how to get hodges lehmann statistics in r in r

To obtain the Hodges-Lehmann statistic in R, you can use the wilcox.test function with the option "conf.int=TRUE" (which stands for "confidence interval"). The Hodges-Lehmann statistic is equivalent to the median of the pairwise differences between the observations in two groups.

Here is an example:

main.r
# Generate two random samples
set.seed(123)
x <- rnorm(10)
y <- rnorm(10, mean=1)

# Compute the Hodges-Lehmann statistic
res <- wilcox.test(x, y, conf.int=TRUE)
HL <- res$conf.int[1]  # Hodges-Lehmann estimate

# Print the results
cat("Hodges-Lehmann estimate:", HL, "\n")
print(res)
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In this example, we generate two random samples from normal distributions with different means. We then apply the wilcox.test function to compare the two samples and obtain the Hodges-Lehmann estimate. Finally, we print the results, which include the Hodges-Lehmann estimate and the full output of the wilcox.test function.