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Distances between raw and z-scores

  1. Jan 3, 2005 #1
    Hi all,
    I know how to express the Euclidean distance between two z-normalized vectors using the Pearson correlation coefficient of the raw vectors:

    D^2(x_norm, y_norm)=2n(1-corr(x,y))

    where the left term is the euclidean distance between the normalized forms and corr is the Pearson correlation coefficient.
    The problem is that I would like to express the Euclidean distance beteen the normalized forms as a function of the Euclidena distance of the raw forms:

    D^2(x_norm, y_norm) = f(D^2(x,y))

    and so far I cannot achieve this.
    So, my question is, could someone point me a reference where eventually I could find anything on the topic?

    Thank you,
  2. jcsd
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