Estimating the Complier Average Causal Effect via a latent class approach using gsem

In randomized control trials (RCT), intention-to-treat (ITT) analysis is customarily used to estimate the effect of the trial; however, in the presence of noncompliance, this can often lead to biased estimates because ITT completely ignores varying levels of actual treatment received. This is a known issue that can be overcome by adopting the complier average causal effect (CACE) approach, which estimates the effect the trial had on the individuals who complied with the protocol. When compliance is unobserved in the control group, the CACE estimate can be obtained via a latent class specification using the gsem command.