Directional Statistics


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Documentation for package ‘Directional’ version 1.7.5

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Directional-package This is an R package that provides methods for statistical analysis of Directional data.
acg MLE of the angular central Gaussian distribution
Arotation Rotation axis and angle of rotation given a rotation matrix.
bic.mixvmf BIC to choose the number of components in a model based clustering using mixtures of von Mises-Fisher distributions
circ.cor1 Correlation for circular variables using the cosinus and sinus formula of Jammaladaka and SenGupta (1988).
circ.cor2 Correlation for circular variables using the cosinus and sinus formula of Mardia and Jupp (2000).
circ.summary Summary statistics for circular data.
circlin.cor Circular-linear correlation.
conc.test A test for testing the equality of the concentration parameter among g samples, where g >= 2 for ciruclar data.
dirknn k-NN algorithm using the arc cosinus distance.
dirknn.tune k-NN algorithm using the arc cosinus distance. Tuning the k neigbours.
embed.aov Analysis of variance for (hyper-)spherical data using the embedding approach.
embed.circaov Analysis of variance for circular data using the embedding approach.
euclid Euclidean transformation.
euclid.inv Inverse of the Euclidean transformation.
f.rbing Simulating from a Bingham distribution
fb.saddle Saddlepoint approximations of the Fisher-Bingham distributions
fishkent Hypothesis test for von Mises-Fisher distribution over Kent's distribution.
hcf.aov Analysis of variance for (hyper-)spherical data using the high concentration F test.
hcf.circaov Analysis of variance for circular data using the high concentration F test.
het.aov Analysis of variance for (hyper-)spherical data without assuming equality of the concentration parameters.
het.circaov Analysis of variance for circular data without assuming equal concentration parameters.
kent.contour Contour plot of the Kent distribution without any data.
kent.datacontour Contour plot of the Kent distribution without any data.
kent.mle MLe of the Kent distribution.
lambert Lambert's equal area projection
lambert.inv Inverse of Lambert's equal area projection
lr.aov Analysis of variance for (hyper-)spherical data using the log-likelihood ratio test.
lr.circaov Analysis of variance for circular data using the log-likelihood ratio test.
meandir.test Test for a given mean direction.
mediandir Spherical and hyperspherical median.
mediandir_2 Fast calculation of the spherical and hyperspherical median.
mix.vmf Mixtures of Von Mises-Fisher distributions.
mixvmf.contour Contour plot of a mixture of von Mises-Fisher distributions model for spherical data only.
rayleigh Rayleigh's test of uniformity.
rbingham Simulation from a Bingham distribution using any symmetric matrix A
rfb Simulation of random values from a Fisher-Bingham distribution
rmixvmf Random values simulation from a mixture of von Mises-Fisher distributions.
rot.matrix Rotation matrix from a rotation axis and angle of rotation.
rotation Rotation matrix to rotate a spherical vector along the direction of another.
rvmf Random values simulation from a von Mises-Fisher distribution.
rvonmises Random values simulation from a von Mises-Fisher distribution.
spher.cor Spherical-spherical correlation.
spher.reg Spherical-Spherical regression.
spherconc.test Test for equality of concentration parameters for spherical data
spml.reg Circular or angular regression.
tang.conc A test for testing the equality of the concentration parameter among g samples, where g >= 2 for ciruclar data.
vm.kde Kernel density estimation of circular data with a von Mises kernel.
vmf MLe of the parameters of a von Mises-Fisher distribution.
vmf.contour Contour plots of the von Mises-Fisher distribution on the sphere.
vmf.da Cross validation for estimating the classification rate of a discrminant analysis for directional data assuming a von Mises-Fisher distribution.
vmf.kde Kernel density estimation for (hyper-)spherical data using a von Mises-Fisher kernel.
vmf.kerncontour Contour plot of spherical data using a von Mises-Fisher kernel density estimate.
vmfda.pred Prediction of a new observation using discriminant analysis based on von Mises-Fisher distributions.
vmfkde.tune Tuning of the bandwidth parameter in the von Mises-Fisher kernel for (hyper-)spherical data.
vmfkde.tune_2 Fast tuning of the bandwidth parameter in the von Mises-Fisher kernel for (hyper-)spherical data with an optimizer.
vmkde.tune Tuning of the bandwidth parameter in the von Mises kernel for circular data.
vmkde.tune_2 Fast tuning of the bandwidth parameter in the von Mises kernel for circular data.
wood.mle MLe of the Wood bimodal distribution on the sphere.