WINETASTER ON 10/07/19 WITH 8 JUDGES AND 8 WINES BASED ON RANKS, IDENT=N
Copyright (c) 1995-2019 Richard E. Quandt, V. 1.65
A Horizontal Tasting of Bordeaux Wines
FLIGHT 1:
Number of Judges = 8
Number of Wines = 8
Identification of the Wine: The judges' overall ranking:
Wine A is Reserve de la Contesse ........ 7th place
Wine B is Ormes de Pez tied for 5th place
Wine C is Brane Cantenac tied for 5th place
Wine D is Branaire Ducru ........ 3rd place
Wine E is Ch. d'Issan ........ 8th place
Wine F is Langoa Barton ........ 4th place
Wine G is Malartic la Gravière tied for 1st place
Wine H is Lafon-Rochet tied for 1st place
The Judges's Rankings
Judge Wine -> A B C D E F G H
Orley 2. 4. 1. 6. 7. 3. 8. 5.
Mike 3. 1. 4. 6. 7. 5. 2. 8.
Ed 8. 6. 7. 3. 1. 4. 5. 2.
Bob 3. 6. 7. 5. 8. 1. 2. 4.
Frank 5. 1. 8. 6. 7. 3. 4. 2.
Burt 7. 8. 1. 4. 3. 6. 5. 2.
Zaki 7. 4. 5. 2. 6. 8. 3. 1.
Dick 6. 5. 2. 1. 7. 4. 3. 8.
Table of Votes Against
Wine -> A B C D E F G H
Group Ranking -> 7 5 5 3 8 4 1 1
Votes Against -> 41 35 35 33 46 34 32 32
( 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 = 0.0640
The probability that random chance could be responsible for this correlation
is rather large, 0.8263. 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
Zaki -0.0244 0.4048
Dick -0.0359 -0.1905
Bob -0.1841 0.3333
Frank -0.2156 0.2381
Mike -0.3810 -0.5238
Ed -0.3904 0.6905
Orley -0.5213 -0.5714
Burt -0.5422 0.4286
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 G is Malartic la Gravière
2. tied for 1st place Wine H is Lafon-Rochet
3. ........ 3rd place Wine D is Branaire Ducru
4. ........ 4th place Wine F is Langoa Barton
5. tied for 5th place Wine C is Brane Cantenac
6. tied for 5th place Wine B is Ormes de Pez
7. ........ 7th place Wine A is Reserve de la Contesse
8. ........ 8th place Wine E is Ch. d'Issan
We now test whether the ranksums AS A WHOLE provide a significant ordering.
The Friedman Chi-square value is 3.5833. The probability that this could
happen by chance is 0.8263
We now test whether the group ranking of wines is correlated with the
prices of the wines. The rank correlation between them is 0.6988. 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 Mike Ed
Orley 1.000 0.190 -0.667
Mike 0.190 1.000 -0.786
Ed -0.667 -0.786 1.000
Bob 0.000 0.190 -0.190
Frank -0.095 0.238 0.024
Burt -0.048 -0.667 0.405
Zaki -0.476 -0.214 0.333
Dick 0.071 0.333 -0.310
Bob Frank Burt
Orley 0.000 -0.095 -0.048
Mike 0.190 0.238 -0.667
Ed -0.190 0.024 0.405
Bob 1.000 0.476 -0.429
Frank 0.476 1.000 -0.571
Burt -0.429 -0.571 1.000
Zaki -0.143 0.214 0.357
Dick 0.071 -0.381 0.048
Zaki Dick
Orley -0.476 0.071
Mike -0.214 0.333
Ed 0.333 -0.310
Bob -0.143 0.071
Frank 0.214 -0.381
Burt 0.357 0.048
Zaki 1.000 0.071
Dick 0.071 1.000
Pairwise correlations in descending order
0.476 Bob and Frank Not significant
0.405 Ed and Burt Not significant
0.357 Burt and Zaki Not significant
0.333 Ed and Zaki Not significant
0.333 Mike and Dick Not significant
0.238 Mike and Frank Not significant
0.214 Frank and Zaki Not significant
0.190 Orley and Mike Not significant
0.190 Mike and Bob Not significant
0.071 Orley and Dick Not significant
0.071 Bob and Dick Not significant
0.071 Zaki and Dick Not significant
0.048 Burt and Dick Not significant
0.024 Ed and Frank Not significant
0.000 Orley and Bob Not significant
-0.048 Orley and Burt Not significant
-0.095 Orley and Frank Not significant
-0.143 Bob and Zaki Not significant
-0.190 Ed and Bob Not significant
-0.214 Mike and Zaki Not significant
-0.310 Ed and Dick Not significant
-0.381 Frank and Dick Not significant
-0.429 Bob and Burt Not significant
-0.476 Orley and Zaki Not significant
-0.571 Frank and Burt Not significant
-0.667 Mike and Burt Significantly negative
-0.667 Orley and Ed Significantly negative
-0.786 Mike and Ed Significantly negative
COMMENT:
Ovewrall this was a very high quality vintage. And these wines
were of equal quality and similarly rated. It is therefore not surprising
that we were evenly split in our preferences. Overall these wines were
delicious, soft, and drinking at their peak. Should you have any of
the '09s in your cellar, open a bottle and enjoy it. The alcohol in
these wines ranged from 13.5% and up. All five of the villages of the
Medoc were represented in the tasting, which speaks of the consistency
of the vintage. There was no clear correlation between the price and the
rankings of the wines. Also, Zaki kindly pointed out that the Lafont-Rochet
had 37% Merlot, which is unusual for a Medoc.
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