Sample size for a paired-samples superiority or inferiority test of proportions

Computes the sample size required to perform a superiority or inferiority test for the difference in population proportions with desired power in a paired-samples design. For a superiority test, specify the upper limit (h) for the range of practical equivalence and specify values of p1 and p2 such that p1 - p2 > h. For an inferiority test, specify the lower limit (-h) for the range of practical equivalence and specify values of p1 and p2 such that p1 - p2 > -h. This function sets the effect size equal to p1 - p2. Set the phi correlation planning value to the smallest absolute value within a plausible range for a conservatively large sample size.

For more details, see Section 3.13 of Bonett (2021, Volume 3)

Usage

size.supinf.prop.ps(alpha, pow, p1, p2, phi, h)

Arguments

alpha: alpha level for hypothesis test
pow: desired power
p1: planning value of proportion for measurement 1
p2: planning value of proportion for measurement 2
phi: planning value of phi correlation
h: lower or upper limit for range of practical equivalence

Value

Returns the required sample size

References

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

Examples

size.supinf.prop.ps(.05, .9, .35, .20, .45, .05)
#>  Sample size
#>          227

# Should return:
# Sample size
#         227