Search results for "Continuity correction"

showing 3 items of 3 documents

An alternative representation of Altham's multiplicative-binomial distribution

1998

Abstract Cox (1972) introduced a log-linear representation for the joint distribution of n binary-dependent responses. Altham (1978) derived the distribution of the sum of such responses, under a multiplicative, rather than log-linear, representation and called it multiplicative-binomial. We propose here an alternative form of the multiplicative-binomial, which is derived from the original Cox's representation and is characterized by intuitively meaningful parameters, and compare its first two moments with those of the standard binomial distribution.

Statistics and ProbabilityBinomial distributionCombinatoricsBeta negative binomial distributionUnivariate distributionMathematics::Commutative AlgebraBeta-binomial distributionNegative binomial distributionMultinomial distributionContinuity correctionStatistics Probability and UncertaintyNegative multinomial distributionMathematicsStatistics & Probability Letters
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Efficient Simulation of Multivariate Binomial and Poisson Distributions

1998

Power investigations, for example, in statistical procedures for the assessment of agreement among multiple raters often require the simultaneous simulation of several dependent binomial or Poisson distributions to appropriately model the stochastical dependencies between the raters' results. Regarding the rather large dimensions of the random vectors to be generated and the even larger number of interactions to be introduced into the simulation scenarios to determine all necessary information on their distributions' dependence stucture, one needs efficient and fast algorithms for the simulation of multivariate Poisson and binomial distributions. Therefore two equivalent models for the mult…

Statistics and ProbabilityPoisson binomial distributionNegative binomial distributionContinuity correctionGeneral MedicinePoisson distributionBinomial distributionsymbols.namesakeUnivariate distributionCompound Poisson distributionStatisticssymbolsApplied mathematicsStatistics Probability and UncertaintyMathematicsCount dataBiometrical Journal
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Continuity correction of pearson’s chi-square test in 2x2 contingency tables: A mini-review on recent development

2022

The Pearson’s chi-square test represents a nonparametric test more used in Biomedicine and Social Sciences, but it introduces an error for 2 x 2 contingency tables, when a discrete probability distribution is approximated with a continuous distribution. The first author to introduce the continuity correction of Pearson’s chi-square test has been Yates F. (1934). Unfortunately, Yates’s correction may tend to overcorrect of p-value, this can implicate an overly conservative result. Therefore many authors have introduced variants Pearson’s chi-square statistic, as alternative continuity correction to Yates’s correction. The goal of this paper is to describe the most recent continuity correctio…

Contingency tablelcsh:R5-920statisticlcsh:Public aspects of medicine2x2 contingency tableNonparametric statistics2Continuity correctionlcsh:RA1-1270Pearson’s xSettore MED/42 - Igiene Generale E ApplicataYates’s continuity correctionMini reviewTest (assessment)Settore MED/01 - Statistica Medica2x2 contingency table Pearson’s xSerra’s continuity correctionContinuity correctionStatisticsChi-square testProbability distributionlcsh:Medicine (General)Pearson’s x2 statisticStatisticMathematics
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