WINETASTER ON 02/04/13 WITH 13 JUDGES AND 5 WINES BASED ON GRADES, IDENT=N Copyright (c) 1995-2013 Richard E. Quandt, V. 1.65 Shown here with permission from Lenox Wine Club Grade Table for Judges Judge Wine -> A B C D E bg 3.0 4.0 5.0 2.0 1.0 em 4.0 1.0 3.0 2.0 5.0 gr 5.0 3.0 4.0 2.0 1.0 jm 5.0 3.0 2.0 4.0 1.0 jr 5.0 3.0 4.0 2.0 1.0 km 5.0 4.0 3.0 2.0 1.0 lr 1.5 3.0 4.5 4.5 1.5 ls 5.0 4.0 2.0 3.0 1.0 ms 2.0 5.0 1.0 3.0 4.0 mp 3.0 1.0 2.0 5.0 4.0 rp 3.5 5.0 2.0 3.5 1.0 sg 2.0 5.0 4.0 3.0 1.0 tb 3.0 5.0 4.0 2.0 1.0 Conversion of Grades to Ranks Judge Wine -> A B C D E bg 3.0 2.0 1.0 4.0 5.0 em 2.0 5.0 3.0 4.0 1.0 gr 1.0 3.0 2.0 4.0 5.0 jm 1.0 3.0 4.0 2.0 5.0 jr 1.0 3.0 2.0 4.0 5.0 km 1.0 2.0 3.0 4.0 5.0 lr 4.5 3.0 1.5 1.5 4.5 ls 1.0 2.0 4.0 3.0 5.0 ms 4.0 1.0 5.0 3.0 2.0 mp 3.0 5.0 4.0 1.0 2.0 rp 2.5 1.0 4.0 2.5 5.0 sg 4.0 1.0 2.0 3.0 5.0 tb 3.0 1.0 2.0 4.0 5.0 Table of Votes Against Wine-> A B C D E Rank 1.0 5.0 4.0 1.0 1.0 1.0 1.5 0.0 0.0 1.0 1.0 0.0 2.0 1.0 3.0 4.0 1.0 2.0 2.5 1.0 0.0 0.0 1.0 0.0 3.0 3.0 4.0 2.0 3.0 0.0 3.5 0.0 0.0 0.0 0.0 0.0 4.0 2.0 0.0 4.0 6.0 0.0 4.5 1.0 0.0 0.0 0.0 1.0 5.0 0.0 2.0 1.0 0.0 9.0 Votes-> 31.0 32.0 37.5 40.0 54.5 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 = 0.2134 Probability that correlation is due to chance = 0.0269 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 km 0.9747 -0.6000 ls 0.8721 -0.7000 tb 0.7000 -0.1000 jr 0.7000 -0.7000 gr 0.7000 -0.7000 rp 0.6669 -0.3591 jm 0.5000 -0.9000 sg 0.4000 0.0000 bg 0.3000 -0.2000 lr -0.1581 -0.1581 ms -0.2000 0.6000 em -0.6000 0.1000 mp -0.8000 -0.2000 Summary Grade Statistics for Wines A B C D E Mean 3.62 3.54 3.12 2.92 1.81 StdDev 1.26 1.34 1.18 1.02 1.41 Summary Grade Statistics for Judges Name Mean Std.Dev. bg 3.00 1.41 em 3.00 1.41 gr 3.00 1.41 jm 3.00 1.41 jr 3.00 1.41 km 3.00 1.41 lr 3.00 1.34 ls 3.00 1.41 ms 3.00 1.41 mp 3.00 1.41 rp 3.00 1.38 sg 3.00 1.41 tb 3.00 1.41 Wine Ranksum Significance Wine Ranksum Significance Alphabetic Order Ranksum Order A 31.0 A 31.0 B 32.0 B 32.0 C 37.5 C 37.5 D 40.0 D 40.0 E 54.5 SIGNIFICANTLY LOW QUALITY E 54.5 SIGNIFICANTLY LOW QUALITY Friedman Test: Chi-square = 11.0973 Probability = 0.0255 Identification of Wines Votes Against Wine A is Bota Box 2011 31.0 Wine B is Catena Zapata 2008 32.0 Wine C is Mulderbosch Faithful Hound 2008 37.5 Wine D is Four Sisters Central Victoria 2010 40.0 Wine E is Neyers Napa Cabernet Sauvignon 2009 54.5 rho(ranking,prices) = -0.6000 Sig. level = 0.8000
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