size.supinf.prop.ps: Sample size for a paired-samples superiority or inferiority...

In statpsych: Statistical Methods for Psychologists

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

Description

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

\insertRef

Bonett2021statpsych

Examples

size.supinf.prop.ps(.05, .9, .35, .20, .45, .05)

# Should return:
# Sample size
#         227

statpsych documentation built on Jan. 13, 2026, 1:07 a.m.