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A Nonparametrical Evaluation of Anova and MANOVA Designs Using Interaction Structure Analysis
Authors:Mark Stemmler
Abstract:The interaction structure analysis (ISA) is proposed as a nonparametric procedure for the evaluation of uni- and multivariate analysis of variance models. Main effects and interactions of (independent) treatment variables are replaced by interaction-types where types are defined as those treatment-response combinations which occur significantly more often than expected under a null hypothesis (Ho) of no treatment effects. The application of ISA and the typological interpretation of ISA results are illustrated for an ANOVA design from toxicology and for a MANOVA design from psychopharmacology.
Keywords:Nonparametric testing  ANOVA designs  MANOVA designs  Interaction analysis  Treatment response patterns  Configural frequency analysis  Contingency tables  Fourfold tests
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