WINETASTER ON 10/06/20 WITH 5 JUDGES AND 7 WINES BASED ON RANKS, IDENT=N
Copyright (c) 1995-2020 Richard E. Quandt, V. 1.65
Number of Judges = 5
Number of Wines = 7
Identification of the Wine: The judges' overall ranking:
Wine A is Archaval Ferrer 2013 tied for 2nd place
Wine B is Archaval Ferrer 2000 ........ 4th place
Wine C is Archaval Ferrer 2005 ........ 1st place
Wine D is Archaval Ferrer 2004 tied for 6th place
Wine E is Archaval Ferrer 2007 ........ 5th place
Wine F is Archaval Ferrer 2009 tied for 6th place
Wine G is Archaval Ferrer 2011 tied for 2nd place
The Judges's Rankings
Judge Wine -> A B C D E F G
Dick 2. 7. 4. 3. 1. 5. 6.
Bob 3. 1. 5. 7. 4. 6. 2.
Mike 4. 5. 3. 7. 6. 1. 2.
Zaki 5. 4. 2. 6. 3. 7. 1.
Burt 4. 2. 3. 1. 6. 5. 7.
Table of Votes Against
Wine -> A B C D E F G
Group Ranking -> 2 4 1 6 5 6 2
Votes Against -> 18 19 17 24 20 24 18
( 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 = 0.0714
The probability that random chance could be responsible for this correlation
is rather large, 0.9061. Most analysts would say that unless this
probability is less than 0.1, the judges' preferences are not strongly
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
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
1. ........ 1st place Wine C is Archaval Ferrer 2005
2. tied for 2nd place Wine A is Archaval Ferrer 2013
3. tied for 2nd place Wine G is Archaval Ferrer 2011
4. ........ 4th place Wine B is Archaval Ferrer 2000
5. ........ 5th place Wine E is Archaval Ferrer 2007
6. tied for 6th place Wine F is Archaval Ferrer 2009
7. tied for 6th place Wine D is Archaval Ferrer 2004
We now test whether the ranksums AS A WHOLE provide a significant ordering.
The Friedman Chi-square value is 2.1429. The probability that this could
happen by chance is 0.9061
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
Dick Bob Mike
Dick 1.000 -0.429 -0.464
Bob -0.429 1.000 0.107
Mike -0.464 0.107 1.000
Zaki -0.143 0.536 0.107
Burt -0.071 -0.286 -0.536
Dick -0.143 -0.071
Bob 0.536 -0.286
Mike 0.107 -0.536
Zaki 1.000 -0.429
Burt -0.429 1.000
Pairwise correlations in descending order
0.536 Bob and Zaki Not significant
0.107 Mike and Zaki Not significant
0.107 Bob and Mike Not significant
-0.071 Dick and Burt Not significant
-0.143 Dick and Zaki Not significant
-0.286 Bob and Burt Not significant
-0.429 Dick and Bob Not significant
-0.429 Zaki and Burt Not significant
-0.464 Dick and Mike Not significant
-0.536 Mike and Burt Not significant
The wine group has not had a tasting since March 2, 2020 because of the
Covid-19 pandemic. Recently, one3 of our ingenious members figured out how
we could continue out tasting while maintaining social distance. One mem-
ber (the "host") would decant each of the bottles to be tasted into the
requisite number of 100 mL bottles and then physically deliver all these
bottles to the other members' doorstep. At the appointed time a zoom
session would be initiated among the group members.
The present tasting is a vertical tasting of Archaval Ferrarfrom Mendoza,
Argentina. The wines were all of high quality and eminently drinkable,
with some variation in the degree of spiciness. But on the whole, they
were very similar, with no wone standing out as significantly good or bad.
we were overjoyed to see out colleagues on zoom and to be, so to speak,
back in the groove.
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