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FDOTT (version 0.1.0)

Optimal Transport Based Testing in Factorial Design

Description

Perform optimal transport based tests in factorial designs as introduced in Groppe et al. (2025) via the FDOTT() function. These tests are inspired by ANOVA and its nonparametric counterparts. They allow for testing linear relationships in factorial designs between finitely supported probability measures on a metric space. Such relationships include equality of all measures (no treatment effect), interaction effects between a number of factors, as well as main and simple factor effects.

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Version

Install

install.packages('FDOTT')

Monthly Downloads

114

Version

0.1.0

License

GPL (>= 3)

Maintainer

Michel Groppe

Last Published

October 1st, 2025

Functions in FDOTT (0.1.0)

simulate_finite_ot_barycenter_test

Simulations for ot_barycenter_test
ot_test_lp_solver

Control FDOTT linear programming solver
tab_sample

Generate tabulated samples from probability vectors
simulate_finite_FDOTT

Simulations for FDOTT
is_metric_cost_mat

Check metric properties of cost matrices
ot_barycenter_test

Test equality of probability vectors
FDOTT

Test linear relationships between probability vectors in factorial designs
ot_cost_sgn

Compute optimal transport costs for signed measures
FDOTT-package

FDOTT: Optimal Transport Based Testing in Factorial Design
FDOTT_HSD

Test multiple linear relationships between probability vectors in factorial designs
cost_matrix_lp

Cost Matrix of \(\ell^p\)-Form.
ot_barycenter

Compute optimal transport barycenters