Reduced-rank models for interaction in unequally replicated two-way classifications

Robert J. Boik

Journal of Multivariate Analysis, 1989, vol. 28, issue 1, 69-87

Abstract: This paper extends reduced-rank regression models for application to interaction in unequally replicated two-way classifications having no empty cells. The a - b matrix of interaction parameters is modeled as a linear function of a rank-[varrho] matrix, where [varrho] = r are constructed and illustrated. The union-intersection test is particularly useful for simultaneous inference on product interaction contrasts.

Keywords: ANOVA; characteristic; roots; dimensionality; FANOVA; LR; tests; product; contrasts; union-intersection; tests; Wishart; matrix (search for similar items in EconPapers)
Date: 1989
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