Sample size or power for the test of a correlation

n = ((z_(1 - alpha/2) + z_(1 - beta)) / atanh(r))^2 + 3, or power = pnorm(sqrt(n - 3) atanh(r) - z_(1 - alpha/2)) (Hedderich, Sachs & Reynarowych 2023, eqs 7.404-7.405). Give exactly one of power and n.

Usage

corss(r, alpha = 0.05, power = NULL, n = NULL)

Arguments

r

Correlation to detect.

alpha

Two-sided level.

power

Desired power.

n

Sample size.

Value

Named list: n (rounded up) and n_exact, or power; r, alpha.

References

Hedderich, Sachs & Reynarowych (2023), eq (7.405), Table 7.83.

Examples

corss(0.6, power = 0.9)$n
#> [1] 25