fisheretal | R Documentation |
Find the radius of a 100(1-α)% confidence region for the central orientation based on transforming a result from directional statistics.
fisheretal(x, alp = NULL, boot = TRUE, m = 300, symm = TRUE) ## S3 method for class 'Q4' fisheretal(x, alp = NULL, boot = TRUE, m = 300, symm = TRUE) ## S3 method for class 'SO3' fisheretal(x, alp = NULL, boot = TRUE, m = 300, symm = TRUE)
x |
n-by-p matrix where each row corresponds to a random rotation in matrix (p=9) or quaternion (p=4) form. |
alp |
alpha level desired, e.g. 0.05 or 0.10. |
boot |
should the bootstrap or normal theory critical value be used. |
m |
number of bootstrap replicates to use to estimate critical value. |
symm |
logical; if TRUE (default), a symmetric region is constructed. |
Compute the radius of a 100(1-α)% confidence region for the central orientation based on the projected mean estimator using the method for the mean polar axis as proposed in fisher1996. To be able to reduce their method to a radius requires the additional assumption of rotational symmetry, equation (10) in fisher1996.
fisher1996
Radius of the confidence region centered at the projected mean.
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Qs<-ruars(20, rcayley, kappa = 100, space = 'Q4') # The Fisher et al. method can be accesed from the "region" function or the "fisheretal" function region(Qs, method = "transformation", type = "bootstrap", alp = 0.1, symm = TRUE, estimator = "mean") fisheretal(Qs, alp = 0.1, boot = TRUE, symm = TRUE)
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