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Math Help - how to find the probability of Type II error

  1. #1
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    how to find the probability of Type II error

     f(x : \theta)=\frac{\theta}{(x+\theta)^{2}} , \ \ \ H_{0}:\theta=1, \ \ \ H_{1}:\theta=2



    Mr F edit: Additional information given to me via pm:

    x>0, theta>0, is an unknown parameter.

    find the likelihood ratio test .
    and show the probability of TYPE II error is

    19/21
    Last edited by mr fantastic; February 22nd 2009 at 04:43 AM.
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  2. #2
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    Quote Originally Posted by szpengchao View Post
     f(x : \theta)=\frac{\theta}{(x+\theta)^{2}} , \ \ \ H_{0}:\theta=1, \ \ \ H_{1}:\theta=2



    Mr F edit: Additional information given to me via pm:

    x>0, theta>0, is an unknown parameter.

    find the likelihood ratio test .
    and show the probability of TYPE II error is

    19/21
    More information is needed here I think to calculator \beta. A value of \alpha, perhaps ....?
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  3. #3
    MHF Contributor matheagle's Avatar
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    Once we have alpha we can get Beta.
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