GeneralisedCovarianceMeasure: Test for Conditional Independence Based on the Generalized Covariance Measure (GCM)

A statistical hypothesis test for conditional independence. It performs nonlinear regressions on the conditioning variable and then tests for a vanishing covariance between the resulting residuals. It can be applied to both univariate random variables and multivariate random vectors. Details of the method can be found in Rajen D. Shah and Jonas Peters: The Hardness of Conditional Independence Testing and the Generalised Covariance Measure, Annals of Statistics 48(3), 1514–1538, 2020.

Version: 0.2.0
Imports: CVST, graphics, kernlab, mgcv, stats, xgboost
Published: 2022-03-24
DOI: 10.32614/CRAN.package.GeneralisedCovarianceMeasure
Author: Jonas Peters and Rajen D. Shah
Maintainer: Jonas Peters <jonas.peters at>
License: GPL-2
NeedsCompilation: no
CRAN checks: GeneralisedCovarianceMeasure results


Reference manual: GeneralisedCovarianceMeasure.pdf


Package source: GeneralisedCovarianceMeasure_0.2.0.tar.gz
Windows binaries: r-devel:, r-release:, r-oldrel:
macOS binaries: r-release (arm64): GeneralisedCovarianceMeasure_0.2.0.tgz, r-oldrel (arm64): GeneralisedCovarianceMeasure_0.2.0.tgz, r-release (x86_64): GeneralisedCovarianceMeasure_0.2.0.tgz, r-oldrel (x86_64): GeneralisedCovarianceMeasure_0.2.0.tgz
Old sources: GeneralisedCovarianceMeasure archive

Reverse dependencies:

Reverse imports: weightedGCM


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