Identification of the Wine The Judges' Overall Ranking:
Wine C is 2017 Overture ........ 1st place
Wine B is 2012 Leoville Lasc ........ 2nd place
Wine A is 2012 Leoville Bart tied for 3rd place
Wine F is 2017 Opus One tied for 3rd place
Wine H is 2019 Le Clarence d tied for 3rd place
Wine D is 2018 Brane Cantena ........ 6th place
Wine G is 2019 Haut Brion ........ 7th place
Wine E is 2014 Margaux de Br ........ 8th place
The Judges' Rankings
Judge Wine -> A B C D E F G H
Burt 4 3 5 8 7 1 2 6
Alan 1 2 3 4 6 7 8 5
Bob 3 2 7 6 5 8 4 1
Dick 4 6 1 2 7 3 5 8
Orley 5 4 6 7 3 2 8 1
Zaki 7 5 1 2 8 3 4 6
Mike 7 6 5 4 2 3 8 1
Lori 4 5 2 6 3 8 1 7
Wine -> A B C D E F G H
Group Ranking -> 3 2 1 6 8 3 7 3
Votes Against -> 35 33 30 39 41 35 40 35
(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 = 0.0365
The probability that random chance could be responsible for this correlation is rather large, 0.9575. 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
Judge Spearman's Rho
Alan -0.0240
Zaki -0.3012
Dick -0.3353
Burt -0.3374
Bob -0.4192
Orley -0.5389
Mike -0.5868
Lori -0.6587
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 C is 2017 Overture
2. ........ 2nd place Wine B is 2012 Leoville Lascases
3. tied for 3rd place Wine A is 2012 Leoville Barton
4. tied for 3rd place Wine F is 2017 Opus One
5. tied for 3rd place Wine H is 2019 Le Clarence de Haut Brion
6. ........ 6th place Wine D is 2018 Brane Cantenac
7. ........ 7th place Wine G is 2019 Haut Brion
8. ........ 8th place Wine E is 2014 Margaux de Brane
We now test whether the ranksums AS A WHOLE provide a significant ordering. The Friedman Chi-Square value is 2.042. The probability that this could happen by chance is 0.958.
We now undertake a more detailed examination of the pair-wise rank correlations 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 0.705 for significance at the 0.05 level, and must exceed 0.626 for significance at the 0.10 level.
Correlation Array for the tasting is:
Burt Alan Bob Dick Orley Zaki Mike Lori
Burt 1.000 -0.238 -0.095 0.071 0.024 0.119 -0.476 0.000
Alan -0.238 1.000 0.310 0.190 -0.048 -0.071 -0.238 -0.024
Bob -0.095 0.310 1.000 -0.762 0.214 -0.619 -0.071 0.000
Dick 0.071 0.190 -0.762 1.000 -0.548 0.810 -0.333 0.095
Orley 0.024 -0.048 0.214 -0.548 1.000 -0.452 0.762 -0.667
Zaki 0.119 -0.071 -0.619 0.810 -0.452 1.000 -0.167 -0.024
Mike -0.476 -0.238 -0.071 -0.333 0.762 -0.167 1.000 -0.595
Lori 0.000 -0.024 0.000 0.095 -0.667 -0.024 -0.595 1.000
Pairwise correlations in descending order
0.810 Dick and Zaki Significantly positive
0.762 Orley and Mike Significantly positive
0.310 Alan and Bob Not significant
0.214 Bob and Orley Not significant
0.190 Alan and Dick Not significant
0.119 Burt and Zaki Not significant
0.095 Dick and Lori Not significant
0.071 Burt and Dick Not significant
0.024 Burt and Orley Not significant
0.000 Burt and Lori Not significant
0.000 Bob and Lori Not significant
-0.024 Alan and Lori Not significant
-0.024 Zaki and Lori Not significant
-0.048 Alan and Orley Not significant
-0.071 Alan and Zaki Not significant
-0.071 Bob and Mike Not significant
-0.095 Burt and Bob Not significant
-0.167 Zaki and Mike Not significant
-0.238 Burt and Alan Not significant
-0.238 Alan and Mike Not significant
-0.333 Dick and Mike Not significant
-0.452 Orley and Zaki Not significant
-0.476 Burt and Mike Not significant
-0.548 Dick and Orley Not significant
-0.595 Mike and Lori Not significant
-0.619 Bob and Zaki Not significant
-0.667 Orley and Lori Significantly negative
-0.762 Bob and Dick Significantly negative
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