The Proposed Method: Extension of rank preserving structural failure times models (RPSFT) to two-dimensional
EVENTS, EVENT
Robins and Tsiatis (1991) developed the RPSFT method to estimate the causal treatment effect in the presence of noncompliance. Their method considers only a single cause of failure and is used when patients discontinue treatment according to the protocol but receive a treatment which they are not allocated toIn this paper, RPSFT method was applied based on CSH approach and adjusted in the presence of CR. This means, the RPSFT method was extended for two different events, the event of interest and the competing event.In RPSFT, random variable Here, To extend the RPSFT model and GE algorithm for CR, Here,Namely, when The In other words, for a given parameter The estimations for As in the one-dimensional RPSFT, a new censoring time in two-dimensional Therefore, the adjusted observed survival time for Based on adjusting for switching from standard to experimental treatment, the adjusted variable of censoring is expressed as follows:For patients who experienced the event of interest, For calculating the hazard ratio (HR), the observed survival time (