Mean Resultant Length

Description

Returns the mean resultant length of a vector of circular data.

Usage

est.rho(x)

Arguments

Details

Each observation is treated as a unit vector, or point on the unit circle. The resultant vector of the observations is found, and the length of the resultant vector divided by the sample size is returned.

Value

Returns the mean resultant length of data.

References

Jammalamadaka, S. Rao and SenGupta, A. (2001). Topics in Circular Statistics, Section 1.3, World Scientific Press, Singapore.

See Also

circ.mean, circ.disp, circ.summary, est.kappa.

Examples

# Compute the mean resultant length of a random sample of observations.
data <- runif(100, 0, 2*pi)
est.rho(data)

Results

R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

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> library(CircStats)
Loading required package: MASS
Loading required package: boot
> png(filename="/home/ddbj/snapshot/RGM3/R_CC/result/CircStats/est.rho.Rd_%03d_medium.png", width=480, height=480)
> ### Name: est.rho
> ### Title: Mean Resultant Length
> ### Aliases: est.rho
> ### Keywords: htest
> 
> ### ** Examples
> 
> # Compute the mean resultant length of a random sample of observations.
> data <- runif(100, 0, 2*pi)
> est.rho(data)
[1] 0.06911173
> 
> 
> 
> 
> 
> dev.off()
null device 
          1 
>