VALID RANDOMISATION FOR THE FIRST-DIFFERENCE ANALYSIS |
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| Authors: | H Monod J-M Azaïs RA Bailey |
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| Institution: | Laboratoire de Biometrie, INRA-Versailles, route de Saint-Cyr, F78026 Versailles, France.;Laboratoire de Statistique et Probabilités, UniversitéPaul Sabatier, 118 route de Narbonne, F31062 Toulouse Cedex, France.;School of Mathematical Sciences, Queen Mary and Westfield College, Mile End Road, London El 4NS, UK. |
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| Abstract: | A general method is presented for randomising a block design while preserving the neighbour relationships between treatments. The randomisation possesses validity properties for the first-difference analysis introduced by Besag & Kempton (1986). The estimators of treatment differences are unbiased, and the paper shows how to calculate quadratic estimators of their variance, which are unbiased if treatment effects and plot effects are additive. Simplifications, which appear when the design is neighbour-balanced, are described and illustrated. |
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| Keywords: | Neighbour analysis neighbour design quadratic unbiased estimator valid randomisation |
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