I am currently trying to fit a survival analysis model. After reading through several books, I have still not come across the theoretical implications of implementing survival analysis on data that only contains deaths.
For example, usually some data, such as the one described here:
has a censoring variable that assigns the value 1 if the patient died during the study, and 0 if the patient didn't die during the duration of the study.
However, I have data that records everyone as having died. The other people who survived indefinitely were not included in the dataset and I cannot obtain it as it is now completely lost. In this case, would it theoretically make sense to put a censoring variable of 1 for every single observation? Thank you!