Sample size for a squared multiple correlation confidence interval

Computes the sample size required to estimate a population squared multiple correlation in a random-x regression model with desired confidence interval precision. Set the planning value of the squared multiple correlation to 1/3 for a conservatively large sample size.

For more details, see Section 2.28 of Bonett (2021, Volume 2)

Usage

size.ci.rsqr(alpha, r2, s, w)

Arguments

alpha

alpha level for 1-alpha confidence

r2

planning value of squared multiple correlation

s

number of predictor variables in model

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.rsqr(.05, .3, 5, .2)
#>  Sample size
#>          227

# Should return:
# Sample size
#         227