lrstat (version 0.3.3)

samplesizeOneRateExact: Sample Size for Poisson One-Sample Exact Test

Description

Obtains the sample size for Poisson one-sample exact test.

Usage

samplesizeOneRateExact(
  beta = 0.2,
  lambdaH0 = NA_real_,
  lambda = NA_real_,
  D = 1,
  alpha = 0.025,
  max_n_search = 1000L,
  window = 10L
)

Value

A data frame containing the critical value of the number of events for rejecting the null hypothesis, the attained type I error, the power for the exact test, the sample size, the Poisson rates under the null and alternative hypotheses, the average exposure, and the direction of the alternative.

Arguments

beta

The type II error.

lambdaH0

The Poisson rate under the null hypothesis.

lambda

The Poisson rate under the alternative hypothesis.

D

The average exposure per subject.

alpha

The one-sided significance level. Defaults to 0.025.

max_n_search

The maximum sample size to search up to. If no sample size up to this value satisfies the windowed power criterion, an error is thrown.

window

The number of consecutive sample sizes that must all satisfy the power criterion to confirm the found sample size. This is to mitigate non-monotonicity of power in sample size for the exact test.

Author

Kaifeng Lu,

Examples

samplesizeOneRateExact(beta = 0.2, lambdaH0 = 0.2, lambda = 0.3,
                       D = 1, alpha = 0.05)