A Collection of Functions for Directional Data Analysis

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Documentation for package ‘Directional’ version 6.0

• DESCRIPTION file.

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A B C D E F G H I K L M N O P Q R S T V W

Directional-package

This is an R package that provides methods for the statistical analysis of directional data, including massive (very large scale) directional data.

-- A --

acg.mle	MLE of (hyper-)spherical rotational symmetric distributions
africa	maps of the world and the continents
Arotation	Rotation axis and angle of rotation given a rotation matrix
asia	maps of the world and the continents

-- B --

bic.mixvmf

BIC to choose the number of components in a model based clustering using mixtures of von Mises-Fisher distributions

-- C --

cardio.mle	MLE of some circular distributions
cipc.mle	MLE of some circular distributions
circ.cor1	Circular correlations between two circular variables
circ.cor2	Circular correlations between two circular variables
circ.cors1	Circular correlations between two circular variables
circ.cors2	Circular correlations between two circular variables
circ.summary	Summary statistics for circular data
circbeta.mle	MLE of some circular distributions
circexp.mle	MLE of some circular distributions
circlin.cor	Circular-linear correlation
circpurka.reg	Circular or angular regression
colspml.mle	Column-wise MLE of the angular Gaussian and the von Mises Fisher distributions
colvm.mle	Column-wise MLE of the angular Gaussian and the von Mises Fisher distributions
colwatsons	Column-wise uniformity tests for circular data
conc.test	A test for testing the equality of the concentration parameter among g samples, where g >= 2 for ciruclar data
cosap	Conversion of cosines to azimuth and plunge
cosnn	The k-nearest neighbours using the cosinus distance

-- D --

dcardio	Density of some circular distributions
dcipc	Density of some circular distributions
dcircbeta	Density of some circular distributions
dcircexp	Density of some circular distributions
dcircpurka	Density of some circular distributions
desag	Density of the spherical ESAG and Kent distributions
dgcpc	Density of some circular distributions
dggvm	Density of some circular distributions
dirda.cv	Cross validation for estimating the classification rate
dirknn	k-NN algorithm using the arc cosinus distance
dirknn.tune	k-NN algorithm using the arc cosinus distance. Tuning the k neigbours
dkent	Density of the spherical ESAG and Kent distributions
dmixvmf	Density of a mixture of von Mises-Fisher distributions
dpurka	Density of some (hyper-)spherical distributions
dsespc	Density of the SESPC distribution
dspcauchy	Density of some (hyper-)spherical distributions
dspml	Density of some circular distributions
dvm	Density of some circular distributions
dvmf	Density of some (hyper-)spherical distributions
dwood	Density of the Wood bimodal distribution on the sphere
dwrapcauchy	Density of some circular distributions

-- E --

embed.aov	Analysis of variance for (hyper-)spherical data
embed.boot	Bootstrap 2-sample mean test for (hyper-)spherical data
embed.circaov	Analysis of variance for circular data
embed.perm	Permutation based 2-sample mean test for (hyper-)spherical data
embedcirc.boot	Bootstrap 2-sample mean test for circular data
embedcirc.perm	Permutation based 2-sample mean test for circular data
esag.contour	Contour plot (on the plane) of the ESAG and Kent and ESAG distributions without any data
esag.da	Cross validation for estimating the classification rate of a discrminant analysis for directional data assuming an ESAG distribution
esag.mle	MLE of the ESAG distribution
esag.reg	Spherical regression using the ESAG distribution
esagda.pred	Prediction of a new observation using discriminant analysis based on ESAG distribution
etoa	Transform unit vectors to angular data
euclid	Euclidean transformation
euclid.inv	Inverse of the Euclidean transformation
eul2rot	Construct a rotation matrix on SO(3) from the Euler angles.
europe	maps of the world and the continents

-- F --

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 distribution

-- G --

gcpc.mle	MLE of some circular distributions
ggvm.mle	MLE of some circular distributions
group.gof	Goodness of fit test for grouped data
group.vm	Summary statistics for grouped circular data

-- H --

habeck.rot	Generation of three-dimensional random rotations using Habeck's algorithm.
haversine.dist	Harvesine distance matrix
hcf.aov	Analysis of variance for (hyper-)spherical data
hcf.boot	Bootstrap 2-sample mean test for (hyper-)spherical data
hcf.circaov	Analysis of variance for circular data
hcf.perm	Permutation based 2-sample mean test for (hyper-)spherical data
hcfcirc.boot	Bootstrap 2-sample mean test for circular data
hcfcirc.perm	Permutation based 2-sample mean test for circular data
hclr.aov	Analysis of variance for (hyper-)spherical data
hclr.boot	Bootstrap 2-sample mean test for (hyper-)spherical data
hclr.circaov	Analysis of variance for circular data
hclr.perm	Permutation based 2-sample mean test for (hyper-)spherical data
hclrcirc.boot	Bootstrap 2-sample mean test for circular data
hclrcirc.perm	Permutation based 2-sample mean test for circular data
het.aov	Analysis of variance for (hyper-)spherical data
het.boot	Bootstrap 2-sample mean test for (hyper-)spherical data
het.circaov	Analysis of variance for circular data
het.perm	Permutation based 2-sample mean test for (hyper-)spherical data
hetcirc.boot	Bootstrap 2-sample mean test for circular data
hetcirc.perm	Permutation based 2-sample mean test for circular data

-- I --

iag.mle	MLE of (hyper-)spherical rotational symmetric distributions
iag.reg	Spherical regression using the projected normal or the von Mises-Fisher distribution
iagd	Density of some (hyper-)spherical distributions
iagesag	Hypothesis test for IAG distribution over the ESAG distribution

-- K --

kent.contour	Contour plot (on the plane) of the ESAG and Kent and ESAG distributions without any data
kent.logcon	Logarithm of the Kent distribution normalizing constant
kent.mle	MLe of the Kent distribution
knn.reg	k-NN regression with Euclidean or (hyper-)spherical response and or predictor variables
knnreg.tune	Tuning of the k-NN regression with Euclidean or (hyper-)spherical response and or predictor variables
kuiper	Uniformity tests for circular data.

-- L --

lambert	Lambert's equal area projection
lambert.inv	Inverse of Lambert's equal area projection
lr.aov	Analysis of variance for (hyper-)spherical data
lr.boot	Bootstrap 2-sample mean test for (hyper-)spherical data
lr.circaov	Analysis of variance for circular data
lr.perm	Permutation based 2-sample mean test for (hyper-)spherical data
lrcirc.boot	Bootstrap 2-sample mean test for circular data
lrcirc.perm	Permutation based 2-sample mean test for circular data

-- M --

makefolds	Generate random folds for cross-validation
matrixfisher.mle	MLE of the Matrix Fisher distribution on SO(3)
meandir.test	Test for a given mean direction
mediandir	Fast calculation of the spherical and hyperspherical median
mediandir_2	Fast calculation of the spherical and hyperspherical median
mixvmf.contour	Contour plot of a mixture of von Mises-Fisher distributions model for spherical data only.
mixvmf.mle	Mixtures of Von Mises-Fisher distributions
multispml.mle	MLE of some circular distributions with multiple samples
multivm.mle	MLE of some circular distributions with multiple samples
multivmf.mle	MLE of (hyper-)spherical rotational symmetric distributions

-- N --

north.america	maps of the world and the continents
nsmedian	Normalised spatial median for directional data

-- O --

oceania

maps of the world and the continents

-- P --

pc.test	Hypothesis test for SIPC distribution over the SESPC distribution
pcircexp	Probability density function of the circular (wrapped) exponential distribution
pcircpurka	Probability density function of the circular Purkayastha distribution
purka.contour	Contour plots of some rotational symmetric distributions
purka.da	Cross validation for estimating the classification rate of a discrminant analysis for directional data assuming a Purkayastha distribution
purka.mle	MLE of the Purkayashta distribution
purkada.pred	Prediction of a new observation using discriminant analysis based on Purkayastha distribution
pvm	Probability density function of the von Mises-Fisher distribution

-- Q --

quat2rot

Converting an unsigned unit quaternion to rotation matrix on SO(3)

-- R --

racg	Angular central Gaussian random values simulation
rayleigh	Rayleigh's test of uniformity
rbingham	Simulation from a Bingham distribution using any symmetric matrix A
rcipc	Simulation of random values from some circular distributions
rcircbeta	Simulation of random values from some circular distributions
rcircexp	Simulation of random values from some circular distributions
rcircpurka	Simulation of random values from some circular distributions
read.fbm	Read a file as a Filebacked Big Matrix
resag	Simulation of random values from the ESAG distribution
rfb	Simulation of random values from a spherical Fisher-Bingham distribution
rgcpc	Simulation of random values from some circular distributions
riag	Simulation of random values from rotationally symmetric distributions
rkent	Simulation of random values from a spherical Kent distribution
rmatrixfisher	Simulation from a Matrix Fisher distribution on SO(3)
rmixvmf	Simulation of random values from a mixture of von Mises-Fisher distributions
rot.matrix	Rotation matrix from a rotation axis and angle of rotation
rot2eul	Compute the Euler angles from a rotation matrix on SO(3).
rot2quat	Converting a rotation matrix on SO(3) to an unsigned unit quaternion
rotation	Rotation matrix to rotate a spherical vector along the direction of another
rsespc	Simulation of random values from the SESPC distribution
rsop	Random sample of matrices in SO(p)
rspml	Simulation of random values from some circular distributions
rvmf	Simulation of random values from rotationally symmetric distributions
rvonmises	Simulation of random values from some circular distributions
rwrapcauchy	Simulation of random values from some circular distributions

-- S --

sespc.mle	MLE of the SESPC distribution
sipc.mle	MLE of (hyper-)spherical rotational symmetric distributions
south.america	maps of the world and the continents
spcauchy.contour	Contour plots of some rotational symmetric distributions
spcauchy.mle	MLE of (hyper-)spherical rotational symmetric distributions
spher.cor	Spherical-spherical correlation
spher.esag.contour	Contour plot (on the sphere) of the ESAG and Kent distributions
spher.kent.contour	Contour plot (on the sphere) of the ESAG and Kent distributions
spher.mixvmf.contour	Contour plot (on the sphere) of a mixture of von Mises-Fisher distributions
spher.purka.contour	Contour plot (on the sphere) of some spherical rotational symmetric distributions
spher.reg	Spherical-Spherical regression
spher.sespc.contour	Contour plot (on the sphere) of the SESPC distribution
spher.spcauchy.contour	Contour plot (on the sphere) of some spherical rotational symmetric distributions
spher.vmf.contour	Contour plot (on the sphere) of some spherical rotational symmetric distributions
spherconc.test	Test for equality of concentration parameters for spherical data
sphereplot	Interactive 3D plot of spherical data
spml.fbed	Forward Backward Early Dropping selection for circular data using the SPML regression
spml.mle	MLE of some circular distributions
spml.nb	Naive Bayes classifiers for directional data
spml.reg	Circular or angular regression
spml.regs	Many simple circular or angular regressions
spmlnb.pred	Prediction with some naive Bayes classifiers for circular data

-- T --

tang.conc

A test for testing the equality of the concentration parameter among g samples, where g >= 2 for ciruclar data

-- V --

vec	Generation of unit vector(s) with a given angle
visual.check	Check visually whether matrix Fisher samples is correctly generated or not.
vm.kde	Kernel density estimation of circular data with a von Mises kernel
vm.nb	Naive Bayes classifiers for directional data
vmf.contour	Contour plots of some rotational symmetric distributions
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
vmf.mle	MLE of (hyper-)spherical rotational symmetric distributions
vmf.reg	Spherical regression using the projected normal or the von Mises-Fisher distribution
vmfda.pred	Prediction of a new observation using discriminant analysis based on von Mises-Fisher distribution
vmfkde.tune	Tuning of the bandwidth parameter in the von Mises-Fisher kernel for (hyper-)spherical data
vmkde.tune	Tuning of the bandwidth parameter in the von Mises kernel for circular data
vmnb.pred	Prediction with some naive Bayes classifiers for circular data

-- W --

watson	Uniformity tests for circular data.
wood.mle	MLe of the Wood bimodal distribution on the sphere
worldmap	maps of the world and the continents
wrapcauchy.mle	MLE of some circular distributions