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
2007
Analysis of matched case–control data with multiple ordered disease states: possible choices and comparisons
Mukherjee B, Liu I, Sinha S. Analysis of matched case–control data with multiple ordered disease states: possible choices and comparisons. Statistics In Medicine 2007, 26: 3240-3257. PMID: 17206600, DOI: 10.1002/sim.2790.Peer-Reviewed Original ResearchConceptsConditional logistic regressionStratum-specific nuisance parametersCase-control dataAdjacent-category logit modelCase-control studyOrdered categorical dataConditional-likelihood approachLikelihood-based approachNuisance parametersProportional-odds modelCumulative logitsSimulation studyAnalyse such dataMantel-Haenszel approachCumulative logit modelNatural orderPotential risk factorsStages of cancerReference categoryCategorical dataLogistic regressionOrdinal natureEffect of potential risk factorsLow birthweightRisk factors