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#' Calculate Si using linear method by excluding Xi
#'
#' @name si_linear_exc
#'
#' @description Calculate Si using linear method by excluding Xi at each iteration while calculating Si
#'
#' @param x A Dataframe
#' @param avg_type Choosing average type. So far "simple", "geometric" and "harmonic" average are availableƧ
#'
#' @return A data frame
#'
#' @examples
#' x <- data.frame(rnorm(20),rnorm(20),rnorm(20),rnorm(20))
#' si_linear_exc(x,avg_type = "simple")
si_linear_exc <- function(x,avg_type = "simple")
{
# calculating composite index (ci)
y<- calc_average(x,avg_type)
# tidying up
row.names(y) <- NULL
colnames(y) <- c("ci")
d <- dim(x)[2]
s_i_exc <- NULL
for (i in 1:d)
{
xx <- x[,-i]
#y<- calc_average(xx,avg_type)
m <- lm(y$ci~as.matrix(xx))
m_s <- summary(m)
r_2 <- m_s$r.squared
s_i_exc <- rbind(s_i_exc,r_2)
}
colnames(s_i_exc) <- NULL
row.names(s_i_exc) <- NULL
si_normalized <-s_i_exc/sum(s_i_exc)
final_lst <- list(s_i_exc,si_normalized)
names(final_lst) <- c("si","si_normalized")
return(final_lst)
}
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