Neighbour balanced block designs for correlated errors
Identifieur interne : 001016 ( Istex/Curation ); précédent : 001015; suivant : 001017Neighbour balanced block designs for correlated errors
Auteurs : Joachim Kunert [Allemagne]Source :
- Biometrika [ 0006-3444 ] ; 1987-12.
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
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<front><div type="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.</div>
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