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Estimates concentration parameter, angular standard deviation, and confidence limit.

Usage

fisher_statistics(x, w = NULL, alpha = 0.05, na.rm = TRUE)

Arguments

x

object of class "Vec3", "Line", or "Plane".

w

numeric. Optional weights for each observation.

alpha

numeric. Significance level for the confidence angle (default is 0.05 for a 95% confidence angle).

na.rm

logical. Whether NA values should be removed before the computation proceeds.

Value

list, with

"k"

estimated concentration parameter \(\kappa\) for the von Mises-Fisher distribution

"csd"

estimated angular standard deviation enclosing 63% of the orientation data. Angle is in degrees if x is a spherical object, and raidan if otherwise.

"a95"

Confidence limit for given p. Angle is in degrees if x is a spherical object, and raidan if otherwise.

Examples

set.seed(20250411)
x <- rvmf(100, mu = Line(120, 50), k = 5)
fisher_statistics(x)
#> $k
#> [1] 4.416173
#> 
#> $csd
#> [1] 38.54446
#> 
#> $csd_2s
#> [1] 66.62006
#> 
#> $alpha
#> [1] 7.640117
#>