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TFORGE  

Tests for Geophysical Eigenvalues
View on CRAN: Click here


Download and install TFORGE package within the R console
Install from CRAN:
install.packages("TFORGE")

Install from Github:
library("remotes")
install_github("cran/TFORGE")

Install by package version:
library("remotes")
install_version("TFORGE", "0.1.16")



Attach the package and use:
library("TFORGE")
Maintained by
Kassel Liam Hingee
[Scholar Profile | Author Map]
All associated links for this package
First Published: 2025-12-04
Latest Update: 2025-12-18
Description:
The eigenvalues of observed symmetric matrices are often of intense scientific interest. This package offers single sample tests for the eigenvalues of the population mean or the eigenvalue-multiplicity of the population mean. For k-samples, this package offers tests for equal eigenvalues between samples. Included is support for matrices with constraints common to geophysical tensors (constant trace, sum of squared eigenvalues, or both) and eigenvectors are usually considered nuisance parameters. Pivotal bootstrap methods enable these tests to have good performance for small samples (n=15 for 3x3 matrices). These methods were developed and studied by Hingee, Scealy and Wood (2026, "Nonparametric bootstrap inference for the eigenvalues of geophysical tensors", accepted by the Journal of American Statistical Association). Also available is a 2-sample test using a Gaussian orthogonal ensemble approximation and an eigenvalue-multiplicity test that assumes orthogonally-invariant covariance.
How to cite:
Kassel Liam Hingee (2025). TFORGE: Tests for Geophysical Eigenvalues. R package version 0.1.16, https://cran.r-project.org/web/packages/TFORGE. Accessed 26 Jun. 2026.
Previous versions and publish date:
0.1.14 (2025-12-04 15:40), 0.1.15 (2025-12-05 12:40), 0.1.16 (2025-12-13 05:30)
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Complete documentation for TFORGE
Functions, R codes and Examples using the TFORGE R package
Full TFORGE package functions and examples
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