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Simulation study of three adjustment methods for the modified augmented design and comparison with the balanced lattice square design

Published online by Cambridge University Press:  27 March 2009

C. S. Lin
Affiliation:
Statistical Research Section, Engineering and Statistical Research Institute, Agriculture Canada, Ottawa, K1A 0C6, Canada
G. Poushinsky
Affiliation:
Statistical Research Section, Engineering and Statistical Research Institute, Agriculture Canada, Ottawa, K1A 0C6, Canada
P. Y. Jui
Affiliation:
Statistical Research Section, Engineering and Statistical Research Institute, Agriculture Canada, Ottawa, K1A 0C6, Canada

Summary

Three adjustment methods using control plots to adjust for soil variation in a modified augmented design (Lin & Poushinsky, 1983) were studied by simulation. The results show that adjustment by design structure (row and column correction factors) is best when soil variation is relatively uniform in one or two directions, while adjustment by regression analysis is best when the variation is multi-directional. Adjustment using the control plot as a fertility index is least satisfactory. A modified augmented design in a replicated experiment is generally inferior to a balanced lattice square design but is competitive when the percentage of environmental variation attributable to soil factors is less than 70% of the total variation.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1983

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