Information matrices for mixed effects models with applications to the optimality of repeated measurements designs
type: Item
instance of: scholarly article
title: Information matrices for mixed effects models with applications to the optimality of repeated measurements designs
zbMATH Open document ID: 0766.62045
DOI: 10.1016/0378-3758(92)90072-Z
author: S. Singh
published in: Journal of Statistical Planning and Inference
publication date: 1993-04-01T00:00:00Z
review text: The paper considers a repeated measurements (RM) design with carry over effects. A general mixed effects model is considered for a response vector and information matrices for the parameters involved in the model are developed. An identity, necessary to hold in the construction of information matrices, is also proved. Use of information matrices has been made to show the optimality of uniform balanced RM designs. The proofs involve quite lengthy but important expressions in matrices.
Mathematics Subject Classification ID: 62K05
Mathematics Subject Classification ID: 62K10
zbMATH DE Number: 147342
zbMATH Keywords: carry over effects
zbMATH Keywords: general mixed effects model
zbMATH Keywords: information matrices
zbMATH Keywords: optimality of uniform balanced RM designs
reviewed by: B. L. Agarwal
MaRDI profile type: Publication
Wikidata QID: Q61856002
cites work: On the optimalizes of the mbgdd's under mixed effects model
cites work: Q4110493
cites work: Q3038432
cites work: Q3996149
cites work: Q4072671
cites work: Optimal design and refinement of the linear model with applications to repeated measurements designs
cites work: Optimality of balanced uniform repeated measurements designs
cites work: Repeated Measurement Designs
cites work: On the choice of optimality criteria in comparing statistical designs
cites work: Some families of optimal and efficient repeated measurements designs
full work available at URL: 0378-3758(92)90072-z
OpenAlex ID: W2023329898
description: scientific article; zbMATH DE number 147342