Sample size for a paired-samples proportion ratio confidence interval

Computes the sample size required to estimate a ratio of population proportions with desired confidence interval precision in a paired-samples design. Set the phi correlation planning value to the smallest value within a plausible range for a conservatively large sample size.

For more details, see Section 3.12 of Bonett (2021, Volume 3)

Usage

size.ci.ratio.prop.ps(alpha, p1, p2, phi, r)

Arguments

alpha: alpha level for 1-alpha confidence
p1: planning value of proportion for measurement 1
p2: planning value of proportion for measurement 2
phi: planning value of phi correlation
r: desired upper to lower confidence interval endpoint ratio

Value

Returns the required sample size

References

Bonett DG (2021). Statistical Methods for Psychologists https://dgbonett.sites.ucsc.edu/.

Examples

size.ci.ratio.prop.ps(.05, .4, .2, .7, 2)
#>  Sample size
#>           67

# Should return:
# Sample size
#          67