fisherCR.Q4: Fisher Mean Polax Axis CR Method

In heike/rotations: Tools for working with rotational data

Description

Find the radius of a 100(1-a) projected mean Fisher et al. (1996)

Usage

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

Arguments

Qs	A n-by-4 matrix where each row corresponds to a random rotation in matrix form
a	The alpha 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

Fisher N, Hall P, Jing B and Wood A (1996). "Improved pivotal methods for constructing confidence regions with directional data." _Journal of the American Statistical Association_, *91*(435), pp. 1062-1070.

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='fisher',alpha=0.9)

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