DTEAssurance
DTEAssurance is an R package for implementing assurance methodology in the design of clinical trials with an anticipated delayed treatment effect (DTE).
It uses elicited prior distributions—via the SHELF framework—for the delay duration and post-delay hazard ratio, and simulates operating characteristics to inform trial design.
The methodology is based on the following papers:
Salsbury JA, Oakley JE, Julious SA, Hampson LV.
Assurance methods for designing a clinical trial with a delayed treatment effect.
Statistics in Medicine, 2024; 43(19): 3595–3612. doi:10.1002/sim.10136Salsbury JA, Oakley JE, Julious SA, Hampson LV.
Adaptive clinical trial design with delayed treatment effects using elicited prior distributions.
arXiv preprint, 2025; arXiv:2509.07602 [under revision at Pharmaceutical Statistics]
Assurance Methods for Delayed Treatment Effects
Shiny App
Launch the interactive app to explore assurance under delayed treatment effects:
DTEAssurance::assurance_shiny_app()Offline Example
You can also use the package offline via the main function:
DTEAssurance::calc_dte_assurance()This function requires the following arguments:
-
n_c: Number of patients in the control group -
n_t: Number of patients in the treatment group -
control_model: A named list specifying the control arm survival distribution -
effect_model: A named list specifying beliefs about the treatment effect -
censoring_model: A named list specifying the censoring mechanism -
recruitment_model: A named list specifying the recruitment process -
analysis_model: A named list specifying the statistical test and decision rule -
n_sims: Number of simulations to run
An example of this is shown:
control_model <- list(dist = "Exponential", parameter_mode = "Fixed", fixed_type = "Parameters", lambda = 0.1)
effect_model <- list(delay_SHELF = SHELF::fitdist(c(3, 4, 5), probs = c(0.25, 0.5, 0.75), lower = 0, upper = 10),
delay_dist = "gamma",
HR_SHELF = SHELF::fitdist(c(0.55, 0.6, 0.7), probs = c(0.25, 0.5, 0.75), lower = 0, upper = 1.5),
HR_dist = "gamma",
P_S = 1, P_DTE = 0)
censoring_model <- list(method = "Time", time = 12)
recruitment_model <- list(method = "power", period = 12, power = 1)
analysis_model <- list(method = "LRT", alpha = 0.025, alternative_hypothesis = "one.sided")
result <- calc_dte_assurance(n_c = 300, n_t = 300,
control_model = control_model,
effect_model = effect_model,
censoring_model = censoring_model,
recruitment_model = recruitment_model,
analysis_model = analysis_model,
n_sims = 100)
str(result)
#> List of 4
#> $ assurance : num 0.83
#> $ CI : num [1, 1:2] 0.742 0.898
#> $ duration : num 12
#> $ sample_size: num 600We can vary the sample sizes and plot the resulting output:
result <- calc_dte_assurance(n_c = seq(50, 500, by = 50),
n_t = seq(50, 500, by = 50),
control_model = control_model,
effect_model = effect_model,
censoring_model = censoring_model,
recruitment_model = recruitment_model,
analysis_model = analysis_model,
n_sims = 500)
Assurance for DTE - With Group Sequential Designs
Shiny App
Launch the interactive shiny app to explore assurance under delayed treatment effects using group sequential designs:
DTEAssurance::assurance_GSD_shiny_app()Offline Example
You can also use the package offline via the main function:
DTEAssurance::calc_dte_assurance_adaptive()This function requires the following arguments:
-
n_c: Number of patients in the control group -
n_t: Number of patients in the treatment group -
control_model: A named list specifying the control arm survival distribution -
effect_model: A named list specifying beliefs about the treatment effect -
recruitment_model: A named list specifying the recruitment process -
GSD_model: A named list specifying the group sequential design -
n_sims: Number of simulations to run
An example of this is shown:
control_model <- list(dist = "Exponential", parameter_mode = "Fixed", fixed_type = "Parameters", lambda = 0.08)
effect_model <- list(delay_SHELF = SHELF::fitdist(c(3, 4, 5), probs = c(0.25, 0.5, 0.75), lower = 0, upper = 10),
delay_dist = "gamma",
HR_SHELF = SHELF::fitdist(c(0.55, 0.6, 0.7), probs = c(0.25, 0.5, 0.75), lower = 0, upper = 1.5),
HR_dist = "gamma",
P_S = 0.9, P_DTE = 0.7)
recruitment_model <- list(method = "power", period = 12, power = 1)
GSD_model <- list(events = 450,
alpha_spending = c(0.0125, 0.025),
alpha_IF = c(0.75, 1),
futility_type = "none")
result <- calc_dte_assurance_adaptive(n_c = 300, n_t = 300,
control_model = control_model,
effect_model = effect_model,
recruitment_model = recruitment_model,
GSD_model = GSD_model,
n_sims = 500)
str(result)
#> 'data.frame': 500 obs. of 5 variables:
#> $ Trial : int 1 2 3 4 5 6 7 8 9 10 ...
#> $ Decision : chr "Stop for efficacy" "Stop for efficacy" "Successful at final" "Stop for efficacy" ...
#> $ StopTime : num 21.6 20.4 26.8 17.9 18.7 ...
#> $ SampleSize : int 600 600 600 600 600 600 600 600 600 600 ...
#> $ Final_Decision: chr "Successful" "Successful" "Successful" "Successful" ...
design_summary <- result %>%
summarise(
Assurance = mean(Decision %in% c("Stop for efficacy", "Successful at final")),
`Pr(Early Fut.)` = mean(Decision %in% c("Stop for futility")),
`Pr(Early Eff.)` = mean(Decision %in% c("Stop for efficacy")),
`Average Duration` = round(mean(StopTime, na.rm = TRUE), 2),
`Average Sample Size` = round(mean(SampleSize, na.rm = TRUE), 2)
)
design_summary
#> Assurance Pr(Early Fut.) Pr(Early Eff.) Average Duration Average Sample Size
#> 1 0.7 0 0.528 22.38 600