WITHDRAWN - A Bayesian Modeling of Monotonic Ordinal Responses

• Author(s): Rui Shen and Siva Sivaganesan
• Keywords: Bayesian ; multinomial ; monotonic ; ordinal ; Metropolis-Hasting ; DIC

Abstract

Bayesian approach was used to model multinomial monotonic nondecreasing ordinal outcomes. Responses without and with misclassification were considered. Transition probability with possible dependence on covariates and misclassification probability were modeled by multinomial logit models. Metropolis-Hasting algorithm was implemented to generate samples from posterior distribution, and then to get posterior estimates, standard deviations and confidence intervals. Models were tested by simulated data, posterior estimates were compared to the original values used to simulate data, and Deviance Information Criterion (DIC) was calculated and compared for goodness of fit.