WINETASTER ON 01/08/19 WITH 8 JUDGES AND 6 WINES BASED ON RANKS, IDENT=N
Copyright (c) 1995-2019 Richard E. Quandt, V. 1.65
FLIGHT 1:
Number of Judges = 8
Number of Wines = 6
Identification of the Wine: The judges' overall ranking:
Wine A is Chateau Musar 2002 ........ 5th place
Wine B is Chateau Musar 2007 ........ 4th place
Wine C is Chateau Musar 1997 ........ 6th place
Wine D is Chateau Musar 1995 ........ 1st place
Wine E is Chateau Musar 1994 ........ 3rd place
Wine F is Chateau Musar 2001 ........ 2nd place
The Judges's Rankings
Judge Wine -> A B C D E F
Bob 4. 5. 2. 1. 6. 3.
Mike 6. 4. 3. 1. 5. 2.
Stephen 5. 6. 3. 2. 4. 1.
Zali 4. 5. 6. 2. 3. 1.
Angus 1. 2. 6. 3. 4. 5.
Thom 4. 3. 6. 5. 1. 2.
Ed 4. 2. 6. 1. 3. 5.
Dick 4. 3. 6. 1. 2. 5.
Table of Votes Against
Wine -> A B C D E F
Group Ranking -> 5 4 6 1 3 2
Votes Against -> 32 30 38 16 28 24
( 8 is the best possible, 48 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 = 0.2500
The probability that random chance could be responsible for this correlation
is quite small, 0.0752. 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
Zali 0.8407
Dick 0.6571
Ed 0.5508
Mike 0.5508
Stephen 0.4928
Thom 0.3189
Bob 0.2000
Angus 0.0286
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 Chateau Musar 1995
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2. ........ 2nd place Wine F is Chateau Musar 2001
3. ........ 3rd place Wine E is Chateau Musar 1994
4. ........ 4th place Wine B is Chateau Musar 2007
5. ........ 5th place Wine A is Chateau Musar 2002
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6. ........ 6th place Wine C is Chateau Musar 1997
We now test whether the ranksums AS A WHOLE provide a significant ordering.
The Friedman Chi-square value is 10.0000. The probability that this could
happen by chance is 0.0752
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
Bob Mike Stephen
Bob 1.000 0.771 0.657
Mike 0.771 1.000 0.771
Stephen 0.657 0.771 1.000
Zali 0.143 0.429 0.657
Angus -0.314 -0.486 -0.657
Thom -0.771 -0.314 -0.086
Ed -0.086 0.143 -0.257
Dick -0.143 0.086 -0.143
Zali Angus Thom
Bob 0.143 -0.314 -0.771
Mike 0.429 -0.486 -0.314
Stephen 0.657 -0.657 -0.086
Zali 1.000 -0.029 0.486
Angus -0.029 1.000 0.086
Thom 0.486 0.086 1.000
Ed 0.257 0.600 0.143
Dick 0.371 0.486 0.257
Ed Dick
Bob -0.086 -0.143
Mike 0.143 0.086
Stephen -0.257 -0.143
Zali 0.257 0.371
Angus 0.600 0.486
Thom 0.143 0.257
Ed 1.000 0.943
Dick 0.943 1.000
Pairwise correlations in descending order
0.943 Ed and Dick Significantly positive
0.771 Mike and Stephen Not significant
0.771 Bob and Mike Not significant
0.657 Bob and Stephen Not significant
0.657 Stephen and Zali Not significant
0.600 Angus and Ed Not significant
0.486 Zali and Thom Not significant
0.486 Angus and Dick Not significant
0.429 Mike and Zali Not significant
0.371 Zali and Dick Not significant
0.257 Thom and Dick Not significant
0.257 Zali and Ed Not significant
0.143 Mike and Ed Not significant
0.143 Bob and Zali Not significant
0.143 Thom and Ed Not significant
0.086 Mike and Dick Not significant
0.086 Angus and Thom Not significant
-0.029 Zali and Angus Not significant
-0.086 Stephen and Thom Not significant
-0.086 Bob and Ed Not significant
-0.143 Stephen and Dick Not significant
-0.143 Bob and Dick Not significant
-0.257 Stephen and Ed Not significant
-0.314 Bob and Angus Not significant
-0.314 Mike and Thom Not significant
-0.486 Mike and Angus Not significant
-0.657 Stephen and Angus Not significant
-0.771 Bob and Thom Not significant
COMMENT:
Overall, the Musar wines present a marvellous wine experience and
the wines were consistent over btwo decades. Despite this wide range
of ages, the wines were homogeneous and did not show big differences
that you might expect from such a big range. These wines are renowned for
being long lived and this was borne out by our tasting. Given the
pricepoint these wines continue to represent tremendous value.
There appears to be substantial agreement on the excellence of the 1995
and on the relative inferiority of the 1997.
There as no significant difference between the group of three older and
three younger wines.
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