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Phi and Cramer's V Approximate Significance

  • 1.  Phi and Cramer's V Approximate Significance

    Posted Thu November 03, 2022 03:08 AM
    Hello to all,

    I have a question regarding Phi and Cramer's coefficients- what does Approximate Significance means? how is it calculated? does it have any connection to the chi-square asymptotic significance?

    Any lead or info is much appreciated!

    thanks!

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    Meni Berger
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    #SPSSStatistics


  • 2.  RE: Phi and Cramer's V Approximate Significance

    Posted Thu November 03, 2022 09:26 AM
    Hi.

    I don't know all this in detail, but this much I can tell you, at least by way of an example.

    Note the red boxes: Chi-Square, Phi, and Cramers' V asymptotic and approximate significance are identical (this example is 6 digits, but they are identical to at least 10 digits).

    Note the blue boxes: Exact significances are also identical.

    Obviously, the exact and asymptotic significances differ. The asymptotic results are estimates (based on the chi-square distribution) of the true underlying probability distribution (in this case the hypergeometric distribution) used to calculate the exact significance.

    I have forwarded your question to the statisticians for more details.

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    Rick Marcantonio
    Quality Assurance
    IBM
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    Original Message