Alignment index for two angular variables

Computes |mean(exp(i * (phi - theta)))|, a scalar summary of circular alignment between two angular variables.

Usage

alignment_index(theta, phi)

Arguments

theta

First angle in radians.

phi

Second angle in radians.

Value

A numeric scalar between 0 and 1.

See also

Other directional dependence indicators: conditional_variation_index(), local_circ_moment()

Examples

dat <- simulate_toroidal(n = 80, scenario = "diagonal", seed = 1)
alignment_index(dat$theta, dat$phi)
#> [1] 0.9545508