Tukey's Gapping
This function finds unusual spaces or gaps in a vector of random samples
gap(x = NULL)
x |
vector of values |
Values (x) are sorted from smallest to largest. Then Z values are calculated as follows: Zn-i+1=[i*(n-i)(Xn-i+1 - Xn-i)]^0.5
where n is the sample size
for i = 2,...,n calulate the 25 percent trimmed mean and divide into Z. This standardizes the distribution of the weighted gaps around a middle value of one. Suspiciously large observations should correspond to large standardized weighted gaps.
vector of standardized weighted gaps
Gary A. Nelson, Massachusetts Division of Marine Fisheries gary.nelson@mass.gov
Tukey, J. W. 1971. Exploratory data analysis. Addison-Wesley, Reading, MA. 431 pp.
y<-c(rnorm(10,10,2),1000) gap(y)
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