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- Noncentral_hypergeometric_distributions abstract "In statistics, the hypergeometric distribution is the discrete probability distribution generated by picking colored balls at random from an urn without replacement.Various generalizations to this distribution exist for cases where the picking of colored balls is biased so that balls of one color are more likely to be picked than balls of another color.This can be illustrated by the following example. Assume that an opinion poll is conducted by calling random telephone numbers. Unemployed people are more likely to be home and answer the phone than employed people are. Therefore, unemployed respondents are likely to be over-represented in the sample. The probability distribution of employed versus unemployed respondents in a sample of n respondents can be described as a noncentral hypergeometric distribution.The description of biased urn models is complicated by the fact that there is more than one noncentral hypergeometric distribution. Which distribution you get depends on whether items (e.g. colored balls) are sampled one by one in a manner where there is competition between the items, or they are sampled independently of each other.There is widespread confusion about this fact. The name noncentral hypergeometric distribution has been used for two different distributions, and several scientists have used the wrong distribution or erroneously believed that the two distributions were identical.The use of the same name for two different distributions has been possible because these two distributions were studied by two different groups of scientists with hardly any contact with each other. Agner Fog (2007, 2008) has suggested that the best way to avoid confusion is to use the name Wallenius' noncentral hypergeometric distribution for the distribution of a biased urn model where a predetermined number of items are drawn one by one in a competitive manner, while the name Fisher's noncentral hypergeometric distribution is used where items are drawn independently of each other, so that the total number of items drawn is known only after the experiment. The names refer to Kenneth Ted Wallenius and R. A. Fisher who were the first to describe the respective distributions.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. Some scientists are strongly opposed to using this name.A thorough explanation of the difference between the two noncentral hypergeometric distributions is obviously needed here.".
- Noncentral_hypergeometric_distributions wikiPageExternalLink theory.
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- Noncentral_hypergeometric_distributions wikiPageRevisionID "646964224".
- Noncentral_hypergeometric_distributions wikiPageWikiLink Bias_(statistics).
- Noncentral_hypergeometric_distributions wikiPageWikiLink Binomial_distribution.
- Noncentral_hypergeometric_distributions wikiPageWikiLink Category:Discrete_distributions.
- Noncentral_hypergeometric_distributions wikiPageWikiLink Category:Probability_distributions.
- Noncentral_hypergeometric_distributions wikiPageWikiLink Competition.
- Noncentral_hypergeometric_distributions wikiPageWikiLink Conditional_probability_distribution.
- Noncentral_hypergeometric_distributions wikiPageWikiLink File:FishersNoncentralHypergeometric1.png.
- Noncentral_hypergeometric_distributions wikiPageWikiLink File:NoncentralHypergeometricCompare1.png.
- Noncentral_hypergeometric_distributions wikiPageWikiLink File:NoncentralHypergeometricCompare2.png.
- Noncentral_hypergeometric_distributions wikiPageWikiLink File:WalleniusNoncentralHypergeometric1.png.
- Noncentral_hypergeometric_distributions wikiPageWikiLink Fishers_noncentral_hypergeometric_distribution.
- Noncentral_hypergeometric_distributions wikiPageWikiLink Hypergeometric_distribution.
- Noncentral_hypergeometric_distributions wikiPageWikiLink Odds.
- Noncentral_hypergeometric_distributions wikiPageWikiLink Opinion_poll.
- Noncentral_hypergeometric_distributions wikiPageWikiLink Poisson_point_process.
- Noncentral_hypergeometric_distributions wikiPageWikiLink Probability_distribution.
- Noncentral_hypergeometric_distributions wikiPageWikiLink Ronald_Fisher.
- Noncentral_hypergeometric_distributions wikiPageWikiLink Sample_(statistics).
- Noncentral_hypergeometric_distributions wikiPageWikiLink Sampling_bias.
- Noncentral_hypergeometric_distributions wikiPageWikiLink Statistics.
- Noncentral_hypergeometric_distributions wikiPageWikiLink Urn_problem.
- Noncentral_hypergeometric_distributions wikiPageWikiLink Wallenius_noncentral_hypergeometric_distribution.
- Noncentral_hypergeometric_distributions wikiPageWikiLinkText "Noncentral hypergeometric distributions".
- Noncentral_hypergeometric_distributions wikiPageWikiLinkText "noncentral hypergeometric distributions".
- Noncentral_hypergeometric_distributions wikiPageUsesTemplate Template:Citation.
- Noncentral_hypergeometric_distributions wikiPageUsesTemplate Template:Main.
- Noncentral_hypergeometric_distributions wikiPageUsesTemplate Template:ProbDistributions.
- Noncentral_hypergeometric_distributions subject Category:Discrete_distributions.
- Noncentral_hypergeometric_distributions subject Category:Probability_distributions.
- Noncentral_hypergeometric_distributions hypernym Distribution.
- Noncentral_hypergeometric_distributions type Software.
- Noncentral_hypergeometric_distributions comment "In statistics, the hypergeometric distribution is the discrete probability distribution generated by picking colored balls at random from an urn without replacement.Various generalizations to this distribution exist for cases where the picking of colored balls is biased so that balls of one color are more likely to be picked than balls of another color.This can be illustrated by the following example. Assume that an opinion poll is conducted by calling random telephone numbers.".
- Noncentral_hypergeometric_distributions label "Noncentral hypergeometric distributions".
- Noncentral_hypergeometric_distributions sameAs Q7049203.
- Noncentral_hypergeometric_distributions sameAs m.02rtc95.
- Noncentral_hypergeometric_distributions sameAs Necentralna_hipergeometrična_porazdelitev.
- Noncentral_hypergeometric_distributions sameAs Q7049203.
- Noncentral_hypergeometric_distributions wasDerivedFrom Noncentral_hypergeometric_distributions?oldid=646964224.
- Noncentral_hypergeometric_distributions isPrimaryTopicOf Noncentral_hypergeometric_distributions.