Tool used to compute the covariance test on a set of predictors, presented in this paper : https://academic.oup.com/bib/article/25/4/bbae272/7690346 MANOCCA (Multivariate ANalysis of Conditional CovAriance) performs the covariance test : $Cov(Y_1,Y_2) \~ X + C$, as well as the multivariate version with more than two Y outcomes. In quick words, MANOCCA (Multivariate ANalysis of Conditional CovAriance) is a test of differences in correlations/covariance with regard to a predictor. The test is orthogonal to mean and variance effects, and will only grasp covariance effects.
Tool used to compute the covariance test on a set of predictors, presented in this paper : https://academic.oup.com/bib/article/25/4/bbae272/7690346 MANOCCA (Multivariate ANalysis of Conditional CovAriance) performs the covariance test : $Cov(Y_1,Y_2) \sim X + C$, as well as the multivariate version with more than two Y outcomes. In quick words, MANOCCA (Multivariate ANalysis of Conditional CovAriance) is a test of differences in correlations/covariance with regard to a predictor. The test is orthogonal to mean and variance effects, and will only grasp covariance effects.
One application of the MANOCCA test to detect co-abunding human gut microbiome communities can be found in this preprint : https://www.medrxiv.org/content/10.1101/2024.04.30.24306630v1.full