| Abstract | In this thesis the analysis of well-known model in survival study that is Cox
proportional hazard regression model via prison Partly Interval Censored (PIC) data is
used. The maximum likelihood estimate was considered to obtain the estimated of the
model parameter and the survival function and then the results were compared. In this
model several imputation techniques are used that is; left point, mean and median. In
contrast, the data needed to be modified to PIC data for the proposed of the researcher’s
needs. Likewise, simulation data was generated where the failure rates were taken based
on prison PIC data was also used to further compare these three imputation methods of
estimation.
From the prison data set and simulation study for this particular case, we can
conclude that the Cox model proved to be feasible and works well in terms of estimation
the survival function, likelihood ratio test and their P-value. In additional to that, based
on imputation techniques, the mean and median showed better results with respect to
estimate of the survival function. |
