R/boot.sd2.R

In affluenceIndex: Affluence (Richness) Indices

boot.sd2 <-
function(x, weight, k, alpha, nsim, 
                    boot.index = c("r.cha", "r.fgt"), gamma){
  
  if (boot.index == "r.cha"){
    r.cha1 <- r.cha(x, weight, k, alpha)
    
    n <- length(x)
    Rbb <- NULL
    for(i in 1:nsim){
      s <- sample(1:n, n, replace = T)
      ss <- x[s]
      wss <- weight[s] 
      rownames(ss) <- NULL
      
      R <- r.cha(ss, wss, k, alpha)
      Rb <- R
      Rbb <- rbind(Rb,Rbb)
    }
    
    r.se <- sd(Rbb)
    ci1_up <- r.cha1 + qnorm(gamma)*r.se
    ci1_low <- r.cha1 - qnorm(gamma)*r.se
    ci2_up <- quantile(Rbb,1-(1-gamma)/2)
    ci2_low <- quantile(Rbb,(1-gamma)/2)
    
    tab <- rbind(c(ci1_low, r.cha1, ci1_up), c(ci2_low, r.cha1, ci2_up))
    colnames(tab) <- c("ci.low", "r.cha", "ci.up")
    rownames(tab) <- c("norm", "quantile")
    outlist <- list(se.r.cha = r.se, summary = tab, boot.ind = as.vector(Rbb))
  }
  
  if (boot.index == "r.fgt"){
    r.fgt1 <- r.fgt(x, weight, k, alpha)
    
    n <- length(x)
    Rbb <- NULL
    for(i in 1:nsim){
      s <- sample(1:n, n, replace = T)
      ss <- x[s]
      wss <- weight[s] 
      rownames(ss) <- NULL
      
      R <- r.fgt(ss, wss, k, alpha)
      Rb <- R
      Rbb <- rbind(Rb,Rbb)
    }
    
    r.se <- sd(Rbb)
    ci1_up <- r.fgt1 + qnorm(gamma)*r.se
    ci1_low <- r.fgt1 - qnorm(gamma)*r.se
    ci2_up <- quantile(Rbb,1-(1-gamma)/2)
    ci2_low <- quantile(Rbb,(1-gamma)/2)
    
    tab <- rbind(c(ci1_low, r.fgt1, ci1_up), c(ci2_low, r.fgt1, ci2_up))
    colnames(tab) <- c("ci.low", "r.fgt", "ci.up")
    rownames(tab) <- c("norm", "quantile")
    outlist <- list(se.r.fgt = r.se, summary = tab, boot.ind = as.vector(Rbb))
  }
  
  return(outlist)
}