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An implementation of N-way repeated measures ANOVA: effect coding, automated unpacking of interactions, and randomization testing

An implementation of N-way repeated measures ANOVA: effect coding, automated unpacking of interactions, and randomization testing

Gladwin, Thomas Edward (2020) An implementation of N-way repeated measures ANOVA: effect coding, automated unpacking of interactions, and randomization testing. MethodsX, 7:100947. ISSN 2215-0161 (Online) (doi:https://doi.org/10.1016/j.mex.2020.100947)

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Abstract

The paper presents the details of an implementation of repeated measures ANOVA, consisting of a set of functions to organize data and represent contrasts to be tested and run statistical tests. The implementation is focused on uses common in experimental psychology. An arbitrary number of within-subject factors, each with an arbitrary number of levels, can be used. A non-parametric, randomization- and permutation-based formulation of repeated measures ANOVA was defined and implemented. Methods for testing interactions with categorical and continuous between-subject variables are implemented. Post-hoc tests for exploring interactions are automated. Simulations indicate correct control of false positive rate for all types of test. The software provides output with statistics including p-values and partial eta squared.

Item Type: Article
Uncontrolled Keywords: repeated measures ANOVA, Matlab, M-file, automated, interactions, open source, algorithm, calculations
Subjects: B Philosophy. Psychology. Religion > BF Psychology
Faculty / Department / Research Group: Faculty of Education, Health & Human Sciences
Faculty of Education, Health & Human Sciences > Institute for Lifecourse Development
Faculty of Education, Health & Human Sciences > Institute for Lifecourse Development > Centre for Mental Health
Last Modified: 23 Jun 2020 13:18
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: None
Selected for REF2021: None
URI: http://gala.gre.ac.uk/id/eprint/28627

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