Rayleigh Test for Non-uniformity

Tests whether a sample of circular data is uniformly distributed. This is a wrapper around the resultant length statistic.

Usage

circ_rayleigh(alpha, w = NULL)

Arguments

alpha

numeric vector of angles in radians.

w

optional weights (same length as alpha).

Value

list with:

pval

p-value of the Rayleigh test

z

Rayleigh's Z statistic

References

Zar JH (2010). Biostatistical Analysis. 5th ed. Prentice Hall.

Examples

# Uniform data - expect high p-value
uniform_angles <- runif(100, 0, 2*pi)
circ_rayleigh(uniform_angles)
#> $pval
#> [1] 0.1835458
#> 
#> $z
#> [1] 1.696592
#> 

# Concentrated data - expect low p-value
concentrated <- rnorm(100, mean = 0, sd = 0.3)
circ_rayleigh(concentrated)
#> $pval
#> [1] 3.258676e-38
#> 
#> $z
#> [1] 91.50884
#>