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Part of the book series: Mathematics and Its Applications ((MAIA,volume 306))

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Abstract

This paper is a survey of different results concerning the design of experiments when neighbour phenomena occur. When these phenomena are neglected in the analysis, several results pertain to the optimality of neighbour balanced designs. However, when correlations are incorporated in the analysis, the nonlinearity of estimators gives no hope of proving such optimality properties. Moreover, it is never believed that the model is quite exact. For this reason two quantities are introduced: validity and efficiency, and new Monte Carlo results about properties of different designs are presented.

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© 1994 Springer Science+Business Media Dordrecht

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Azaïs, JM. (1994). Design of Experiments and Neighbour Methods. In: Caliński, T., Kala, R. (eds) Proceedings of the International Conference on Linear Statistical Inference LINSTAT ’93. Mathematics and Its Applications, vol 306. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1004-4_23

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  • DOI: https://doi.org/10.1007/978-94-011-1004-4_23

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4436-3

  • Online ISBN: 978-94-011-1004-4

  • eBook Packages: Springer Book Archive

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