Visualising interactions in bi- and triadditive models for three-way tables

Albers, Casper and Gower, John (2017). Visualising interactions in bi- and triadditive models for three-way tables. Chemometrics and Intelligent Laboratory Systems, 167 pp. 238–247.

DOI: https://doi.org/10.1016/j.chemolab.2017.05.014

URL: http://doi.org/10.1016/j.chemolab.2017.05.014

Abstract

This paper concerns the visualisation of interaction in three-way arrays. It extends some standard ways of visualising biadditive modelling for two-way data to the case of three-way data. Three-way interaction is modelled by the Parafac method as applied to interaction arrays that have main effects and biadditive terms removed. These interactions are visualised in three and two dimensions. We introduce some ideas to reduce visual overload that can occur when the data array has many entries. Details are given on the interpretation of a novel way of representing rank-three interactions accurately in two dimensions. The discussion has implications regarding interpreting the concept of interaction in three-way arrays.

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• Item ORO ID
• 53886
• Item Type
• Journal Item
• ISSN
• 0169-7439
• Keywords
• Interpretation of interaction; Modelling of interaction; Visualisation of interaction; Biadditive models; Individual scaling
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2017 The Authors
• Depositing User
• ORO Import