Comparison of Frailty Models for Acute Leukemia Data under Gompertz Baseline Distribution |
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Authors: | David D Hanagal Richa Sharma |
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Institution: | 1. Department of Statistics, University of Pune, Pune, Indiadavid_hanagal@yahoo.co.in;3. Department of Statistics, University of Pune, Pune, India |
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Abstract: | In this article, we consider two different shared frailty regression models under the assumption of Gompertz as baseline distribution. Mostly assumption of gamma distribution is considered for frailty distribution. To compare the results with gamma frailty model, we consider the inverse Gaussian shared frailty model also. We compare these two models to a real life bivariate survival data set of acute leukemia remission times (Freireich et al., 1963 Freireich, E.J., Gehan, E., Frei, E., Schroeder, L.R., Wolman, I.J., Anbari, R., Burgert, E.O., Mills, S.D., Pinkel, D., Selawry, O.S., Moon, J.H., Gendel, B.R., Spurr, C.L., Storrs, R., Haurani, F., Hoogstraten, B., Lee, S. (1963). The effect of 6-mercaptopurine on the duration of steroid-induced remissions in acute leukemia: a model for evaluation of other potentially useful therapy. Blood 21:699–716.Web of Science ®] , Google Scholar]). Analysis is performed using Markov Chain Monte Carlo methods. Model comparison is made using Bayesian model selection criterion and a well-fitted model is suggested for the acute leukemia data. |
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Keywords: | Bayesian estimation Gamma distribution Gompertz distribution Inverse Gaussian distribution Markov Chain Monte Carlo (MCMC) Model selection criterion Predictive density Shared frailty |
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