2003
DOI: 10.1155/s1173912603000154
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Inequalities between hypergeometric tails

Abstract: Abstract. A special inequality between the tail probabilities of certain related hypergeometrics was shown by Seneta and Phipps [19] to suggest useful 'quasi-exact' alternatives to Fisher's [5] Exact Test. With this result as motivation, two inequalities of Hájek and Havránek [6] are investigated in this paper and are generalised to produce inequalities in the form required. A parallel inequality in binomial tail probabilities is also established.

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Cited by 7 publications
(2 citation statements)
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“…The pathway analysis and inference were performed using Fisher’s exact tests, which evaluate whether two categorical variables are statistically independent 49 , 50 , with low P -values indicating a lack of independence. For the purposes of this analysis, we tested whether significant partial correlation coefficients accumulated at given pathway distances.…”
Section: Methodsmentioning
confidence: 99%
“…The pathway analysis and inference were performed using Fisher’s exact tests, which evaluate whether two categorical variables are statistically independent 49 , 50 , with low P -values indicating a lack of independence. For the purposes of this analysis, we tested whether significant partial correlation coefficients accumulated at given pathway distances.…”
Section: Methodsmentioning
confidence: 99%
“…The overlap between biological reference and correlation network was calculated using Fisher’s exact tests [ 55 , 56 ], which evaluate whether two categorical variables are statistically independent [ 57 ], with low p -values indicating a lack of independence. We classified all glycan pairs in a 2 × 2 contingency table, according to whether they were connected by an edge in both the data-driven GGM and the biochemical pathway (true positives), only in the GGM (false positives), only in the pathway (false negatives), or in neither (true negatives).…”
Section: Methodsmentioning
confidence: 99%