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Stats, Volume 6, Issue 3

2023 September - 14 articles

Cover Story: Using two-factor fixed-effects ANOVAs, we show how to construct orthonormal F contrasts for main effects, while with equally replicated models, we also show how to construct orthonormal F contrasts for interaction effects. Our primary focus is when the levels of both factors are ordered. For these models, the interaction contrasts may be interpreted as generalised correlations. Thus, for example, ordinary correlation (linear–linear) and umbrella (linear–quadratic) effects may be detected. Our analysis is objective, whereas the standard plots only permit a subjective scrutiny of the data. View this paper
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Stats - ISSN 2571-905X
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