Detectable Event Rate with Specified Power and Sample Size

Estimates the minimum true proportion of events needed to detect at least one event, given a sample size and desired statistical power.

Usage

power_single_rate(subjects, power)

Arguments

subjects: Integer or vector of integers. Sample size(s).
power: Numeric or vector of numerics. Desired power(s), between 0 and 1.

Value

A matrix of class power_single_rate with columns:

n: Sample size
power: Requested power
proportion: Minimum detectable event rate to observe at least one event

Examples

power_single_rate(30, 0.9)
#> A study with 30 participants would have 90% power to detect at least one event
#> if the true event rate is at least 7.39 per 100 participants.
power_single_rate(c(30, 50, 100), 0.9)
#> According to the number of participants, the table shows the power
#> to detect at least one event, given a true event rate equal to or higher than:
#> 
#> | Subjects | Power |                Proportion |
#> | -------- | ----- | ------------------------- |
#> |       30 |   90% | 7.39 per 100 participants |
#> |       50 |   90% | 4.50 per 100 participants |
#> |      100 |   90% | 2.28 per 100 participants |