Sample size for an interval test of a Pearson or partial correlation

Computes the sample size required to perform an interval test for a population Pearson or a partial correlation with desired power where the interval midpoint is equal to zero. This function can be used to plan a study where the goal is to show that the population correlation is small. Set s = 0 for a Pearson correlation. The correlation planning value must be a value within the hypothesized interval.

For more details, see Section 1.25 of Bonett (2021, Volume 2)

Usage

size.interval.cor(alpha, pow, cor, s, h)

Arguments

alpha

alpha level for hypothesis test

pow

desired power

cor

planning value of correlation

s

number of control variables

h

upper limit of hypothesized interval

Value

Returns the required sample size

References

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

Examples

size.interval.cor(.05, .9, .1, 0, .3)
#>  Sample size
#>          251

# Should return:
# Sample size
#         251