Orthonormal F Contrasts for Factors with Ordered Levels in Two-Factor Fixed-Effects ANOVAs

Title: Orthonormal F Contrasts for Factors with Ordered Levels in Two-Factor Fixed-Effects ANOVAs
Creator: Rayner, J. C. W.; Livingston, G. C.
Relation: Stats Vol. 6, Issue 3, p. 920-930
Publisher Link: http://dx.doi.org/10.3390/stats6030057
Publisher: MDPI AG
Resource Type: journal article
Date: 2023
Description: In multifactor fixed-effects ANOVAs, we show how to construct orthonormal F contrasts for main effects. Our primary focus is the case when the levels of the factor of interest are ordered. Likewise, in multifactor equally replicated fixed-effects ANOVAs, we show how to construct orthonormal F contrasts for interactions. The primary focus here is on interactions when both factors are ordered, although the approach also applies if just one factor is ordered. Interactions with both factors ordered may be interpreted in terms of generalised correlations.
Subject: equally replicated two-way ANOVA; generalised correlations; singular value decomposition theorem; orthonormal F contrasts
Identifier: http://hdl.handle.net/1959.13/1498393
Identifier: uon:54538
Identifier: ISSN:2571-905X
Language: eng
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