Obtains the required number of events given the hazard ratios under the null and alternative hypotheses for a group sequential design.
getNeventsFromHazardRatio(
beta = 0.2,
kMax = 1L,
informationRates = NA_real_,
efficacyStopping = NA_integer_,
futilityStopping = NA_integer_,
criticalValues = NA_real_,
alpha = 0.025,
typeAlphaSpending = "sfOF",
parameterAlphaSpending = NA_real_,
userAlphaSpending = NA_real_,
futilityBounds = NA_real_,
typeBetaSpending = "none",
parameterBetaSpending = NA_real_,
userBetaSpending = NA_real_,
spendingTime = NA_real_,
hazardRatioH0 = 1,
hazardRatio = NA_real_,
allocationRatioPlanned = 1,
rounding = 1L
)The required number of events.
Type II error. Defaults to 0.2.
The maximum number of stages.
The information rates in terms of number of
events. Fixed prior to the trial. Defaults to (1:kMax) / kMax
if left unspecified.
Indicators of whether efficacy stopping is allowed at each stage. Defaults to true if left unspecified.
Indicators of whether futility stopping is allowed at each stage. Defaults to true if left unspecified.
Upper boundaries on the z-test statistic scale for stopping for efficacy.
The significance level. Defaults to 0.025.
The type of alpha spending. One of the following: "OF" for O'Brien-Fleming boundaries, "P" for Pocock boundaries, "WT" for Wang & Tsiatis boundaries, "sfOF" for O'Brien-Fleming type spending function, "sfP" for Pocock type spending function, "sfKD" for Kim & DeMets spending function, "sfHSD" for Hwang, Shi & DeCani spending function, "user" for user defined spending, and "none" for no early efficacy stopping. Defaults to "sfOF".
The parameter value for the alpha spending. Corresponds to Delta for "WT", rho for "sfKD", and gamma for "sfHSD".
The user defined alpha spending. Cumulative alpha spent up to each stage.
Lower boundaries on the z-test statistic scale
for stopping for futility at stages 1, ..., kMax-1. Defaults to
rep(-6, kMax-1) if left unspecified. The futility bounds are
non-binding for the calculation of critical values.
The type of beta spending. One of the following: "sfOF" for O'Brien-Fleming type spending function, "sfP" for Pocock type spending function, "sfKD" for Kim & DeMets spending function, "sfHSD" for Hwang, Shi & DeCani spending function, "user" for user defined spending, and "none" for no early futility stopping. Defaults to "none".
The parameter value for the beta spending. Corresponds to rho for "sfKD", and gamma for "sfHSD".
The user defined beta spending. Cumulative beta spent up to each stage.
A vector of length kMax for the error spending
time at each analysis. Defaults to missing, in which case, it is the
same as informationRates.
Hazard ratio under the null hypothesis for the active treatment versus control. Defaults to 1 for superiority test.
Hazard ratio under the alternative hypothesis for the active treatment versus control.
Allocation ratio for the active treatment versus control. Defaults to 1 for equal randomization.
Whether to round up the number of events. Defaults to 1 for rounding.
Kaifeng Lu, kaifenglu@gmail.com
getNeventsFromHazardRatio(
beta = 0.2, kMax = 2,
informationRates = c(0.5,1),
alpha = 0.025, typeAlphaSpending = "sfOF",
typeBetaSpending = "sfP",
hazardRatio = 0.673)
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