Testing for Level–Degree Interaction Effects in Two-Factor Fixed-Effects ANOVA When the Levels of Only One Factor Are Ordered

Autor: J. C. W. Rayner, G. C. Livingston
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Stats, Vol 7, Iss 2, Pp 481-491 (2024)
Druh dokumentu: article
ISSN: 2571-905X
DOI: 10.3390/stats7020029
Popis: In testing for main effects, the use of orthogonal contrasts for balanced designs with the factor levels not ordered is well known. Here, we consider two-factor fixed-effects ANOVA with the levels of one factor ordered and one not ordered. The objective is to extend the idea of decomposing the main effect to decomposing the interaction. This is achieved by defining level–degree coefficients and testing if they are zero using permutation testing. These tests give clear insights into what may be causing a significant interaction, even for the unbalanced model.
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