Some Elementary Theory of Permutation Tests

Abstract

In literature, permutation tests are mostly derived by means of heuristic arguments (Edgington and Onghena, 2007; Good, 2005). In this paper, we derive them within the sufficiency and conditionality principles of inference. Most important of their properties are exposed without formal proofs that can be found in the book by Pesarin and Salmaso (2010).

Keywords:

• Conditionality principle
• Permutation testing principle
• Permutation tests
• Sufficiency principle
• Uniform similarity
• Uniform unbiasedness

Mathematics Subject Classification:

• 62G10, 62G99, 62B99.