hce (version 0.7.0)

minWO: Minimum detectable or WO for alternative hypothesis for given power (no ties)

Description

Minimum detectable or WO for alternative hypothesis for given power (no ties)

Usage

minWO(N, power = 0.5, SD = NULL, k = 0.5, alpha = 0.05, WOnull = 1, digits = 2)

Value

a data frame containing the calculated WO with input values.

Arguments

N

a numeric vector of sample size values (two arms combined).

power

the given power. The default is 0.5 corresponding to the minimum detectable win odds. A numeric vector of length 1.

SD

assumed standard deviation of the win proportion. By default uses the conservative SD. A numeric vector of length 1.

k

proportion of active group in the overall sample size. Default is 0.5 (balanced randomization). A numeric vector of length 1.

alpha

the significance level for the 2-sided test. Default is 0.05. A numeric vector of length 1.

WOnull

the win odds value of the null hypothesis (default is 1). A numeric vector of length 1.

digits

precision to use for reporting calculated win odds.

References

Gasparyan SB et al. (2021) "Power and sample size calculation for the win odds test: application to an ordinal endpoint in COVID-19 trials." Journal of Biopharmaceutical Statistics 31.6: 765-787. doi:10.1080/10543406.2021.1968893

See Also

powerWO(), sizeWO() for WO power and sample size calculation.

Examples

minWO(N = 100, digits = 5)
minWO(N = 1200, power = 0.9, k = 0.75)
# Compare the minimum detectable win odds from shifted alternatives to max and ordered alternatives
WO <- minWO(N = 1200, k = 0.5, power = 0.67, digits = 7)$WO
powerWO(N = 1200, WO = WO, k = 0.5, alternative = "shift")
powerWO(N = 1200, WO = WO, k = 0.5, alternative = "ordered")
powerWO(N = 1200, WO = WO, k = 0.5, alternative = "max")