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Math Help - Coding method

  1. #1
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    Coding method

    One of the formulae for coefficient of correlation is given as
    r=\frac{n\Sigma XY-(\Sigma X)(\Sigma Y)}{\sqrt{[N\Sigma X^2-(\Sigma X)^2][N\Sigma Y^2-(\Sigma Y)^2]}} -----eq(1)

    For coding method of bivariate frequency table, it's given as

    r=\frac{n\Sigma fu_Xu_Y-(\Sigma f_Xu_X)(\Sigma f_Yu_Y)}{\sqrt{[N\Sigma f_Xu_X^2-(\Sigma f_Xu_X)^2][N\Sigma f_Yu_Y^2-(\Sigma f_Yu_Y)^2]}} -----eq(2)

    I need to derive eq(2).

    I began by \overline X=A+(\frac{\Sigma f_Xu_X}{n})c, where c is class interval, and u=0, \pm1, \pm 2, ... and got

    \Sigma X = NA_x+c\Sigma f_xu_x , similarly \Sigma Y = NA_y+c\Sigma f_yu_y, but I do not know how to get to \Sigma XY

    I have a hunch that I need to make a table, but how?

    Can anyone point me in the right direction?
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  2. #2
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    I solved it.

    Thread closed.
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