Optimal repeated measurements designs under interaction
type: Item
instance of: scholarly article
title: Optimal repeated measurements designs under interaction
zbMATH Open document ID: 0624.62077
DOI: 10.1016/0378-3758(87)90102-9
author: Mausumi Sen
author: Rahul Mukerjee
published in: Journal of Statistical Planning and Inference
publication date: 1987-01-01T00:00:00Z
review text: The robustness of some optimality results on repeated measurements designs is investigated when the underlying model is allowed to be non- additive incorporating an interaction due to the direct and residual effects of treatments. The procedure involves the checking of some orthogonality conditions and the calculus of factorial arrangements is applied for this purpose. Some new constructions of optimal repeated measurements designs have also been considered.
Mathematics Subject Classification ID: 62K05
Mathematics Subject Classification ID: 62K15
zbMATH DE Number: 4013802
zbMATH Keywords: circular model
zbMATH Keywords: non-circular model
zbMATH Keywords: strongly balanced uniform design
zbMATH Keywords: universal optimality
zbMATH Keywords: robustness
zbMATH Keywords: repeated measurements designs
zbMATH Keywords: non- additive
zbMATH Keywords: interaction
zbMATH Keywords: direct and residual effects of treatments
zbMATH Keywords: orthogonality conditions
MaRDI profile type: Publication
full work available at URL: 0378-3758(87)90102-9
OpenAlex ID: W1982910866
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description: scientific article; zbMATH DE number 4013802