The Wilcoxon Signed Rank Test is a non-parametric test used to determine whether two related samples have the same distribution. It is an alternative to the paired t-test when the data does not meet the assumptions of normality or equal variances.

To perform a Wilcoxon Signed Rank Test in R, we can use the built-in function wilcox.test(). The syntax for this function is: 

wilcox.test(x, y = NULL, paired = FALSE, alternative = c("two.sided", "less", "greater"), conf.level = 0.95)

Where x and y are the two related samples that we want to compare. If paired is set to TRUE, then the samples are assumed to be paired. The alternative argument specifies the alternative hypothesis, and conf.level sets the confidence level for the test.

Here is an example of how to perform a Wilcoxon Signed Rank Test in R: 

# Create two related samples
x <- c(1, 2, 3, 4, 5)
y <- c(2, 3, 4, 5, 6)

# Perform a Wilcoxon Signed Rank Test
wilcox.test(x, y, paired = TRUE)

The output of this function will include the test statistic, the p-value, and a confidence interval for the difference in medians. If the p-value is less than our chosen significance level (e.g., 0.05), we can reject the null hypothesis and conclude that the two samples have different distributions.