#####################
## Q1 and Q9 error
#####################
qqStats <- function(x, q1, q9){
## Area between quantiles
diffQ1Q9 <- q9 - q1
diffQ1Q9Sum <- sum(diffQ1Q9, na.rm = TRUE) / sum(x, na.rm = TRUE)
diffQ1Q9Med <- median(diffQ1Q9)/max(diffQ1Q9)
## Observations below Q1
ultraPQ1 <- q1 - x
idxUPQ1 <- ultraPQ1 > 0
## number of occurrences
ultraPQ1Num <- sum(idxUPQ1)
## Median of excess normalized with x
ultraPQ1Med <- median(ultraPQ1[idxUPQ1] / x[idxUPQ1], na.rm = TRUE)
## Observations above Q9
ultraPQ9 <- x - q9
idxUPQ9 <- ultraPQ9 > 0
ultraPQ9Num <- sum(idxUPQ9)
ultraPQ9Med <- median(ultraPQ9[idxUPQ9] / x[idxUPQ9], na.rm = TRUE)
## Result
q1q9 <- c(diffQ1Q9Sum, diffQ1Q9Med,
ultraPQ1Num, ultraPQ1Med,
ultraPQ9Num, ultraPQ9Med)
names(q1q9) <- c('difSUM', 'difMED',
'uq1NUM', 'uq1MED',
'uq9NUM', 'uq9MED')
return(q1q9)
}
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