Multivariate Distance Matrix Regression
MDMR allows a user to conduct multivariate distance matrix regression using analytic p-values and measures of effect size described by McArtor et al. (2017). Analytic p-values are computed using the R package CompQuadForm (Duchesne & De Micheaux, 2010). It also facilitates the use of MDMR on samples consisting of (hierarchically) clustered observations.
package
To access this package's tutorial, type the following line into the console:
vignette('mdmr-vignette')
There are three primary functions that comprise this package: mdmr, which regresses a distance matrix onto a set of predictors, and delta, which computes measures of univariate effect size in the context of multivariate distance matrix regression. The third function mixed.mdmr facilitates the use of MDMR on (hierarchically) clustered samples using an approach analogous to the linearar mixed-effects model for univariate outcomes. The help files of all all three functions provide more general information than the package vignette.
################################################################ ## Conducting MDMR on data comprised of independent observations ################################################################ # Source data data(mdmrdata) # Get distance matrix D <- dist(Y.mdmr, method = 'euclidean') # Conduct MDMR mdmr.res <- mdmr(X = X.mdmr, D = D) summary(mdmr.res) ################################################################ ## Conducting MDMR on data comprised of dependent observations ################################################################ # Source data data("clustmdmrdata") # Get distance matrix D <- dist(Y.clust) # Conduct mixed-MDMR mixed.res <- mixed.mdmr(~ x1 + x2 + (x1 + x2 | grp), data = X.clust, D = D) summary(mixed.res)
Davies, R. B. (1980). The Distribution of a Linear Combination of chi-square Random Variables. Journal of the Royal Statistical Society. Series C (Applied Statistics), 29(3), 323-333.
Duchesne, P., & De Micheaux, P.L. (2010). Computing the distribution of quadratic forms: Further comparisons between the Liu-Tang-Zhang approximation and exact methods. Computational Statistics and Data Analysis, 54(4), 858-862.
McArtor, D. B., Lubke, G. H., & Bergeman, C. S. (2017). Extending multivariate distance matrix regression with an effect size measure and the distribution of the test statistic. Psychometrika, 82, 1052-1077.
McArtor, D. B. (2017). Extending a distance-based approach to multivariate multiple regression (Doctoral Dissertation).
Useful links:
Maintainer : Dan McArtor dmcartor@gmail.com (dmcartor@gmail.com)