Misc,
Thesis chapter 4: Permutation tests to reveal interaction effects
(July 2022)translation.
DOI: 10.13140/RG.2.2.24500.32640/1
Abstract
The superiority (see Chapter 5) of the exact procedure with small and non-orthogonal samples or sample groups becomes even clearer with factorial (2 x 2 or r x c) plans. The advantage of the factorial division of elements or test persons is based on the fact that with fewer units more information can be gained with an increasing number of factors. The necessary number of units (=persons) can be further restricted for the permutation method (cf. Chapter 5.2 or Chapter 5.3). Another benefit of factorial designs is the ability to uncover interaction effects. Edgington said in 1995: A second purpose of factorial designs is to permit experimenters to investigate interactions. An interaction is a difference in the effect of a factor from one level to the next level of another factor. Especially interesting are disordinal interactions, ....(S.122) So far, however, the possibility of determining interaction effects in independent 2 x 2 or r x c plans (=complete random plans) using an invariance permutation test has been negated.
