As an alternative to the (blinded) RCT, the open label trial (OLTs) is an obvious choice since the presumptive purpose of said trial is to evaluate a novel therapy not readily accessible by the patient population. For the analysisNot every question is answered in analyses of RCT or OLTrandomized sets in RCTs, so similar principals to analyzing observational studies apply: control of causal factors, block randomization, and so on improve the efficiency and reduce the bias of such studies.
RCT pros: Clusters of correlated participants - so called "contamination" - are likely to be "broken up" in study randomization so that, without contamination, the dependence structure is similar within treatment assignment and methods for independent data estimate the correct standard errors anyway. Similarly, prognostic factors are likely to be balanced between study groups at the time of randomization.
RCT cons: Randomization does not completely address contamination: participants as a consequence of their indication and even participation in the study are likely to relate to one another and influence participation and outcomes as a result. Even with blocking, the distribution of prognostic factors is heterogeneous between arms. Those receiving the higher risk treatment and who are at higher risk at baseline are more likely to "die off" sooner, leading to a healthy risk set at future event times (survivor bias). This can lead to crossing hazards which is inefficient for log-rank tests.