In statistics, the "'hypergeometric test "'uses the hypergeometric distribution to calculate the statistical significance of having drawn a specific k successes ( out of n total draws ) from the aforementioned population.
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Named joint distributions that arise frequently in statistics include the multivariate normal distribution, the multivariate stable distribution, the multinomial distribution, the negative multinomial distribution, the multivariate hypergeometric distribution, and the elliptical distribution.
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If the total number " n " of balls taken is known then the conditional distribution of the number of taken red balls for given " n " is Fisher's noncentral hypergeometric distribution.
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The statistical significance of the overlap between genes from a pathway and the list of differently expressed genes is determined by such statistical tests as Fisher's exact test, Hypergeometric distribution test or Jaccard index.
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Fisher's noncentral hypergeometric distribution has previously been given the name " extended hypergeometric distribution ", but this name is rarely used in the scientific literature, except in handbooks that need to distinguish between the two distributions.
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Fisher's noncentral hypergeometric distribution has previously been given the name " extended hypergeometric distribution ", but this name is rarely used in the scientific literature, except in handbooks that need to distinguish between the two distributions.
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This has the same relationship to the multinomial distribution that the hypergeometric distribution has to the binomial distribution the multinomial distribution is the " with-replacement " distribution and the multivariate hypergeometric is the " without-replacement " distribution.
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The best known method is to approximate the multivariate Wallenius distribution by a multivariate Fisher's noncentral hypergeometric distribution with the same mean, and insert the mean as calculated above in the approximate formula for the variance of the latter distribution.
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According to the hypergeometric distribution, one would expect to try about 10 ^ 57 times ( 10 followed by 56 zeroes ) before picking 39 or more of the cholesterol genes from a pool of 10, 000 by drawing 200 genes at random.
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Yet those techniques offer the same chance of winning as any other system or no system at all " if the game is fair, " said Baggerly, who said assessing such odds is covered by the statistical theory of " hypergeometric distribution ."
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