Residual Maximum Likelihood (REML) Estimation of a Neighbour Model for Field Experiments
- 1 June 1987
- journal article
- research article
- Published by JSTOR in Biometrics
- Vol. 43 (2) , 277-288
- https://doi.org/10.2307/2531812
Abstract
A spatial analysis of field experiments is proposed which takes account of association between neighbouring plots. The residual maximum likelihood (REML) method of Patterson and Thompson (1971, Biometrika 58, 545-554) is used to estimate parameters of a general neighbour model, which can be expressed as an autoregressive moving average (ARMA) model. Three data sets are analysed to (i) highlight the need for a model selection procedure, (ii) illustrate the differing results between incomplete block and neighbour analysis and the effect of including treated border plots in the design, and (iii) illustrate the environmental variation within an experiment using prediction of trend.This publication has 6 references indexed in Scilit:
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- The efficiency of incomplete block designs in National List and Recommended List cereal variety trialsThe Journal of Agricultural Science, 1983
- Incorporating Overlap Effects from Neighbouring Units into Response Surface ModelsJournal of the Royal Statistical Society Series C: Applied Statistics, 1980
- An investigation into inter‐plot interactions, in experiments with mildew on barley, using balanced designsAnnals of Applied Biology, 1979
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