*** post for FREE via your newsreader at post.newsfeeds.com *** I've got linear function Y=f(x1;x2;x3;x4) of theoretical distribution, in addition x3=g1(x1), x4=g2(x1;x2) Also I've got empirical sample consists of N sets of these values (magnitudes) Y1 x11 x12 x13 x14 .. Yn xn1 xn2 xn3 xn4 as since x3 x4 are dependent of x1 x2 it's reasonable to evaluate x3 x4 by x1 x2 accordingly and analyse Y only from x1 x2. But I've got a strong believe that in fact all of the arguments are independent or dependence is insignificant. How to prove this mathematically using empitical observations? Is any sense in making correlation matrix 4x4 (Pearson) and proving insignificance of coefficient of correlation (Student t-criterion for example) between arguments?
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