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PowerTOST (version 1.2-09)

power.NTIDFDA: (Empirical) Power for BE decision via FDA method for NTID's

Description

This function performs the power calculation of the BE decision via the FDA method for narrow therapeutic index drugs (NTID's) by simulations. The study design could be the full replicate design 2x2x4 with 4-periods or the 2x2x4 replicate design with sequences TRT|RTR.

Usage

power.NTIDFDA(alpha = 0.05, theta1, theta2, theta0, CV, n, design=c("2x2x4", "2x2x3"), 
              nsims = 1e+05, details = FALSE, setseed = TRUE)

Arguments

alpha
Type I error probability, significance level. Conventionally mostly set to 0.05.
theta1
Conventional lower ABE limit to be applied in the FDA procedure. Defaults to 0.8 if not given explicitly.
theta2
Conventional upper ABE limit to be applied in the FDA procedure. Defaults to 1.25 if not given explicitly.
theta0
'True' or assumed bioequivalence ratio. Attention! Defaults here to 0.975 if not given explicitly. The value was chosen nearer to 1 because the potency (contents) settings for NTID's are tightened by the FDA.
CV
Coefficient(s) of variation as ratio. If length(CV) = 1 the same CV is assumed for Test and Reference. If length(CV) = 2 the CV for Test must be given in CV[1] and for Reference in CV[2].
n
Number of subjects under study. May be given as vector. In that case it is assumed that n contains the number of subjects per sequence groups. Attention! In case of the 2x2x3 (TRT|RTR) design the order of n's important if given as vector. n[1] is for s
design
Design of the study to be planned. 2x2x4 is the full replicate design with 2 sequences and 4 periods. 2x2x3 is the 3-period replicate design with sequences TRT|RTR. Defaults to design="2x2x4".
nsims
Number of simulations to be performed to obtain the empirical power. Defaults to 100 000 = 1e+5.
details
If set to TRUE the computational time is shown as well as the components for the BE decision. p(BE-ABE) is the simulated probability for the conventional ABE test. p(BE-SABEc) is the probability that the 95% CI of the ABE criterion is
setseed
Simulations are dependent on the starting point of the (pseudo) random number generator. To avoid differences in power for different runs a set.seed(123456) is issued if setseed=TRUE, the default.

Value

  • Returns the value of the empirical power.

Warning

The results for the design "2x2x3" are to be considered as experimental since at present not thorougly tested.

Details

The linearized scaled ABE criterion is calculated according to the SAS code given in the FDA Warfarine guidance. For deciding BE the study must pass that criterion, the conventional ABE test and additional the test that the ratio of sWT/sWR is < 2.5. The simulations are done via the distributional properties of the statistical quantities necessary for deciding BE based on these method. Details can be found in a document "Implementation_scaledABE_sims" located in the doc subdirectory of the package.

References

FDA "Draft Guidance on Warfarin Sodium" Recommended Dec 2012 http://www.fda.gov/downloads/Drugs/GuidanceComplianceRegulatoryInformation/Guidances/UCM201283.pdf

See Also

sampleN.NTIDFDA

Examples

Run this code
# using the defaults:
# GMR=0.975, theta1=0.8, theta2=1.25, 100 000 sims
# and a CV of 0.1 (=10\%) with 12 subjects, balanced
power.NTIDFDA(CV=0.1, n=12)
# should give a power of 0.62553

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