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chitest and interpretation of the result

  1. #1
    Christine
    Guest

    chitest and interpretation of the result

    When I am using the statistical function "chitest" (the word is in Danish,
    since i dont have the english version, but i presume the word is more or less
    the same in the english version), I have difficulties interpretating the
    result.

    If the result is 0.01, does is mean that there is 1% probability of my
    samples originating from the same underlying distribution? Or does it mean,
    that my samples are from the underlying distribution with a CI of 1 %???

    I sincerely hope someone in this forum can help me.

    Christine -

  2. #2
    Michael R Middleton
    Guest

    Re: chitest and interpretation of the result

    Christine -

    > When I am using the statistical function "chitest" (the word is in Danish,
    > since i dont have the english version, but i presume the word is more or
    > less the same in the english version), I have difficulties interpretating
    > the result. If the result is 0.01, does is mean that there is 1%
    > probability of my samples originating from the same underlying
    > distribution? Or does it mean, that my samples are from the underlying
    > distribution with a CI of 1 %??? <


    Because of the way the CHITEST function computes degrees of freedom, it is
    most appropriate only for tests of the independence of classifications
    arranged in a contingency table.

    If you are doing a chi-square test for goodness of fit (comparing sample
    data with a hypothesized underlying distribution), I recommend using the
    CHIDIST function to obtain the p-value. To use CHIDIST, you must first
    compute the chi-square statistic yourself. But CHIDIST allows you to specify
    the appropriate degrees of freedom for your situation.

    The p-value returned by both CHITEST and CHIDIST is a standard way of
    reporting the result of a hypothesis test. In general, a p-value reports how
    likely it is that the observed sample result, or a sample result more
    extreme, could be obtained if the null hypothesis is true.

    For a test of the independence of classifications arranged in a contingency
    table, the CHITEST function returns the probability that the actual
    frequencies (or more extreme frequencies) could be obtained in a random
    sample if the classifications are independent.

    For a test of goodness of fit, the CHIDIST function returns the probability
    that the actual frequencies (or more extreme frequencies) could be obtained
    in a random sample from the hypothesized distribution.

    In general, a small p-value indicates a very unlikely result under the null
    hypothesis, so the null hypothesis may be rejected. A large p-value
    indicates the observed sample is quite likely to occur under the null
    hypothesis, so the null hypothesis may not be rejected.

    - Mike
    www.mikemiddleton.com



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