Variable description | Generating models and notation |
---|---|
Number of simulated data sets | N sim |
Sample size each data set | N obs |
Treatment allocated | Z i  = 0/1 for standard of care/intervention |
Treatment received | X i  = 0/1 for standard of care/intervention |
Baseline hazard function for time until CVD event | \( {h}_0\left({t}_c\right)={\gamma}_c{\lambda}_c^{\gamma_c}{t}_c^{\gamma_c-1},\kern0.5em {\lambda}_c=36,\kern0.62em {\gamma}_c=1.2 \) |
Baseline hazard function for time mortality | \( {h}_0\left({t}_m\right)={\gamma}_m{\lambda}_m^{\gamma_m},\kern0.5em {\lambda}_m=55,\kern0.5em {\gamma}_c=1.2 \) |
Individual random effects | ε i  ~ N(0, σ 2), σ = 0.7 |
Intervention effect | β = − 0.32 |
Individual hazard function for time until CVD event | \( h\left({t}_{i c}\right) = {h}_0\left({t}_c\right)\ {e}^{\left(\beta {X}_i+{\varepsilon}_i\right)} \) |
Individual hazard function for time until mortality | \( h\ \left({t}_{i m}\right)={h}_0\left({t}_m\right)\ {e}^{\left({\varepsilon}_i\right)} \) |
Probability of a patient refusing intervention if offered and average patient refusal | \( \begin{array}{l}{p}_i, p={\varSigma}_i{p}_i/{N}_{obs}\\ {}\end{array} \) |
Probability of clinician refusing to offer the intervention to the patient and average clinician refusal | \( \begin{array}{l}{q}_i, q={\varSigma}_i{q}_i/{N}_{obs}\\ {}\end{array} \) |
Trial follow-up time in years | T max = 3 |
Censoring indicator | C i  = I(T ic  ≥ min(T im , T max  )) |
Observed outcome | Y i  = min(T ic , T im , T max ) |
Observed trial data | {Y i , C i , Z i , X i } |