On the equivalence of proportional cell frequencies and orthogonality of interaction spaces in n-way ANOVA
type: Item
instance of: scholarly article
title: On the equivalence of proportional cell frequencies and orthogonality of interaction spaces in n-way ANOVA
zbMATH Open document ID: 0567.62059
DOI: 10.1016/0024-3795(85)90184-3
author: Akimichi Takemura
published in: Linear Algebra and its Applications
publication date: 1985-01-01T00:00:00Z
review text: Consider a general n-way crossed classification in ANOVA with unequal cell frequencies. We prove the orthogonality of interaction spaces (suitably adjusted for lower order interaction spaces) holds if and only if the cell frequencies are proportional. Implications of proportional cell frequencies to the adjustment of all other effects are also studied.
Mathematics Subject Classification ID: 62J10
zbMATH DE Number: 3905678
zbMATH Keywords: n-way crossed classification
zbMATH Keywords: unequal cell frequencies
zbMATH Keywords: orthogonality of interaction spaces
zbMATH Keywords: proportional cell frequencies
MaRDI profile type: Publication
full work available at URL: 0024-3795(85)90184-3
OpenAlex ID: W2082955114
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description: scientific article; zbMATH DE number 3905678