From: Independence estimators for re-randomisation trials in multi-episode settings: a simulation study
Variable | Description | Method of generation |
---|---|---|
Yij | Continuous outcome for patient i in episode j | Generated based on model [5] |
Zij | Treatment allocation (0 = control, 1 = intervention) for patient i in episode j | Bernoulli random variable with probability of 0.5 (implying simple randomisation |
\({X}_{e{p}_{ij}}\) | Indicator for episode 2 | NA |
\({X}_{M_i}\) | Indicator for number of episodes patient experiences (0 = 1 episode, 1 = 2 episodes); equivalent to Mi | NA |
Zi, j − 1 | Treatment allocation for patient i in episode j − 1; equal to 0 for episode 1 | NA |
\({X}_{P{L}_i}\) | Unobserved patient-level binary covariate, which is constant across episodes | Bernoulli random variable with probability of 0.5 |
\({X}_{E{L}_{ij}}\) | Unobserved episode-level binary covariate, which can vary across episodes | Bernoulli random variable with probability of 0.5 |
μi | Random intercept for patient i | \(\sim N\left(0,{\upsigma}_{\upmu}^2\right)\) |
εij | Random error term for episode j in patient i | \(\sim N\left(0,{\upsigma}_{\upvarepsilon}^2\right)\) |