Some families of optimal and efficient repeated measurements designs

John Stufken

doi:10.1016/0378-3758(91)90083-Q

Some families of optimal and efficient repeated measurements designs

John Stufken

Arizona State University

Research output: Contribution to journal › Article › peer-review

47 Scopus citations

Abstract

Conditions that ensure simple information matrices for the estimation of direct and residual treatment effects under an additive, homoscedastic model are given. Examples of designs that satisfy these conditions are presented. For the number of periods not exceeding the number of treatments designs that satisfy the conditions are derived from orthogonal arrays of index unity. Their efficiency is considered and some of them, as well as some other designs, are shown to be universally optimal over certain subclasses of designs.

Original language	English (US)
Pages (from-to)	75-83
Number of pages	9
Journal	Journal of Statistical Planning and Inference
Volume	27
Issue number	1
DOIs	https://doi.org/10.1016/0378-3758(91)90083-Q
State	Published - Jan 1991

Keywords

Direct and residual effects
balanced and strongly balanced designs
efficient designs
orthogonal arrays
orthogonal arrays of Type I
universal optimality

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty
Applied Mathematics

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10.1016/0378-3758(91)90083-Q

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Some families of optimal and efficient repeated measurements designs

Abstract

Keywords

ASJC Scopus subject areas

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