A Collection of Functions for Directional Data Analysis


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Documentation for package ‘Directional’ version 6.7

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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 rotationally 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
cipc.reg Circular or angular regression
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.dcor Circular distance correlation 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
dmmvm Density of some circular distributions
dpkbd Density of some (hyper-)spherical 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
gcpc.reg Circular or angular regression
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
hcfboot Bootstrap ANOVA 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
hcfcircboot Bootstrap ANOVA 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
hetboot Bootstrap ANOVA 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
hetcircboot Bootstrap ANOVA for circular data

-- I --

iag.mle MLE of (hyper-)spherical rotationally symmetric distributions
iag.reg Spherical regression using rotationally symmetric distributions
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
mmvm.mle MLE of some circular 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 rotationally 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
pcardio Cumulative distribution function of circular distributions
pcipc Cumulative distribution function of circular distributions
pcircbeta Cumulative distribution function of circular distributions
pcircexp Cumulative distribution function of circular distributions
pcircpurka Cumulative distribution function of circular distributions
pgcpc Cumulative distribution function of circular distributions
pkbd.contour Contour plots of some rotationally symmetric distributions
pkbd.mle MLE of (hyper-)spherical rotationally symmetric distributions
pmmvm Cumulative distribution function of circular distributions
pspml Cumulative distribution function of circular distributions
ptest Projections based test of uniformity
purka.contour Contour plots of some rotationally 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 Cumulative distribution function of circular distributions
pwrapcauchy Cumulative distribution function of circular distributions

-- 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
rpkbd Simulation of random values from rotationally symmetric distributions
rsespc Simulation of random values from the SESPC distribution
rsop Random sample of matrices in SO(p)
rspcauchy Simulation of random values from rotationally symmetric distributions
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
sespc.reg Spherical regression using the SESPC distribution
sipc.mle MLE of (hyper-)spherical rotationally symmetric distributions
sipc.reg Spherical regression using rotationally symmetric distributions
south.america maps of the world and the continents
spcauchy.contour Contour plots of some rotationally symmetric distributions
spcauchy.mle MLE of (hyper-)spherical rotationally symmetric distributions
spcauchy.mle2 MLE of (hyper-)spherical rotationally symmetric distributions
spher.cor Spherical-spherical correlation
spher.dcor Spherical and hyper-spherical distance 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.pkbd.contour Contour plot (on the sphere) of some spherical rotationally symmetric distributions
spher.purka.contour Contour plot (on the sphere) of some spherical rotationally 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 rotationally symmetric distributions
spher.vmf.contour Contour plot (on the sphere) of some spherical rotationally 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 rotationally 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 rotationally symmetric distributions
vmf.reg Spherical regression using rotationally symmetric distributions
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