# exceptionalScore

0th

Percentile

##### exceptionalScore

This function can be used to detect exceptionally high or low scores in a vector.

Keywords
univariate
##### Usage
exceptionalScore(x, prob = 0.025, both = TRUE, silent = FALSE, quantileCorrection = 1e-04, quantileType = 8)
##### Arguments
x
Vector in which to detect exceptional scores.
prob
Probability that a score is exceptionally positive or negative; i.e. scores with a quartile lower than prob or higher than 1-prob are considered exceptional (if both is TRUE, at least). So, note that a prob of .025 means that if both=TRUE, the most exceptional 5% of the values is marked as such.
both
Whether to consider values exceptional if they're below prob as well as above 1-prob, or whether to only consider values exceptional if they're below prob is prob is < .5, or above prob if prob > .5.
silent
Can be used to suppress messages.
quantileCorrection
By how much to correct the computed quantiles; this is used because when a distribution is very right-skewed, the lowest quantile is the lowest value, which is then also the mode; without subtracting a correction, almost all values would be marked as 'exceptional'.
quantileType
The algorithm used to compute the quantiles; see quantile.
##### Details

Note that of course, by definition, prob of 2*prob percent of the values is exceptional, so it is usually not a wise idea to remove scores based on their 'exceptionalness'. Instead, use exceptionalScores, which calls this function, to see how often participants answered exceptionally, and remove them based on that.

##### Value

A logical vector, indicating for each value in the supplied vector whether it is exceptional.

quantile, exceptionalScores
exceptionalScore(c(1,1,2,2,2,3,3,3,4,4,4,5,5,5,5,6,6,7,8,20), prob=.05);