Any recommendations regarding this issue ?
You need to start by learning about Censored Data, they are the most common type of data in medicine. Then go to Survival Analysis.
I hold PhD in Medical Statistics, It is so interesting!
Dr. Ahmed Samy El-agwany, you may look at the following book and accompany website that includes many resources for medical statistical analysis.
Petrie, A., & Sabin, C. (2013). Medical statistics at a glance. John Wiley & Sons.
http://www.medstatsaag.com/
You may consult Third Edition a book of Statistics in Medicine by Robert H. Riffenburgh
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