Nearest Neighbour (NN) Analysis of Field Experiments

dc.contributor.authorWilkinson, G.N.
dc.contributor.authorEckert, S.R.
dc.contributor.authorHancock, T.W.
dc.contributor.authorMayo, O.
dc.date.accessioned2014-09-06T06:47:36Z
dc.date.available2014-09-06T06:47:36Z
dc.date.issued1983
dc.description.abstractThe paper is in two parts. Part I presents results of a Monte Carlo randomization study of Papadakis's covariance method of NN analysis which show that (i) a non-iterated Papadakis analysis tends to be conservatively biassed; (ii) iteration of the analysis as suggested by Bartlett (1978) leads to substantial positive bias in the treatment F ratio; (iii) the method is very inefficient when there are substantial trend effects in the data. A theoretical explanation of these results is given. Part II describes a new method of NN analysis discovered by the first author and developed in collaboration with the co-authors. The method is essentially a "moving-block" analogue of classical forms of analysis for "fixed" blocks (or rows, columns). It avoids the defects of Papadakis's method and leads to approximately unbiassed analyses. It is nearly always and often substantially more efficient on average than classical analyses of complete or incomplete block experiments, and also more efficient than standard analyses of Latin or lattice square designs if there are appreciable row X column interactions in the data. New criteria of design for NN balance are described. Validity of the new method under randomization is demonstrated empirically with Monte Carlo studies.en_US
dc.identifier.citationJ.R.Statist.Soc.B(1983), 45,No.2, pp.151-211en_US
dc.identifier.urihttp://hdl.handle.net/123456789/5425
dc.language.isoenen_US
dc.subjectAnalysis of Field Experimentsen_US
dc.subjectNearest Neighbour Methodsen_US
dc.subjectNN Analysisen_US
dc.subjectIntra-N Analysisen_US
dc.subjectPapadakis's Methoden_US
dc.subjectMonte Carloen_US
dc.subjectRandomization Distributionsen_US
dc.subjectBias In F Ratioen_US
dc.subjectEfficiencyen_US
dc.subjectSpatial Modelsen_US
dc.subjectNN-Balanced Designsen_US
dc.titleNearest Neighbour (NN) Analysis of Field Experimentsen_US
dc.typeArticleen_US

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