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Neighbour balanced block designs for correlated errors

Identifieur interne : 003226 ( Main/Exploration ); précédent : 003225; suivant : 003227

Neighbour balanced block designs for correlated errors

Auteurs : Joachim Kunert [Allemagne]

Source :

RBID : ISTEX:B655B1039E3A4D6BFACE924810D82C2BD20E6F97

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English descriptors

Abstract

The paper considers a simple block model and assumes that the errors within the blocks are correlated, following a stationary first-order autoregressive process. Gill & Shukla (1985) consider this model, but they restrict the set of the competing designs to a small subset of the possible designs, the binary and equireplicate designs. In the present paper we show that the designs determined by Gill & Shukla are optimal over all possible designs for positive correlations and that neighbour balanced designs in general are highly efficient.

Url:
DOI: 10.1093/biomet/74.4.717


Affiliations:


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