WINETASTER ON 04-16-06 WITH 4 JUDGES AND 7 WINES BASED ON RANKS, Copyright (c) 1995-2006
Number of judges = 4 Number of wines = 7
The wines and their identifying code designations
Wine name Code
Louis Latour, Chambolle-Musigny 2002 A Ponzi Tavola, Pinot, Willamette 2004 B Mirassou Pinot Noir, California, 2004 C Capiaux Chimera, Pinot, Sonoma County, 2004 D Tamar Ridge, Devil's Corner, Pinot, Tasmania, E Hitching Post, Hartley Ostini, Pinot, S Barba F Deutzerhof, Grand Duc, Ahr/Germany, 2003 G
Rank Table for Judges
Judge Wine -> A B C D E F G
Susan 4. 6. 7. 2. 5. 1. 3. Mike 4. 5. 6. 2. 7. 3. 1. Shirim 6. 4. 3. 1. 5. 2. 7. Karl 3. 5. 7. 2. 6. 4. 1.
Table of Votes Against
Wine -> A B C D E F G Rank
1 0. 0. 0. 1. 0. 1. 2. 2 0. 0. 0. 3. 0. 1. 0. 3 1. 0. 1. 0. 0. 1. 1. 4 2. 1. 0. 0. 0. 1. 0. 5 0. 2. 0. 0. 2. 0. 0. 6 1. 1. 1. 0. 1. 0. 0. 7 0. 0. 2. 0. 1. 0. 1.
Votes -> 17. 20. 23. 7. 23. 10. 12.
We now measure the amount of correlation (W) among the judges: W = 1.0 => perfect correlation, W = 0 => no correlation
We also provide a probability measure that this correlation is due to chance
In this case the correlation is = 0.5536
Probability that correlation is due to chance = 0.0387
We compute the correlation of each taster with the average ranking of the oth- ers and with prices. 1.0 => perfect, 0 => none, -1.0 => total disagreement
Name of Person Correlation R Correlation Price
Mike 0.8571 0.7143 Susan 0.8289 0.6429 Karl 0.7857 0.8214 Shirim -0.0714 -0.3929
Rank correlation between the average ranking of wines and the prices
Correlation = 0.6307 Critical value = 0.5710
Table of Aggregate Wine Quality
Wine Ranksum Significance Wine Ranksum Significance Alphabetic Order Ranksum Order
A 17.0 D 7.0 SIGNIFICANTLY HIGH QUALITY B 20.0 F 10.0 C 23.0 SIGNIFICANTLY LOW QUALITY G 12.0 D 7.0 SIGNIFICANTLY HIGH QUALITY A 17.0 E 23.0 SIGNIFICANTLY LOW QUALITY B 20.0 F 10.0 E 23.0 SIGNIFICANTLY LOW QUALITY G 12.0 C 23.0 SIGNIFICANTLY LOW QUALITY
Friedman Test: Chi-square = 13.2857 Probability = 0.0387
Identification of Wines Votes Against
Wine A is Louis Latour, Chambolle-Musigny 2002 17. Wine B is Ponzi Tavola, Pinot, Willamette 2004 20. Wine C is Mirassou Pinot Noir, California, 2004 23. Wine D is Capiaux Chimera, Pinot, Sonoma County, 2004 7. Wine E is Tamar Ridge, Devil's Corner, Pinot, Tasmania, 23. Wine F is Hitching Post, Hartley Ostini, Pinot, S Barba 10. Wine G is Deutzerhof, Grand Duc, Ahr/Germany, 2003 12.
Pairwise Rank Correlations
Correlations must exceed in absolute value 0.79 for significance at the 0.0 level and must exceed 0.71 for significance at the 0.1 level
Susan Mike Shirim
Susan 1.000 0.750 0.250 Mike 0.750 1.000 0.000 Shirim 0.250 0.000 1.000 Karl 0.714 0.929 -0.214
Karl
Susan 0.714 Mike 0.929 Shirim -0.214 Karl 1.000
Pairwise correlations in descending order
0.929 Mike and Karl Significantly positive 0.750 Susan and Mike Significantly positive 0.714 Susan and Karl Significantly positive 0.250 Susan and Shirim Not significant 0.000 Mike and Shirim Not significant -0.214 Shirim and Karl Not significant
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