Sample size for a paired-samples mean difference confidence interval

Computes the sample size required to estimate a difference in population means with desired confidence interval precision in a paired-samples design. Set the Pearson correlation planning value to the smallest value within a plausible range for a conservatively large sample size. Set the variance planning value to the largest value within a plausible range for a conservatively large sample size.

For more details, see Section 4.26 of Bonett (2021, Volume 1)

Usage

size.ci.mean.ps(alpha, var, cor, w)

Arguments

alpha

alpha level for 1-alpha confidence

var

planning value of average variance of the two measurements

cor

planning value of correlation between measurements

w

desired confidence interval width

Value

Returns the required sample size

References

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

Examples

size.ci.mean.ps(.05, 5.0, .5, 2.0)
#>  Sample size
#>           22

# Should return:
# Sample size
#          22