Wine Chemistry and Biochemistry

13 Statistical Techniques for the Interpretation of Analytical Data 687 Whithout With Skins 30 35 40 45 50 55 60 65 1-propanol W ...

688 P.J. Mart ́ın-Alvarez ́ 13.2 Bivariate Statistical Techniques In this section we consider the statistical techniques, correl ...

13 Statistical Techniques for the Interpretation of Analytical Data 689 Table 13.10Pearson’s correlation coefficients between th ...

690 P.J. Mart ́ın-Alvarez ́ To assess the statistical validity of the fitted regression equation, the ANOVA principle of splitti ...

13 Statistical Techniques for the Interpretation of Analytical Data 691 13.2.2.1 Applications Linear calibration is the most imp ...

692 P.J. Mart ́ın-Alvarez ́ 0123456 Concentration 0.00 0.05 0.10 0.15 0.20 Relative area Relative Area = .00589 + .030635*Concen ...

13 Statistical Techniques for the Interpretation of Analytical Data 693 of these techniques can have the following objectives: ( ...

694 P.J. Mart ́ın-Alvarez ́ X 1 X 2 ...Xp Observations 1 2 ... n ⎛ ⎜ ⎜ ⎜ ⎜ ⎝ x 1 , 1 x 1 , 2 ...x 1 ,p x 2 , 1 x 2 , 2 ...x 2 ,p ...

13 Statistical Techniques for the Interpretation of Analytical Data 695 nal, it is also possible to consider the equationX(n,p)= ...

696 P.J. Mart ́ın-Alvarez ́ Table 13.14Results of applying principal components analysis to the 10 volatilecompounds ana- lyzed ...

13 Statistical Techniques for the Interpretation of Analytical Data 697 Ma98Ma98 Ma99 Ma99 Ai97 Ai97 Ai98 Ai98 Tr97 Tr97 Tr98 Tr ...

698 P.J. Mart ́ın-Alvarez ́ observations, which are generally agglomerative (initially starting with the same number of observat ...

13 Statistical Techniques for the Interpretation of Analytical Data 699  Single link (or nearest neighbour) method,d(C i,Cj) is ...

700 P.J. Mart ́ın-Alvarez ́ Mo98Mo98Tr98Tr98Mo97Mo97Tr97Tr97Ai97Ai98Ai98Ai97Ma99Ma99Ma98Ma98 0 20 40 60 80 100 120 Linkage Dista ...

13 Statistical Techniques for the Interpretation of Analytical Data 701 areLinear Discriminant Analysis(LDA),Quadratic Discrimin ...

702 P.J. Mart ́ın-Alvarez ́ 13.3.3.3 kNN Method This is anon-parametricmethod that calculates thedistances matrixbetween alln ob ...

13 Statistical Techniques for the Interpretation of Analytical Data 703 Table 13.16Results of applying LDA to the data of 10 vol ...

704 P.J. Mart ́ın-Alvarez ́ Table 13.19Results of applying CVA to the data of 10 volatile compounds in order to discriminate the ...

13 Statistical Techniques for the Interpretation of Analytical Data 705 Table 13.22Results of applying CVA to the data of 10 vol ...

706 P.J. Mart ́ın-Alvarez ́ –40 –30 –20 –10 0 10 20 30 40 50 Canonical variable 1 –10 –8 –6 –4 –2 0 2 4 6 8 10 12 14 Canonical v ...