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Math Help - Permutation Tests

  1. #1
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    Permutation Tests

    The sorted values in the randomization distribution are:
    -0.95 -0.95 -0.94 -0.87 -0.86 -0.86 -0.83 -0.81 -0.81 -0.80
    -0.79 -0.77 -0.77 -0.76 -0.76 -0.74 -0.74 -0.74 -0.74 -0.74
       960 more values   
    0.74 0.75 0.76 0.76 0.76 0.78 0.80 0.81 0.81 0.82
    0.82 0.82 0.84 0.90 0.90 0.90 0.94 1.01 1.02 1.10
    (a) 2 pts. What is the observed value of the test statistic used in the randomization test?
    (b) 5 pts. Compute the randomization-based two-sided p-value for testing the null hypothesis
    of no e ffect of washing. If you have insufficient information, indicate what addition information you need.

    I'm not sure how to calculated a randomization test without the actual data. Could anyone explain the process to me?
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  2. #2
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    Re: Permutation Tests

    Hey renolovexoxo.

    Can you be more specific about the kind of test you are referring to? Randomization suggests you are using a simulation method based on some sample data, but there are many different kinds of simulation methods that you can use.

    A permutation test is where you calculate all possible sample combinations under a combinatorial constraint and then use this to get a distribution of test-statistics which you apply a rejection region to to either reject or fail to reject a particular hypotheses.

    What kind of technique are you looking at?
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  3. #3
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    Re: Permutation Tests

    This was about all the problem said, I am assuming that it is a permutation test, since that is all we learned about in class. That's how I had hoped to proceed, but I don't know how.
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  4. #4
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    Re: Permutation Tests

    You usually don't use permutation tests when you have a huge sample size: there's no real point for this.

    You need to give more context for the question: what does this distribution of numbers represent? What are the null and alternative hypotheses in relation to the data and what the data represents?
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  5. #5
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    Re: Permutation Tests

    I wouldn't if I had a choice, this is my question that I have to answer.
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