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Math Help - Goodness of fit and Benford's law

  1. #1
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    Exclamation Goodness of fit and Benford's law

    Hello,

    for a statistics homework I have to find out if these data pass the goodness-of-fit test. I don't like the results very much though, so I'd appreciate if someone can look at this.
    http://michal.sustr.sk/chi-kv-benford-en.xls

    For each leading number I found out their frequency, and then calculated chi square, But the resulting chi square is so big, and I don't know how to set up the test so it can pass sometimes. Thank you very much
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by fiso View Post
    Hello,

    for a statistics homework I have to find out if these data pass the goodness-of-fit test. I don't like the results very much though, so I'd appreciate if someone can look at this.
    http://michal.sustr.sk/chi-kv-benford-en.xls

    For each leading number I found out their frequency, and then calculated chi square, But the resulting chi square is so big, and I don't know how to set up the test so it can pass sometimes. Thank you very much
    1. You calculate the critical value for acceptance/rejection at the significance level you want and compare the value of \chi^2 you have with that to determine acceptance/rejection of the hypothesis.

    2. You can use an asymptotic approximation for the complementary cumulative distribution (See Abromowitz and Stegun).

    CB
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