WINETASTER ON 04/02/07 WITH 8 JUDGES AND 8 WINES BASED ON RANKS, IDENT=N
Copyright (c) 1995-2007 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 Ch. Lafite-Rothschild 1978 tied for 1st place
Wine B is Ch. Cos d'Estournel 1978 ........ 8th place
Wine C is Ch. Ducru Beaucaillou 1978 ........ 5th place
Wine D is Ch. Mouton-Rothschild 1978 ........ 7th place
Wine E is Ch. Leoville Las Cases 1978 tied for 3rd place
Wine F is Ch. Latour 1978 ........ 6th place
Wine G is Ch. Haut Brion 1978 tied for 3rd place
Wine H is Ch. Petrus 1978 tied for 1st place
The Judges's Rankings
Judge Wine -> A B C D E F G H
Orley 2. 5. 4. 1. 8. 3. 7. 6.
Frank 5. 6. 1. 8. 4. 7. 2. 3.
Mike 2. 8. 4. 6. 1. 7. 3. 5.
Ed 8. 2. 7. 5. 1. 6. 3. 4.
John 1. 7. 5. 3. 8. 6. 4. 2.
Bob 2. 7. 5. 8. 3. 6. 4. 1.
Burt 4. 8. 3. 5. 2. 1. 7. 6.
Dick 5. 7. 8. 6. 4. 3. 1. 2.
Table of Votes Against
Wine -> A B C D E F G H
Group Ranking -> 1 8 5 7 3 6 3 1
Votes Against -> 29 50 37 42 31 39 31 29
( 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 = 0.1451
The probability that random chance could be responsible for this correlation
is rather large, 0.3217. 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 Correlation Price
Bob 0.8193 -0.5952
Mike 0.5952 -0.1667
Dick 0.2289 -0.8810
Frank 0.1667 -0.0952
John 0.0719 -0.4048
Burt -0.1429 -0.1905
Ed -0.3353 0.1190
Orley -0.6467 0.1667
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 A is Ch. Lafite-Rothschild 1978
2. tied for 1st place Wine H is Ch. Petrus 1978
3. tied for 3rd place Wine G is Ch. Haut Brion 1978
4. tied for 3rd place Wine E is Ch. Leoville Las Cases 1978
5. ........ 5th place Wine C is Ch. Ducru Beaucaillou 1978
6. ........ 6th place Wine F is Ch. Latour 1978
7. ........ 7th place Wine D is Ch. Mouton-Rothschild 1978
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8. ........ 8th place Wine B is Ch. Cos d'Estournel
We now test whether the ranksums AS A WHOLE provide a significant ordering.
The Friedman Chi-square value is 8.1250. The probability that this could
happen by chance is 0.3217
We now test whether the group ranking of wines is correlated with the
prices of the wines. The rank correlation between them is -0.6386. At the
10% level of significance this would have to exceed the critical value of
0.5240 to be significant.
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
Orley Frank Mike
Orley 1.000 -0.595 -0.381
Frank -0.595 1.000 0.524
Mike -0.381 0.524 1.000
Ed -0.762 0.024 0.000
John 0.476 0.048 0.143
Bob -0.452 0.571 0.667
Burt 0.167 -0.095 0.286
Dick -0.452 0.143 0.238
Ed John Bob
Orley -0.762 0.476 -0.452
Frank 0.024 0.048 0.571
Mike 0.000 0.143 0.667
Ed 1.000 -0.619 -0.048
John -0.619 1.000 0.381
Bob -0.048 0.381 1.000
Burt -0.357 -0.238 0.071
Dick 0.262 0.190 0.500
Burt Dick
Orley 0.167 -0.452
Frank -0.095 0.143
Mike 0.286 0.238
Ed -0.357 0.262
John -0.238 0.190
Bob 0.071 0.500
Burt 1.000 -0.048
Dick -0.048 1.000
Pairwise correlations in descending order
0.667 Mike and Bob Significantly positive
0.571 Frank and Bob Not significant
0.524 Frank and Mike Not significant
0.500 Bob and Dick Not significant
0.476 Orley and John Not significant
0.381 John and Bob Not significant
0.286 Mike and Burt Not significant
0.262 Ed and Dick Not significant
0.238 Mike and Dick Not significant
0.190 John and Dick Not significant
0.167 Orley and Burt Not significant
0.143 Frank and Dick Not significant
0.143 Mike and John Not significant
0.071 Bob and Burt Not significant
0.048 Frank and John Not significant
0.024 Frank and Ed Not significant
0.000 Mike and Ed Not significant
-0.048 Burt and Dick Not significant
-0.048 Ed and Bob Not significant
-0.095 Frank and Burt Not significant
-0.238 John and Burt Not significant
-0.357 Ed and Burt Not significant
-0.381 Orley and Mike Not significant
-0.452 Orley and Bob Not significant
-0.452 Orley and Dick Not significant
-0.595 Orley and Frank Not significant
-0.619 Ed and John Not significant
-0.762 Orley and Ed Significantly negative
COMMENT:
These wines were from the cellar of one member of the group and were in
excellent cellaring conditions; so these comments are for wines from
an excellent cellar. Despite the fact that the wines are rarely talked
about in the wine press any more, we found them to be uniformly excellent
for the dinner table today.
These wines are representative of classic clarets in the British sense
i.e., they combine austerity with good fruit but a noticeable lack of
bombastic character. While they were all mature, they have another 5-10
years to go. Incidentally, they all had a superb bouquet. While there was
not a single wine that the group judged to be of significantly highest
quality, four of the wines received essentially the highest score.
These were Lafite, Leoville, Haut Brion and Petrus.
These wines do not have high points in Parker's books and those expecting
the fruit bomb, bombastic wines will be disappointed.
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