Transform kappa of the von Mises distribution to the circular standard deviation

This function transforms the precision parameter kappa of the von Mises distribution to the circular standard deviation. Adapted from Matlab code by Paul Bays (https://www.paulbays.com/code.php)

Usage

k2sd(K)

Arguments

K

numeric. A vector of kappa values.

Value

A vector of sd values.

Examples

kappas <- runif(1000, 0.01, 100)

# calcualte SD (in radians)
SDs <- k2sd(kappas)

# transform SDs from radians to degrees
SDs_degress <- SDs * 180 / pi

# plot the relationship between kappa and circular SD
plot(kappas,SDs)

plot(kappas,SDs_degress)