1990
DOI: 10.1080/01621459.1990.10475318
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Exact Properties of Some Exact Test Statistics for Comparing Two Binomial Proportions

Abstract: Using exact unconditional distributions, we evaluated the size and power of four exact test procedures and three versions of the X 2 statistic for the two-sample binomial problem in small-to-moderate sample sizes. The exact unconditional test (Suissa and Shuster 1985) and Fisher's (1935) exact test are the only tests whose size can be guaranteed never to exceed the nominal size. Though the former is distinctly more powerful, it is also computationally difficult. We propose an alternative that approximates the … Show more

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Cited by 124 publications
(88 citation statements)
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“…Read counts for each of the remaining SNPs were generated and imported into R (www.r-project.org) to test for allelic expression differences, using a Storer-Kim test (43) and previously established cutoff thresholds (11), following a suggested protocol to identify allele-specific expression (11,44,45). The Storer-Kim test was used to test the null hypothesis (h o : p1 -p2 = 0) in individuals with active ovaries and inactive ovaries separately, where p1 is defined as the proportion of Africanized reads in ExA individuals and p2 is defined as the proportion of Africanized reads in AxE individuals.…”
Section: Methodsmentioning
confidence: 99%
“…Read counts for each of the remaining SNPs were generated and imported into R (www.r-project.org) to test for allelic expression differences, using a Storer-Kim test (43) and previously established cutoff thresholds (11), following a suggested protocol to identify allele-specific expression (11,44,45). The Storer-Kim test was used to test the null hypothesis (h o : p1 -p2 = 0) in individuals with active ovaries and inactive ovaries separately, where p1 is defined as the proportion of Africanized reads in ExA individuals and p2 is defined as the proportion of Africanized reads in AxE individuals.…”
Section: Methodsmentioning
confidence: 99%
“…Therefore, we could detect significant DAE between the two reciprocal F1 crosses (parent-of-origin effect) by rejecting the null hypothesis p 1 ¼ p 2 . Chi-squared test or Fisher's exact test could be used, but the Storer-Kim test has more power when the four counts are smaller (Storer and Kim, 1990). But the chi-squared or Storer-Kim test alone should not be relied on, because application of these tests shows a clear inflation of chi-squared statistics, indicating a consistent (Wang et al, 2013b).…”
Section: Estimation Of the Dae Ratio At Informative Snp Positions Andmentioning
confidence: 99%
“…The question that naturally arises is, is the multiplicity probability p A of system A similar to p B of system B? As in the case of binomial confidence intervals, there are several tests available in the literature (see Storer & Kim [1990] for a review). A conservative ''exact'' hypothesis test is based on Fisher (1935), where the hypothesis that p A ¼ p B is tested.…”
Section: B2 Comparing Binomial Distributionsmentioning
confidence: 99%