WINETASTER ON 12/06/10 WITH 8 JUDGES AND 9 WINES BASED ON RANKS, IDENT=N
Copyright (c) 1995-2010 Richard E. Quandt, V. 1.65
FLIGHT 1: A Vertical Tasting of Vieux Château Certan
Number of Judges = 8
Number of Wines = 9
Identification of the Wine: The judges' overall ranking:
Wine A is 1993 ........ 4th place
Wine B is 1990 ........ 1st place
Wine C is 1989 ........ 5th place
Wine D is 1966 ........ 8th place
Wine E is 1952 ........ 2nd place
Wine F is 1998 ........ 6th place
Wine G is 1988 ........ 9th place
Wine H is 1994 ........ 3rd place
Wine I is 1995 ........ 7th place
The Judges's Rankings
Judge Wine -> A B C D E F G H I
Ed 4. 3. 7. 9. 2. 8. 5. 1. 6.
Burt 3. 7. 4. 8. 1. 6. 9. 5. 2.
John 5. 3. 9. 6. 2. 1. 7. 8. 4.
Mike 8. 2. 3. 5. 6. 7. 4. 1. 9.
Zachy 9. 2. 3. 4. 5. 1. 8. 7. 6.
Bob 2. 3. 4. 6. 1. 5. 9. 7. 8.
Orley 2. 3. 1. 9. 6. 8. 7. 5. 4.
Dick 4. 2. 9. 6. 3. 7. 8. 1. 5.
Table of Votes Against
Wine -> A B C D E F G H I
Group Ranking -> 4 1 5 8 2 6 9 3 7
Votes Against -> 37 25 40 53 26 43 57 35 44
( 8 is the best possible, 72 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 = 0.2443
The probability that random chance could be responsible for this correlation
is quite small, 0.0479. 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
Bob 0.6527
Ed 0.5439
Dick 0.4603
Burt 0.4333
Orley 0.2678
John 0.1500
Zachy 0.0000
Mike -0.0500
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 B is 1990
2. ........ 2nd place Wine E is 1952
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3. ........ 3rd place Wine H is 1994
4. ........ 4th place Wine A is 1993
5. ........ 5th place Wine C is 1989
6. ........ 6th place Wine F is 1998
7. ........ 7th place Wine I is 1995
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8. ........ 8th place Wine D is 1966
9. ........ 9th place Wine G is 1988
We now test whether the ranksums AS A WHOLE provide a significant ordering.
The Friedman Chi-square value is 15.6333. The probability that this could
happen by chance is 0.0479
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 0.70 for significance at the 0.05
level and must exceed 0.60 for significance at the 0.1 level
Ed Burt John
Ed 1.000 0.333 0.000
Burt 0.333 1.000 0.233
John 0.000 0.233 1.000
Mike 0.367 -0.467 -0.517
Zachy -0.417 -0.167 0.400
Bob 0.267 0.483 0.400
Orley 0.333 0.467 -0.300
Dick 0.783 0.283 0.250
Mike Zachy Bob
Ed 0.367 -0.417 0.267
Burt -0.467 -0.167 0.483
John -0.517 0.400 0.400
Mike 1.000 0.167 -0.083
Zachy 0.167 1.000 0.233
Bob -0.083 0.233 1.000
Orley 0.100 -0.150 0.367
Dick 0.217 -0.183 0.300
Orley Dick
Ed 0.333 0.783
Burt 0.467 0.283
John -0.300 0.250
Mike 0.100 0.217
Zachy -0.150 -0.183
Bob 0.367 0.300
Orley 1.000 0.117
Dick 0.117 1.000
Pairwise correlations in descending order
0.783 Ed and Dick Significantly positive
0.483 Burt and Bob Not significant
0.467 Burt and Orley Not significant
0.400 John and Bob Not significant
0.400 John and Zachy Not significant
0.367 Ed and Mike Not significant
0.367 Bob and Orley Not significant
0.333 Ed and Burt Not significant
0.333 Ed and Orley Not significant
0.300 Bob and Dick Not significant
0.283 Burt and Dick Not significant
0.267 Ed and Bob Not significant
0.250 John and Dick Not significant
0.233 Zachy and Bob Not significant
0.233 Burt and John Not significant
0.217 Mike and Dick Not significant
0.167 Mike and Zachy Not significant
0.117 Orley and Dick Not significant
0.100 Mike and Orley Not significant
0.000 Ed and John Not significant
-0.083 Mike and Bob Not significant
-0.150 Zachy and Orley Not significant
-0.167 Burt and Zachy Not significant
-0.183 Zachy and Dick Not significant
-0.300 John and Orley Not significant
-0.417 Ed and Zachy Not significant
-0.467 Burt and Mike Not significant
-0.517 John and Mike Not significant
COMMENT:
All the wines reflected richness and complexity. It is also noteworthy
that there was statistically significant agreement between the rankings
of the tasters. An important question is this:
if we had not known that there was a 46 year gap between these wines,
would we have detected it? The answer is probably not. These wines are
Merlot based and our present experience contradicts the conventional
wisdom that Merlots are not long lived. Note that the youngest wine in
this group is 12 years old. The one vintage present here that by all standards
is widely considered inferior is the 1993. It was a
jolly good drink. The '94 and '95 are considered mid-level in quality.
They were jolly good drinks too. Parker rates the 1966 74 points, and
describes it browning badly, but we did not find that at all;
consequently we presume that Parker's ranking was based on a bad
bottle. However, we ranked the 1966 as the second lowest wine in the
group. In terms of the physical disposition of and trade dress of the
wines, it is noticeable that the weight and opacity of the oldest bottle
(1952) represented an earlier era versus the more modern bottle.
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