pairwisePermutationMatrix function

Pairwise two-sample independence tests with matrix output

Conducts pairwise two-sample independence tests across groups.

pairwisePermutationMatrix(
  formula = NULL,
  data = NULL,
  x = NULL,
  g = NULL,
  method = "fdr",
  ...
)

Arguments

• formula: A formula indicating the measurement variable and the grouping variable. e.g. y ~ group.
• data: The data frame to use.
• x: The response variable as a vector.
• g: The grouping variable as a vector.
• method: The p-value adjustment method to use for multiple tests. See stats::p.adjust.
• ...: Additional arguments passed to coin::independence_test.

Returns

A list consisting of: A matrix of p-values; the p-value adjustment method; a matrix of adjusted p-values.

Details

The input should include either formula and data; or x, and g.

This function is a wrapper for coin::independence_test, passing pairwise groups to the function. It's critical to read and understand the documentation for this function to understand its use and options.

For some options for common tests, see Horthorn et al., 2008.

Note

The parsing of the formula is simplistic. The first variable on the left side is used as the measurement variable. The first variable on the right side is used for the grouping variable.

Examples

### Fisher-Pitman test

data(BrendonSmall)

library(coin)
                                 
independence_test(Sodium ~ Instructor, data = BrendonSmall, 
                  teststat = "quadratic") 
                                      
PT = pairwisePermutationMatrix(Sodium ~ Instructor,
                               data     = BrendonSmall,
                               teststat = "quadratic",
                               method   = "fdr")
PT

PA = PT$Adjusted
library(multcompView)
multcompLetters(PA,
                compare="<",
                threshold=0.05,
                Letters=letters)

References

https://rcompanion.org/handbook/K_02.html

Hothorn, T., K. Hornik, M.A. van de Wiel, and A. Zeileis. 2008. Implementing a Class of Permutation Tests: The coin Package. Journal of Statistical Software, 28(8), 1–23.

See Also

pairwisePermutationTest

Author(s)

Salvatore Mangiafico, mangiafico@njaes.rutgers.edu