BayesianHybridDesign (version 0.1.0)

power.binom.test: Power Calculation for the Exact Binomial Test

Description

Calculates the power of a one-sample exact binomial test via simulation. This is used to compare a treatment response rate against a fixed historical benchmark.

Usage

power.binom.test(
  n = 20,
  p = 0.5,
  p0 = 0.3,
  alpha = 0.05,
  alternative = c("two.sided", "greater", "less"),
  nsim = 1e+05,
  seed = 2025
)

Value

A numeric value representing the statistical power.

Arguments

n

Sample size of the experimental group.

p

Assumed true proportion (response rate) of the experimental treatment.

p0

Historical proportion (null hypothesis) used as a benchmark.

alpha

Type I error rate (significance level).

alternative

Character string specifying the alternative hypothesis, must be one of "two.sided" (default), "greater" or "less".

nsim

Number of simulated trials; defaults to 100,000 for high precision.

seed

Seed for reproducibility.

Examples

# \donttest{
power.binom.test(n=110, p=0.4, p0=0.128)
# }