An R package for the paper “Wasserstein F-tests and confidence bands for the Frechet regression of density response curves”.

You can install the released version of WRI from CRAN with:

`install.packages("WRI")`

This is a basic example which shows you how to solve a common problem:

```
library(WRI)
data(strokeCTdensity)
= strokeCTdensity$predictors
predictor = strokeCTdensity$densitySupport
dSup = strokeCTdensity$densityCurve
densityCurves = predictor[3, ]
xpred
= wass_regress(rightside_formula = ~., Xfit_df = predictor,
res Ytype = 'density', Ymat = densityCurves, Sup = dSup)
# compute the density band for the third observation
= confidenceBands(res, Xpred_df = xpred, type = 'density') confidence_Band1
```

`strokeCTdensity`

: clinical, radiological scalar variables and density curves of the hematoma of 393 stroke patients`wass_regress`

: perform Frechet Regression with the Wasserstein Distance`wass_R2`

: compute Wasserstein coefficient of determination`globalFtest`

: perform global F test for Wasserstein regression`partialFtest`

: perform partial F test for Wasserstein regression`summary.WRI`

: provide summary information of Wasserstein regression`confidenceBands`

: compute intrinsic confidence bands and density bands