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##### Conditional indpendence test for continuous variables using the distance correlation
#####
#####################
dist.condi <- function(ind1, ind2, cs, dat, type = NULL, rob = FALSE, R = 499) {
## ind1 and ind2 are the two indices of the two variables whose correlation is of interest
## cs is a vector with the indices of of variable(s), over which the condition takes place
## dat is the data, a matrix form
## type is either "pearson" or "spearman"
## For a robust estimation of the PEarson correlation set rob = TRUE or FALSE otherwise
d <- sum( cs>0 ) ## dimensionality of cs
x1 <- dat[, ind1]
x2 <- dat[, ind2 ]
if ( d == 0 ) { ## There are no conditioning variables
mod <- energy::dcov.test(x1, x2, R = R)
dof <- 1
stat <- mod$statistic
pvalue <- log( mod$p.value )
} else{ ## there are conditioning variables
z <- dat[, cs]
mod <- energy::pdcor.test(x1, x2, z, R)
stat <- mod$statistic
dof <- NCOL(z)
pvalue <- log( mod$p.value )
}
#lets calculate the stat and p-value which are to be returned
result <- c(stat, pvalue, dof)
names(result) <- c('test', 'logged.p-value', 'df')
result
}
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