| Type: | Package |
| Title: | LePage Type Tests |
| Version: | 1.0 |
| Date: | 2025-09-25 |
| Author: | Michail Tsagris [aut, cre], Abid Hussain [aut] |
| Maintainer: | Michail Tsagris <mtsagris@uoc.gr> |
| Depends: | R (≥ 4.0) |
| Imports: | Rfast, stats |
| Suggests: | Rfast2 |
| Description: | Location and scale hypothesis testing using the LePage test and variants of its as proposed by Hussain A. and Tsagris M. (2025), <doi:10.48550/arXiv.2509.19126>. |
| License: | GPL-2 | GPL-3 [expanded from: GPL (≥ 2)] |
| NeedsCompilation: | no |
| Packaged: | 2025-09-25 05:27:59 UTC; mtsag |
| Repository: | CRAN |
| Date/Publication: | 2025-10-01 07:30:09 UTC |
LePage type tests
Description
LePage type tests
Details
| Package: | LePage |
| Type: | Package |
| Version: | 1.0 |
| Date: | 2025-09-25 |
| License: | GPL-2 |
Maintainers
Michail Tsagris <mtsagris@uoc.gr>
Author(s)
Abid Hussain abid0100@gmail.com and Michail Tsagris mtsagris@uoc.gr.
References
Hussain A. and Tsagris M. (2025). Modified Lepage-type test statistics for the weak null hypothesis. https://arxiv.org/pdf/2509.19126
Column-wise LePage type tests
Description
Column-wise LePage type tests
Usage
col.lepage(x, y)
Arguments
x |
A numerical matrix with data, where each column corresponds to the first sample. |
y |
A numerical matrix with data, where each column corresponds to the second sample. |
Details
The classical LePage and 5 variants of it are performed, as proposed by Hussain and Tsagris (2025). The test is performed for each pair of columns of the x and y matrices, between the i-th column of and y.
Value
A list including:
statistic |
A matrix with 6 columns, where each column contains each test statistic and each row refers to the pair of groups. |
pvalue |
A matrix with 6 columns, where each column contains each p-value and each row refers to the pair of groups. |
Author(s)
Abid Hussain and Michail Tsagris.
R implementation and documentation: Abid Hussain abid0100@gmail.com and Michail Tsagris mtsagris@uoc.gr.
References
Hussain A. and Tsagris M. (2025). Modified Lepage-type test statistics for the weak null hypothesis. https://arxiv.org/pdf/2509.19126
See Also
Examples
x <- matrix( rnorm(30 * 5), ncol = 5 )
y <- matrix( rnorm(31 * 5), ncol = 5 )
col.lepage(x, y)
LePage type tests
Description
LePage type tests
Usage
lepage(x, y)
Arguments
x |
A numerical vector with data of the first sample. |
y |
A numerical vector with data of the second sample. |
Details
The classical LePage and 5 variants of it are performed, as proposed by Hussain and Tsagris (2025).
Value
A matrix with 6 columns and two rows. The first row refers to the 6 test statistics and the second row to their corresponding p-values.
Author(s)
Abid Hussain and Michail Tsagris.
R implementation and documentation: Abid Hussain abid0100@gmail.com and Michail Tsagris mtsagris@uoc.gr.
References
Hussain A. and Tsagris M. (2025). Modified Lepage-type test statistics for the weak null hypothesis. https://arxiv.org/pdf/2509.19126
See Also
Examples
x <- rnorm(30)
y <- rnorm(40)
lepage(x, y)