WINETASTER ON 11/03/08 WITH 6 JUDGES AND 7 WINES BASED ON RANKS, IDENT=N
Copyright (c) 1995-2008 Richard E. Quandt, V. 1.65
FLIGHT 1:
Number of Judges = 6
Number of Wines = 7
Identification of the Wine: The judges' overall ranking:
Wine A is Ch. Latour '65 ........ 7th place
Wine B is Ch. Latour '79 tied for 4th place
Wine C is Ch. Pichon Longueville Baron '75 ........ 6th place
Wine D is Ch. Latour '53 ........ 1st place
Wine E is Ch. Mouton Rothschild '67 ........ 3rd place
Wine F is Ch. Latour '80 ........ 2nd place
Wine G is Ch. Latour '83 tied for 4th place
The Judges's Rankings
Judge Wine -> A B C D E F G
John 7. 3. 5. 1. 4. 2. 6.
Mike 7. 5. 6. 1. 3. 4. 2.
Burt 7. 3. 6. 1. 5. 2. 4.
Bob 7. 6. 5. 3. 4. 1. 2.
Ed 7. 5. 3. 2. 4. 1. 6.
Dick 3. 5. 4. 1. 2. 6. 7.
Table of Votes Against
Wine -> A B C D E F G
Group Ranking -> 7 4 6 1 3 2 4
Votes Against -> 38 27 29 9 22 16 27
( 6 is the best possible, 42 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 = 0.5278
The probability that random chance could be responsible for this correlation
is quite small, 0.0042. 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 0.7928
Burt 0.7207
Ed 0.7143
Mike 0.6071
Bob 0.5357
Dick 0.0901
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 D is Ch. Latour '53
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2. ........ 2nd place Wine F is Ch. Latour '80
3. ........ 3rd place Wine E is Ch. Mouton Rothschild '67
4. tied for 4th place Wine G is Ch. Latour '83
5. tied for 4th place Wine B is Ch. Latour '79
6. ........ 6th place Wine C is Ch. Pichon Longueville Baron '75
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7. ........ 7th place Wine A is Ch. Latour '65
We now test whether the ranksums AS A WHOLE provide a significant ordering.
The Friedman Chi-square value is 19.0000. The probability that this could
happen by chance is 0.0042
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
John Mike Burt
John 1.000 0.536 0.893
Mike 0.536 1.000 0.714
Burt 0.893 0.714 1.000
Bob 0.464 0.714 0.643
Ed 0.821 0.357 0.643
Dick 0.250 0.107 -0.036
Bob Ed Dick
John 0.464 0.821 0.250
Mike 0.714 0.357 0.107
Burt 0.643 0.643 -0.036
Bob 1.000 0.607 -0.357
Ed 0.607 1.000 0.143
Dick -0.357 0.143 1.000
Pairwise correlations in descending order
0.893 John and Burt Significantly positive
0.821 John and Ed Significantly positive
0.714 Mike and Burt Significantly positive
0.714 Mike and Bob Significantly positive
0.643 Burt and Ed Not significant
0.643 Burt and Bob Not significant
0.607 Bob and Ed Not significant
0.536 John and Mike Not significant
0.464 John and Bob Not significant
0.357 Mike and Ed Not significant
0.250 John and Dick Not significant
0.143 Ed and Dick Not significant
0.107 Mike and Dick Not significant
-0.036 Burt and Dick Not significant
-0.357 Bob and Dick Not significant
COMMENT:
It is very unusual to taste such a great range of distinguished wines
including a variety of great and off vintages. In particular we had the
opportunity to taste a variety of Latour vintages that are renowned for
their performance in off years. The '53 Latour performed consistent
with its reputation. What was more surprising was the performance of
the off vintages, particularly the '80 Latour and the '67 Mouton.
In the light of the astronomical prices that are being asked for
recent first growths, it is often worth while to take a chance on
older vintages, including those of lesser repute when available at
attractive prices. On the whole, this shows that the older Bordeaux are
holding up well.
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