A Comparison of Different Bayesian Models for Leukemia Data
Maria Rafique, Sajid Ali, Ismail Shah, Bilal Ashraf · American Journal of Mathematical and Management Sciences · 2021
Maria Rafiquea, Sajid Alia* , Ismail Shaha & Bilal Ashrafba Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistanb Student Services Center, University of Gujarat, Gujarat, PakistanSupplemental data for this article can be accessed online at https://doi.org/10.1080/01966324.2021.1957730.CONTACT Sajid Ali [email protected] Department of Statistics, Quaid-i-Azam University, Islamabad 45320, Pakistan.AbstractDifferent probability models are used to model survival data. However, it is important to know which model describe best the data because if the assumptions for parametric methods hold, the resulting estimates have smaller standard errors and are easier to interpret and helps in predictions. This article presents the Bayesian censored data modeling assuming Gumbel, double exponential, exponentially modified Gaussian, Weibull, and lognormal distributions as sampling models. In particular, a historical Leukemia data set is used to show the comparison among different models. Markov Chain Monte Carlo (MCMC) methods are used to compute the posterior summaries. Different model selection criteria, like, Akaike Information Criterion (AIC), Deviance Information Criterion (DIC), Leave-one-out Cross-Validation (LOOCV), and Watanabe-Akaike Information Criterion (WAIC) are used for model selection. It is observed from the comparative study that the lognormal model has the minimum values of different model selection criteria and considered to be the best for this Leukemia data.