Table 1 Overview of the different scenarios. In the scenarios with carry-over, the parameters for wash-in \(\tau\) and wash-out \(\gamma\) simulating the exponential decay are changed. \(w_{A,T}\) denotes an effect modifier of Activity on Treatment. Hence, the treatment effect depends on Activity whenever \(w_{A,T}\ne 0\)
No Activity interaction | Activity interaction | |
|---|---|---|
Scenario 1 | Scenario 3 | |
No carry-over | \(\gamma =\tau =1\) | \(\gamma =\tau =1\) |
\(w_{A,T} = 0\) | \(w_{A,T} \ne 0\) | |
Scenario 2 | Scenario 4 | |
With carry-over | \(\gamma _{1} = 3\); \(\tau _{1} = 6\) | \(\gamma _{1} = 3\); \(\tau _{1} = 6\) |
\(\gamma _{2} = 4\); \(\tau _{2}=5\) | \(\gamma _{2} = 4\); \(\tau _{2}=5\) | |
\(w_{A,T} = 0\) | \(w_{A,T} \ne 0\) |