WINETASTER ON 03/05/18 WITH 6 JUDGES AND 6 WINES BASED ON RANKS, IDENT=N
Copyright (c) 1995-2018 Richard E. Quandt, V. 1.65
A Tasting of Châieauneuf du Pape
FLIGHT 1:
Number of Judges = 6
Number of Wines = 6
Identification of the Wine: The judges' overall ranking:
Wine A is Domaine du Pegau 2000 ........ 2nd place
Wine B is La Bernardine 2000 ........ 5th place
Wine C is Les Silex 2000 ........ 3rd place
Wine D is Domaine Janasse Chaupin 2005 ........ 6th place
Wine E is Domaqin la Barroche 2005 ........ 4th place
Wine F is Domain du Père Caboche 2005 ........ 1st place
The Judges's Rankings
Judge Wine -> A B C D E F
Zaki 2. 1. 5. 6. 4. 3.
Alexa 1. 5. 3. 4. 6. 2.
Bob 3. 6. 1. 5. 4. 2.
Ed 2. 4. 5. 6. 3. 1.
Mike 4. 5. 3. 6. 2. 1.
Dick 6. 5. 4. 1. 3. 2.
Table of Votes Against
Wine -> A B C D E F
Group Ranking -> 2 5 3 6 4 1
Votes Against -> 18 26 21 28 22 11
( 6 is the best possible, 36 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 = 0.2921
The probability that random chance could be responsible for this correlation
is rather large, 0.1189. 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
Mike 0.7714
Ed 0.7062
Bob 0.4638
Alexa 0.2571
Zaki -0.0580
Dick -0.2571
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 F is Domain du Père Caboche 2005
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2. ........ 2nd place Wine A is Domaine du Pegau 2000
3. ........ 3rd place Wine C is Les Silex 2000
4. ........ 4th place Wine E is Domain la Barroche 2005
5. ........ 5th place Wine B is La Bernardine 2000
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6. ........ 6th place Wine D is Domaine Janasse Chaupin 2005
We now test whether the ranksums AS A WHOLE provide a significant ordering.
The Friedman Chi-square value is 8.7619. The probability that this could
happen by chance is 0.1189
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 0.89 for significance at the 0.05
level and must exceed 0.83 for significance at the 0.1 level
Zaki Alexa Bob
Zaki 1.000 0.143 -0.257
Alexa 0.143 1.000 0.600
Bob -0.257 0.600 1.000
Ed 0.600 0.429 0.314
Mike 0.086 0.143 0.657
Dick -0.714 -0.257 -0.029
Ed Mike Dick
Zaki 0.600 0.086 -0.714
Alexa 0.429 0.143 -0.257
Bob 0.314 0.657 -0.029
Ed 1.000 0.714 -0.257
Mike 0.714 1.000 0.086
Dick -0.257 0.086 1.000
Pairwise correlations in descending order
0.714 Ed and Mike Not significant
0.657 Bob and Mike Not significant
0.600 Alexa and Bob Not significant
0.600 Zaki and Ed Not significant
0.429 Alexa and Ed Not significant
0.314 Bob and Ed Not significant
0.143 Alexa and Mike Not significant
0.143 Zaki and Alexa Not significant
0.086 Zaki and Mike Not significant
0.086 Mike and Dick Not significant
-0.029 Bob and Dick Not significant
-0.257 Zaki and Bob Not significant
-0.257 Alexa and Dick Not significant
-0.257 Ed and Dick Not significant
-0.714 Zaki and Dick Not significant
COMMENT:
Our host upon opening these wines had some trepidatiion about how they
would perform in a tasting. As it turns, out with an hour in the glass
they opened up and revealed their true character. It was noticeable as
remarked by several tasters that the wines has a sweet quality.
There was no strong preference between the 2000 and 2005 vintages.
These wines are all aging beatifully, The Janasse '05 differfentiated
itself from the greoup negatively and this was confirmed in the overrall
rating.
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