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On the Effect of Correlation Between Plots in Randomized Block Experiments
Author(s) -
Aastveit Are Halvor
Publication year - 1983
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.19830250204
Subject(s) - analysis of covariance , statistics , mathematics , covariance , covariate , correlation , monte carlo method , analysis of variance , variance (accounting) , one way analysis of variance , covariance matrix , econometrics , accounting , business , geometry
Correlation between adjacent plots in field experiments are common. In this paper the effect of correlation on the usual analysis of variance in a randomized block design is studied. A generalised analysis of variance where correlation is taken into consideration, and the analysis of covariance where the residuals of the neighbouring plots are used as covariates, is discussed. Uniformity trials are used as a basis of a Monte‐Carlo study. The generalised analysis improved the power of the tests. The analysis of covariance method was not better than the usual analysis of variance method.