Search results for "Empirical Bayes method"

showing 3 items of 3 documents

Empirical Bayes improves assessments of diversity and similarity when overdispersion prevails in taxonomic counts with no covariates

2019

Abstract The assessment of diversity and similarity is relevant in monitoring the status of ecosystems. The respective indicators are based on the taxonomic composition of biological communities of interest, currently estimated through the proportions computed from sampling multivariate counts. In this work we present a novel method to estimate the taxonomic composition able to work even with a single sample and no covariates, when data are affected by overdispersion. The presence of overdispersion in taxonomic counts may be the result of significant environmental factors which are often unobservable but influence communities. Following the empirical Bayes approach, we combine a Bayesian mo…

0106 biological sciencesMultivariate statisticsBiological dataEmpirical Bayesian estimationEcologyTaxonomic compositionGeneral Decision SciencesEnvironmental monitoring010501 environmental sciencesBayesian inference010603 evolutionary biology01 natural sciencesBiodiversity assessment; Dirichlet-Multinomial model; Empirical Bayesian estimation; Environmental monitoring; Taxonomic compositionMarginal likelihoodBayes' theoremOverdispersionStatisticsTaxonomic rankDirichlet-Multinomial modelBiodiversity assessmentEcology Evolution Behavior and Systematics0105 earth and related environmental sciencesEmpirical Bayes methodMathematics
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Improving Reliability of Road Safety Estimates Based on High Correlated Accident Counts

2007

Calibrating a safety performance function (SPF) with many years of accident data creates a temporal correlation that traditional model calibration procedures cannot deal with. It is well known that generalized estimating equations (GEE) models are able to incorporate trends into accident data and thus overcome difficulties in accounting for correlation; the usual application of GEEs to safety analysis uses robust (or sandwich) estimates of regression coefficients under the independence hypothesis for the working correlation matrix. This practice is justified by the robustness of the GEE procedure against misspecification of the response correlation structure. Nevertheless, with this method…

Robustness (computer science)Covariance matrixComputer scienceMechanical EngineeringLinear regressionStatisticsEconometricsroad safety high correlated data reliabilityGeneralized estimating equationIndependence (probability theory)Reliability (statistics)Civil and Structural EngineeringEmpirical Bayes methodTransportation Research Record: Journal of the Transportation Research Board
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A comparison of some simple methods to identify geographical areas with excess incidence of a rare disease such as childhood leukaemia

1999

SUMMARY Six statistics are compared in a simulation study for their ability to identify geographical areas with a known excess incidence of a rare disease. The statistics are the standardized incidence ratio, the empirical Bayes method of Clayton and Kaldor, Poisson probability, a statistic based on the B statistics are compared for the proportion of true high-risk areas identi"ed in the top 1 per cent and 10 per cent of ranked areas. One of the PW statistics performed consistently well under all circumstances, although the results for the BT statistic were marginally better when only the top 1 per cent of ranked areas was considered. The standardized incidence ratio performed consistently …

Statistics and ProbabilityEpidemiologyIncidence (epidemiology)Poisson distributionChildhood leukaemiasymbols.namesakeGeographyStandardized mortality ratioStatisticssymbolsRisk factorStatisticDemographyEmpirical Bayes methodRare diseaseStatistics in Medicine
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