rancourtCR.Q4: Rancourt CR Method

In heike/rotations: Tools for working with rotational data

Description

Find the radius of a 100(1-a) projected mean Rancourt et al. (2000)

Usage

  ## S3 method for class 'Q4'
 rancourtCR(Qs, a)

Arguments

Qs	A n-by-4 matrix where each row corresponds to a random rotation in matrix form
method	Character string specifying which type of interval is required
a	The alhpa level desired

Details

This works in the same way as done in Bingham et al. (2009) which assumes rotational symmetry and is therefore conservative.

Value

radius of the confidence region centered at the projected mean

References

Rancourt D, Rivest L and Asselin J (2000). "Using orientation statistics to investigate variations in human kinematics." _Journal of the Royal Statistical Society: Series C (Applied Statistics)_, *49*(1), pp. 81-94.

Bingham M, Nordman D and Vardeman S (2009). "Modeling and Inference for Measured Crystal Orientations and a Tractable Class of Symmetric Distributions for Rotations in three Dimensions." _Journal of the American Statistical Association_, *104*(488), pp. 1385-1397.

Examples

Qs<-ruars(20,rcayley,kappa=100,space='Q4')
region(Qs,method='rancourt',alpha=0.9)

heike/rotations documentation built on May 17, 2019, 3:24 p.m.