedman Chi-square value is 12.6857. The probability that this could
happen by chance is 0.0483
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
Malcolm Tom Manny
Malcolm 1.000 0.500 0.286
Tom 0.500 1.000 0.143
Manny 0.286 0.143 1.000
Hal -0.179 0.143 0.000
Bob 0.786 0.357 0.393
Hal Bob
Malcolm -0.179 0.786
Tom 0.143 0.357
Manny 0.000 0.393
Hal 1.000 0.357
Bob 0.357 1.000
Pairwise correlations in descending order
0.786 Malcolm and Bob Significantly positive
0.500 Malcolm and Tom Not significant
0.393 Manny and Bob Not significant
0.357 Tom and Bob Not significant
0.357 Hal and Bob Not significant
0.286 Malcolm and Manny Not significant
0.143 Tom and Hal Not significant
0.143 Tom and Manny Not significant
0.000 Manny and Hal Not significant
-0.179 Malcolm and Hal Not significant
COMMENTS:
This wine tasting was held in Bermuda, by our Bermuda member Bob.
These wines were all in excellent shape and tasting well, including the youngest.
In fact, the very youngest, the 1998, had a stunning score of three first place and two
second place votes, which was as close to a perfect score as many of us have seen.
Interestingly, it was among the vintages least favored by Parker. The 1998 had quintessential
Caymus characteristics: full body, blackcurrant, toasty oak and spicy quality.
All the wines to one extent or another, exhibited similar characteristics, but the
1998 was overwhelming. This tasting seems to confirm that Caymus Special Selection
is an outstanding Cabernet and one that can be drunk young.
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