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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

lepage

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

col.lepage

Examples

x <- rnorm(30)
y <- rnorm(40)
lepage(x, y)

These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.
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