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Thread: identification with ordinal independent variable

  1. #1
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    identification with ordinal independent variable


    Can you help me find the relevant literature for this problem?
    My regression model is: Yi=Xi*b+Ei, where Yi is income and Xi is a score, Ei the error.
    I don't observe Xi but only Ri=rank(Xi), that is instead of (13.4,13.5,14,17.5,18,..) I only observe (1st,2nd,3rd,..). [I lose the distance].
    Are there methods to say something about b? Suppose that I would like to argue that "b" is actually different from the first three observations, is there a way to test this without observing Xi?

    Thanks very much for your help!

  2. #2
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    Re: identification with ordinal independent variable

    interesting question. I don't think it is possible but do let us know if you find otherwise.

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