2013
Bayesian Analysis of Time-Series Data under Case-Crossover Designs: Posterior Equivalence and Inference
Li S, Mukherjee B, Batterman S, Ghosh M. Bayesian Analysis of Time-Series Data under Case-Crossover Designs: Posterior Equivalence and Inference. Biometrics 2013, 69: 925-936. PMID: 24289144, PMCID: PMC4108592, DOI: 10.1111/biom.12102.Peer-Reviewed Original ResearchConceptsSemi-parametric Bayesian approachLikelihood-based approachRandom nuisance parametersTime series analysisFrequentist literatureNuisance parametersDirichlet processInferential issuesConditional likelihoodPosterior distributionRisk functionTime seriesBayesian workFrequentist approachCase-crossover designSimulation studyRestrictive assumptionsBayesian approachTime Series DataLikelihood formulationBayesian methodsEquivalent resultsBayesian analysisCase-crossoverBayesian framework
2008
Fitting stratified proportional odds models by amalgamating conditional likelihoods
Mukherjee B, Ahn J, Liu I, Rathouz P, Sánchez B. Fitting stratified proportional odds models by amalgamating conditional likelihoods. Statistics In Medicine 2008, 27: 4950-4971. PMID: 18618428, PMCID: PMC3085191, DOI: 10.1002/sim.3325.Peer-Reviewed Original ResearchConceptsNuisance parametersConditional likelihoodProportional odds modelStratum-specific nuisance parametersCumulative logit modelStratum-specific interceptsGeneral regression frameworkMultiple ordered categoriesOdds modelContinuous covariatesSandwich estimatorData examplesBinary exposureRobust sandwich estimatorLikelihood principleProportional oddsStandard softwareRegression frameworkNatural choiceOutcome modelEstimationClassical methodsStratified dataLogistic regression modelsRandom-effects model
2004
Bayesian Semiparametric Modeling for Matched Case–Control Studies with Multiple Disease States
Sinha S, Mukherjee B, Ghosh M. Bayesian Semiparametric Modeling for Matched Case–Control Studies with Multiple Disease States. Biometrics 2004, 60: 41-49. PMID: 15032772, DOI: 10.1111/j.0006-341x.2004.00169.x.Peer-Reviewed Original ResearchConceptsSemiparametric Bayesian frameworkBayesian semiparametric modelSemiparametric modelDirichlet processStratum effectsConditional likelihoodProbability of disease developmentBayesian approachNumerical integration schemeBayesian frameworkSample sizeDirichletActual estimationMLEMissingnessMarkovIntegration schemeExposure distributionBayesianEstimationRegression modelsMultiple disease statesDistributionProbabilityDisease states