{"id":673,"date":"2017-09-28T08:48:57","date_gmt":"2017-09-28T08:48:57","guid":{"rendered":"http:\/\/jsr.isrt.ac.bd\/?post_type=article&p=673"},"modified":"2017-09-28T08:49:07","modified_gmt":"2017-09-28T08:49:07","slug":"approximate-method-frailty-model-presence-immune-proportion","status":"publish","type":"article","link":"http:\/\/jsr.isrt.ac.bd\/article\/approximate-method-frailty-model-presence-immune-proportion\/","title":{"rendered":"An approximate method for a frailty model in the presence of an immune proportion"},"content":{"rendered":"
This article considers an extension of the existing survival model with an immune
\nproportion known as a latent data (LD) model. Random effects are introduced
\nin this LD model. A generalized linear mixed model using a penalized quasi
\nlikelihood approach for the parameter estimates is proposed. The model enables
\nthe prediction of the random effect and retains the proportional hazard property
\nof the LD model. Application of the method is carried out on two real data
\nsets. A simulation study is conducted to evaluate the model\u2019s performance. Two
\ndifferent types of censoring are considered. The results show that the estimates
\nhave relatively small bias in all cases and the method works equally well in both
\nthe random and fixed censoring cases.<\/p>\n