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Directional

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A Collection of Functions for Directional Data Analysis

View on CRAN: Click here

Download and install Directional package within the R console
Install from CRAN:

 install.packages("Directional")

Install from Github:

 library("remotes")

                        install_github("cran/Directional")

Install by package version:

 library("remotes")

                        install_version("Directional", "7.8")

Attach the package and use:

 library("Directional")

Maintained by
Michail Tsagris
[Scholar Profile | Author Map]

All associated links for this package

First Published: 2015-11-12

Latest Update: 2025-07-02

Description:

A collection of functions for directional data (including massive data, with millions of observations) analysis. Hypothesis testing, discriminant and regression analysis, MLE of distributions and more are included. The standard textbook for such data is the "Directional Statistics" by Mardia, K. V. and Jupp, P. E. (2000). Other references include a) Phillip J. Paine, Simon P. Preston Michail Tsagris and Andrew T. A. Wood (2018). "An elliptically symmetric angular Gaussian distribution". Statistics and Computing 28(3): 689-697. . b) Tsagris M. and Alenazi A. (2019). "Comparison of discriminant analysis methods on the sphere". Communications in Statistics: Case Studies, Data Analysis and Applications 5(4):467--491. . c) P. J. Paine, S. P. Preston, M. Tsagris and Andrew T. A. Wood (2020). "Spherical regression models with general covariates and anisotropic errors". Statistics and Computing 30(1): 153--165. . d) Tsagris M. and Alenazi A. (2024). "An investigation of hypothesis testing procedures for circular and spherical mean vectors". Communications in Statistics-Simulation and Computation, 53(3): 1387--1408. . e) Tsagris M. and Alzeley O. (2023). "Circular and spherical projected Cauchy distributions: A Novel Framework for Circular and Directional Data Modeling". .

How to cite:

Michail Tsagris (2015). Directional: A Collection of Functions for Directional Data Analysis. R package version 7.8, https://cran.r-project.org/web/packages/Directional. Accessed 28 Oct. 2026.

Previous versions and publish date:

1.0 (2015-11-12 19:00), 1.5 (2015-11-23 12:33), 1.6 (2016-01-12 14:18), 1.7.5 (2016-02-12 14:41), 1.7 (2016-01-27 18:18), 1.8 (2016-03-16 16:43), 1.9 (2016-04-21 08:20), 2.0 (2016-05-25 11:56), 2.1 (2016-06-20 08:39), 2.2 (2016-08-01 13:20), 2.3 (2016-10-26 10:37), 2.4 (2016-12-13 15:33), 2.5 (2017-02-27 18:10), 2.6 (2017-02-27 18:25), 2.7 (2017-05-17 09:12), 2.8 (2017-07-25 11:31), 2.9 (2017-10-17 00:57), 3.0 (2017-11-22 11:47), 3.1 (2018-03-19 11:02), 3.2 (2018-06-11 14:58), 3.3 (2018-07-11 22:00), 3.4 (2018-11-12 11:10), 3.6 (2019-03-25 11:08), 3.7 (2019-04-19 23:00), 3.8 (2019-06-18 10:20), 3.9 (2019-06-28 22:31), 4.0 (2019-09-14 18:00), 4.1 (2020-01-07 09:50), 4.2 (2020-02-24 09:50), 4.3 (2020-03-24 14:40), 4.4 (2020-07-13 09:20), 4.5 (2020-11-30 22:10), 4.6 (2021-01-09 08:50), 4.7 (2021-02-15 17:50), 4.8 (2021-02-16 07:20), 4.9 (2021-03-27 09:40), 5.0 (2021-05-26 17:20), 5.1 (2021-10-29 09:30), 5.2 (2021-11-07 20:20), 5.3 (2022-02-13 23:10), 5.4 (2022-05-15 12:10), 5.5 (2022-05-24 10:20), 5.6 (2022-09-22 11:00), 5.7 (2023-01-11 23:03), 5.8 (2023-02-07 12:12), 5.9 (2023-03-26 22:40), 6.0 (2023-04-03 10:20), 6.1 (2023-07-17 10:40), 6.2 (2023-09-07 20:30), 6.3 (2023-10-12 00:10), 6.4 (2023-12-09 12:10), 6.5 (2024-02-29 14:32), 6.6 (2024-04-11 15:20), 6.7 (2024-07-05 12:50), 6.8 (2024-09-09 21:00), 6.9 (2024-10-29 09:30), 7.0 (2024-12-05 09:40), 7.1 (2025-02-12 00:40), 7.2 (2025-07-03 01:10), 7.3 (2025-10-22 07:10), 7.4 (2026-03-11 09:20), 7.5 (2026-04-30 07:11), 7.6 (2026-06-17 07:10), 7.7 (2026-07-20 23:00), 7.8 (2026-09-02 14:20), 7.9 (2026-10-05 14:30), (2026-10-28 12:30)

Other packages that cited Directional R package

View Directional citation profile

Other R packages that Directional depends, imports, suggests or enhances

View Directional dependency map

Complete documentation for Directional

View documentation PDF

Functions, R codes and Examples using the Directional R package

Some associated functions: Arotation . Directional-package . bic.mixvmf . circ.cor1 . circ.cors1 . circ.summary . circlin.cor . colspml.mle . colwatsons . conc.test . cosap . cosnn . dirda.cv . dirknn . dirknn.tune . dkent . dvm . dvmf . esag.contour . esag.da . esag.datacontour . esag.mle . esagda.pred . etoa . euclid.inv . euclid . eul2rot . f.rbing . fb.saddle . fishkent . group.gof . group.vm . habeck.rot . haversine.dist . hcf.aov . hcf.boot . hcf.circaov . hcf.perm . hcfcirc.boot . hcfcirc.perm . iag.reg . iagesag . kent.contour . kent.datacontour . kent.logcon . kent.mle . knn.reg . knnreg.tune . kuiper . lambert.inv . lambert . makefolds . matrixfisher.mle . meandir.test . mediandir . mixvmf.contour . mixvmf.mle . multivm.mle . nsmedian . oceania . pcircexp . pcircpurka . purka.da . purka.mle . purkada.pred . pvm . quat2rot . racg . rayleigh . rbingham . read.fbm . resag . rfb . rkent . rmatrixfisher . rmixvmf . rot.matrix . rot2eul . rot2quat . rotation . rsop . rvmf . rvonmises . spher.cor . spher.reg . spherconc.test . sphereplot . spml.fbed . spml.mle . spml.reg . spml.regs . tang.conc . vec . visual.check . vm.kde . vm.nb . vmf.contour . vmf.da . vmf.kde . vmf.kerncontour . vmf.mle . vmfda.pred . vmfkde.tune . vmkde.tune . vmnb.pred . wood.mle .
Some associated R codes: Arotation.R . acg.mle.R . africa.R . asia.R . bic.mixvmf.R . cardio.mle.R . circ.cor1.R . circ.cor2.R . circ.cors1.R . circ.cors2.R . circ.summary.R . circbeta.mle.R . circexp.mle.R . circlin.cor.R . circpurka.reg.R . colspml.mle.R . colvm.mle.R . colwatsons.R . conc.test.R . cosap.R . cosnn.R . dcardio.R . dcircbeta.R . dcircexp.R . dcircpurka.R . desag.R . dggvm.R . dirda.cv.R . dirknn.R . dirknn.tune.R . dkent.R . dpurka.R . dspml.R . dvm.R . dvmf.R . dwrapcauchy.R . embed.aov.R . embed.boot.R . embed.circaov.R . embed.perm.R . embedcirc.boot.R . embedcirc.perm.R . esag.contour.R . esag.da.R . esag.datacontour.R . esag.mle.R . esagda.pred.R . etoa.R . euclid.R . euclid.inv.R . eul2rot.R . europe.R . f.rbing.R . fb.saddle.R . fishkent.R . ggvm.mle.R . group.gof.R . group.vm.R . habeck.rot.R . haversine.dist.R . hcf.aov.R . hcf.boot.R . hcf.circaov.R . hcf.perm.R . hcfcirc.boot.R . hcfcirc.perm.R . hclr.aov.R . hclr.boot.R . hclr.circaov.R . hclr.perm.R . hclrcirc.boot.R . hclrcirc.perm.R . het.aov.R . het.boot.R . het.circaov.R . het.perm.R . hetcirc.boot.R . hetcirc.perm.R . iag.mle.R . iag.reg.R . iagd.R . iagesag.R . kent.contour.R . kent.datacontour.R . kent.logcon.R . kent.mle.R . knn.reg.R . knnreg.tune.R . kuiper.R . lambert.R . lambert.inv.R . lr.aov.R . lr.boot.R . lr.circaov.R . lr.perm.R . lrcirc.boot.R . lrcirc.perm.R . makefolds.R . matrixfisher.mle.R . meandir.test.R . mediandir.R . mediandir_2.R . mixvmf.contour.R . mixvmf.mle.R . multispml.mle.R . multivm.mle.R . multivmf.mle.R . north.america.R . nsmedian.R . oceania.R . pcircexp.R . pcircpurka.R . purka.da.R . purka.mle.R . purkada.pred.R . pvm.R . quat2rot.R . racg.R . rayleigh.R . rbingham.R . rcircbeta.R . rcircexp.R . rcircpurka.R . read.fbm.R . resag.R . rfb.R . riag.R . rkent.R . rmatrixfisher.R . rmixvmf.R . rot.matrix.R . rot2eul.R . rot2quat.R . rotation.R . rsop.R . rspml.R . rvmf.R . rvonmises.R . rwrapcauchy.R . south.america.R . spcauchy.mle.R . spher.cor.R . spher.reg.R . spherconc.test.R . sphereplot.R . spml.fbed.R . spml.mle.R . spml.nb.R . spml.reg.R . spml.regs.R . spmlnb.pred.R . tang.conc.R . vec.R . visual.check.R . vm.kde.R . vm.nb.R . vmf.contour.R . vmf.da.R . vmf.kde.R . vmf.kerncontour.R . vmf.mle.R . vmf.reg.R . vmfda.pred.R . vmfkde.tune.R . vmkde.tune.R . vmnb.pred.R . watson.R . wood.mle.R . worldmap.R . wrapcauchy.mle.R . Full Directional package functions and examples

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