Applied Data Mining for Business and Industry by Giudici, by Giudici

By Giudici

Utilized information Mining for enterprise and through Giudici, Paolo, Figini, Silvia [Wiley,2009] (Paperback) 2d version [Paperback]

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Extra resources for Applied Data Mining for Business and Industry by Giudici, Paolo, Figini, Silvia [Wiley,2009] (Paperback) 2nd edition [Paperback]

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N =1 26 APPLIED DATA MINING FOR BUSINESS AND INDUSTRY S is symmetric and positive definite, meaning that for any non-zero vector x, x Sx > 0. It may be appropriate, for example in comparing different databases, to summarise the whole variance–covariance matrix with a real number that expresses the ‘overall variability’ of the system. There are two measures available for this purpose. The first measure, the trace, denoted by tr, is the sum of the elements on the main diagonal of S, the variances of the variables: p tr(S) = σs2 .

2. The odds ratio can be equal to any non-negative number, that is, it can take values in the interval [0, +∞). When X and Y are independent π1|1 = π1|0 , so that odds1 = odds0 and θ = 1. On the other hand, depending on whether the odds ratio is greater or smaller than 1 it is possible to evaluate the sign of the association: 34 APPLIED DATA MINING FOR BUSINESS AND INDUSTRY • 3. for θ > 1 there is a positive association, since the odds of success are greater in row 1 than in row 0; • for 0 < θ < 1 there is a negative association, since the odds of success are greater in row 0 that in row 1.

2. The odds ratio can be equal to any non-negative number, that is, it can take values in the interval [0, +∞). When X and Y are independent π1|1 = π1|0 , so that odds1 = odds0 and θ = 1. On the other hand, depending on whether the odds ratio is greater or smaller than 1 it is possible to evaluate the sign of the association: 34 APPLIED DATA MINING FOR BUSINESS AND INDUSTRY • 3. for θ > 1 there is a positive association, since the odds of success are greater in row 1 than in row 0; • for 0 < θ < 1 there is a negative association, since the odds of success are greater in row 0 that in row 1.

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