conc.test

A test for testing the equality of the concentration parameter among g samples, where g &gt;= 2 for ciruclar data.

 Circular data 

 Equality of concentrations 

 Hypothesis testing 

Test of equality of the concentration parameters for circular data

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. <doi:10.1007/s11222-017-9756-4>.
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. <doi:10.1080/23737484.2019.1684854>.
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. <doi:10.1007/s11222-019-09872-2>.
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. <doi:10.1080/03610918.2022.2045499>.
e) Tsagris M. and Alzeley O. (2023). "Circular and spherical projected Cauchy distributions: A Novel Framework for Circular and Directional Data Modeling". <doi:10.48550/arXiv.2302.02468>.
f) Zehao Yu and Xianzheng Huang (2024). A new parameterization for elliptically symmetric angular Gaussian distributions of arbitrary dimension.
Electronic Journal of Statistics, 18(1): 301--334. <doi:10.1214/23-EJS2210>.
g) Tsagris M. (2024). "Directional data analysis using the spherical Cauchy and the Poisson-kernel based distribution". <doi:10.48550/arXiv.2409.03292>.

Michail Tsagris

Directional

A Collection of Functions for Directional Data Analysis

Giorgos Athineou

Christos Adam

Anamul Sajib

Eli Amson

Zehao Yu

Test of equality of the concentration parameters for circular data function

<dl><dt>u</dt>
<dd>A numeric vector containing the values of all samples.</dd><dt>ina</dt>
<dd>A numerical variable or factor indicating the groups of each value.</dd><dt>rads</dt>
<dd>If the data are in radians this should be TRUE and FALSE otherwise.</dd></dl>

Arguments

Michail Tsagris.
R implementation and documentation: Michail Tsagris <a href="/link/mtsagris%40uoc.gr?package=Directional&version=6.8" data-mini-rdoc="Directional::mtsagris@uoc.gr">mtsagris@uoc.gr</a> and Giorgos Athineou &lt;gioathineou@gmail.com&gt;.

Author

A test for testing the equality of the concentration parameter among g samples, where g &gt;= 2 for ciruclar data — Test of equality of the concentration parameters for circular data

<dl>

<dt>u</dt>
<dd>A numeric vector containing the values of all samples.</dd>

<dt>ina</dt>
<dd>A numerical variable or factor indicating the groups of each value.</dd>

<dt>rads</dt>
<dd>If the data are in radians this should be TRUE and FALSE otherwise.</dd>

</dl>

Michail Tsagris.
R implementation and documentation: Michail Tsagris <a href='mailto:mtsagris@uoc.gr'>mtsagris@uoc.gr</a> and Giorgos Athineou &lt;gioathineou@gmail.com&gt;.

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

Description

Usage

Value

Arguments

Author

Details

References

See Also

Examples