fishmethods (version 1.10-4)

gap: Tukey's Gapping

Description

This function finds unusual spaces or gaps in a vector of random samples

Usage

gap(x = NULL)

Arguments

x

vector of values

Value

vector of standardized weighted gaps

Details

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.

References

Tukey, J. W. 1971. Exploratory data analysis. Addison-Wesley, Reading, MA. 431 pp.

Examples

# NOT RUN {
 y<-c(rnorm(10,10,2),1000)
 gap(y)
# }