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  • Jun 5, 2012, 01:49 PM
    dreanne
    P-value, median coefficients, system of equations
    Hi!
    I am running a system of 28 equations, using OLS. I wish to determine the significance of the median coefficients by calculating the associated p-values.
    What standard deviation should I use?

    To give more details:
    My sample is partitioned into 28 industries, I thus estimate:
    Y1 = a1 + b1X1 + c1W1 + e1
    ...
    y28=a28 +b28X28 + c28W28 + e28

    I want to assess how significantly different from zero is median(X), and similarly for W and a.
    So my p-value should be p-value=2*(1-prob((med(x)-0))/std).
    Problem is, what is the correct standard deviation? The standard deviation of the 28 estimated coefficients? The standard deviation of the X variable in the sample at large?

    Thank you!

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