Obtains the power given sample size or obtains the sample size given power for a group sequential design for equivalence in two-sample odds ratio.
getDesignOddsRatioEquiv(
beta = NA_real_,
n = NA_real_,
oddsRatioLower = NA_real_,
oddsRatioUpper = NA_real_,
pi1 = NA_real_,
pi2 = NA_real_,
allocationRatioPlanned = 1,
rounding = TRUE,
kMax = 1L,
informationRates = NA_real_,
criticalValues = NA_real_,
alpha = 0.05,
typeAlphaSpending = "sfOF",
parameterAlphaSpending = NA_real_,
userAlphaSpending = NA_real_,
spendingTime = NA_real_
)An S3 class designOddsRatioEquiv object with three
components:
overallResults: A data frame containing the following variables:
overallReject: The overall rejection probability.
alpha: The significance level for each of the two one-sided
tests. Defaults to 0.05.
attainedAlphaH10: The attained significance level under H10.
attainedAlphaH20: The attained significance level under H20.
kMax: The number of stages.
information: The maximum information.
expectedInformationH1: The expected information under H1.
expectedInformationH10: The expected information under H10.
expectedInformationH20: The expected information under H20.
numberOfSubjects: The maximum number of subjects.
expectedNumberOfSubjectsH1: The expected number of subjects
under H1.
expectedNumberOfSubjectsH10: The expected number of subjects
under H10.
expectedNumberOfSubjectsH20: The expected number of subjects
under H20.
oddsRatioLower: The lower equivalence limit of odds ratio.
oddsRatioUpper: The upper equivalence limit of odds ratio.
pi1: The assumed probability for the active treatment group.
pi2: The assumed probability for the control group.
oddsRatio: The odds ratio.
byStageResults: A data frame containing the following variables:
informationRates: The information rates.
efficacyBounds: The efficacy boundaries on the Z-scale for
each of the two one-sided tests.
rejectPerStage: The probability for efficacy stopping.
cumulativeRejection: The cumulative probability for efficacy
stopping.
cumulativeAlphaSpent: The cumulative alpha for each of
the two one-sided tests.
cumulativeAttainedAlphaH10: The cumulative alpha attained
under H10.
cumulativeAttainedAlphaH20: The cumulative alpha attained
under H20.
efficacyOddsRatioLower: The efficacy boundaries on the
odds ratio scale for the one-sided null hypothesis on the
lower equivalence limit.
efficacyOddsRatioUpper: The efficacy boundaries on the
odds ratio scale for the one-sided null hypothesis on the
upper equivalence limit.
efficacyP: The efficacy bounds on the p-value scale for
each of the two one-sided tests.
information: The cumulative information.
numberOfSubjects: The number of subjects.
settings: A list containing the following input parameters:
typeAlphaSpending: The type of alpha spending.
parameterAlphaSpending: The parameter value for alpha
spending.
userAlphaSpending: The user defined alpha spending.
spendingTime: The error spending time at each analysis.
allocationRatioPlanned: Allocation ratio for the active
treatment versus control.
rounding: Whether to round up sample size.
The type II error.
The total sample size.
The lower equivalence limit of odds ratio.
The upper equivalence limit of odds ratio.
The assumed probability for the active treatment group.
The assumed probability for the control group.
Allocation ratio for the active treatment versus control. Defaults to 1 for equal randomization.
Whether to round up sample size. Defaults to 1 for sample size rounding.
The maximum number of stages.
The information rates. Fixed prior to the trial.
Defaults to (1:kMax) / kMax if left unspecified.
Upper boundaries on the z-test statistic scale for stopping for efficacy.
The significance level for each of the two one-sided tests. Defaults to 0.05.
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.
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.
Kaifeng Lu, kaifenglu@gmail.com
(design1 <- getDesignOddsRatioEquiv(
beta = 0.2, n = NA, oddsRatioLower = 0.8,
oddsRatioUpper = 1.25, pi1 = 0.12, pi2 = 0.12,
kMax = 3, alpha = 0.05, typeAlphaSpending = "sfOF"))
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