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Hi all, I was going over the poll
https://www.physicsforums.com/showthread.php?t=766275, and I was wondering how one would go about testing whether the distribution of PF's member nationalities is "the same" (up to some confidence level) than the distribution of the world's population.
Would this be a sort-of ANOVA (subtracting the proportions of members that live in the same region, to test for equality and decide --statistically--which pairs (PF region, World region) are equally-distributed) , but testing for equality of proportions (e.g., % of PF from Asia vs. World's P ), or would it make more sense by some reasonable standard to use some goodness-of-fit test; maybe a χ^2 with the world's distribution proportions as the expected ones ?
I think he χ^2 would just tell us about the distributions in general, but would not help us decide --statistically --which regions are similarly-distributed and which are not, and the ANOVA equivalent (if there is one) of the differences of proportions would tell us about differences in distribution between regions .
https://www.physicsforums.com/showthread.php?t=766275, and I was wondering how one would go about testing whether the distribution of PF's member nationalities is "the same" (up to some confidence level) than the distribution of the world's population.
Would this be a sort-of ANOVA (subtracting the proportions of members that live in the same region, to test for equality and decide --statistically--which pairs (PF region, World region) are equally-distributed) , but testing for equality of proportions (e.g., % of PF from Asia vs. World's P ), or would it make more sense by some reasonable standard to use some goodness-of-fit test; maybe a χ^2 with the world's distribution proportions as the expected ones ?
I think he χ^2 would just tell us about the distributions in general, but would not help us decide --statistically --which regions are similarly-distributed and which are not, and the ANOVA equivalent (if there is one) of the differences of proportions would tell us about differences in distribution between regions .
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