2018
Improving estimation and prediction in linear regression incorporating external information from an established reduced model
Cheng W, Taylor J, Vokonas P, Park S, Mukherjee B. Improving estimation and prediction in linear regression incorporating external information from an established reduced model. Statistics In Medicine 2018, 37: 1515-1530. PMID: 29365342, PMCID: PMC5889759, DOI: 10.1002/sim.7600.Peer-Reviewed Original ResearchConceptsOutcome variable YEfficiency of estimationApproximate Bayesian inferenceBayes solutionVariable YNonlinear constraintsInferential frameworkVariable BE(Y|XImprove inferenceBayesian inferenceEffective computational methodParameter spaceReduced modelImproved estimatesLinear regression modelsTransformation approachStandard errorDunsonInferenceEstimationRegression modelsProblemCovariatesSpace
2009
Bayesian inference for the stereotype regression model: Application to a case–control study of prostate cancer
Ahn J, Mukherjee B, Banerjee M, Cooney K. Bayesian inference for the stereotype regression model: Application to a case–control study of prostate cancer. Statistics In Medicine 2009, 28: 3139-3157. PMID: 19731262, PMCID: PMC3103066, DOI: 10.1002/sim.3693.Peer-Reviewed Original ResearchConceptsStereotype regression modelProportional odds modelLog-odds-ratioStereotype modelMaximum likelihood estimationOdds modelBayesian inferenceAdjacent category logit modelCase-control study of prostate cancerLack of identifiabilityModel comparison procedureLikelihood estimationProduct representationValid inferenceFrequentist approachUnordered outcomesCategorical responsesOrdered outcomesCategory-specific scoresOdd structuresComparison procedureCategorical outcomesLatent variablesInferenceCase-control study