WINETASTER ON 12/02/13 WITH 8 JUDGES AND 8 WINES BASED ON RANKS, IDENT=N
Copyright (c) 1995-2013 Richard E. Quandt, V. 1.65
FLIGHT 1:
Number of Judges = 8
Number of Wines = 8
A Tasting of Argentinian and Chilean Wines
Identification of the Wine: The judges' overall ranking:
Wine A is Vistalba Corte 2008 tied for 2nd place
Wine B is Le Dix de los Vascos 2009 ........ 7th place
Wine C is Cuvelier Los Andes 2008 ........ 4th place
Wine D is Cheval des Andes 2008 tied for 2nd place
Wine E is Almaviva 2003 ........ 1st place
Wine F is Don Maximiano Founder's Reserve 2010 ........ 5th place
Wine G is Quimera 2004 ........ 8th place
Wine H is Catena Zapata 2003 ........ 6th place
The makers of these wines are as follows:
A: Carlos Pulenta Wines, Argentina
B: Baron de Rothschild, Chile
C: Grand Vin, Argentina
D: Terrazas, Argentina
E: Philippe de Rothschild/Concha y Toro, Chile
F: Vina Arrazuriz, Chile
G: Achaval Ferrer, Argentina
H: Estiba Reservada, Uvas de Agrelo, Argentina
The Judges's Rankings
Judge Wine -> A B C D E F G H
Bob 5. 6. 4. 1. 2. 3. 7. 8.
Zaki 5. 3. 4. 6. 1. 2. 7. 8.
Mike 3. 8. 5. 7. 6. 1. 4. 2.
Frank 2. 4. 3. 1. 5. 7. 8. 6.
Ed 7. 5. 3. 2. 1. 4. 8. 6.
Burt 3. 6. 7. 1. 2. 4. 8. 5.
Bill 4. 3. 5. 6. 8. 7. 2. 1.
Dick 2. 4. 3. 7. 5. 8. 6. 1.
Table of Votes Against
Wine -> A B C D E F G H
Group Ranking -> 2 7 4 2 1 5 8 6
Votes Against -> 31 39 34 31 30 36 50 37
( 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 = 0.1101
The probability that random chance could be responsible for this correlation
is rather large, 0.5204. 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
Burt 0.4097
Ed 0.3856
Frank 0.2651
Bob 0.1928
Zaki -0.1317
Dick -0.4524
Mike -0.5302
Bill -0.8193
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 E is Almaviva 2003
2. tied for 2nd place Wine D is Cheval des Andes 2008
3. tied for 2nd place Wine A is Vistalba Corte 2008
4. ........ 4th place Wine C is Cuvelier Los Andes 2008
5. ........ 5th place Wine F is Don Maximiano Founder's Reserve 2010
6. ........ 6th place Wine H is Catena Zapata 2003
7. ........ 7th place Wine B is Le Dix de los Vascos 2009
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8. ........ 8th place Wine G is Quimera 2004
We now test whether the ranksums AS A WHOLE provide a significant ordering.
The Friedman Chi-square value is 6.1667. The probability that this could
happen by chance is 0.5204
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
Bob Zaki Mike
Bob 1.000 0.571 -0.310
Zaki 0.571 1.000 -0.214
Mike -0.310 -0.214 1.000
Frank 0.476 0.024 -0.500
Ed 0.833 0.595 -0.429
Burt 0.714 0.262 -0.119
Bill -0.929 -0.786 0.143
Dick -0.595 -0.357 0.095
Frank Ed Burt
Bob 0.476 0.833 0.714
Zaki 0.024 0.595 0.262
Mike -0.500 -0.429 -0.119
Frank 1.000 0.381 0.524
Ed 0.381 1.000 0.571
Burt 0.524 0.571 1.000
Bill -0.238 -0.810 -0.619
Dick 0.214 -0.333 -0.214
Bill Dick
Bob -0.929 -0.595
Zaki -0.786 -0.357
Mike 0.143 0.095
Frank -0.238 0.214
Ed -0.810 -0.333
Burt -0.619 -0.214
Bill 1.000 0.571
Dick 0.571 1.000
Pairwise correlations in descending order
0.833 Bob and Ed Significantly positive
0.714 Bob and Burt Significantly positive
0.595 Zaki and Ed Not significant
0.571 Bob and Zaki Not significant
0.571 Ed and Burt Not significant
0.571 Bill and Dick Not significant
0.524 Frank and Burt Not significant
0.476 Bob and Frank Not significant
0.381 Frank and Ed Not significant
0.262 Zaki and Burt Not significant
0.214 Frank and Dick Not significant
0.143 Mike and Bill Not significant
0.095 Mike and Dick Not significant
0.024 Zaki and Frank Not significant
-0.119 Mike and Burt Not significant
-0.214 Burt and Dick Not significant
-0.214 Zaki and Mike Not significant
-0.238 Frank and Bill Not significant
-0.310 Bob and Mike Not significant
-0.333 Ed and Dick Not significant
-0.357 Zaki and Dick Not significant
-0.429 Mike and Ed Not significant
-0.500 Mike and Frank Not significant
-0.595 Bob and Dick Not significant
-0.619 Burt and Bill Not significant
-0.786 Zaki and Bill Significantly negative
-0.810 Ed and Bill Significantly negative
-0.929 Bob and Bill Significantly negative
COMMENT:
It was an unusual tasting in that the votes against were virtually the
same for seven of the eight wines. While these wines were ostensibly
different in maker and country of origin, their differences were
disguised to some extent by their relative youth. These wines were very
drinkable and their tannins were much softer than wines of this age
in other regions. These wines are all very young, they are very
approachable, and they are all a great value. We hypothesized that
the cabernet content may have influenced the tasters' liking for the
wines, but we have no good evidence for this, since the bottles did not
always reveal these percentages. The tasting was an eye-p[ener for several of
the tasters, since many of us were not too familiar with wines from Chile and
Argentina. The customary significance test finds no significant difference
between the Chilean and Argentinian wines.
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