Sample size for a Pearson or partial correlation confidence interval

Computes the sample size required to estimate a population Pearson or partial correlation with desired confidence interval precision. Set s = 0 for a Pearson correlation. Set the correlation planning value to the smallest absolute value within a plausible range for a conservatively large sample size.

For more details, see Section 1.24 of Bonett (2021, Volume 2)

Usage

size.ci.cor(alpha, cor, s, w)

Arguments

alpha

alpha level for 1-alpha confidence

cor

planning value of correlation

s

number of control variables

w

desired confidence interval width

Value

Returns the required sample size

References

Bonett DG, Wright TA (2000). “Sample size requirements for estimating Pearson, Kendall and Spearman correlations.” Psychometrika, 65(1), 23–28. ISSN 0033-3123, doi:10.1007/BF02294183 .

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

Examples

size.ci.cor(.05, .3, 0, .2)
#>  Sample size
#>          320

# Should return:
# Sample size
#         320