# Circular Statistics

## Documentation for package ‘circular’ version 0.4-93

- DESCRIPTION file.
- Package NEWS.

## Help Pages

A B C D E F G H I J K L M N P Q R S T U V W X Y misc

circular-package | Package 'circular': summary information

## -- A --

A1 | Ratio of First and Zeroth Order Bessel Functions
A1FirstDerivative | First derivative of the Ratio of First and Zeroth Order Bessel Functions.
A1inv | Inverse of A1
A1SecondDerivative | Second derivative of the Ratio of First and Zeroth Order Bessel Functions.
angular.deviation | A measure of deviation for Circular Data
angular.variance | A measure of variance for Circular Data
aov.circular | Analysis of Variance for circular data
arrows.circular | Add Arrows to a Circular Plot
as.circular | Create Objects of class circular for Circular data.
as.data.frame.circular | as.data.frame.circular
axis.circular | Add Axis to a Circular Plot

## -- B --

bw.cv.ml.circular | Bandwidth Selectors for Kernel Density Estimation for Circular Data
bw.cv.mse.circular | Bandwidth Selectors for Kernel Density Estimation for Circular Data
bw.nrd.circular | Bandwidth Selectors for Kernel Density Estimation for Circular Data

## -- C --

c.circular | A method for circular object, which combines its arguments
change.point | Change Point Test
circle.control | Auxiliary for Controlling Circular Plots
Circular | Package 'circular': summary information
circular | Create Objects of class circular for Circular data.
circular.colors | Color Palettes for Circular
circularp | Attributes for a Circular Object
circularp<- | Attributes for a Circular Object
conversion.circular | Unit of Measure Conversion for Circular Data and other conversions
coord2rad | Angles between a vector and the x-axis
cor.circular | Correlation Coefficient for Angular Variables
curve.circular | Draw Function Plots in a Circle

## -- D --

dasytriangular | Asymmetric Triangular Density Function
daxialvonmises | Axial von Mises Density Function
dcardioid | Cardioid Density Function
dcarthwrite | Carthwrite's Power-of-Cosine Density Function
dcircularuniform | Circular Uniform Density Function
deg | Degrees
density.circular | Kernel Density Estimation for Circular Data
dgenvonmises | Generalized Von Mises Density Function
dist.circular | Distance Matrix Computation for Circular Data
djonespewsey | Jones and Pewsey Density Function
dkatojones | Kato and Jones Density Function
dmixedvonmises | Mixture of von Mises Distributions
dpnorm | Projected bivariate normal on the circle
dtriangular | Triangular Density Function
dvonmises | von Mises Density Function
dwrappedcauchy | Wrapped Cauchy Density Function
dwrappednormal | Wrapped Normal Density Function

## -- E --

equal.kappa.test | Equal Kappa Test

## -- F --

fisherB1 | B.1 Arrival times at an intensive care unit
fisherB10 | B.10 Directions of desert ants
fisherB10c | B.10 Directions of desert ants
fisherB11 | B.11 Movements of sea stars
fisherB11c | B.11 Movements of sea stars
fisherB12 | B.12: Vanishing directions of homing pigeons
fisherB12c | B.12: Vanishing directions of homing pigeons
fisherB13 | B.13: Orientations of termite mounds
fisherB13c | B.13: Orientations of termite mounds
fisherB18 | B.18 Wind direction and ozone concentration.
fisherB18c | B.18 Wind direction and ozone concentration.
fisherB1c | B.1 Arrival times at an intensive care unit
fisherB2 | B.2 Measurements of long-axis orientation of 133 feldspar laths in basalt
fisherB20 | B.20 Movements of blue periwinkles.
fisherB20c | B.20 Movements of blue periwinkles.
fisherB2c | B.2 Measurements of long-axis orientation of 133 feldspar laths in basalt
fisherB3 | B.3 Movements of turtles
fisherB3c | B.3 Movements of turtles
fisherB4 | B.4 Directional preferences of starhead topminnows
fisherB4c | B.4 Directional preferences of starhead topminnows
fisherB5 | B.5 Measurements of long-axis orientation of 164 feldspar laths in basalt
fisherB5c | B.5 Measurements of long-axis orientation of 164 feldspar laths in basalt
fisherB6 | B.6 Cross-bed azimuths of palaeocurrents
fisherB6c | B.6 Cross-bed azimuths of palaeocurrents
fisherB7 | B.7 Movements of ants
fisherB7c | B.7 Movements of ants
fisherB8 | B.8 Orientations of pebbles
fisherB8c | B.8 Orientations of pebbles
fisherB9 | B.9 Dance directions of bees
fisherB9c | B.9 Dance directions of bees
fisherB9direction | B.9 Dance directions of bees
fisherB9frequency | B.9 Dance directions of bees

## -- G --

genvonmises | Generalized Von Mises Density Function

## -- H --

heatmap.circular | Draw a Heat Map for circular data

## -- I --

I.0 | Zeroth Order Bessel Function of the First Kind
I.1 | First Order Bessel Function of the First Kind
I.p | P-th Order Bessel Function of the First Kind
intersect.modal.region | Intersection between model region and a given interval.
intersect.modal.region.circular | Intersection between model region and a given interval.
intersect.modal.region.default | Intersection between model region and a given interval.
is.circular | Create Objects of class circular for Circular data.

## -- J --

jonespewsey | Jones and Pewsey Density Function

## -- K --

kuiper.test | Kuiper's Test

## -- L --

lines.circular | Add Connected Line Segments to a Circular Plot
lines.density.circular | Add a Plot for Kernel Density Estimation for Circular Data
lines.edf | Plot Circular Empirical Distribution Function
lm.circular | Circular-Circular and Circular-Linear Regression
lm.circular.cc | Circular-Circular and Circular-Linear Regression
lm.circular.cl | Circular-Circular and Circular-Linear Regression
lsfit.circle | Fit a 2D circle to an (x,y) dataset

## -- M --

mean.circular | Mean Direction
meandeviation | A measure of deviation for Circular Data
median.circular | Median Direction
medianHL | Median using Hodges-Lehmann estimate.
medianHL.circular | Median using Hodges-Lehmann estimate.
medianHL.default | Median using Hodges-Lehmann estimate.
minusPiPlusPi | return angles in the [-pi,pi] interval.
mle.vonmises | von Mises Maximum Likelihood Estimates
mle.vonmises.bootstrap.ci | Bootstrap Confidence Intervals
mle.wrappedcauchy | Wrapped Cauchy Maximum Likelihood Estimates
mle.wrappednormal | Wrapped Normal Maximum Likelihood Estimates
modal.region | Modal regions
modal.region.circular | Modal regions
modal.region.default | Modal regions

## -- N --

ncfrog | Northern Cricket Frog
ncfrog.rad | Northern Cricket Frog

## -- P --

pigeons | Initial orientation of displaced homing pigeons
plot.circular | Circular Data Plot
plot.density.circular | Plot Method for Kernel Density Estimation for Circular Data
plot.edf | Plot Circular Empirical Distribution Function
plot.function.circular | Draw Function Plots in a Circle
plot.lsfit.circle | Plot method for lsfit.circle function
pmixedvonmises | Mixture of von Mises Distributions
points.circular | Add Points to a Circular Plot
pp.plot | von Mises Probability-Probability Plot
pp.unif.plot | Uniform Circular Probability-Probability Plot
print.aov.circular | Analysis of Variance for circular data
print.circular | Create Objects of class circular for Circular data.
print.density.circular | Kernel Density Estimation for Circular Data
print.equal.kappa.test | Equal Kappa Test
print.kuiper.test | Kuiper's Test
print.lm.circular.cl | Circular-Circular and Circular-Linear Regression
print.lsfit.circle | Fit a 2D circle to an (x,y) dataset
print.mle.vonmises | von Mises Maximum Likelihood Estimates
print.mle.vonmises.bootstrap.ci | Bootstrap Confidence Intervals
print.mle.wrappedcauchy | Wrapped Cauchy Maximum Likelihood Estimates
print.mle.wrappednormal | Wrapped Normal Maximum Likelihood Estimates
print.rao.spacing.test | Rao's Spacing Test of Uniformity
print.rao.test | Rao's Tests for Homogeneity
print.rayleigh.test | Rayleigh Test of Uniformity
print.watson.test | Watson's Test
print.watson.two.test | Watson's Two-Sample Test of Homogeneity
pvonmises | von Mises Density Function
pwrappednormal | Wrapped Normal Density Function

## -- Q --

quantile.circular | Sample Circular Quantiles
qvonmises | von Mises Density Function
qwrappednormal | Wrapped Normal Density Function

## -- R --

rad | Radians
range.circular | Circular Range
rao.spacing.test | Rao's Spacing Test of Uniformity
rao.table | Table for Rao's Spacing Test of Uniformity
rao.test | Rao's Tests for Homogeneity
rayleigh.test | Rayleigh Test of Uniformity
rcardioid | Cardioid Density Function
rcircularuniform | Circular Uniform Density Function
rho.circular | Mean Resultant Length
rkatojones | Kato and Jones Density Function
rmixedvonmises | Mixture of von Mises Distributions
rose.diag | Rose Diagram
rpnorm | Projected bivariate normal on the circle
rstable | Random Generation from the Stable Family of Distributions
rtriangular | Triangular Density Function
rvonmises | von Mises Density Function
rwrappedcauchy | Wrapped Cauchy Density Function
rwrappednormal | Wrapped Normal Density Function
rwrappedstable | Random Generation from the Wrapped Stable Distribution

## -- S --

sd | Standard Deviation
sd.circular | Circular Standard Deviation
sd.data.frame | Standard Deviation
sd.default | Standard Deviation
summary.circular | Circular Summary Statistics
swallows | Orientation of juvenile barn swallows

## -- T --

ticks.circular | Draw Tick-Marks in a Circular Plot
totalvariation.circular | Conditional total variation distance between two circular samples.
trigonometric.moment | Trigonometric Moments
turtles | Arrival directions of displaced sea turtles

## -- U --

unique.circular | Extract Unique Elements from a circular vector

## -- V --

var | Variance
var.circular | A measure of variance for Circular Data
var.data.frame | Variance
var.default | Variance
vonMises | von Mises Density Function

## -- W --

wallraff.test | Wallraff Test of Angular Distances
wallraff.test.default | Wallraff Test of Angular Distances
wallraff.test.formula | Wallraff Test of Angular Distances
wallraff.test.list | Wallraff Test of Angular Distances
watson.test | Watson's Test
watson.two.test | Watson's Two-Sample Test of Homogeneity
watson.wheeler.test | Watson-Williams Test of Homogeneity of Means
watson.wheeler.test.default | Watson-Williams Test of Homogeneity of Means
watson.wheeler.test.formula | Watson-Williams Test of Homogeneity of Means
watson.wheeler.test.list | Watson-Williams Test of Homogeneity of Means
watson.williams.test | Watson-Williams Test of Homogeneity of Means
watson.williams.test.default | Watson-Williams Test of Homogeneity of Means
watson.williams.test.formula | Watson-Williams Test of Homogeneity of Means
watson.williams.test.list | Watson-Williams Test of Homogeneity of Means
weighted.mean.circular | Weighted Mean Direction
wind | Col De La Roa wind direction
windrose | Windrose Generator

## -- X --

x.coope | Coope dataset

## -- Y --

y.coope | Coope dataset

## -- misc --

[.circular | Extract or Replace Parts of a Circular Object