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Table 3 Description of variables used in simulation study 1

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

\(\sim N\left(0,{\upsigma}_{\upvarepsilon}^2\right)\)